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Using Rigid-Body Mechanism Topologies to Design Path Generating Compliant Mechanisms

机译:使用刚体机制拓扑设计路径生成兼容机制

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For a path generation problem, this paper uses the base topology of a single degree-of-freedom (DOF) rigid-body mechanism solution to synthesize fully distributed compliant mechanisms that can trace the same path. Two different strategies are proposed to employ the base topology in the structural optimization so that its design space size can be intelligently reduced from an arbitrary complexity. In the first strategy, dimensional synthesis directly determines the optimal size and shape of the compliant mechanism solution while maintaining the exact base topology. In the second, the base topology establishes an initial mesh network to determine the optimal topology and dimensions simultaneously. To increase the possibility of converging to an optimal design, the objective metrics to evaluate the path generation ability are computed in a novel manner. A section-by-section analysis with a rigid-body transformation is implemented to examine the full path of each candidate mechanism. A two-objective genetic algorithm (GA) is employed to find a group of viable designs that tradeoff minimizing the average Euclidean distance between the desired and actual paths with minimizing the peak distance between corresponding points on those paths. Two synthesis examples generating straight-line and curved paths are presented to demonstrate the procedure's utility.
机译:对于路径生成问题,本文使用单自由度(DOF)刚体机制解决方案的基本拓扑来合成可以跟踪同一路径的完全分布式兼容机制。提出了两种不同的策略来在结构优化中采用基本拓扑,以便可以从任意复杂度中智能地减小其设计空间大小。在第一种策略中,尺寸综合直接确定柔性机构解决方案的最佳尺寸和形状,同时保持精确的基础拓扑。在第二种方法中,基本拓扑会建立初始网格网络,以便同时确定最佳拓扑和尺寸。为了增加收敛到最佳设计的可能性,以新颖的方式计算了用于评估路径生成能力的客观指标。进行了带有刚体变换的逐部分分析,以检查每个候选机制的完整路径。采用两目标遗传算法(GA)来找到一组可行的设计,这些设计需要权衡使所需路径和实际路径之间的平均欧几里得距离最小化,同时将这些路径上相应点之间的峰值距离最小化。给出了两个生成直线和曲线路径的综合示例,以演示该过程的实用性。

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