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对于给定机架和欲逼近直线上的点及方向角,为解决寻优难问题,选取一个连架杆方位角为设计参数,基于Euler-Savary方程和曲率-驻点曲线方程,采用解析法求解含鲍尔点直线机构全解,并实现全部机构尺寸和直线性能的图形可视化。施加运动学约束,计算可行解区间,为具有三阶密切直线导路机构的最优运动设计提供一种先进有效的设计方法,最后通过设计示例验证公式与分析方法的正确性和可行性。
In order to solve the problem of finding the best and the best solution for a given rack and the line to be approximated, the azimuth of a frame is chosen as the design parameter. Based on Euler-Savary equation and curvature-stagnation curve equation, Solve the complete solution with a Bauer point straight line mechanism and realize the graphic visualization of all the dimensions and straight line properties of the mechanism. By applying kinematic constraints and computing feasible solution intervals, an advanced and effective design method is provided for the optimal motion design with third-order close linear guides. Finally, the correctness and feasibility of the formulas and analysis methods are verified by design examples.