多输入多输出柔顺机构拓扑优化及输出耦合的抑制

TOPOLOGY OPTIMIZATION OF MULTIPLE INPUTS AND OUTPUTS COMPLIANT MECHANISM WITH COUPLING TERMS CONTROL

多自由度柔顺机构在微动精密定位和精密操作等领域有广泛的应用,因而研究多自由度柔顺机构的拓扑优化方法就显得十分必要。给出了一种多输入多输出柔顺机构拓扑优化设计的新方法。首先,推导了描述多输入多输出柔顺机构柔性的互应变能公式和描述机构刚性的应变能公式,研究了抑制耦合输出的策略,进一步给出了描述输出耦合效应的计算公式,在此基础上建立了考虑抑制输入输出耦合效应时柔顺机构的多目标拓扑优化设计模型。其次,基于改进的优化准则法给出了优化模型的有效求解算法。最后,通过算例说明了该方法的正确性和有效性,研究结果表明,拓扑优化后柔顺机构可以按照预定的要求运动,其输出耦合现象得到了有效抑制。

Multiple degree-of-freedom compliant mechanisms are widely used in the fields of micro-positioning and micro-manipulation. So it is highly necessary to study the topology optimization method for this kind of mechanism. A new topology optimization method of compliant mechanisms with multiple inputs and multiple outputs are presented. Firstly, the expressions of the mutual potential energy and the strain energy which indicate the flexibility and the stiffness of the multiple inputs and multiple outputs mechanism, respectively, are developed. The suppression strategy of input and output coupling terms is studied, and the expression of the output coupling terms is further developed. On the basis of the expressions, a multi-objective optimization model with input and output coupling terms suppression is developed. Secondly, based on the modified optimal criteria method, a computational procedure for the solution of the optimization model is presented. Finally, a numerical example is presented to show the validity of the new method. Simulation results show that the compliant mechanism can be deformed in the desirable manner and the coupling output displacements are suppressed significantly by using the presented method.