tailieunhanh - Evolutionary Robotics Part 13

Tham khảo tài liệu 'evolutionary robotics part 13', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 472 Frontiers in Evolutionary Robotics Actuators are placed in A and C. Attaching to each link a vector on the OABPO respectively OCDPO we can write successively the relations OP OA AB BP OP OC CD DP 4 Based on the above relations the coordinates of the point P have the following forms d _ T_ d . _ xP 1 cos q1 L cos q3 - 1 cos q2 L cos q4 5 yP l sin q L sin q3 l sin q2 L sin q4 In this part kinematics of a planar micro parallel robot articulated with revolute type joints has been formulated to solve direct kinematics problem where the position velocity and acceleration of the micro parallel robot end-effector are required for a given set of joint position velocity and acceleration. The Direct Kinematic Problem DKP of micro parallel robot is an important research direction of mechanics which is also the most basic task of mechanic movement analysis and the base such as mechanism velocity mechanism acceleration force analysis error analysis workspace analysis dynamical analysis and mechanical integration. For this kind of micro parallel robot solving DKP is easy. Coordinates of point P in the case when values of joint angles are known q1 and q are obtained from relations xP - D Dp - 4BC yp a pÍÌl-Íd 6 2C yB- yD where A - xD yD- xB- yB- LDP lBp B yB - yD 2 xD yD - Ldp A2 - 2yD yB - yD A C yB - yD 2 xB - xD 2 D 2yD yB - yD xB - xD - 2xD yB - yD - 2 A xb - xd 7 d xD - 1 cos q2 yD l sin q2 d xB 2 1 cos q1 yB 1 sin q1 The speed of the point P is obtained differentiating the relations 1 . Thus results Evolving Behavior Coordination for Mobile Robots using Distributed Finite-State Automata 473 where Jb or V1 O Ja V _ Jb .0 _ L cos q3 L sin q3 L cos q4 L sin q4 l L sin q1 - q3 0 l L sin q2 - q4 Vx Vy O ũ3 8 9 10 11 j where j Jb j-1 JA sin q4 sin q - q3 sin q4 - q3 - cos 4 sin q - q3 - sin q3 sin q2 - q4 12 cos q3 sin q2 - q4 J L and J represents the Jacobian matrix. Acceleration of the point P is obtained by differentiating of relation 8 as it yields 1 j

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