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CN102975203A - High-speed five-degree of freedom parallel manipulator - Google Patents

High-speed five-degree of freedom parallel manipulator Download PDF

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CN102975203A
CN102975203A CN2012105148222A CN201210514822A CN102975203A CN 102975203 A CN102975203 A CN 102975203A CN 2012105148222 A CN2012105148222 A CN 2012105148222A CN 201210514822 A CN201210514822 A CN 201210514822A CN 102975203 A CN102975203 A CN 102975203A
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gear
freedom
bevel gear
degree
moving platform
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王攀峰
赵学满
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Tianjin University
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Tianjin University
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Abstract

本发明公开了一种高速五自由度并联机械手,包括固定架、动平台、两自由度手腕以及布置在固定架与动平台之间的五条结构相同的支链,五条结构相同的支链带动动平台产生三维平动运动;动平台包括一个中心板、两组分角齿轮组、四个连杆和一个固定连杆;固定连杆和上述四个连杆在中心板上呈径向均布,固定连杆的一端与中心板固接,四个连杆的一端分别与两组分角齿轮组中的分角锥齿轮的转动轴固接,通过两组分角齿轮组与中心锥齿轮的啮合作用,将运动传递给两自由度手腕,从而产生两自由度可控转动。本发明结构对称,受力均匀,运动部件质量小,动态性能较好,可实现高速运动,满足复杂抓放操作的要求。

The invention discloses a high-speed five-degree-of-freedom parallel manipulator, which includes a fixed frame, a moving platform, a two-degree-of-freedom wrist, and five branch chains with the same structure arranged between the fixed frame and the moving platform. The platform produces three-dimensional translational motion; the moving platform includes a central plate, two sets of angular gear sets, four connecting rods and a fixed connecting rod; the fixed connecting rods and the above four connecting rods are radially evenly distributed on the central plate, One end of the fixed connecting rod is fixedly connected to the center plate, and one end of the four connecting rods is fixedly connected to the rotating shaft of the split-angle bevel gear in the two-component angular gear set, and the meshing between the two-component angular gear set and the central bevel gear The function transmits the motion to the two-degree-of-freedom wrist, thereby generating two-degree-of-freedom controllable rotation. The invention has symmetrical structure, uniform force, small mass of moving parts, good dynamic performance, can realize high-speed movement, and satisfies the requirements of complicated pick-and-place operations.

Description

一种高速五自由度并联机械手A high-speed five-degree-of-freedom parallel manipulator

技术领域technical field

本发明涉及一种机器人,特别是涉及一种机器人的具有空间五自由度的高速并联机构。The invention relates to a robot, in particular to a high-speed parallel mechanism with five degrees of freedom in space.

背景技术Background technique

目前国内对空间五自由度并联机构的研究尚集中于机械加工、喷涂、测量等领域的机构,而对于应用于物料抓放的可实现高速运动的空间五自由度并联机构研究尚缺。At present, domestic research on spatial five-degree-of-freedom parallel mechanisms is still focused on mechanisms in the fields of machining, spraying, and measurement. However, research on spatial five-degree-of-freedom parallel mechanisms that can achieve high-speed movement for materials is still lacking.

发明内容Contents of the invention

针对上述现有技术,本发明提供一种高速五自由度并联机械手,本发明中的机构结构对称,受力均匀,运动部件质量小,动态性能较好,可实现高速运动,满足复杂抓放操作的要求。In view of the above-mentioned prior art, the present invention provides a high-speed five-degree-of-freedom parallel manipulator. The structure of the mechanism in the present invention is symmetrical, the force is uniform, the mass of the moving parts is small, and the dynamic performance is good. It can realize high-speed movement and meet complex pick-and-place operations. requirements.

为了解决上述技术问题,本发明一种五自由度并联机械手予以实现的技术方案是:包括固定架、动平台、两自由度手腕以及布置在所述固定架与动平台之间的五条结构相同的支链;所述固定架上固接有五个驱动装置;所述每条支链包括近架杆、两个平行且等长的远架杆、一个上连接轴和一个下连接轴;每条支链中,所述近架杆的一端与固定于所述固定架上的一驱动装置的输出端固定连接,该驱动装置为近架杆提供一个转动或移动自由度;所述近架杆的另一端与所述上连接轴固连;所述两个平行的远架杆的一端分别与所述上连接轴球铰接,所述两个平行的远架杆的另一端分别与所述下连接轴球铰接;每条支链中的所述下连接轴、所述上连接轴和所述两个平行布置且等长的远架杆构成一平行四边形结构;所述动平台包括一个中心板、两组分角齿轮组和四个连杆;每组分角齿轮组包含一个中心锥齿轮和两个分角锥齿轮;所述中心锥齿轮与所述中心板转动连接,所述中心锥齿轮的轴线和转动轴线重合;所述分角锥齿轮与中心板转动连接,两个分角锥齿轮的轴线与所述中心锥齿轮的轴线垂直交于一点,两分角锥齿轮布置于中心锥齿轮两侧且与中心锥齿轮啮合;所述动平台上还设有一固定连杆,所述固定连杆和上述四个连杆在所述中心板上呈径向均布,所述四个连杆的一端分别与两组分角齿轮组中的分角锥齿轮的转动轴固接,所述固定连杆的一端与所述中心板固接,所述四个连杆和固定连杆的另一端分别与五条结构相同的支链中的五个下连接轴固接;所述两自由度手腕固接于所述中心板上,两自由度手腕周围布置两组齿轮传动机构,每组齿轮传动机构包含相互啮合的一大齿轮和一小齿轮,每组齿轮传动机构中的大齿轮分别与所述动平台中每组分角齿轮组的中心锥齿轮同轴设置,所述小齿轮与两自由度手腕的一输入轴固接,且同轴设置;所述两组齿轮传动机构为所述两自由度手腕提供两个动力输入,实现所述两自由度手腕的二维可控转动;在五个驱动装置的驱动作用下,五条结构相同的支链中的下连接轴运动,进而带动动平台产生三维平动运动,与此同时,四个下连接轴通过分角齿轮组带动所述中心锥齿轮相对中心板转动;从而,动平台既可以有三个方向的平动自由度,同时又具有两个局部转动自由度,利用两自由度手腕周围布置的两组齿轮传动机构将上述两个局部转动自由度转化为两自由度手腕的二维可控转动。In order to solve the above-mentioned technical problems, the technical scheme realized by a five-degree-of-freedom parallel manipulator of the present invention is: comprising a fixed frame, a moving platform, a two-degree-of-freedom wrist, and five arms with the same structure arranged between the fixed frame and the moving platform. branch chain; five driving devices are fixedly connected to the fixed frame; each branch chain includes a near frame rod, two parallel and equal-length far frame rods, an upper connecting shaft and a lower connecting shaft; each In the branch chain, one end of the near-frame rod is fixedly connected to the output end of a driving device fixed on the fixed frame, and the driving device provides a degree of freedom for the near-frame rod to rotate or move; The other end is fixedly connected with the upper connecting shaft; one end of the two parallel remote frame rods is respectively hinged with the upper connecting shaft ball, and the other end of the two parallel remote frame rods is respectively connected with the lower shaft-ball hinge; the lower connecting shaft in each branch chain, the upper connecting shaft and the two parallel arranged and equal-length remote frame rods form a parallelogram structure; the moving platform includes a central plate, Two sets of angular gear sets and four connecting rods; each set of angular gear sets includes a central bevel gear and two sub-angle bevel gears; the central bevel gear is rotatably connected with the central plate, and the central bevel gear The axis coincides with the axis of rotation; the split-angle bevel gear is connected to the center plate in rotation, the axes of the two split-angle bevel gears and the axis of the central bevel gear are perpendicular to one point, and the two-angle split bevel gears are arranged on both sides of the center bevel gear. side and meshed with the central bevel gear; the moving platform is also provided with a fixed connecting rod, the fixed connecting rod and the above four connecting rods are radially evenly distributed on the central plate, and the four connecting rods One end is respectively affixed to the rotation shafts of the sub-angle bevel gears in the two sets of angular gear sets, one end of the fixed connecting rod is affixed to the center plate, and the other ends of the four connecting rods and the fixed connecting rod are respectively It is affixed to the five lower connecting shafts in the five branch chains with the same structure; the two-degree-of-freedom wrist is affixed to the center plate, and two sets of gear transmission mechanisms are arranged around the two-degree-of-freedom wrist, and each set of gear transmission mechanisms includes A large gear and a small gear meshed with each other. The large gear in each set of gear transmission mechanism is coaxially arranged with the central bevel gear of each set of angular gear sets in the moving platform. The pinion is connected to the two-degree-of-freedom wrist One of the input shafts is fixedly connected and arranged coaxially; the two sets of gear transmission mechanisms provide two power inputs for the two-degree-of-freedom wrist to realize the two-dimensional controllable rotation of the two-degree-of-freedom wrist; Under the driving action of the device, the lower connecting shafts in the five branch chains with the same structure move, and then drive the moving platform to generate three-dimensional translational motion. At the same time, the four lower connecting shafts drive the central bevel gear through the angular gear set The center plate rotates; thus, the moving platform can have translational degrees of freedom in three directions and two local rotational degrees of freedom at the same time, and the above two partial rotational degrees of freedom are transferred by two sets of gear transmission mechanisms arranged around the wrist with two degrees of freedom. It is converted into a two-dimensional controllable rotation of the two-degree-of-freedom wrist.

与现有技术相比,本发明的有益效果是:Compared with prior art, the beneficial effect of the present invention is:

本发明具有的优点和积极效果是:在五条支链的驱动作用下,通过动平台设置的两组分角齿轮组的传动作用,使得动平台可实现三维平动运动和两个中心锥齿轮相对于中心板的转动,通过两组齿轮放大机构将中心锥齿轮的转动转化为两自由度手腕的两个动力输入,进而带动两自由度手腕实现二维空间转动。该机构结构对称,受力均匀,运动部件质量小,动态性能较好,可实现高速运动,满足复杂抓放操作的要求。The advantages and positive effects of the present invention are: under the driving action of the five branch chains, through the transmission action of the two sets of angular gear sets arranged on the moving platform, the moving platform can realize three-dimensional translational motion and the relative movement of the two central bevel gears. Based on the rotation of the center plate, the rotation of the central bevel gear is converted into two power inputs of the two-degree-of-freedom wrist through two sets of gear amplification mechanisms, and then drives the two-degree-of-freedom wrist to realize two-dimensional space rotation. The structure of the mechanism is symmetrical, the force is uniform, the mass of the moving parts is small, and the dynamic performance is good. It can realize high-speed movement and meet the requirements of complex pick-and-place operations.

附图说明Description of drawings

图1为本发明五自由度并联机械手的整体结构示意图;1 is a schematic diagram of the overall structure of a five-degree-of-freedom parallel manipulator of the present invention;

图2为本发明中动平台的结构示意图;Fig. 2 is the structural schematic diagram of the middle moving platform of the present invention;

图3为本发明中两自由度手腕和动平台的结构示意图。Fig. 3 is a structural schematic diagram of a two-degree-of-freedom wrist and a moving platform in the present invention.

图中:In the picture:

1-驱动装置        2-固定架              3-近架杆1-Drive device 2-Fixed frame 3-Near frame rod

4-上连接轴        5a、5b-远架杆         6-下连接轴4-upper connecting shaft 5a, 5b-far frame rod 6-lower connecting shaft

7-动平台          8-中心板              9a~9d-连杆7-moving platform 8-center plate 9a~9d-connecting rod

9e-固定连杆       10aa~10bb-中心锥齿轮  10a~10b-分角锥齿轮9e-fixed connecting rod 10aa~10bb-central bevel gear 10a~10b-fractional bevel gear

11a、11c-大齿轮   11b、11d-小齿轮       12-两自由度手腕11a, 11c- large gear 11b, 11d- small gear 12- two degrees of freedom wrist

具体实施方式Detailed ways

下面结合具体实施方式对本发明作进一步详细地描述。The present invention will be further described in detail below in combination with specific embodiments.

如图1所示,本发明一种五自由度并联机械手,包括固定架2、动平台7、两自由度手腕12以及布置在所述固定架2与动平台7之间的五条结构相同的支链。As shown in Figure 1, a five-degree-of-freedom parallel manipulator of the present invention includes a fixed frame 2, a moving platform 7, a two-degree-of-freedom wrist 12, and five supports with the same structure arranged between the fixed frame 2 and the moving platform 7. chain.

所述固定架2上固接有五个驱动装置1;所述每条支链包括近架杆3、一个上连接轴4两个平行且等长的远架杆5a、5b和一个下连接轴6。Five driving devices 1 are affixed to the fixed frame 2; each branch chain includes a near-frame rod 3, an upper connecting shaft 4, two parallel and equal-length far-mounting rods 5a, 5b and a lower connecting shaft 6.

每条支链中,所述近架杆3的一端与固定于所述固定架2上的一驱动装置1的输出端固定连接,该驱动装置1为近架杆3提供一个转动或移动自由度;所述近架杆3的另一端与所述上连接轴4固连;所述两个平行的远架杆5a、5b的一端分别与所述上连接轴4球铰接,所述两个平行的远架杆5a、5b的另一端分别与所述下连接轴6球铰接;每条支链中的所述下连接轴6、所述上连接轴4和所述两个平行布置且等长的远架杆5a和5b构成一平行四边形结构。In each branch chain, one end of the near frame bar 3 is fixedly connected to the output end of a drive device 1 fixed on the fixed frame 2, and the drive device 1 provides a degree of freedom for the near frame bar 3 to rotate or move The other end of the near frame rod 3 is fixedly connected with the upper connecting shaft 4; one end of the two parallel far frame rods 5a, 5b is respectively ball-hinged with the upper connecting shaft 4, and the two parallel The other ends of the far frame rods 5a, 5b are respectively ball-hinged with the lower connecting shaft 6; the lower connecting shaft 6, the upper connecting shaft 4 and the two parallel arrangements and equal lengths in each branch chain The far frame rods 5a and 5b form a parallelogram structure.

如图2所示,所述动平台7包括一个中心板8、两组分角齿轮组和四个连杆9a~9d;每组分角齿轮组包含一个中心锥齿轮10aa(或10bb)和两个分角锥齿轮10a(或10b)。所述中心锥齿轮10aa(或10bb)与所述中心板8转动连接,所述中心锥齿轮10aa(或10bb)的轴线和其转动轴线重合;所述分角锥齿轮10a(或10b)与中心板8转动连接,两个分角锥齿轮10a(或10b)的轴线与所述中心锥齿轮的轴线垂直交于一点,两分角锥齿轮10a(或10b)布置于中心锥齿轮10aa(或10bb)两侧且与中心锥齿轮10aa(或10bb)啮合。As shown in Figure 2, the moving platform 7 includes a central plate 8, two sets of angular gear sets and four connecting rods 9a~9d; each set of angular gear sets includes a central bevel gear 10aa (or 10bb) and two A sub-angle bevel gear 10a (or 10b). The central bevel gear 10aa (or 10bb) is rotationally connected with the central plate 8, and the axis of the central bevel gear 10aa (or 10bb) coincides with its axis of rotation; The plate 8 is connected in rotation, the axes of the two angle-dividing bevel gears 10a (or 10b) are perpendicular to the axis of the central bevel gear at one point, and the two angle-dividing bevel gears 10a (or 10b) are arranged on the central bevel gear 10aa (or 10bb ) on both sides and meshes with the central bevel gear 10aa (or 10bb).

所述动平台7上还设有一固定连杆,所述固定连杆9e和上述四个连杆在所述中心板8上呈径向均布,所述四个连杆的一端分别与两组分角齿轮组中的分角锥齿轮的转动轴固接,所述固定连杆的一端与所述中心板8固接,所述四个连杆和固定连杆9a~9d的另一端分别与五条结构相同的支链中的五个下连接轴6固接。The moving platform 7 is also provided with a fixed connecting rod, the fixed connecting rod 9e and the above-mentioned four connecting rods are radially evenly distributed on the central plate 8, and one end of the four connecting rods is connected with two groups of connecting rods respectively. The rotating shafts of the angle-dividing bevel gears in the angle-dividing gear set are affixed, one end of the fixed connecting rod is affixed to the center plate 8, and the other ends of the four connecting rods and the fixed connecting rods 9a to 9d are respectively connected to The five lower connecting shafts 6 in the five branch chains with the same structure are fixedly connected.

如图3所示,所述两自由度手腕12固接于所述中心板8上,两自由度手腕12周围布置两组齿轮传动机构11a和11b,每组齿轮传动机构11a(或11b)包含相互啮合的一大齿轮11a(或11c)和一小齿轮11b(或11d),每组齿轮传动机构11a(或11b)中的大齿轮11a(或11c)分别与所述动平台7中每组分角齿轮组的中心锥齿轮10aa(或10bb)同轴设置,所述小齿轮11b(或11d)与两自由度手腕12的一输入轴固接,且同轴设置;本发明中,每组齿轮放大机构中大齿轮与小齿轮相啮合,所述齿轮传动机构将中心锥齿轮10aa和10bb相对于中心板8的相对转动转化为所述两自由度手腕12的动力输入,从而实现所述两自由度手腕12的二维可控转动。As shown in Figure 3, the two-degree-of-freedom wrist 12 is fixed on the central plate 8, two sets of gear transmission mechanisms 11a and 11b are arranged around the two-degree-of-freedom wrist 12, and each set of gear transmission mechanisms 11a (or 11b) includes A large gear 11a (or 11c) and a small gear 11b (or 11d) meshing with each other, the large gear 11a (or 11c) in each set of gear transmission mechanism 11a (or 11b) is respectively connected with each set of the moving platform 7 The central bevel gear 10aa (or 10bb) of the split-angle gear set is coaxially arranged, and the pinion 11b (or 11d) is fixedly connected to an input shaft of the two-degree-of-freedom wrist 12, and is coaxially arranged; in the present invention, each group In the gear amplification mechanism, the large gear and the pinion are meshed, and the gear transmission mechanism converts the relative rotation of the central bevel gears 10aa and 10bb relative to the central plate 8 into the power input of the two-degree-of-freedom wrist 12, thereby realizing the two-degree-of-freedom. Two-dimensional controllable rotation of the wrist 12 with degrees of freedom.

上述五自由度并联机械手的传动过程是,在五个驱动装置1的驱动作用下,五条结构相同的支链中的下连接轴6运动,也即,所述驱动装置1为与其固接的近架杆3提供一个转动或移动自由度,通过所属支链的两平行等长远架杆5a、5b带动所述支链的下连接轴6产生平动,进而带动动平台7产生三维平动运动;与此同时,四个下连接轴通过分角齿轮组带动所述中心锥齿轮相对中心板转动;从而使动平台7既可以有三个方向的平动自由度,同时又具有两个局部转动自由度,利用两自由度手腕周围布置的两组齿轮传动机构的放大作用将上述两个局部转动自由度转化为两自由度手腕(末端执行器)的二维可控转动。The transmission process of the above-mentioned five-degree-of-freedom parallel manipulator is that, under the driving action of the five driving devices 1, the lower connecting shaft 6 in the five branch chains with the same structure moves, that is, the driving device 1 is a close connection with it. The frame rod 3 provides a degree of freedom of rotation or movement, and the lower connecting shaft 6 of the branch chain is driven by the two parallel and long-term frame rods 5a, 5b of the branch chain to generate translational motion, and then the moving platform 7 is driven to generate a three-dimensional translational motion; At the same time, the four lower connecting shafts drive the central bevel gear to rotate relative to the central plate through the angle-dividing gear set; thus, the moving platform 7 can not only have translation degrees of freedom in three directions, but also have two partial rotation degrees of freedom , using the amplification effect of the two sets of gear transmission mechanisms arranged around the two-degree-of-freedom wrist to transform the above-mentioned two partial rotational degrees of freedom into two-dimensional controllable rotation of the two-degree-of-freedom wrist (end effector).

本发明与现有技术相比,其不同点在于:Compared with the prior art, the present invention differs in that:

动平台由中心板和两组分角齿轮组及一固定连杆构成,其中,与两组分角齿轮组连接的下连接轴的相对运动可通过分角齿轮组转化为中心锥齿轮相对于中心板的转动,由于固定连杆固接于中心板,从而使动平台既可以有三个方向的平动自由度,同时又具有两个局部转动自由度。进而利用齿轮传动机构的放大作用将这两个局部转动自由度转化为两自由度手腕的可控运动。The moving platform is composed of a center plate, two sets of angular gear sets and a fixed connecting rod, wherein the relative movement of the lower connecting shaft connected to the two sets of angular gear sets can be converted into a central bevel gear relative to the center through the split angle gear set. For the rotation of the plate, since the fixed connecting rod is fixedly connected to the center plate, the moving platform can not only have translational degrees of freedom in three directions, but also have two partial rotational degrees of freedom. Furthermore, the amplification effect of the gear transmission mechanism is used to convert the two partial rotation degrees of freedom into the controllable motion of the wrist with two degrees of freedom.

本发明结构对称,运动灵活,受力均匀,精度较高,使用寿命长,易实现高速运动,且满足复杂抓放操作的要求。The invention has the advantages of symmetrical structure, flexible movement, uniform force, high precision, long service life, easy realization of high-speed movement, and meets the requirements of complex pick-and-place operations.

尽管上面结合图对本发明进行了描述,但是本发明并不局限于上述的具体实施方式,上述的具体实施方式仅仅是示意性的,而不是限制性的,本领域的普通技术人员在本发明的启示下,在不脱离本发明宗旨的情况下,还可以作出很多变形,这些均属于本发明的保护之内。Although the present invention has been described above in conjunction with the drawings, the present invention is not limited to the above-mentioned specific embodiments, and the above-mentioned specific embodiments are only illustrative rather than restrictive. Under the inspiration, many modifications can be made without departing from the gist of the present invention, and these all belong to the protection of the present invention.

Claims (1)

1. high speed parallel manipulator with five freedom degrees comprises fixed mount (2), moving platform (7), two-freedom wrist (12) and is arranged in five side chains that structure is identical between described fixed mount (2) and the moving platform (7);
Be connected with five drive units (1) on the described fixed mount (2); Described every side chain comprises nearly hack lever (3), two parallel and isometric hack levers far away, upper connecting axle (4) and a lower connecting axle (6);
In every side chain, an end of described nearly hack lever (3) is fixedly connected with the output of a drive unit (1) on being fixed in described fixed mount (2), and this drive unit (1) provides one to rotate or one-movement-freedom-degree for nearly hack lever (3); The other end of described nearly hack lever (3) and described upper connecting axle (4) are connected; One end of described two parallel hack levers far away respectively with described upper connecting axle (4) ball-joint, the other end of described two parallel hack levers far away respectively with described lower connecting axle (6) ball-joint; Described lower connecting axle in every side chain, described upper connecting axle and described two are arranged in parallel and isometric hack lever far away consists of a parallelogram sturcutre;
It is characterized in that:
Described moving platform (7) comprises a central plate (8), two component angle gear trains and four connecting rods; Every component angle gear train comprises a center bevel gear and two subangle bevel gears; Described center bevel gear and described central plate (8) are rotationally connected, and the axis of described center bevel gear and pivot center overlap; Described subangle bevel gear and central plate (8) are rotationally connected, and the axis of two subangle bevel gears is vertical with the axis of described center bevel gear to be met at a bit, and two subangle bevel gear arrangements mesh in the center bevel gear both sides and with center bevel gear;
Described moving platform also is provided with a stationary links on (7), described stationary links and above-mentioned four connecting rods are radial equipartition at described central plate (8), one end of described four connecting rods respectively with two component angle gear trains in the turning cylinder of subangle bevel gear affixed, one end of described stationary links and described central plate (8) are affixed, and the other end of described four connecting rods and stationary links respectively five lower connecting axles in the side chain identical with five structures is affixed;
Described two-freedom wrist (12) is fixed on the described central plate (8), two groups of gear drives of two-freedom wrist (12) arranged around, every group of gear drive comprises an intermeshing gear wheel and a pinion, gear wheel in every group of gear drive respectively with described moving platform (7) in the coaxial setting of center bevel gear of every component angle gear train, one power shaft of described pinion and two-freedom wrist is affixed, and coaxial setting; Described two groups of gear drives are that described two-freedom wrist (12) provides two power inputs, realize the two-dimentional controllable rotary of described two-freedom wrist (12);
Under the driving effect of five drive units (1), article five, lower connecting axle (6) motion in the side chain that structure is identical, and then drive the motion of moving platform (7) generation three-dimensional translating, meanwhile, four lower connecting axles rotate relative to central plate by the described center bevel gear of subangle gear set drive; Thereby, moving platform both can have the translational degree of freedom of three directions, simultaneously have again two partial rotational frees degree, utilize two groups of gear drives of two-freedom wrist arranged around above-mentioned two partial rotational frees degree to be converted into the two-dimentional controllable rotary of two-freedom wrist.
CN2012105148222A 2012-12-04 2012-12-04 High-speed five-degree of freedom parallel manipulator Pending CN102975203A (en)

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