CN111809508A - A Low-Frequency Lever Tuned Mass Damper - Google Patents
A Low-Frequency Lever Tuned Mass Damper Download PDFInfo
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Abstract
本发明公开了一种低频杠杆式调谐质量阻尼器,包括杠杆框架(1),其包括杠杆支架(11)及杠杆悬臂(12);与杠杆框架(1)垂直连接的固定机构(6),固定机构(6)内设有弹簧组件(2)及阻尼器(5),杠杆悬臂(12)远离所述固定机构(6)的一端设有质量单元(3),该质量单元(3)通过轴承(4)与所述杠杆悬臂(12)活动连接,质量单元(3)及杠杆悬臂(12)构成调谐质量阻尼器动力及动力臂,弹簧组件(2)、阻尼器(5)及杠杆悬臂(12)至所述杠杆支架(11)之间部分构成阻力及阻力臂;且所述质量单元(3)包括质量块(31)。本发明的调谐质量阻尼器,可有效避免主结构因大幅度振动而发生破坏,进而保护主结构不受损坏。
The invention discloses a low-frequency lever-type tuned mass damper, comprising a lever frame (1), comprising a lever bracket (11) and a lever cantilever (12); a fixing mechanism (6) vertically connected with the lever frame (1), The fixing mechanism (6) is provided with a spring assembly (2) and a damper (5), and the end of the lever cantilever (12) away from the fixing mechanism (6) is provided with a mass unit (3), the mass unit (3) passing through The bearing (4) is movably connected with the lever cantilever (12), the mass unit (3) and the lever cantilever (12) constitute a tuned mass damper power and power arm, the spring assembly (2), the damper (5) and the lever cantilever The part between (12) and the lever bracket (11) constitutes a resistance and a resistance arm; and the mass unit (3) includes a mass (31). The tuned mass damper of the present invention can effectively prevent the main structure from being damaged due to large-scale vibration, thereby protecting the main structure from damage.
Description
技术领域technical field
本发明涉及的是质量阻尼器的技术领域,尤其是涉及一种低频杠杆式调谐质量阻尼器。The present invention relates to the technical field of mass dampers, in particular to a low-frequency lever-type tuned mass damper.
背景技术Background technique
调谐质量阻尼器(Tuned Mass Damper,简称TMD)因其原理明确,构造简单,被广泛的应用于桥梁结构振动控制中,尤其适用于大跨度桥梁因风振引起的涡激振动控制。目前TMD的主要控制频率一般大于0.3HZ,而针对于低频率(小于0.3HZ)控制的TMD则相对较少。TMD的振动频率直接关系到整个装置的性能,一般TMD的自振频率越低,其振动周期越长,刚度越小,行程越大。Tuned Mass Damper (TMD) is widely used in bridge structure vibration control because of its clear principle and simple structure, especially for vortex-induced vibration control of large-span bridges caused by wind vibration. At present, the main control frequency of TMD is generally greater than 0.3HZ, and there are relatively few TMDs for low frequency (less than 0.3HZ) control. The vibration frequency of the TMD is directly related to the performance of the entire device. Generally, the lower the natural vibration frequency of the TMD, the longer the vibration period, the smaller the stiffness, and the larger the stroke.
TMD一般安装于钢箱梁内部,目前用于结构竖向减振的TMD结构型式主要有堆放式和悬吊式,主要区别在于前者采用压缩弹簧,后者采用拉伸弹簧。常规TMD设计时弹簧和质量块是直接相连,弹簧、阻尼器和质量块的动态行程往往是一致的。The TMD is generally installed inside the steel box girder. At present, the main types of TMD structures used for vertical vibration reduction of the structure are stacked and suspended. The main difference is that the former uses compression springs and the latter uses tension springs. In the conventional TMD design, the spring and the mass are directly connected, and the dynamic strokes of the spring, damper and mass are often the same.
低频TMD由于其自振周期较长,弹簧刚度较小,竖向载荷较大,弹簧的设计选型会非常困难。低刚度的弹簧也会由于其长度较长,静载压缩位移过大,动态行程较大等导致其加工和安装困难,甚至使用过程会出现失稳现象等。Due to its long natural vibration period, small spring stiffness and large vertical load, the design and selection of springs will be very difficult for low-frequency TMDs. Springs with low stiffness will also be difficult to process and install due to their long length, excessive static load compression displacement, and large dynamic stroke, and even instability during use.
发明内容SUMMARY OF THE INVENTION
针对现有技术的以上缺陷或改进需求,本发明提供一种低频杠杆式调谐质量阻尼器,利用杠杆原理放大了弹簧的受力,进而提高弹簧的整体刚度,并且压缩弹簧和阻尼器的动态行程,更有利于弹簧和阻尼器的设计选型,并可降低整个TMD的高度尺寸,节省安装空间。该低频杠杆式TMD可采用压缩弹簧设计成堆放式TMD,也可采用拉伸弹簧设计成悬吊式TMD,弹簧可根据实际需求分层布置,弹簧的设计选型更灵活方便。质量块质量可调,也可保证TMD的设计参数更加精确。In view of the above defects or improvement requirements of the prior art, the present invention provides a low-frequency lever-type tuned mass damper, which utilizes the lever principle to amplify the force of the spring, thereby improving the overall stiffness of the spring, and compressing the dynamic stroke of the spring and the damper. , which is more conducive to the design and selection of springs and dampers, and can reduce the height of the entire TMD and save installation space. The low-frequency lever-type TMD can be designed as a stacked TMD with a compression spring, or a suspended TMD with an extension spring. The springs can be arranged in layers according to actual needs, and the design and selection of springs are more flexible and convenient. The quality of the mass block is adjustable, which can also ensure that the design parameters of the TMD are more accurate.
为了实现上述目的,本发明提供一种低频杠杆式调谐质量阻尼器,包括:In order to achieve the above object, the present invention provides a low-frequency lever-type tuned mass damper, comprising:
杠杆框架,其包括杠杆支架及杠杆悬臂,所述杠杆悬臂通过轴承与所述杠杆支架实现活动连接;a lever frame, which includes a lever bracket and a lever cantilever, the lever cantilever is movably connected to the lever bracket through a bearing;
与所述杠杆框架垂直连接的固定机构,所述固定机构内设有弹簧组件及阻尼器,所述杠杆支架、固定机构底部或顶部通过钢箱梁固定支架与钢箱梁底板固定连接,构成调谐质量阻尼器的支点;A fixing mechanism vertically connected to the lever frame, a spring assembly and a damper are arranged in the fixing mechanism, and the bottom or top of the lever bracket and the fixing mechanism are fixedly connected to the bottom plate of the steel box girder through the steel box girder fixing bracket to form a tuning The fulcrum of the mass damper;
所述杠杆悬臂远离所述固定机构的一端设有质量单元,该质量单元通过轴承与所述杠杆悬臂活动连接,所述质量单元及杠杆悬臂构成调谐质量阻尼器动力及动力臂,所述弹簧组件、阻尼器及杠杆悬臂至所述杠杆支架之间部分构成阻力及阻力臂;且,The end of the lever cantilever away from the fixing mechanism is provided with a mass unit, the mass unit is movably connected with the lever cantilever through a bearing, the mass unit and the lever cantilever constitute a tuned mass damper power and power arm, and the spring assembly , The part between the damper and the lever cantilever to the lever bracket constitutes the resistance and resistance arm; and,
所述质量单元包括质量块,所述质量块的质量可调节,调节杠杆式调谐质量阻尼器的频率与主结构的频率一致,从而在所述主结构受外力振动时产生与其振动相反的惯性力,减小所述主结构的振幅。The mass unit includes a mass block, the mass of which can be adjusted, and the frequency of the lever-type tuned mass damper is adjusted to be consistent with the frequency of the main structure, so that when the main structure is vibrated by an external force, an inertial force opposite to its vibration is generated. , reducing the amplitude of the main structure.
进一步地,所述固定机构包括上连接板、下连接板及固定板;Further, the fixing mechanism includes an upper connecting plate, a lower connecting plate and a fixing plate;
所述上连接板与固定板固定连接;the upper connecting plate is fixedly connected with the fixing plate;
所述下连接板与钢箱梁底板固定连接。The lower connecting plate is fixedly connected with the bottom plate of the steel box girder.
进一步地,所述弹簧组件包括弹簧及导向柱;Further, the spring assembly includes a spring and a guide post;
所述导向柱分别设于所述上连接板和下连接板上;the guide posts are respectively arranged on the upper connecting plate and the lower connecting plate;
所述弹簧的两端分别套设于对应导向柱上。Both ends of the spring are respectively sleeved on the corresponding guide posts.
进一步地,所述弹簧的外面安装有套筒,用于固定弹簧的运动方向。Further, a sleeve is installed on the outside of the spring for fixing the movement direction of the spring.
进一步地,所述质量单元包括螺杆,所述质量块通过该螺杆固定连接。Further, the mass unit includes a screw, and the mass block is fixedly connected by the screw.
进一步地,所述杠杆支架包括杠杆横梁及与该杠杆横梁垂直设置的杠杆纵梁。Further, the lever bracket includes a lever beam and a lever longitudinal beam vertically arranged with the lever beam.
总体而言,通过本发明所构思的以上技术方案与现有技术相比,能够取得下列有益效果:In general, compared with the prior art, the above technical solutions conceived by the present invention can achieve the following beneficial effects:
1.本发明的低频杠杆式调谐质量阻尼器,通过调节质量块的数量,进而调节此TMD的频率,当此TMD频率与主结构频率一致,且在主结构受外力振动时,TMD会在主结构上产生与主结构振动相反的惯性力,进而减小主结构的振动幅度,避免了主结构因大幅度振动而发生破坏,进而保护主结构不受损坏。1. The low-frequency lever-type tuned mass damper of the present invention adjusts the frequency of the TMD by adjusting the number of mass blocks. When the frequency of the TMD is consistent with the frequency of the main structure, and the main structure is vibrated by an external force, the TMD will be in the main structure. The inertial force opposite to the vibration of the main structure is generated on the structure, thereby reducing the vibration amplitude of the main structure, avoiding the damage of the main structure due to large-scale vibration, and protecting the main structure from damage.
2.本发明的低频杠杆式调谐质量阻尼器,适用于低频率(小于0.3HZ)和大行程的TMD,通过杠杆原理,放大了弹簧的受力,进而提高弹簧的整体刚度,并且压缩弹簧和阻尼器的动态行程,更有利于弹簧和阻尼器的设计选型,并可降低整个TMD的高度尺寸,节省安装空间。2. The low-frequency lever-type tuned mass damper of the present invention is suitable for low-frequency (less than 0.3HZ) and large-stroke TMDs. Through the lever principle, the force of the spring is amplified, thereby improving the overall stiffness of the spring, and compressing the spring and The dynamic stroke of the damper is more conducive to the design and selection of springs and dampers, and can reduce the height dimension of the entire TMD, saving installation space.
3.本发明的低频杠杆式调谐质量阻尼器,可采用压缩弹簧设计成堆放式TMD,也可采用拉伸弹簧设计成悬吊式TMD,弹簧可根据实际需求分层布置,弹簧的设计选型更灵活方便。质量块质量可调,也可保证TMD的设计参数更加精确。3. The low-frequency lever-type tuned mass damper of the present invention can be designed as a stacked TMD by using a compression spring, or can be designed as a suspended TMD by using a tension spring. The springs can be arranged in layers according to actual needs, and the design and selection of the springs can be used. More flexible and convenient. The quality of the mass block is adjustable, which can also ensure that the design parameters of the TMD are more accurate.
4.本发明的低频杠杆式调谐质量阻尼器,导向柱对因应的安装在所述上连接板61的下表面和所述下连接板的上表面,所述弹簧套设于所述导向柱的外圆周上,一方面起到导向作用,迫使弹簧沿该导向柱仅发生垂向位移,同时限制弹簧发生其他自由度运动,提高阻尼器的精度。4. In the low-frequency lever-type tuned mass damper of the present invention, the guide columns are correspondingly installed on the lower surface of the upper connecting
5.本发明的低频杠杆式调谐质量阻尼器,采用轴承设计使得所述杠杆支架和所述杠杆悬臂之间处于可活动状态,便于实现杠杆功能,而且质量单元设于杠杠的一端,其通过自身重力作用,使得弹簧处于受压状态,当有桥梁结构受到外力扰动,打破这种平衡,即质量单元受外力作用做垂向运动,弹簧对应伸长或压缩,振动频率与主结构频率一致,从而抵消外力扰动,起到保护主结构的作用。5. The low-frequency lever-type tuned mass damper of the present invention adopts the bearing design to make the lever bracket and the lever cantilever in a movable state, which is convenient to realize the lever function, and the mass unit is arranged at one end of the lever, which passes through itself. The effect of gravity makes the spring in a state of compression. When the bridge structure is disturbed by external force, this balance is broken, that is, the mass element moves vertically under the action of external force, the spring is correspondingly elongated or compressed, and the vibration frequency is consistent with the frequency of the main structure, thus It can offset external disturbance and protect the main structure.
附图说明Description of drawings
图1为本发明实施例一种低频杠杆式调谐质量阻尼器的整体安装结构示意图;1 is a schematic diagram of the overall installation structure of a low-frequency lever-type tuned mass damper according to an embodiment of the present invention;
图2为本发明实施例一种低频杠杆式调谐质量阻尼器的三维结构示意图前视图;2 is a schematic front view of a three-dimensional structure of a low-frequency lever-type tuned mass damper according to an embodiment of the present invention;
图3为本发明实施例一种低频杠杆式调谐质量阻尼器的右视图;3 is a right side view of a low-frequency lever-type tuned mass damper according to an embodiment of the present invention;
图4为本发明实施例一种低频杠杆式调谐质量阻尼器的正视图;4 is a front view of a low-frequency lever-type tuned mass damper according to an embodiment of the present invention;
图5为本发明实施例一种低频杠杆式调谐质量阻尼器的杠杆原理图;5 is a schematic diagram of a lever of a low-frequency lever-type tuned mass damper according to an embodiment of the present invention;
图6为本发明实施例一种低频杠杆式调谐质量阻尼器的质量单元受力分析图。FIG. 6 is a force analysis diagram of a mass unit of a low-frequency lever-type tuned mass damper according to an embodiment of the present invention.
在所有附图中,同样的附图标记表示相同的技术特征,具体为:1-杠杆框架、11-杠杆支架、111-杠杆横梁、112-杠杆纵梁、12-杠杆悬臂、2-弹簧组件、21-弹簧、22-导向柱、3-质量块单元、31-质量块、32-螺杆、4-轴承、5-阻尼器、6-固定机构、61-上连接板、62-下连接板、63-固定板、8-钢箱梁固定支架、9-钢箱梁底板。In all drawings, the same reference numerals denote the same technical features, specifically: 1-lever frame, 11-lever bracket, 111-lever beam, 112-lever longitudinal beam, 12-lever cantilever, 2-spring assembly , 21-spring, 22-guide column, 3-mass block unit, 31-mass block, 32-screw, 4-bearing, 5-damper, 6-fixing mechanism, 61-upper connecting plate, 62-lower connecting plate , 63-fixed plate, 8-steel box girder fixed bracket, 9-steel box girder bottom plate.
具体实施方式Detailed ways
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅用以解释本发明,并不用于限定本发明。此外,下面所描述的本发明各个实施方式中所涉及到的技术特征只要彼此之间未构成冲突就可以相互组合。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.
如图1-图4所示,本发明实施例提供一种低频杠杆式调谐质量阻尼器,安装在箱梁的内部,其包括杠杆框架1、弹簧组件2、质量单元3、阻尼器5以及固定机构6。其中杠杆框架1包括杠杆支架11和杠杆悬臂12,所述杠杆支架11是由钢板焊接而成,其下端通过螺栓与预先安装在钢箱梁底板9上的钢箱梁固定支架8相连,进而固定安装在所述钢箱梁底板9上,作为本发明中杠杆结构的支点;所述杠杆悬臂12通过轴承4安装在所述杠杆支架11的两侧,所述杠杆悬臂12以所述杠杆支架11为支点可适度活动,比如绕所述轴承4转动。所述固定机构6包括上连接板61、下连接板62以及固定板63,所述上连接板61安装在所述杠杆悬臂12的中间支撑部上方,所述上连接板61的下方安装有弹簧组件2、阻尼器5和下连接板62,所述阻尼器5的下端安装在所述下连接板62的上面;所述弹簧组件2包括弹簧21和导向柱22,所述导向柱22对因应的安装在所述上连接板61的下表面和所述下连接板62的上表面,所述弹簧21套设于所述导向柱22的外圆周上,一方面起到导向作用,迫使弹簧21沿该导向柱22仅发生垂向位移,同时限制弹簧21发生其他自由度运动,所述弹簧21的外面安装有套筒,用于固定弹簧的运动方向,使其便于归位;所述上连接板61还与所述固定板63固定连接,所述固定板63与所述杠杆悬臂12通过轴承连接,这样可以保持所述上连接板61、所述弹簧组件2、所述阻尼器5以及所述下连接板62的竖向垂直运动;所述下连接板62通过螺栓与所述钢箱梁固定支架8连接进而安装在所述钢箱梁底板9上;所述质量单元3安装在所述杠杆悬臂12的末端,作为本发明中杠杆结构的动力结构,质量单元3由质量固定的n块钢板通过螺杆32连接而成,质量可调,用于控制TMD的频率。工作时,通过调节质量块31的数量,进而调节此TMD的频率,当此TMD频率与主结构频率一致,且在主结构受外力振动时,TMD会在主结构上产生与主结构振动相反的惯性力,进而减小主结构的振动幅度,避免了主结构因大幅度振动而发生破坏,进而保护主结构不受损坏。As shown in FIGS. 1-4 , an embodiment of the present invention provides a low-frequency lever-type tuned mass damper, which is installed inside a box beam and includes a
进一步地,如图1所示,杠杆支架11由顶部横梁111和侧边支架组成112,形成直立的门状结构,作为TMD的支点部分,主要起到支撑作用。所述杠杆悬臂12通过轴承4与所述杠杆支架1相连接,形成框架结构。所述杠杆悬臂12优选为左右各两个,同时,所述轴承4优选为4个,采用轴承设计使得所述杠杆支架11和所述杠杆悬臂12之间处于可活动状态,便于实现杠杆功能,而且质量单元设于杠杠的一端,其通过自身重力作用,使得弹簧21处于受压状态,当有桥梁结构受到外力扰动,打破这种平衡,即质量单元3受外力作用做垂向运动,弹簧21对应伸长或压缩,振动频率与主结构频率一致,从而抵消外力扰动,起到保护主结构的作用。Further, as shown in FIG. 1 , the
进一步地,在本发明的一个实施例中,如图3所示,所述弹簧组件2优选为6个弹簧21和对应的6对导向柱,可根据刚度和位移等实际需求通过在中间加设隔板分层布置,如此,弹簧的设计选型更灵活方便。所述弹簧组件2的上端与所述上连接板61相连,下端与所述下连接板62相连,这样的安装方式可以便于保持此TMD的竖向刚度。Further, in an embodiment of the present invention, as shown in FIG. 3 , the
进一步地,所述阻尼器5固定安装在所述上连接板61的下面和所述下连接板62的上面,所述阻尼器5优选为2个,固定安装于所述弹簧组件2的中间,这样使得阻尼器的运动轨迹和TMD主结构的运动轨迹保持一致性,方便控制。阻尼器已属于现有技术,是一种利用阻尼特性来减缓机械振动及消耗动能的装置,种类有多种,主要有液体阻尼器、气体阻尼器和电磁阻尼器三类。Further, the
进一步地,所述固定板63与所述杠杆悬臂12通过所述轴承4连接,所述固定板63的长度小于所述杠杆支架11的高度,且能够满足基本杠杆活动的需求。所述固定板63安装在所述上连接板61的两端下方,这样可以使得所述上连接板61、所述弹簧组件2、所述阻尼器5和所述下连接板62构成的整体结构进行竖向垂直运动。Further, the fixing
可选择性的,根据所需要的安装形式不同,所述上连接板61与所述固定板63连接,同时,所述下连接板62与钢箱梁固定支架8固定连接进而固定安装在所述钢箱梁底板上,由于所述杠杆悬臂12、上连接板61、固定板63及质量单元3的自身重力作用,使得所述杠杆悬臂12、上连接板61、固定板63及质量单元3弹簧组件2和所述阻尼器5构成的整体结构堆叠于所述下连接板62和所述钢箱梁底板9上,从而形成堆放式TMD;所述上连接板61可以与钢箱梁的顶部固定连接,同时,所述下连接板62与固定板63固定连接,由于所述弹簧组件2、所述阻尼器5以及所述下连接板62的自身重力作用使得所述上连接板61与所述弹簧组件2以及所述阻尼器5构成的整体结构的下端固定于下连接板61上,由于弹簧组件的自然特性,使整个TMD处于悬吊状态,从而形成悬吊式TMD;堆放式TMD一般采用压缩弹簧方式完成减振过程,悬吊式TMD一般采用拉伸弹簧方式完成减振过程。常规的TMD弹簧和质量块一体设计,运动轨迹基本一致,本发明区别于常规TMD设计,将弹簧组件与质量块分开安装,分别构成杠杆的不同组成单元,彼此运动轨迹分离甚至相反,可见安装方式多样,具有高度灵活性;Optionally, according to different installation forms required, the upper connecting
进一步地,所述质量单元3的两侧与所述杠杆悬臂12通过轴承4连接,使得所述质量单元3保持竖向垂直运动;所述质量单元3与所述杠杆支架11和所述杠杆悬臂12形成闭合的框架,将所述上连接板61和下连接板62以及其之间安装的所述弹簧组件2和所述阻尼器5所形成的整体结构围在内部,可以将所述上连接板61、所述弹簧组件2、所述阻尼器5和所述下连接板62构成的减振结构的动态范围限制在了一定范围,从而降低整个TMD的高度尺寸,节省了安装空间。Further, both sides of the
进一步地,所述质量单元3包括由n块钢板组成的质量块31和质量块31内部彼此之间起固定连接作用的螺杆32;钢板质量易测,螺杆调节方便,这样既可使TMD的设计参数更加精确,又可通过调节钢板间螺杆和螺母,轻松方便的增加或者删减所述质量单元3的重量,从而简单方便的实现TMD的频率调节;通过调节质量单元3,使TMD频率与主结构频率一致,在主结构受外力振动时,TMD产生相反的惯性力作用在主结构上这样一方面可有效控制TMD的振幅,减轻TMD运动过程中碰撞、冲程超限引起的控制不稳定性,从而提高TMD在低频竖向振动控制上的性能,可以避免因弹簧较大静变形而引起的性能退化问题;Further, the
如图5所示,本发明实施例的低频杠杆式调谐质量阻尼器具体工作原理如下:采用杠杆原理,所述杠杆支架11作为支点;所述上连接板61、所述弹簧组件2、所述下连接板62以及所述阻尼器5共同构成的整体结构作为阻力结构;所述质量单元3作为动力结构;在自然状态下,所述质量单元3由于自身重力作用有一个自然向下的重力作用,同时杠杆会给其一个与其重力作用相抗的支反力,进而维持杠杆的平衡;当被控制结构发生振动时,引发所述质量单元3发生竖向直线运动,此时所述质量单元3的运动会通过所述杠杆悬臂12传递到所述上连接板61、所述弹簧组件2以及所述阻尼器5共同构成的阻力结构,使其产生与所述质量单元3方向相反的运动模式,进而完成减振过程。As shown in FIG. 5 , the specific working principle of the low-frequency lever-type tuned mass damper of the embodiment of the present invention is as follows: using the lever principle, the
根据常规的TMD设计输入参数:自振频率f=0.2HZ,质量块m=2t,行程±500mm,阻尼比0.1。此时,根据弹簧总刚度k=m·ω2=m·(2πf)2=3.22N/mm可知:弹簧静态压缩位移s=mg/k=20000/3.22=6211mm,由于弹簧刚度较小导致弹簧压缩位移达到6.2m,再考虑到弹簧动态行程±500mm以及弹簧自身极限压缩高度,所以弹簧的长度会非常长且稳定性很差。同等条件下,就算是黏滞阻尼器的设计长度也会达到2.5m以上,因此安装空间受限,可见,常规设计很难满足该TMD参数。综上,为了增加弹簧总刚度以及减小弹簧和阻尼器动态行程,考虑如下杠杆式TMD,其工作原理如图5-图6所示:According to the conventional TMD design input parameters: natural frequency f=0.2HZ, mass m=2t, stroke ±500mm, damping ratio 0.1. At this time, according to the total spring stiffness k=m·ω 2 =m·(2πf) 2 =3.22N/mm, it can be known that the spring static compression displacement s=mg/k=20000/3.22=6211mm, due to the small spring stiffness, the spring The compression displacement reaches 6.2m, and considering the dynamic stroke of the spring ±500mm and the ultimate compression height of the spring itself, the length of the spring will be very long and the stability will be poor. Under the same conditions, even the design length of the viscous damper will reach more than 2.5m, so the installation space is limited. It can be seen that it is difficult for the conventional design to meet the TMD parameters. In summary, in order to increase the total stiffness of the spring and reduce the dynamic stroke of the spring and damper, consider the following lever-type TMD, and its working principle is shown in Figure 5-Figure 6:
如图6所示,以质量块为研究对象,假设忽略运动过程中的阻尼,忽略杠杆和弹簧的质量,质量块在运动过程承受自身重力mg,会形成惯性力以及杠杆对其产生的支反力F,因此质量块的动力平衡方程为:As shown in Figure 6, taking the mass block as the research object, it is assumed that the damping during the motion process is ignored, and the mass of the lever and spring is ignored. The mass block bears its own gravity mg during the motion process, which will form an inertial force And the support reaction force F generated by the lever, so the dynamic balance equation of the mass block is:
再根据杠杆原理:Then according to the principle of leverage:
F·L=k·x1·L1 (2)F·L=k·x1·L1 (2)
带入方程(1)可得:Bring it into equation (1) to get:
取n=L/L1为杠杆放大系数,则方程(4)可写为 Taking n=L/L 1 as the leverage magnification factor, then equation (4) can be written as
可见,采用杠杆式TMD后,若结构频率f和质量m不变,则弹簧刚度应放大n2倍。弹簧和阻尼器的行程可缩短为质量块行程的1/n倍。It can be seen that after the lever-type TMD is adopted, if the structural frequency f and mass m remain unchanged, the spring stiffness should be amplified by n2 times. The stroke of the spring and damper can be shortened to 1/n times the stroke of the mass.
常规的低频TMD由于其自振周期较长,弹簧刚度较小,竖向载荷较大,弹簧的设计选型会非常困难。低刚度的弹簧也会由于其长度较长,静载压缩位移过大,动态行程较大等导致其加工和安装困难,本发明采用杠杆原理,根据以上的分析可知,若结构频率f和质量m不变,则弹簧刚度应放大n2倍,弹簧和阻尼器的行程可缩短为质量块行程的1/n倍,此种设计可使弹簧在同等受力条件下不易产生形变,不至于因过度拉伸而性能退化,在提高所述弹簧21整体刚度,同时弹簧和阻尼器的行程缩短,与常规设计相比,还能降低整个TMD的高度尺寸,节省安装空间。另外,通过调节质量块,使TMD频率与主结构频率一致,在主结构受外力振动时,TMD产生相反的惯性力作用在主结构上这样一方面可有效控制TMD的振幅,减小振动幅度,进而减轻TMD运动过程中碰撞、冲程超限引起的控制不稳定性,避免TMD发生冲程破坏,保证TMD的控制稳定性,进而保护主结构不受损坏。最后,所述固定板63可选择性的与所述上连接板61固定或者与下连接板62固定,实现堆叠式TMD和悬吊式TMD的自由选择,安装方式多样;所述质量块31由n块钢板组成,且钢板间通过螺杆32连接固定,质量明确且方便调节,这样使得TMD的设计参数更加精确。本发明具有结构合理紧凑、加工方便、性能稳定、减振效果优等特点,不仅克服了现有TMD的缺陷,而且改善了减振效果。The conventional low-frequency TMD has a long natural vibration period, small spring stiffness, and large vertical load, so the design and selection of the spring will be very difficult. Springs with low stiffness will also be difficult to process and install due to their long length, excessive static load compression displacement, and large dynamic stroke. The present invention adopts the lever principle. According to the above analysis, if the structural frequency f and mass m are If it remains unchanged, the spring stiffness should be enlarged by n2 times, and the stroke of the spring and damper can be shortened to 1/n times the stroke of the mass block. This design can make the spring not easily deformed under the same stress conditions, and will not be excessively stretched. The overall stiffness of the
本领域的技术人员容易理解,以上所述仅为本发明的较佳实施例而已,并不用于限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。Those skilled in the art can easily understand that the above are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention, etc., All should be included within the protection scope of the present invention.
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