【20160317】Mobility' C! E6 r( p7 z: \$ {6 j" _ c; W, \: D
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An important property in mechanism analysis is the number of degrees of freedom of the linkage. The degree offreedom is the number of independent inputs required to precisely position all links of the mechanismwith respect to the ground. It can also be defined as the number of actuators needed to operate the mechanism. A mechanism actuator could be manually moving one link to another position, connecting a motor to the shaft of one link, or pushing a piston of a hydraulic cylinder. 自由度就是完全确定机构位置的独立参数个数,也是动力源个数。
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! C/ g, u) i O- S% }2 [ The number of degrees of freedom of a mechanism is also called the mobility, and it is given thesymbol M. When the configuration of a mechanism is completely defined by positioning one link, that system has one degree of freedom. Most commercially produced mechanisms have one degree of freedom. In constrast, robotic arms can have three, or more, degrees of freedom.! q. X) g/ C( b, N
自由度记作M。工程上大多是单自由度机构。机械臂多为多自由度机构。
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Gruebler'sEquation
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Degrees of freedom for planar linkages joined with common joints can be calculated through Gruebler'sequation : (寒假自学的一堆公式归结为一个常用公式了:3×总机构数-2×低副数-高副数,即为自由度)+ q" h8 t8 N! y! _0 u1 P1 y# x, T
9 [& Y; W2 L1 Z8 F' yAs mentioned, most linkages used in machines have one degree of freedom. Linkages with zero, or negative, degrees of freedom are termed locked mechanisms.These mechanisms are unable to move and form a structure. A truss is a structure composed of simple links and connected with pin joints and zero degrees of freedom. Linkages with multiple degrees of freedom need more than one driver to precisely operate them. Common multi-degree-of-freedom mechanisms are open-loop kinematic chains used for reaching and positioning, such as robotic arms and backhoes. In general,multi-degree-of-freedom linkages offer greater ability to precisely position a link. These mechanisms are shown in Figure 1.13.
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这帖居然被专辑收录了受宠若惊……论坛各位真是太提携后辈了……感觉更不能简简单单更课本了呢,听从各位前辈教导,自己多多在课外、在实际中学习才是!
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