CN108181424A - The speed coupling response function measurement device and method of propellant order Oscillating mode - Google Patents
The speed coupling response function measurement device and method of propellant order Oscillating mode Download PDFInfo
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Abstract
本发明公开了推进剂二阶振荡模态的速度耦合响应函数测量方法,选定T型燃烧器,T型燃烧器包括燃烧器本体,燃烧器本体内的两端分别安装有相同构型和配方的推进剂试件夹,燃烧器本体长度的L/4或3L/4处安装有与其内部相通的喷管,燃烧器本体两端的外壁均分别安装有一高频响压强传感器,压强传感器用于测量燃烧器本体内的压强振荡信号;燃烧器本体长度的L/2处安装有两个触发激励装置,通过在T型燃烧器上安装测试用片状药、环状药进行测试,得出二阶声振频率下速度耦合响应函数;本发明可以在不改变基频长度T型燃烧实验装置前提下,获得单一的二阶频率的压强振荡特性。
The invention discloses a method for measuring the velocity coupling response function of the second-order oscillation mode of the propellant. A T-shaped burner is selected. The T-shaped burner includes a burner body, and the two ends of the burner body are respectively installed with the same configuration and formula. The propellant sample clamp is installed at L/4 or 3L/4 of the length of the burner body with a nozzle connected to the inside, and a high-frequency response pressure sensor is installed on the outer wall of the burner body at both ends, and the pressure sensor is used to measure The pressure oscillation signal in the burner body; two trigger excitation devices are installed at L/2 of the length of the burner body, and the second-order Velocity coupling response function at the acoustic-vibration frequency; the present invention can obtain the pressure oscillation characteristics of a single second-order frequency without changing the length of the fundamental frequency T-type combustion experiment device.
Description
技术领域technical field
本发明属于固体推进剂技术领域,具体涉及推进剂二阶振荡模态的速度 耦合响应函数测量装置和方法。The invention belongs to the technical field of solid propellants, in particular to a device and method for measuring the velocity coupling response function of the second-order oscillation mode of the propellant.
背景技术Background technique
目前常采用的固体推进剂二阶振荡模态的速度耦合方法存在如下缺点: (1)实验中利用驱动药产生激励,而对于复合推进剂,其燃烧产物中含有 大量的固体颗粒和粉尘,粒子阻尼比较大,很难形成自激振荡;(2)驱动药 和测试药的推进剂配方不同,需要分别测量这两种药的压强耦合响应函数, 而每次实验都需要测量好几次,实验次数比较多;(3)二阶激励的产生靠偏 置喷管和可燃挡板来维持,而如何放置可燃挡板实际操作起来非常困难,位 置稍微有点偏差,就有可能激励出其他振型。The velocity coupling method of the second-order oscillation mode of the solid propellant commonly used at present has the following disadvantages: (1) The driving charge is used to generate excitation in the experiment, and for the composite propellant, the combustion product contains a large amount of solid particles and dust, particles The damping is relatively large, and it is difficult to form self-excited oscillations; (2) the propellant formulations of the driving drug and the test drug are different, and the pressure coupling response functions of the two drugs need to be measured separately, and each experiment needs to be measured several times. There are many; (3) The second-order excitation is maintained by offset nozzles and combustible baffles, and how to place the combustible baffles is very difficult to operate in practice. A slight deviation in the position may excite other mode shapes.
发明内容Contents of the invention
本发明所要解决的技术问题在于针对上述现有技术的不足,提供一种不 改变基频长度T型燃烧实验装置前提下,获得单一的二阶频率的压强振荡特 性。The technical problem to be solved by the present invention is to provide a kind of not changing fundamental frequency length T-shaped combustion experimental device premise, obtain the pressure oscillation characteristic of single second-order frequency for the deficiency of above-mentioned prior art.
为解决上述技术问题,本发明采用的技术方案是,推进剂二阶振荡模态 的速度耦合响应函数测量方法,该测量方法包括如下:In order to solve the problems of the technologies described above, the technical solution adopted in the present invention is, the velocity coupling response function measurement method of propellant second-order oscillation mode, and this measurement method comprises as follows:
步骤一、选定长度为L的T型燃烧器,该T型燃烧器包括燃烧器本体, 燃烧器本体内的两端分别安装有相同构型和配方的推进剂试件夹,燃烧器本 体长度的L/4或3L/4处安装有与其内部相通的喷管,燃烧器本体两端的外壁 均分别安装有一高频响压强传感器,压强传感器用于测量燃烧器本体内的压 强振荡信号;燃烧器本体长度的L/2处安装有两个触发激励装置,触发激励 装置用于在燃烧器本体内产生压强振荡;Step 1. Select a T-shaped burner with a length of L. The T-shaped burner includes a burner body. The two ends of the burner body are respectively equipped with propellant sample holders of the same configuration and formula. The length of the burner body is The L/4 or 3L/4 of the burner is equipped with a nozzle connected to the inside, and a high-frequency response pressure sensor is installed on the outer wall of the burner body at both ends, and the pressure sensor is used to measure the pressure oscillation signal in the burner body; Two trigger excitation devices are installed at L/2 of the body length, and the trigger excitation devices are used to generate pressure oscillation in the burner body;
步骤二、通过在T型燃烧器上安装测试用片状药、环状药进行测试, 并根据测试结果得出二阶声振频率下速度耦合响应函数:Step 2. Test by installing the test flakes and rings on the T-shaped burner, and obtain the velocity coupling response function at the second-order acoustic-vibration frequency according to the test results:
或 or
其中,αG(L8)为将测试用片状药推进剂安装于T型燃烧器两端的推进剂 试件夹上,且将测试用环状药安装于T型燃烧器L/8位置处时推进剂燃烧产 生的声压净增长率;αG(3L/8)为将测试用片状药推进剂安装于T型燃烧器两端 的推进剂试件夹上,且将测试用环状药安装于T型燃烧器L/8位置处时推进 剂燃烧产生的声压净增长率,αG(L/8&5L/8)为将测试用片状药推进剂安装于T型 燃烧器两端的推进剂试件夹上,且将测试用环状药安装于T型燃烧器L/8和 5L/8位置处时推进剂燃烧产生的声压净增长率,αG(3L/8&7L/8)为将测试用片状药 推进剂安装于T型燃烧器两端的推进剂试件夹上,且将测试用环状药安装于 T型燃烧器3L/8和7L/8位置处时推进剂燃烧产生的声压净增长率,γ为比 热比;为平均压强;SC为通道面积;SB为推进剂燃面面积;f压强振荡基 频;r为推进剂燃速;ρp为推进剂密度。Among them, α G(L8) is when the test flake propellant is installed on the propellant specimen clamps at both ends of the T-shaped burner, and the test annular charge is installed at the L/8 position of the T-shaped burner The net growth rate of sound pressure produced by propellant combustion; α G(3L/8) is the test piece propellant installed on the propellant specimen clamps at both ends of the T-shaped burner, and the test ring propellant installed The net growth rate of sound pressure generated by propellant combustion at the L/8 position of the T-shaped burner, α G(L/8&5L/8) is the propellant installed at both ends of the T-shaped burner The net growth rate of the sound pressure generated by the propellant combustion when the test annular charge is installed at the positions L/8 and 5L/8 of the T-shaped burner, α G(3L/8&7L/8) is the The propellant propellant for the test is installed on the propellant sample holders at both ends of the T-shaped burner, and the propellant combustion is generated when the annular charge for the test is installed at the positions 3L/8 and 7L/8 of the T-shaped burner. The net growth rate of sound pressure, γ is the specific heat ratio; S C is the channel area; S B is the propellant burning surface area; f is the fundamental frequency of pressure oscillation; r is the propellant burning rate; ρ p is the propellant density.
进一步地,步骤二的具体方法为:Further, the specific method of step two is:
步骤a、将测试用推进剂安装于推进剂试件夹上,打开数据采集系统, 启动压强传感器,同时启动两个推进剂试件夹的点火开关,使两端的测试推 进剂同时点火;Step a, install the test propellant on the propellant sample holder, open the data acquisition system, start the pressure sensor, start the ignition switches of the two propellant sample holders simultaneously, so that the test propellants at both ends are ignited simultaneously;
点火后t1时间,触发其中的一个触发激励装置,形成第一路触发激励, 由压强传感器测量燃烧器本体内工作压强衰减系数α1;At time t 1 after ignition, trigger one of the trigger excitation devices to form the first trigger excitation, and measure the working pressure decay coefficient α 1 in the burner body by the pressure sensor;
在第一路触发激励成功后,再延迟t2时间,触发另一个触发激励装置, 形成第二路触发激励,由压强传感器测量燃烧器本体内的工作压强衰减系数 α2;After the first trigger excitation is successful, delay the t2 time to trigger another trigger excitation device to form the second trigger excitation, and measure the working pressure decay coefficient α 2 in the burner body by the pressure sensor;
其中,t1=t/2,t为推进剂总燃烧时间;t2=t-t1+t3,当推进剂为杯状药时, t3=10ms;当推进剂为片状药时,t3=0ms;Among them, t 1 =t/2, t is the total burning time of the propellant; t 2 =tt 1 +t 3 , when the propellant is a cup-shaped drug, t 3 =10ms; when the propellant is a tablet-shaped drug, t 3 = 0ms;
根据工作压强衰减系数α1、α2得出推进剂燃烧产生的声压净增长率 αG=αc0=α1-α2,αc0为推进剂试件在两端位置处的燃面增益,并根据压强耦 合响应函数表达式得出二阶振荡频率的响应函数值;According to the working pressure attenuation coefficients α 1 and α 2 , the net growth rate of sound pressure generated by propellant combustion α G = α c0 = α 1 - α 2 , α c0 is the combustion surface gain of the propellant specimen at both ends , and according to the pressure coupling response function expression, the response function value of the second-order oscillation frequency is obtained;
其中,为测得的平均燃速;a为推进剂燃烧温度下的理论声速;am为 实测声速,am=2fL;in, is the measured average burning velocity; a is the theoretical sound velocity at the propellant combustion temperature; a m is the measured sound velocity, a m =2fL;
步骤b、将测试用片状药推进剂安装于T型燃烧器两端的推进剂试件夹 上,且将测试用环状药安装于T型燃烧器内L/8位置处,按照步骤a中方法 进行点火和两次触发激励,通过压强传感器的记录数据,得出推进剂燃烧产 生的声压净增长率αG(L/8)=αc0+αc(L/8)+αV(L/8);Step b. Install the flake propellant for the test on the propellant sample holders at both ends of the T-shaped burner, and install the ring-shaped charge for the test at the L/8 position in the T-shaped burner, and follow the steps in step a. The method is to carry out ignition and trigger excitation twice, and obtain the net growth rate of sound pressure generated by propellant combustion α G(L/8) = α c0 + α c(L/8) + α V( L/8) ;
其中,αV(L/8)为将测试用片状药推进剂安装于两端的推进剂试剂夹、且将 测试用环状药安装于T型燃烧器内L/8位置时的速度耦合项;αc(L/8)为将测 试用片状药推进剂安装于两端的推进剂试剂夹、且将测试用环状药安装于T 型燃烧器内L/8位置时的压强耦合项,且有Among them, α V(L/8) is the velocity coupling term when the test propellant is installed on both ends of the propellant reagent clip, and the test ring drug is installed at the L/8 position in the T-shaped burner ; α c(L/8) is the pressure coupling item when the test propellant is installed on the propellant reagent clip at both ends, and the test ring drug is installed at the L/8 position in the T-shaped burner, and have
其中,此时x=L/8,为测试用环状药与燃烧室端部的距离;Wherein, at this moment x=L/8, is the distance between the annular drug and the end of the combustion chamber for testing;
步骤c、将测试用片状药推进剂安装于T型燃烧器两端的推进剂试件夹 上,且将测试用环状药安装于T型燃烧器内3L/8位置处,按照步骤a中方 法进行点火和两次触发激励,通过压强传感器的记录数据,得出推进剂燃烧 产生的声压净增长率αG(3L/8)=αc0+αc(3L/8)+αV(3L/8);Step c. Install the flake propellant for the test on the propellant sample holders at both ends of the T-shaped burner, and install the ring-shaped charge for the test at the position 3L/8 in the T-shaped burner. Follow the steps in step a. The method is to carry out ignition and trigger excitation twice, and obtain the net growth rate of sound pressure generated by propellant combustion α G(3L/8) = α c0 + α c(3L/8) + α V( 3L/8) ;
其中,αV(3L/8)为将测试用片状药推进剂安装于两端的推进剂试剂夹、且 将测试用环状药安装于T型燃烧器内3L/8位置时的速度耦合项;αc(3L/8)为将 测试用片状药推进剂安装于两端的推进剂试剂夹、且将测试用环状药安装于 T型燃烧器内3L/8位置时的压强耦合项;Among them, α V(3L/8) is the velocity coupling item when the propellant propellant of the test tablet is installed at both ends of the propellant reagent clip, and the test annular drug is installed at the position of 3L/8 in the T-shaped burner ; α c (3L/8) is the pressure coupling item when the propellant of the test tablet is installed on the propellant reagent clip at both ends, and the ring drug for the test is installed at the position of 3L/8 in the T-shaped burner;
其中,此时x=3L/8,为测试用环状药与燃烧室端部的距离;Wherein, this moment x=3L/8, is the distance of test ring drug and combustion chamber end;
步骤d、根据步骤a、步骤b、步骤c得出二阶声振频率下速度耦合响应 函数:Step d, according to step a, step b, step c obtain the velocity coupling response function under the second-order acoustic vibration frequency:
进一步地,步骤二的具体方法为:Further, the specific method of step two is:
步骤a’、将测试用推进剂安装于推进剂试件夹上,打开数据采集系统, 启动压强传感器,同时启动两个推进剂试件夹的点火开关,使两端的测试推 进剂同时点火;Step a', the propellant for testing is installed on the propellant sample clip, the data acquisition system is turned on, the pressure sensor is started, and the ignition switches of the two propellant sample clips are started simultaneously, so that the test propellants at both ends are ignited simultaneously;
点火后t1时间,触发其中的一个触发激励装置,形成第一路触发激励, 由压强传感器测量燃烧器本体内工作压强振荡衰减系数α1;At time t 1 after ignition, trigger one of the trigger excitation devices to form the first trigger excitation, and measure the working pressure oscillation attenuation coefficient α 1 in the burner body by the pressure sensor;
在第一路触发激励成功后,再延迟t2时间,触发另一个触发激励装置, 形成第二路触发激励,由压强传感器测量燃烧器本体内的工作压强振荡衰减 系数α2;After the first trigger excitation is successful, delay t2 time to trigger another trigger excitation device to form the second trigger excitation, and measure the working pressure oscillation attenuation coefficient α 2 in the burner body by the pressure sensor;
其中,t1=t/2,t为推进剂总燃烧时间;t2=t-t1+t3,当推进剂为杯状药时, t3=10ms;当推进剂为片状药时,t3=0ms;Among them, t 1 =t/2, t is the total burning time of the propellant; t 2 =tt 1 +t 3 , when the propellant is a cup-shaped drug, t 3 =10ms; when the propellant is a tablet-shaped drug, t 3 = 0ms;
根据工作压强振荡衰减系数α1、α2得出推进剂燃烧产生的声压净增长率 αG=αc0=α1-α2,αc0为推进剂试件在两端位置处的燃面增益,并根据压强耦 合响应函数表达式得出二阶振荡频率的响应函数值;According to the working pressure oscillation attenuation coefficients α 1 and α 2 , the net growth rate of sound pressure generated by propellant combustion α G = α c0 = α 1 - α 2 , α c0 is the burning surface of the propellant specimen at both ends Gain, and the response function value of the second-order oscillation frequency is obtained according to the pressure coupling response function expression;
其中,为测得的平均燃速;a为推进剂燃烧温度下的理论声速;am为 实测声速,am=2fL;in, is the measured average burning velocity; a is the theoretical sound velocity at the propellant combustion temperature; a m is the measured sound velocity, a m =2fL;
步骤b’、将测试用片状药推进剂安装于T型燃烧器两端的推进剂试件夹 上,且将测试用环状药安装于T型燃烧器内L/8和5L/8位置处,按照步骤a’ 中方法进行点火和两次触发激励,通过压强传感器的记录数据,得出推进剂 燃烧产生的声压净增长率Step b', install the propellant of the flake propellant for testing on the propellant sample holders at both ends of the T-shaped burner, and install the ring-shaped propellant for the test at positions L/8 and 5L/8 in the T-shaped burner , according to the method in step a', carry out ignition and two trigger excitations, and obtain the net growth rate of sound pressure generated by propellant combustion through the recorded data of the pressure sensor
αG(L/8&5L/8)=αc0+αc(L/8)+αc(5L/8)+αV(L/8)+αV(5L/8);α G(L/8&5L/8) =α c0 +α c(L/8) +α c(5L/8) +α V(L/8) +α V(5L/8) ;
其中,αc0为推进剂试件在两端位置处的燃面增益,αv(L/8)、αv(5L/8)分别 为将测试用片状药推进剂安装于两端的推进剂试剂夹、且将测试用环状药安 装于T型燃烧器内L/8、5L/8位置时的速度耦合项;αc(L/8)、αc(5L/8)分别为 将测试用片状药推进剂安装于两端的推进剂试剂夹、且将测试用环状药安装 于T型燃烧器内L/8、5L/8位置时的压强耦合项,且有Among them, α c0 is the burning surface gain of the propellant specimen at both ends, α v(L/8) and α v(5L/8) are the propellant propellants installed at both ends of the propellant propellant for testing Reagent clip, and the speed coupling item when the annular drug for testing is installed in the position L/8, 5L/8 in the T-shaped burner; α c(L/8) and α c(5L/8) are respectively the The pressure coupling item when the propellant propellant is installed at both ends of the propellant reagent clip and the annular drug for testing is installed at the L/8 and 5L/8 positions in the T-shaped burner, and there are
其中,此时x=L/8,为测试用环状药与燃烧室端部的距离;Wherein, at this moment x=L/8, is the distance between the annular drug and the end of the combustion chamber for testing;
其中,此时x=5L/8,为测试用环状药与燃烧室端部的距离;Wherein, at this moment x=5L/8, is the distance between the annular drug and the end of the combustion chamber for testing;
步骤c’、将测试用片状药推进剂安装于T型燃烧器两端的推进剂试件夹 上,且将测试用环状药安装于T型燃烧器内3L/8和7L/8位置处,按照步骤 a’中方法进行点火和两次触发激励,通过压强传感器的记录数据,得出推进 剂燃烧产生的声压净增长率αG(3L/8&7L/8)=αc0+αc(3L/8)+αc(7L/8)+αV(3L/8)+αV(7L/8);Step c', install the propellant of flake propellant for testing on the propellant sample holders at both ends of the T-shaped burner, and install the ring-shaped propellant for testing at positions 3L/8 and 7L/8 in the T-shaped burner According to the method in step a', the ignition and two trigger excitations are carried out, and through the recorded data of the pressure sensor, the net growth rate of the sound pressure generated by the propellant combustion is obtained α G(3L/8&7L/8) = α c0 + α c( 3L/8) +α c(7L/8) +α V(3L/8) +α V(7L/8) ;
其中,αv(3L/8)、αv(7L/8)分别为将测试用片状药推进剂安装于两端的推进 剂试剂夹、且将测试用环状药安装于T型燃烧器内3L/8、7L/8位置时的速度 耦合项,αc(3L/8)、αc(7L/8)分别为将测试用片状药推进剂安装于两端的推进剂 试剂夹、且将测试用环状药安装于T型燃烧器内3L/8、7L/8位置时的压强耦 合项,且有Among them, α v(3L/8) and α v(7L/8) are the propellant reagent clips with the test tablet propellant installed at both ends, and the test ring drug installed in the T-shaped burner The velocity coupling items at the positions of 3L/8 and 7L/8, α c(3L/8) and α c(7L/8) are respectively the propellant reagent clips that install the propellant of the tablet drug used in the test at both ends, and the The pressure coupling item when the test ring drug is installed at the positions of 3L/8 and 7L/8 in the T-shaped burner, and there are
其中,此时x=3L/8,为测试用环状药与燃烧室端部的距离;Wherein, this moment x=3L/8, is the distance of test ring drug and combustion chamber end;
其中,此时x=7L/8,为测试用环状药与燃烧室端部的距离;Wherein, at this moment x=7L/8, is the distance between the ring drug and the end of the combustion chamber for testing;
步骤d’、根据步骤a’、步骤b’、步骤c’得出二阶声振频率下速度耦合响 应函数:Step d', according to step a', step b', step c' get the velocity coupling response function under the second-order acoustic vibration frequency:
进一步地,测试用环状药的厚度小于等于3%L。Further, the thickness of the test ring drug is less than or equal to 3%L.
本发明的另一种技术方案:一种上述推进剂二阶振荡模态的速度耦合响 应函数测量方法使用的测量装置,包括长度为L的T型燃烧器,该T型燃烧 器包括燃烧器本体,燃烧器本体内的两端安装有相同构型和相同配方的推进 剂试件夹,且在燃烧器本体外壁上L/2位置处安装有两个触发激励装置,用 于在燃烧器本体内产生压强振荡;燃烧器本体的两端的外壁上还分别安装有 高频响压强传感器,用于测量燃烧器本体内的压强振荡信号;燃烧器本体长 度的L/8和5L/8处、或3L/8和7L/8处设置有环状测试药试件夹;Another technical solution of the present invention: a measuring device used in the method for measuring the velocity coupling response function of the second-order oscillation mode of the propellant, including a T-shaped burner with a length of L , and the T-shaped burner includes a burner body , the two ends of the burner body are installed with propellant sample clips of the same configuration and the same formula, and two trigger excitation devices are installed at the L/2 position on the outer wall of the burner body for Generate pressure oscillations; high-frequency response pressure sensors are installed on the outer walls of the two ends of the burner body to measure the pressure oscillation signal in the burner body; L/8 and 5L/8 of the length of the burner body, or 3L /8 and 7L/8 are provided with ring-shaped test drug specimen holders;
还包括数据采集系统和点火时序控制系统,数据采集系统分别与压强传 感器、触发激励装置相连接;触发激励装置和推进剂试件夹均与点火时序控 制系统相连接。It also includes a data acquisition system and an ignition timing control system. The data acquisition system is connected to the pressure sensor and the trigger excitation device respectively; the trigger excitation device and the propellant sample holder are connected to the ignition timing control system.
本发明推进剂二阶振荡模态的速度耦合响应函数测量装置和方法具有 如下优点:不改变基频长度T型燃烧实验装置前提下,通过精确可控触发激 励方法,获得单一的二阶频率的压强振荡特性,并基于该振荡特性,提出了 二阶压强振荡条件下的速度耦合响应函数测量方法,获得固体推进剂速度耦 合响应函数特性。The device and method for measuring the velocity coupling response function of the propellant second-order oscillation mode of the present invention have the following advantages: under the premise of not changing the length of the fundamental frequency T-shaped combustion experiment device, the single second-order frequency can be obtained through an accurate and controllable trigger excitation method Pressure oscillation characteristics, and based on the oscillation characteristics, a measurement method of velocity coupling response function under the second-order pressure oscillation condition is proposed to obtain the velocity coupling response function characteristics of solid propellant.
附图说明Description of drawings
图1是本发明固体推进剂二阶振荡模态的速度耦合响应函数测量装置的 结构示意图;Fig. 1 is the structural representation of the velocity coupling response function measuring device of solid propellant second-order oscillation mode of the present invention;
图2为本发明中所用固体推进剂片状药和环状药的结构示意图;Fig. 2 is the structural representation of used solid propellant tablet medicine and ring medicine among the present invention;
图3为本发明实施例中通过压力传感器得出的时间压强关系图。Fig. 3 is a time-pressure diagram obtained by a pressure sensor in an embodiment of the present invention.
其中:1.T型燃烧器;2.燃烧器本体;3.触发激励装置;4.压强传感器; 5.推进剂试件夹;6.数据采集系统;7.点火时序控制系统,8.环状测试药试件 夹;9.喷管。Among them: 1. T-type burner; 2. Burner body; 3. Trigger excitation device; 4. Pressure sensor; 5. Propellant specimen holder; 6. Data acquisition system; State test drug sample folder; 9. Nozzle.
具体实施方式Detailed ways
下面结合附图和具体实施方式对本发明进行详细说明。The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.
本发明公开了一种推进剂二阶振荡模态的速度耦合响应函数测量方法, 在T型燃烧器1长度L(振荡基频f=f1)保持不变的前提下,采用两路激励 触发的方式进行触发,为保证只产生单一二阶振荡频率(f2=2f1),触发激励 装置3需安放在T型燃烧器1内L/2位置处,并且为保证二阶声能损失最小 喷管需放置L/4(3L/4)位置,即二阶振荡模态的波节点。试验测量采用二次 触发激励法,分别在固体推进剂在T型燃烧器1内燃烧中间时刻和刚刚结束 时刻进行触发激励,获得单一二阶压强振荡衰减数据,采用迦辽金方法分别 获得两次触发后压强振荡衰减系数,从而获得二阶振荡频率作用下的速度耦 合响应函数值The invention discloses a method for measuring the velocity coupling response function of the second-order oscillation mode of the propellant. On the premise that the length L of the T-shaped burner 1 (oscillation fundamental frequency f=f 1 ) remains unchanged, two excitation triggers are used. triggering in the same way, in order to ensure only a single second-order oscillation frequency (f 2 =2f 1 ), the trigger excitation device 3 needs to be placed at the L/2 position in the T-shaped burner 1, and in order to ensure the second-order sound energy loss The smallest nozzle needs to be placed at the L/4 (3L/4) position, which is the wave node of the second-order oscillation mode. The test measurement adopts the secondary trigger excitation method, and triggers the excitation at the middle moment and the moment just after the solid propellant burns in the T-shaped burner 1 to obtain a single second-order pressure oscillation attenuation data, and uses the Galerkin method to obtain two The attenuation coefficient of the pressure oscillation after the first trigger, so as to obtain the value of the velocity coupling response function under the action of the second-order oscillation frequency
该测量方法具体包括如下步骤:The measurement method specifically includes the following steps:
步骤一、根据压强振荡基频f1选定长度为L的T型燃烧器1,满足f1=a/ (2L),该T型燃烧器1包括燃烧器本体2,燃烧器本体2内的两端分别安 装有相同构型和配方的推进剂试件夹5,燃烧器本体1长度的L/4或3L/4处 安装有与其内部相通的喷管9,燃烧器本体1两端的外壁均分别安装有一高 频响压强传感器4,压强传感器4用于测量燃烧器本体2内的压强振荡信号; 燃烧器本体2长度的L/2处安装有两个触发激励装置3,触发激励装置3用 于在燃烧器本体2内产生压强振荡,触发激励装置3可选用 ZL201310014235.1中的装置,其满足Ppulser=~20MPa、Ppulser=~50MPa、 Ppulser=~90MPa和Ppulser=~150MPa四种类型。Step 1. Select a T-shaped burner 1 with a length of L according to the pressure oscillation fundamental frequency f 1, satisfying f 1 =a/(2L), the T-shaped burner 1 includes a burner body 2, and the burner body 2 Propellant sample holders 5 of the same configuration and formula are respectively installed at both ends, and a nozzle 9 communicating with the interior of the burner body 1 is installed at L/4 or 3L/4 of the length of the burner body 1, and the outer walls of the two ends of the burner body 1 are uniform. A high-frequency response pressure sensor 4 is respectively installed, and the pressure sensor 4 is used to measure the pressure oscillation signal in the burner body 2; two trigger excitation devices 3 are installed at L/2 of the length of the burner body 2, and the trigger excitation device 3 is used for In order to generate pressure oscillation in the burner body 2, the trigger excitation device 3 can be selected from the device in ZL201310014235.1, which satisfies P pulser = ~ 20MPa, P pulser = ~ 50MPa, P pulser = ~ 90MPa and P pulser = ~ 150MPa. types.
步骤二、通过在T型燃烧器1上安装测试用片状药、环状药进行测试, 并根据测试结果得出二阶声振频率下速度耦合响应函数:Step 2. Test by installing the test tablet and ring drug on the T-shaped burner 1, and obtain the velocity coupling response function at the second-order acoustic vibration frequency according to the test results:
或 or
其中,αG(L/8)为将测试用片状药推进剂安装于T型燃烧器两端的推进剂 试件夹上,且将测试用环状药安装于T型燃烧器L/8位置处时推进剂燃烧产 生的声压净增长率;αG(3L/8)为将测试用片状药推进剂安装于T型燃烧器两端 的推进剂试件夹上,且将测试用环状药安装于T型燃烧器L/8位置处时推进 剂燃烧产生的声压净增长率,αG(L/8&5L/8)为将测试用片状药推进剂安装于T型 燃烧器两端的推进剂试件夹上,且将测试用环状药安装于T型燃烧器L/8和 5L/8位置处时推进剂燃烧产生的声压净增长率,αG(3L/8&7L/8)为将测试用片状药 推进剂安装于T型燃烧器两端的推进剂试件夹上,且将测试用环状药安装于 T型燃烧器3L/8和7L/8位置处时推进剂燃烧产生的声压净增长率,γ为比 热比;为平均压强;SC为通道面积;SB为推进剂燃面面积;f压强振荡基 频;r为推进剂燃速;ρp为推进剂密度。Among them, α G(L/8) is to install the propellant of flake propellant for testing on the propellant specimen clamps at both ends of the T-shaped burner, and install the ring-shaped propellant for testing at the L/8 position of the T-shaped burner The net growth rate of sound pressure produced by propellant combustion; α G(3L/8) is the propellant propellant installed on the propellant specimen clamps at both ends of the T-shaped burner, and the ring-shaped test propellant When the propellant is installed at the L/8 position of the T-shaped burner, the net growth rate of the sound pressure generated by the propellant combustion, α G(L/8&5L/8) is the propellant installed at both ends of the T-shaped burner for the test propellant The net growth rate of sound pressure generated by propellant combustion when the propellant sample is clamped and the annular charge for testing is installed at the positions L/8 and 5L/8 of the T-shaped burner, α G(3L/8&7L/8) In order to install the propellant of the tablet charge for testing on the propellant sample holders at both ends of the T-shaped burner, and the propellant burns when the annular charge for testing is installed at the positions 3L/8 and 7L/8 of the T-shaped burner The net growth rate of sound pressure generated, γ is the specific heat ratio; S C is the channel area; S B is the propellant burning surface area; f is the fundamental frequency of pressure oscillation; r is the propellant burning rate; ρ p is the propellant density.
步骤二可采用两种方法实现。第一种方法具体为:Step 2 can be implemented in two ways. The first method is specifically:
步骤a、将测试用推进剂安装于推进剂试件夹5上,打开数据采集系统 6,启动压强传感器4,同时启动两个推进剂试件夹5的点火开关,使两端的 测试推进剂同时点火;Step a, the test propellant is installed on the propellant specimen holder 5, the data acquisition system 6 is turned on, the pressure sensor 4 is started, and the ignition switches of the two propellant specimen holders 5 are started at the same time, so that the test propellants at both ends are simultaneously ignition;
点火后t1时间,触发其中的一个触发激励装置3,形成第一路触发激励, 由压强传感器4测量燃烧器本体2内工作压强衰减系数α1;After t1 time of ignition, trigger one of the trigger excitation devices 3 to form the first trigger excitation, and measure the working pressure decay coefficient α1 in the burner body 2 by the pressure sensor 4;
在第一路触发激励成功后,再延迟t2时间,触发另一个触发激励装置3, 形成第二路触发激励,由压强传感器4测量燃烧器本体2内的工作压强衰减 系数α2;After the first trigger excitation succeeds, delay t2 time again, trigger another trigger excitation device 3, form the second trigger excitation, and measure the working pressure decay coefficient α 2 in the burner body 2 by the pressure sensor 4;
其中,t1=t/2,t为推进剂总燃烧时间;t2=t-t1+t3,当推进剂为杯状药时, t3=10ms;当推进剂为片状药时,t3=0ms;Among them, t 1 =t/2, t is the total burning time of the propellant; t 2 =tt 1 +t 3 , when the propellant is a cup-shaped drug, t 3 =10ms; when the propellant is a tablet-shaped drug, t 3 = 0ms;
根据工作压强衰减系数α1、α2得出推进剂燃烧产生的声压净增长率 αG=αc0=α1-α2,αc0为推进剂试件在两端位置处的燃面增益,并根据压强耦 合响应函数表达式得出二阶振荡频率的响应函数值;According to the working pressure attenuation coefficients α 1 and α 2 , the net growth rate of sound pressure generated by propellant combustion α G = α c0 = α 1 - α 2 , α c0 is the combustion surface gain of the propellant specimen at both ends , and according to the pressure coupling response function expression, the response function value of the second-order oscillation frequency is obtained;
其中,为测得的平均燃速;a为推进剂燃烧温度下的理论声速;am为 实测声速,am=2fL;in, is the measured average burning velocity; a is the theoretical sound velocity at the propellant combustion temperature; a m is the measured sound velocity, a m =2fL;
步骤b、将测试用片状药推进剂安装于T型燃烧器1两端的推进剂试件 夹5上,且将测试用环状药安装于T型燃烧器1内L/8位置处,按照步骤a 中方法进行点火和两次触发激励,通过压强传感器4的记录数据,得出推进 剂燃烧产生的声压净增长率αG(L/8)=αc0+αc(L/8)+αV(L/8);Step b. Install the propellant of flakes for testing on the propellant specimen holders 5 at both ends of the T-shaped burner 1, and install the annular drug for testing at the L/8 position in the T-shaped burner 1, according to The method in step a performs ignition and trigger excitation twice, and obtains the net growth rate of sound pressure generated by propellant combustion α G(L/8) = α c0 +α c(L/8) through the recorded data of pressure sensor 4 +α V(L/8) ;
其中,αV(L/8)为将测试用片状药推进剂安装于两端的推进剂试剂夹5、且 将测试用环状药安装于T型燃烧器1内L/8位置时的速度耦合项;αc(L/8)为 将测试用片状药推进剂安装于两端的推进剂试剂夹5、且将测试用环状药安 装于T型燃烧器1内L/8位置时的压强耦合项,且有Among them, α V (L/8) is the speed when the propellant propellant of the test tablet is installed on the propellant reagent clip 5 at both ends, and the annular drug for the test is installed at the L/8 position in the T-shaped burner 1 Coupling term; α c(L/8) is the propellant reagent clip 5 installed at both ends of the propellant propellant for the test, and the ring drug for the test is installed at the L/8 position in the T-shaped burner 1 pressure coupling term, and there are
其中,此时x=L/8,为测试用环状药与燃烧室端部的距离。Wherein, at this time x=L/8, which is the distance between the test ring drug and the end of the combustion chamber.
步骤c、将测试用片状药推进剂安装于T型燃烧器1两端的推进剂试件 夹5上,且将测试用环状药安装于T型燃烧器1内3L/8位置处,按照步骤a中方法进行点火和两次触发激励,通过压强传感器4的记录数据,得出推 进剂燃烧产生的声压净增长率αG(3L/8)=αc0+αc(3L/8)+αV(3L/8);Step c, install the flake propellant for testing on the propellant sample holders 5 at both ends of the T-shaped burner 1, and install the annular drug for testing at the position 3L/8 in the T-shaped burner 1, according to The method in step a carries out ignition and two trigger excitations, and through the recorded data of the pressure sensor 4, the net growth rate of the sound pressure generated by the propellant combustion is obtained α G(3L/8) = α c0 +α c(3L/8) +α V(3L/8) ;
其中,αV(3L/8)为将测试用片状药推进剂安装于两端的推进剂试剂夹5、 且将测试用环状药安装于T型燃烧器1内3L/8位置时的速度耦合项;αc(3L/8)为将测试用片状药推进剂安装于两端的推进剂试剂夹5、且将测试用环状药 安装于T型燃烧器1内3L/8位置时的压强耦合项;Among them, α V(3L/8) is the speed when the propellant of the tablet drug propellant for the test is installed on the propellant reagent clip 5 at both ends, and the annular drug for the test is installed at the position of 3L/8 in the T-shaped burner 1 Coupling term; α c(3L/8) is the propellant reagent clip 5 installed at both ends of the propellant propellant for the test, and the ring drug for the test is installed at the 3L/8 position in the T-shaped burner 1 pressure coupling term;
其中,此时x=3L/8,为测试用环状药与燃烧室端部的距离。Wherein, at this time x=3L/8, which is the distance between the test ring drug and the end of the combustion chamber.
步骤d、根据步骤a、步骤b、步骤c得出二阶声振频率下速度耦合响应 函数:Step d, according to step a, step b, step c obtain the velocity coupling response function under the second-order acoustic vibration frequency:
另一种方法具体为:Another method is specifically:
步骤a’、将测试用推进剂安装于推进剂试件夹5上,打开数据采集系统 6,启动压强传感器4,同时启动两个推进剂试件夹5的点火开关,使两端的 测试推进剂同时点火;Step a', install the test propellant on the propellant sample holder 5, open the data acquisition system 6, start the pressure sensor 4, and start the ignition switches of the two propellant sample holders 5 at the same time, so that the test propellant at both ends Simultaneous ignition;
点火后t1时间,触发其中的一个触发激励装置3,形成第一路触发激励, 由压强传感器4测量燃烧器本体2内工作压强振荡衰减系数α1;After t1 time of ignition, one of the trigger excitation devices 3 is triggered to form the first trigger excitation, and the pressure sensor 4 measures the working pressure oscillation attenuation coefficient α1 in the burner body 2;
在第一路触发激励成功后,再延迟t2时间,触发另一个触发激励装置3, 形成第二路触发激励,由压强传感器4测量燃烧器本体2内的工作压强振荡 衰减系数α2;After the first trigger excitation is successful, delay the t2 time to trigger another trigger excitation device 3 to form the second trigger excitation, and measure the working pressure oscillation attenuation coefficient α 2 in the burner body 2 by the pressure sensor 4;
其中,t1=t/2,t为推进剂总燃烧时间;t2=t-t1+t3,当推进剂为杯状药时, t3=10ms;当推进剂为片状药时,t3=0ms;Among them, t 1 =t/2, t is the total burning time of the propellant; t 2 =tt 1 +t 3 , when the propellant is a cup-shaped drug, t 3 =10ms; when the propellant is a tablet-shaped drug, t 3 = 0ms;
根据工作压强振荡衰减系数α1、α2得出推进剂燃烧产生的声压净增长率 αG=αc0=α1-α2,αc0为推进剂试件在两端位置处的燃面增益,并根据压强耦 合响应函数表达式得出响应函数值;According to the working pressure oscillation attenuation coefficients α 1 and α 2 , the net growth rate of sound pressure generated by propellant combustion α G = α c0 = α 1 - α 2 , α c0 is the burning surface of the propellant specimen at both ends Gain, and get the response function value according to the pressure coupling response function expression;
其中,为测得的平均燃速;a为推进剂燃烧温度下的理论声速;am为 实测声速,am=2fL;in, is the measured average burning velocity; a is the theoretical sound velocity at the propellant combustion temperature; a m is the measured sound velocity, a m =2fL;
步骤b’、将测试用片状药推进剂安装于T型燃烧器1两端的推进剂试件 夹5上,且将测试用环状药安装于T型燃烧器1内L/8和5L/8位置处,按照 步骤a’中方法进行点火和两次触发激励,通过压强传感器4的记录数据,得 出推进剂燃烧产生的声压净增长率Step b', install the propellant of flakes for testing on the propellant sample holders 5 at both ends of the T-shaped burner 1, and install the ring-shaped drug for testing in L/8 and 5L/ in the T-shaped burner 1 At position 8, according to the method in step a', carry out ignition and trigger excitation twice, and obtain the net growth rate of sound pressure generated by propellant combustion through the recorded data of pressure sensor 4
αG(L/8&5L/8)=αc0+αc(L/8)+αc(5L/8)+αV(L/8)+αV(5L/8);α G(L/8&5L/8) =α c0 +α c(L/8) +α c(5L/8) +α V(L/8) +α V(5L/8) ;
其中,αc0为推进剂试件在两端位置处的燃面增益,αv(L/8)、αv(5L/8)分别 为将测试用片状药推进剂安装于两端的推进剂试剂夹5、且将测试用环状药 安装于T型燃烧器1内L/8、5L/8位置时的速度耦合项;αc(L/8)、αc(5L/8)分 别为将测试用片状药推进剂安装于两端的推进剂试剂夹5、且将测试用环状 药安装于T型燃烧器1内L/8、5L/8位置时的压强耦合项,且有Among them, α c0 is the burning surface gain of the propellant specimen at both ends, α v(L/8) and α v(5L/8) are the propellant propellants installed at both ends of the propellant propellant for testing Reagent clip 5, and the speed coupling item when the annular drug for testing is installed in the positions L/8 and 5L/8 in the T-shaped burner 1; α c(L/8) and α c(5L/8) are respectively The pressure coupling item when the propellant of the test tablet is installed on the propellant reagent clip 5 at both ends, and the ring drug for the test is installed at the positions L/8 and 5L/8 in the T-shaped burner 1, and has
其中,此时x=L/8,为测试用环状药与燃烧室端部的距离;Wherein, at this moment x=L/8, is the distance between the annular drug and the end of the combustion chamber for testing;
其中,此时x=5L/8,为测试用环状药与燃烧室端部的距离。Wherein, at this time, x=5L/8, which is the distance between the test ring drug and the end of the combustion chamber.
步骤c’、将测试用片状药推进剂安装于T型燃烧器1两端的推进剂试件 夹5上,且将测试用环状药安装于T型燃烧器1内3L/8和7L/8位置处,按 照步骤a’中方法进行点火和两次触发激励,通过压强传感器4的记录数据, 得出推进剂燃烧产生的声压净增长率αG(3L/8&7L/8)=αc0+αc(3L/8)+αc(7L/8)+αV(3L/8) +αV(7L/8);Step c', install the propellant of flakes for testing on the propellant sample holders 5 at both ends of the T-shaped burner 1, and install the ring-shaped drug for testing in the T-shaped burner 1 at 3L/8 and 7L/ At position 8, according to the method in step a', carry out ignition and trigger excitation twice, and obtain the net growth rate of sound pressure generated by propellant combustion α G(3L/8&7L/8) = α c0 through the recorded data of pressure sensor 4 +α c(3L/8) +α c(7L/8) +α V(3L/8) +α V(7L/8) ;
其中,αv(3L/8)、αv(7L/8)分别为将测试用片状药推进剂安装于两端的推进 剂试剂夹5、且将测试用环状药安装于T型燃烧器1内3L/8、7L/8位置时的 速度耦合项,αc(3L/8)、αc(7L/8)分别为将测试用片状药推进剂安装于两端的推 进剂试剂夹5、且将测试用环状药安装于T型燃烧器1内3L/8、7L/8位置时 的压强耦合项,且有Among them, α v(3L/8) and α v(7L/8) are the propellant reagent clips 5 that install the propellant of the tablet drug for testing at both ends, and the ring drug for testing is installed on the T-shaped burner Velocity coupling items at the positions of 3L/8 and 7L/8 in 1, α c(3L/8) and α c(7L/8) are the propellant reagent clips with the propellant of the test tablet installed at both ends respectively 5 , and the pressure coupling item when the annular drug for testing is installed in the position of 3L/8 and 7L/8 in the T-shaped burner 1, and there is
其中,此时x=3L/8,为测试用环状药与燃烧室端部的距离;Wherein, this moment x=3L/8, is the distance of test ring drug and combustion chamber end;
其中,此时x=7L/8,为测试用环状药与燃烧室端部的距离。Wherein, at this time x=7L/8, which is the distance between the test ring drug and the end of the combustion chamber.
步骤d’、根据步骤a’、步骤b’、步骤c’得出二阶声振频率下速度耦合响 应函数:Step d', according to step a', step b', step c' get the velocity coupling response function under the second-order acoustic vibration frequency:
其中,上述各步骤中测试用环状药的厚度小于等于3%L。Wherein, the thickness of the ring drug used for testing in the above steps is less than or equal to 3%L.
本发明还公开了一种推进剂二阶振荡模态的速度耦合响应函数测量方 法使用的测量装置,如图1所示,包括长度为L的T型燃烧器1,该T型燃 烧器1包括燃烧器本体2,燃烧器本体2内的两端安装有相同构型和相同配 方的推进剂试件夹5,且在燃烧器本体2外壁上L/2位置处安装有两个触发 激励装置3,用于在燃烧器本体2内产生压强振荡;燃烧器本体2的两端的 外壁上还分别安装有高频响压强传感器4,用于测量燃烧器本体2内的压强 振荡信号;燃烧器本体2长度的L/8和5L/8处、或3L/8和7L/8处设置有环 状测试药试件夹8。The present invention also discloses a measurement device used in the method for measuring the velocity coupling response function of the second-order oscillation mode of the propellant, as shown in FIG. The burner body 2, the two ends of the burner body 2 are equipped with propellant sample holders 5 of the same configuration and the same formula, and two trigger excitation devices 3 are installed at the L/2 position on the outer wall of the burner body 2 , used to generate pressure oscillation in the burner body 2; high-frequency response pressure sensors 4 are respectively installed on the outer walls of the two ends of the burner body 2, used to measure the pressure oscillation signal in the burner body 2; the burner body 2 L/8 and 5L/8, or 3L/8 and 7L/8 of the length are provided with ring-shaped test drug specimen holders 8 .
还包括数据采集系统6和点火时序控制系统7,数据采集系统6分别与 压强传感器4、触发激励装置3相连接;触发激励装置3和推进剂试件夹5 均与点火时序控制系统7相连接。It also includes a data acquisition system 6 and an ignition timing control system 7, the data acquisition system 6 is connected to the pressure sensor 4 and the trigger excitation device 3 respectively; the trigger excitation device 3 and the propellant sample holder 5 are all connected to the ignition timing control system 7 .
本实施例中,T型燃烧器1的长度为3.438m,直径为0.09m,喷管直径 为0.006m。T型燃烧器1的工作压强取为10MPa,脉冲激励的频率为二阶振 型的固有频率即340Hz。如图2所示,片状推进剂、环状推进剂为同一种配 方。考虑到复合推进剂所存在的缺点,这里采用不含铝的双基推进剂。位于 两端的测试药型为端面燃烧装药,用于测量其压强耦合响应函数,位于L/8 和3L/8的测试药为环状药,用于测量其速度耦合响应函数。如图3所示, 为通过压力传感器4得出的时间压强关系图。In the present embodiment, the length of T-type burner 1 is 3.438m, and diameter is 0.09m, and nozzle diameter is 0.006m. The working pressure of the T-shaped burner 1 is taken as 10MPa, and the frequency of the pulse excitation is the natural frequency of the second-order mode, that is, 340Hz. As shown in Figure 2, the flake propellant and ring propellant are the same formula. Considering the shortcomings of composite propellants, aluminum-free double-base propellants are used here. The test charges located at both ends are end-face burning charges, which are used to measure the pressure coupling response function, and the test charges located at L/8 and 3L/8 are annular charges, which are used to measure the velocity coupling response function. As shown in FIG. 3 , it is a time-pressure relationship graph obtained by the pressure sensor 4 .
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