On the solution of region-based planar four-bar motion generation
On the solution of region-based planar four-bar motion generation
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基于区域的平面四杆运动生成解决方案
DOI：
10.1016/j.mechmachtheory.2008.03.005
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发表时间：
2009-02
影响因子：
5.2
通讯作者：
Qian Weixiang
中科院分区：
文献类型：
--
作者：
Han Jianyou;Qian Weixiang
基于Burmester曲线的运动生成可以对给定的四种刚体姿态产生无限多的解。设计人员很难通过快速、精确地选择曲线点来综合出最优的连杆机构，以保证满足各种设计条件。为了解决这一问题，本文首先以角度φ (φ∈(0,2 π))为参数，将不同的圆点曲线方程统一为同一形式，通过建立反射关系，可以在有限解区域上表示出无限个刚体制导解。在对解域进行初步分析的基础上，计算出机构属性图，使设计人员能够找出所涉及的机构信息，如机构类型、最小传动角、连杆长度比、缺陷等。其次，在考虑并施加设计约束条件后，计算出避免位置选择无目的的可行解区域；最后，在可行解域或感兴趣的解域上显示性能分析图，生成优化的刚体制导解。该方法简单易行，便于实际应用。
Burmester curve-based motion generation can produce an infinite number of solutions for given four rigid-body poses. It is difficult for designers to synthesize the best linkage through rapidly and precisely selecting curve points that ensure to satisfy every design condition. To solve this problem, in this paper, different circle point curve equations are unified into the same form with the angle φ (φ∈(0, 2π)) as the parameter firstly, thus, an infinite number of rigid-body guidance solutions can be expressed on the finite solution regions through setting up the reflection relationship. Based on initial analysis of solution regions, the mechanism property graph has been computed to make the designers find out involved mechanism information, such as their types, minimum transmission angles, link-length ratios, defects, and so on. Secondly, after design constraints are considered and imposed, feasible solution regions which avoid aimlessness in choosing positions can be calculated. Finally, on the feasible solution regions or the one of interest, property analysis graphs are displayed, along with which the optimized rigid-body guidance solution can be produced. The method in this work is simple, highly accessible and convenient for application in practice.
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