Compliant mechanisms with multiple inputs and multiple outputs have a wide range of applications in precision mechanics, for example, cell manipulations, electronic microscopes, and so on. The movement uncoupling and maximum desired output displacements among these devices all become critical because many inputs and outputs are involved. The topology optimization design of compliant mechanisms, which can solve output coupling and input coupling problems, hinge and gray region problems, and the multiple‐objective optimal problem, is an important topic of researches for achieving fully decoupled motion. It is also a challenge area of research due to serious conflicts of between the four of output and input uncoupling constraints, volume constraint, the hinge‐free requirement, and the good black/white solution requirement. In order to comprehensively solve these problems, a simple optimization model overcoming these serious conflicts is posed, which includes small change rate constraints of structural compliances corresponding to the driving input loads and output point virtual loads. Then, the multiple output displacement functions of the model are equivalently converted into non‐negative functions. The multiple‐objective model is converted into a single‐objective optimization model by using a bound variable. The method of moving asymptotes (MMA) algorithm is adopted to solve it. Several examples are presented to demonstrate the validity of the proposed method.

中文翻译：

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一种优化具有多个输入和多个输出的无铰链和完全解耦的顺从机构的拓扑的新方法

具有多个输入和多个输出的兼容机制在精密机械中具有广泛的应用，例如细胞操纵，电子显微镜等。这些设备之间的运动解耦和最大期望输出位移都变得至关重要，因为涉及许多输入和输出。柔顺机构的拓扑优化设计可以解决输出耦合和输入耦合问题，铰链和灰色区域问题以及多目标最优问题，是实现完全解耦运动的重要研究课题。由于输出和输入解耦约束，体积约束，无铰链要求和良好的黑白解决方案要求之间的严重冲突，这也是研究的挑战领域。为了全面解决这些问题，提出了克服这些严重冲突的简单优化模型，该模型包括与驱动输入载荷和输出点虚拟载荷相对应的结构柔度的小变化率约束。然后，将模型的多个输出位移函数等效转换为非负函数。通过使用绑定变量将多目标模型转换为单目标优化模型。它采用移动渐近线（MMA）算法来解决。给出了几个例子来证明所提方法的有效性。其中包括与驱动输入负载和输出点虚拟负载相对应的结构柔量的小变化率约束。然后，将模型的多个输出位移函数等效转换为非负函数。通过使用绑定变量将多目标模型转换为单目标优化模型。它采用移动渐近线（MMA）算法来解决。给出了几个例子来证明所提方法的有效性。其中包括与驱动输入负载和输出点虚拟负载相对应的结构柔量的小变化率约束。然后，将模型的多个输出位移函数等效转换为非负函数。通过使用绑定变量将多目标模型转换为单目标优化模型。它采用移动渐近线（MMA）算法来解决。给出了几个例子来证明所提方法的有效性。它采用移动渐近线（MMA）算法来解决。给出了几个例子来证明所提方法的有效性。它采用移动渐近线（MMA）算法来解决。给出了几个例子来证明所提方法的有效性。