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首页> 外文会议>The 7th China-Japan-Korea joint symposium on optimization of structural and mechanical systems >Shape Optimization Problem for Link Mechanism
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Shape Optimization Problem for Link Mechanism

机译：连杆机构的形状优化问题

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摘要

This paper presents numerical solution of shape optimization problems for link mechanisms such as a pistoncrank mechanism.Dynamic behavior of a link mechanism is described by a differential-algebraic equation (DAE) system consisting of motion equations of each single body and constraints of linkage.Shape optimization problem is constructed using an external work done by a given external force for an assigned time interval as an objective function to maximize, and the volume of the all links as a constraint function.Shape derivatives of these cost functions are evaluated theoretically.A scheme to solve the shape optimization problem is presented using the H1 gradient method for shape optimization problem (traction method) as a reshaping algorithm keeping smoothness of boundary.Numerical example shows that reasonable shapes for each link are obtained by the present approach.
机译：本文提出了连杆机构（例如活塞曲柄机构）的形状优化问题的数值解决方案。连杆机构的动力学行为是由微分代数方程（DAE）系统描述的，该系统由每个单体的运动方程式和连杆机构的约束组成。使用给定外力在给定的时间间隔内将给定外力完成的外部工作作为最大化的目标函数，并将所有链接的数量作为约束函数来构造优化问题，并从理论上评估这些成本函数的形状导数。通过H1梯度法将形状优化问题（牵引法）作为一种保持边界平滑度的整形算法，提出了一种解决形状优化问题的方法。算例表明，采用这种方法可以获得每个链节的合理形状。

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