CN113829328B - A Flexible Manipulator with Positive Angle Compensation - Google Patents
A Flexible Manipulator with Positive Angle Compensation Download PDFInfo
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Programme-controlled manipulators
- B25J9/0009—Constructional details, e.g. manipulator supports, bases
- B25J9/0015—Flexure members, i.e. parts of manipulators having a narrowed section allowing articulation by flexion
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J18/00—Arms
- B25J18/06—Arms flexible
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Programme-controlled manipulators
- B25J9/08—Programme-controlled manipulators characterised by modular constructions
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Programme-controlled manipulators
- B25J9/10—Programme-controlled manipulators characterised by positioning means for manipulator elements
- B25J9/104—Programme-controlled manipulators characterised by positioning means for manipulator elements with cables, chains or ribbons
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract
Description
技术领域technical field
本发明涉及柔性机械臂的设计技术领域,特别是涉及一种正向角度补偿的柔性机械臂。The invention relates to the technical field of design of flexible mechanical arms, in particular to a flexible mechanical arm with forward angle compensation.
背景技术Background technique
折纸机器人是一种通过折纸技术研究制备的一种机器人,折纸机器人的灵感来源于日本的折纸技术,最初,科学家们通过研究通过折纸的方式,改变纸张形状的同时,又利用纸张的柔性和韧性,完成目标动作和指定任务,随后,越来越多的科学家都投入到了折纸机器人这一领域当中,但是,由于折纸机构的刚度较小,很难承受比较大的力和力矩。因此,折纸机器人很难实际应用。同时,折纸机器人的运动学模型,动力学模型都极其复杂,也由于折纸机器人的精度有限,因此,机器人的精确控制也难以得到保证。The origami robot is a kind of robot prepared through origami technology research. The origami robot is inspired by the Japanese origami technology. Initially, scientists changed the shape of the paper by studying the way of origami, while using the flexibility and toughness of the paper. , complete target actions and specified tasks, and more and more scientists have devoted themselves to the field of origami robots. However, due to the low stiffness of the origami mechanism, it is difficult to withstand relatively large forces and moments. Therefore, origami robots are difficult for practical application. At the same time, the kinematics model and dynamics model of the origami robot are extremely complex, and because the precision of the origami robot is limited, it is difficult to guarantee the precise control of the robot.
比如,公开号为CN110394795A的发明申请公开了一种基于折纸理论的高收纳率自折叠气动软体机械臂,包括软体驱动器、上下端盖板及充气系统,所述的软体驱动器为类圆柱壳,两端与上下端盖板密封固定,内腔可充气,壳体为多层软体层合结构,由内向外依次是气密层、弹性层、限制层和热防护层。所述的软体驱动器壳体基于折纸理论设计拓扑形式,可实现轴向的大行程伸缩驱动,通过充气系统向内腔充气的方式驱动展开,通过内腔排气后弹性层弹性势能释放的方式实现自折叠。该装置还可包括约束索实现弯曲驱动。For example, the invention application with publication number CN110394795A discloses a self-folding pneumatic soft manipulator with high storage rate based on origami theory, including a soft driver, upper and lower end cover plates and an inflation system. The soft driver is a cylindrical shell with two The end and the upper and lower end cover plates are sealed and fixed, the inner cavity can be inflated, and the shell is a multi-layer soft laminated structure, which is an airtight layer, an elastic layer, a restrictive layer and a thermal protection layer from the inside to the outside. The topological form of the software driver shell is designed based on the origami theory, which can realize the axial large-stroke telescopic drive, and the inner cavity is inflated through the inflation system to drive and unfold, and the elastic potential energy of the elastic layer is released after the inner cavity is exhausted. Self-folding. The device may also include restraint cables to enable bending actuation.
再比如,公开号为CN112223259A的发明申请公开了一种基于折纸理论的高收纳率仿生气动软体蠕虫机器人,包括柔性驱动器、前后端盖板、气动足及充气系统。所述的柔性驱动器两端分别与前后端盖板粘接,通过充气系统向柔性驱动器充气的方式实现伸展,驱动前排气动足向前运动;通过抽气系统从柔性驱动器抽气的方式实现收缩,驱动后排气动足向前运动,从而实现轴向的大行程仿生爬行。所述的气动足通过气囊伸缩,调整合页连接件与地面的夹角,从而改变与地面的摩擦形式来实现单向运动。For another example, the invention application with publication number CN112223259A discloses a high-capacity aerodynamic soft worm robot based on origami theory, including flexible drives, front and rear end cover plates, pneumatic feet and an inflation system. The two ends of the flexible driver are respectively bonded to the front and rear end cover plates, and the flexible driver is stretched by inflating the flexible driver through the inflation system, driving the front exhaust dynamic foot to move forward; Shrink, drive the rear exhaust dynamic foot to move forward, so as to realize the axial large-stroke bionic crawling. The pneumatic foot adjusts the angle between the hinge joint and the ground through the expansion and contraction of the air bag, thereby changing the friction form with the ground to realize unidirectional movement.
上述现有技术中,折纸结构均是通过气动控制,只能进行简单的伸长和缩短,无法主动控制运动方向;并且折纸结构的设计长度是固定的,无法根据需要进行调整。In the above-mentioned prior art, the origami structure is controlled by pneumatics, which can only be simply extended and shortened, and cannot actively control the direction of motion; and the design length of the origami structure is fixed and cannot be adjusted according to needs.
发明内容Contents of the invention
本发明针对现有技术中存在的上述不足,提供了一种基于折纸理论的正向角度补偿的柔性机械臂。Aiming at the above-mentioned deficiencies in the prior art, the present invention provides a flexible mechanical arm with forward angle compensation based on origami theory.
一种正向角度补偿的柔性机械臂,包括若干节线性叠放的柔性单元,以及用于驱动各柔性单元伸缩的驱动机构;A flexible mechanical arm with positive angle compensation, including several linearly stacked flexible units, and a drive mechanism for driving each flexible unit to expand and contract;
每节柔性单元包括多个成环形排列的伸缩模块,每个伸缩模块包括四块等腰梯形片,四块等腰梯形片侧面依次铰接形成四棱锥台结构的伸缩模块,每节柔性单元的多个伸缩模块环形排列时,四棱锥台结构的顶面朝向环形的内侧中心,四棱锥台结构的底面背离环形的内侧中心;Each flexible unit includes a plurality of telescopic modules arranged in a ring, each telescopic module includes four isosceles trapezoidal pieces, and the sides of the four isosceles trapezoidal pieces are hinged in turn to form a telescopic module with a quadrangular pyramid structure. When the two telescopic modules are arranged in a ring, the top surface of the truncated pyramid structure faces the inner center of the ring, and the bottom surface of the truncated pyramid structure deviates from the inner center of the ring;
各节柔性单元中伸缩模块使用的等腰梯形片均为相同大小和形状,每节柔性单元中相邻伸缩模块之间通过相互贴靠的两块等腰梯形片的上底侧铰接;将等腰梯形片的高表示为h,上底为a,下底为b,每节柔性单元包括n个伸缩模块,则满足:The isosceles trapezoidal sheets used in the telescopic modules in each flexible unit are all of the same size and shape, and the adjacent telescopic modules in each flexible unit are hinged by the upper bottom sides of the two isosceles trapezoidal sheets that are attached to each other; The height of the waist trapezoidal sheet is expressed as h, the upper base is a, and the lower base is b, and each flexible unit includes n telescopic modules, then it satisfies:
所述驱动机构包括:依次穿过各节柔性单元中的至少部分等腰梯形片、用于牵动柔性单元的至少一侧折叠缩短的牵引绳,以及位于最尾端的一节柔性单元的外侧、用于收放牵引绳的收放单元。The driving mechanism includes: sequentially passing through at least part of the isosceles trapezoidal sheet in each section of the flexible unit, a traction rope that is folded and shortened on at least one side for pulling the flexible unit, and the outer side of the flexible unit at the end, The retractable unit for retracting the traction rope.
正向角度补偿方式提供给柔性机械臂正向的角度补偿,当柔性机械臂处于最小压缩状态时,伸缩模块投影到水平面的角度最小,当柔性机械臂处于最大拉伸状态时,伸缩模块投影到水平面的角度最大,柔性机械臂在从最大拉伸状态向最小压缩状态转移的过程中,角度补偿逐渐增大,提供角度补偿。为了满足最大拉伸和最小补偿的需求,在柔性机械臂处于最大拉伸状态时,设定角度补偿为0,此时,各个伸缩模块之间紧密贴合,按照此时状态确定等腰梯形片尺寸关系。在将等腰梯形片的形状满足上述公式的情况下,可以做到将柔性单元拉伸到最大长度,如果偏离这个公式的关系,则柔性单元折叠拉伸时,无法做到拉伸到最大长度。The positive angle compensation method provides positive angle compensation for the flexible manipulator. When the flexible manipulator is in the minimum compression state, the angle projected by the telescopic module to the horizontal plane is the smallest. When the flexible manipulator is in the maximum stretch state, the telescopic module projects to the horizontal plane. The angle of the horizontal plane is the largest, and the angle compensation gradually increases during the transition of the flexible manipulator from the maximum tension state to the minimum compression state, providing angle compensation. In order to meet the requirements of maximum stretching and minimum compensation, when the flexible manipulator is in the state of maximum stretching, the angle compensation is set to 0. At this time, each telescopic module is closely attached to each other, and the isosceles trapezoidal piece is determined according to the state at this time. size relationship. When the shape of the isosceles trapezoidal sheet satisfies the above formula, the flexible unit can be stretched to the maximum length. If the relationship deviates from this formula, the flexible unit cannot be stretched to the maximum length when it is folded and stretched. .
优选的,每节柔性单元包括至少3个伸缩模块。更优选的,每节柔性单元包括3个、4个、6个或8个伸缩模块。Preferably, each flexible unit includes at least 3 telescopic modules. More preferably, each flexible unit includes 3, 4, 6 or 8 telescopic modules.
优选的,位于最尾端的一节柔性单元的外侧设有一块安装板,安装板背离柔性单元的一侧设有所述收放单元,每条牵引绳对应设有一组收放单元,所述收放单元包括收线盘,以及驱动收线盘转动的电机,所述安装板上设有供牵引绳穿过的避让孔。Preferably, a mounting plate is provided on the outer side of a section of the flexible unit at the end, and the retractable unit is provided on the side of the mounting plate away from the flexible unit, and each traction rope is correspondingly provided with a group of retractable units. The release unit includes a wire take-up reel, and a motor that drives the wire take-up reel to rotate, and the mounting plate is provided with an avoidance hole for the traction rope to pass through.
优选的,将所有柔性单元的所有伸缩模块进行分组,相邻柔性单元之间排列在同一直线上的各伸缩模块分为一组,并由一条牵引绳控制。Preferably, all the telescopic modules of all the flexible units are grouped, and the telescopic modules arranged on the same straight line between adjacent flexible units are grouped and controlled by a traction rope.
优选的,每节柔性单元包括偶数个伸缩模块,Preferably, each flexible unit includes an even number of telescopic modules,
将所有柔性单元的所有伸缩模块进行分组,同一柔性单元的各伸缩模块两两分为一个小组,Group all the telescopic modules of all flexible units, and divide the telescopic modules of the same flexible unit into a group.
相邻柔性单元之间排列在同一直线上的各小组分为一大组,并由一条牵引绳控制。Each group arranged on the same straight line between adjacent flexible units is divided into a large group, and is controlled by a traction rope.
本发明柔性机械臂通过牵引绳的牵引来使伸缩模块中的各等腰梯形片折叠,而在折叠后需要牵引绳释放使柔性单元保持拉伸状态,以恢复柔性机械臂的形状,在不设置相应的恢复驱动结构的情况下,可以将所述柔性机械臂竖向使用,依靠重力来恢复。The flexible mechanical arm of the present invention folds each isosceles trapezoidal sheet in the telescopic module through the traction of the traction rope, and after folding, the traction rope needs to be released to keep the flexible unit in a stretched state, so as to restore the shape of the flexible mechanical arm. In the case of a corresponding recovery drive structure, the flexible manipulator can be used vertically to recover by gravity.
优选的,两块等腰梯形片之间成合页结构铰接。更优选的,合页结构内还设有用于使柔性单元保持拉伸状态的扭簧。合页结构包括位于等腰梯形片侧面的铰接孔柱以及穿过铰接孔柱的轴芯,轴芯上可以设置自动恢复的扭簧来实现使柔性单元保持拉伸状态的目的,这样,在牵引绳拉伸的过程中,只要克服扭簧的扭力就可以使柔性单元折叠压缩,而将牵引绳释放后,扭簧又可以提供恢复的动力使柔性机械臂伸长伸直。使用合页结构时,可以将等腰梯形片与相应的铰接孔柱通过3D打印的方式一体成型制备。Preferably, the two isosceles trapezoidal sheets are hinged in a hinge structure. More preferably, a torsion spring for keeping the flexible unit in a stretched state is also provided in the hinge structure. The hinge structure includes a hinged hole column located on the side of the isosceles trapezoidal sheet and a shaft core passing through the hinged hole column. A self-recovering torsion spring can be set on the shaft core to achieve the purpose of keeping the flexible unit in a stretched state. During the stretching process of the rope, as long as the torsion force of the torsion spring is overcome, the flexible unit can be folded and compressed, and after the traction rope is released, the torsion spring can provide recovery power to make the flexible mechanical arm stretch and straighten. When the hinge structure is used, the isosceles trapezoidal piece and the corresponding hinged hole column can be integrally formed by 3D printing.
本发明柔性机械臂通过分节的柔性单元线性叠放,在使用时可以根据实际的需要选择叠放的节数来控制整个柔性机械臂的长度,长度调整设计非常简单;通过将每节柔性单元设计成由多个成环形排列的伸缩模块组成,各伸缩模块之间以及组成每个伸缩模块的四块等腰梯形片之间均铰接,从而可以根据需要设计多条牵引绳,在使用牵引绳控制柔性机械臂缩短时,可以通过控制不同牵引绳之间的工作实现柔性机械臂的不同部位伸缩长度不同,从而使得柔性机械臂可以向不同方向弯曲,而不局限于线性方向的伸缩。The flexible manipulator of the present invention is linearly stacked through segmented flexible units. When in use, the number of stacked segments can be selected according to actual needs to control the length of the entire flexible manipulator. The length adjustment design is very simple; It is designed to be composed of multiple telescopic modules arranged in a ring, and the telescopic modules and the four isosceles trapezoidal pieces that make up each telescopic module are hinged, so that multiple traction ropes can be designed according to the needs. When using the traction rope When controlling the shortening of the flexible manipulator, different stretching lengths of different parts of the flexible manipulator can be achieved by controlling the work between different traction ropes, so that the flexible manipulator can bend in different directions, not limited to linear expansion and contraction.
附图说明Description of drawings
图1为本发明柔性机械臂的侧视结构示意图。Fig. 1 is a side view structural schematic diagram of the flexible robot arm of the present invention.
图2为本发明柔性机械臂未包括牵引绳的立体结构示意图。Fig. 2 is a three-dimensional structural schematic diagram of the flexible robotic arm of the present invention without a traction rope.
图3为本发明柔性机械臂的俯视结构示意图。Fig. 3 is a top structural schematic diagram of the flexible robotic arm of the present invention.
图4为本发明柔性机械臂未包括牵引绳的另一视角的立体结构示意图。Fig. 4 is a perspective view of the flexible robotic arm of the present invention without a traction rope.
图5为柔性单元线性叠放的立体结构示意图。Fig. 5 is a three-dimensional structural schematic diagram of linearly stacked flexible units.
图6为单节柔性单元的立体结构示意图。Fig. 6 is a schematic diagram of a three-dimensional structure of a single flexible unit.
图7为伸缩模块的立体结构示意图。Fig. 7 is a schematic diagram of the three-dimensional structure of the telescopic module.
图8为伸缩模块处于折叠状态的立体结构示意图。Fig. 8 is a schematic perspective view of the telescopic module in a folded state.
图9为本发明柔性机械臂第一种使用状态的结构示意图。Fig. 9 is a schematic structural view of the first use state of the flexible robotic arm of the present invention.
图10为本发明柔性机械臂第二种使用状态的结构示意图。Fig. 10 is a schematic structural diagram of the second use state of the flexible robotic arm of the present invention.
图11为几何关系图。Figure 11 is a geometric diagram.
具体实施方式Detailed ways
如图1~5所示,一种基于折纸理论的正向角度补偿的柔性机械臂,包括若干节线性叠放的柔性单元1,以及用于驱动各柔性单元1伸缩的驱动机构。图中所示的结构中柔性单元1为5节。在使用时可以根据实际的需要选择叠放的节数来控制整个柔性机械臂的长度,长度调整设计非常简单。As shown in Figures 1 to 5, a flexible manipulator with positive angle compensation based on origami theory includes several
如图6~8所示,每节柔性单元1包括多个成环形排列的伸缩模块2,每个伸缩模块2包括四块等腰梯形片3,四块等腰梯形片3侧面依次铰接形成四棱锥台结构的伸缩模块2,每节柔性单元1的多个伸缩模块2环形排列时,四棱锥台结构的顶面朝向环形的内侧中心,四棱锥台结构的底面背离环形的内侧中心。即等腰梯形片3的两腰位置与相邻两块等腰梯形片3的腰之间铰接,四块等腰梯形片3合围一圈。这样的四棱锥台结构由于上底和下底是空的,所以在侧面方向受力挤压后,四棱锥台结构发生变形,横截面从正方形变成菱形,从而在受力方向上的尺寸被压缩变短。As shown in Figures 6 to 8, each
每节柔性单元1中伸缩模块2的数量可以根据实际需要进行选择,数量越少,整个柔性机械臂的控制精度会越粗糙,数量越多,整个柔性机械臂的控制精度会越精细。一般包括至少3个伸缩模块2,比如,每节柔性单元1可以包括3个、4个、6个或8个伸缩模块2。The number of
每节柔性单元1中相邻伸缩模块2之间通过相互贴靠的两块等腰梯形片3的上底侧铰接,。一般来说,各节柔性单元1中伸缩模块2使用的等腰梯形片3均为相同大小和形状,这样生产时较为方便,且控制起来也较为容易。将等腰梯形片3的高表示为h,上底为a,下底为b,每节柔性单元1包括n个伸缩模块,则满足:The adjacent
在将等腰梯形片3的形状满足上述公式的情况下,可以做到将柔性单元1拉伸到最大的厚度,如果偏离这个公式的关系,则柔性单元1拉伸时,无法做到拉伸到最大的厚度。When the shape of the isosceles trapezoidal sheet 3 satisfies the above formula, the
驱动机构包括:依次穿过各节柔性单元1中的至少部分等腰梯形片3、用于牵动柔性单元1的至少一侧折叠缩短的牵引绳6,以及位于最尾端的一节柔性单元1的外侧、用于收放牵引绳6的收放单元。等腰梯形片3上相应设有供牵引绳6穿过的牵引孔11。位于最尾端的一节柔性单元1的外侧设有一块安装板7,安装板7背离柔性单元1的一侧设有收放单元,每条牵引绳6对应设有一组收放单元,收放单元包括收线盘8,以及驱动收线盘8转动的电机9,安装板7上设有供牵引绳6穿过的避让孔10。The driving mechanism includes: sequentially passing through at least part of the isosceles trapezoidal sheet 3 in each section of the
在一种实施方式中,将所有柔性单元1的所有伸缩模块2进行分组,相邻柔性单元1之间排列在同一直线上的各伸缩模块2分为一组,并由一条牵引绳6控制。In one embodiment, all the
在另一种实施方式中,每节柔性单元1包括偶数个伸缩模块2,将所有柔性单元1的所有伸缩模块2进行分组,同一柔性单元1的各伸缩模块2两两分为一个小组,相邻柔性单元1之间排列在同一直线上的各小组分为一大组,并由一条牵引绳6控制。图中所示的结构即为这种实施方式,图中每节柔性单元1包括8个伸缩模块2,共分为4个大组,使用4条牵引绳6来控制。并且,每条牵引绳6依次穿过每个伸缩模块2的四块等腰梯形片3中相邻的两块,当牵引绳6穿过位于同一节柔性单元1的两个伸缩模块2中相互贴靠的那块等腰梯形片3后,一端穿过其中一个伸缩模块2中靠近收放单元一侧的那块等腰梯形片3,另一端穿过另一个伸缩模块2中远离收放单元一侧的那块等腰梯形片3,然后牵引绳再穿过位于相邻两节柔性单元1的两个伸缩模块2中相互贴靠的那块等腰梯形片3,牵引绳6整体呈现折线型。In another embodiment, each
本发明柔性机械臂通过牵引绳6的牵引来使伸缩模块2中的各等腰梯形片3折叠,而在折叠后需要牵引绳6释放使柔性单元1保持拉伸状态,以恢复柔性机械臂的形状,在不设置相应的恢复驱动结构的情况下,可以将柔性机械臂竖向使用,依靠重力来恢复。The flexible mechanical arm of the present invention folds each isosceles trapezoidal sheet 3 in the
在一种优选的实施方式中,如图中所示,两块等腰梯形片3之间成合页结构铰接,合页结构包括位于等腰梯形片3侧面的铰接孔柱4以及穿过铰接孔柱4的轴芯5。在一种实施方式中,合页结构内还设有用于使柔性单元1保持拉伸状态的扭簧(图中实施方式中未使用扭簧),轴芯5上可以设置自动恢复的扭簧来实现使柔性单元1保持拉伸状态的目的,这样,在牵引绳6拉伸的过程中,只要克服扭簧的扭力就可以使柔性单元1折叠压缩,而将牵引绳6释放后,扭簧又可以提供恢复的动力使柔性机械臂伸长伸直。使用合页结构时,可以将等腰梯形片3与相应的铰接孔柱4通过3D打印的方式一体成型制备。In a preferred embodiment, as shown in the figure, two isosceles trapezoidal pieces 3 are hinged in a hinge structure, and the hinge structure includes a hinge hole column 4 positioned on the side of the isosceles trapezoidal piece 3 and a hinge hole through the hinge hole. The
在使用时,位于最首端(图1中下端)的一节柔性单元1的外侧还可以设置一块安装板,安装板用于在柔性机械臂上安装一些操作机构,用于柔性机械臂实现相应的功能,比如一些用于物品抓取的结构等。When in use, a mounting plate can also be provided on the outer side of a section of
下面对拉伸到最大厚度所需满足公式进行计算证明,以图中所示柔性单元1竖向排列为例。The calculation and proof of satisfying the formula required for stretching to the maximum thickness is carried out below, taking the vertical arrangement of the
如图11所示,伸缩模块2在竖直方向的投影,其中,I、II表示的是水平和竖直的两个等腰梯形片;h为等腰梯形片3的高,a为等腰梯形片3的上底,b为等腰梯形片3的下底。d为等腰梯形片的高在竖直平面上的投影。h′为等腰梯形片的高在水平平面上的投影。为等腰梯形片与水平面的夹角。θ为伸缩模块2在水平方向上的投影角度。ψ表示竖直方向的等腰梯形片绕中心轴的旋转角度。可以表示为如下表达式:As shown in Figure 11, the projection of the
根据图11(b)所示,伸缩模块2在水平方向上的投影角度大小可以表示为:According to Fig. 11(b), the projection angle of
如图11(d)所示,等腰梯形在竖直方向上的高主要由旋转角度ψ决定:As shown in Figure 11(d), the height of the isosceles trapezoid in the vertical direction is mainly determined by the rotation angle ψ:
整合上式,我们可以得到伸缩模块2在竖直方向上的投影角度θ的具体表达式为:Integrating the above formula, we can get the specific expression of the projection angle θ of the
如上公式所示,θ随着旋转角度的变化而不断变化,伸缩机构2在不断伸缩变换过程中的关键是确保n个伸缩模块2组成的一节柔性单元1在任何一个扭曲阶段都可以在圆周上形成一个圆,即角度的总和相对于柔性机械臂主轴的空间始终等于360°。为了补偿不同扭转阶段的角度损失,需要设计角度补偿机构对角度进行补偿。As shown in the above formula, θ changes continuously with the change of the rotation angle. The key of the
对于角度补偿机构,由于每节柔性单元1中相邻伸缩模块2之间通过相互贴靠的两块等腰梯形片3的上底侧铰接,而上底侧位于整个柔性机械臂的内部,所以角度补偿机构为向外开放的补偿机构,即,提供的角度补偿是正向补偿。For the angle compensation mechanism, since the adjacent
角度变化如下式所示,其中,θadaptive为补偿角度:The angle change is shown in the following formula, where θ adaptive is the compensation angle:
nθ+θadaptive=360°nθ+θ adaptive = 360°
当伸缩单元完全拉伸(ψ=0°)时,θ达到最大值,由于采用向外开放的角度补偿,只能对角度进行正向补偿,此时,位于柔性机械臂内侧、等腰梯形片的上底一端能够提供的补偿角度大小为0。因此等腰梯形片的尺寸应该按照此时的几何关系确定。When the telescopic unit is fully stretched (ψ=0°), θ reaches the maximum value. Due to the angle compensation that is open to the outside, the angle can only be compensated positively. At this time, the isosceles trapezoidal sheet located The compensation angle that can be provided by the upper end of the upper end is 0. Therefore, the size of the isosceles trapezoidal tablet should be determined according to the geometric relationship at this time.
可得: Available:
如图9、10所示,本发明柔性机械臂通过将每节柔性单元1设计成由多个成环形排列的伸缩模块2组成,各伸缩模块2之间以及组成每个伸缩模块2的四块等腰梯形片3之间均铰接,从而可以根据需要设计多条牵引绳6,在使用牵引绳6控制柔性机械臂缩短时,可以通过控制不同牵引绳6之间的工作实现柔性机械臂的不同部位伸缩长度不同,从而使得柔性机械臂可以向不同方向弯曲,而不局限于线性方向的伸缩。As shown in Figures 9 and 10, the flexible manipulator of the present invention is designed by designing each
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