Design of Compliant Thermal Actuators Using Structural Optimization Based on the Level Set Method
Design of Compliant Thermal Actuators Using Structural Optimization Based on the Level Set Method
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DOI：
10.1115/detc2008-49618
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
T. Yamada;S. Yamasaki;S. Nishiwaki;K. Izui;M. Yoshimura
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文献类型：
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作者：
T. Yamada;S. Yamasaki;S. Nishiwaki;K. Izui;M. Yoshimura
柔性机构是一种新型的机构，其设计目的是灵活地实现特定的运动。这种机构可以作为微机电系统（MEMS）中的柔性热致动器，通过有意地设计结构，当机构结构的适当部分被加热时，利用弹性材料中的热膨胀效应。提出了一种基于水平集法和有限元法的柔性热作动器结构优化设计新方法。首先，提出了考虑输出位置位移大小的柔性热致动器的优化设计问题。其次，导出了在优化过程中引入孔时使用的拓扑导数。在优化公式和水平集方法的基础上，构造了一种新的结构优化算法，在求解平衡方程和更新水平集函数时采用有限元法。使用新开发的基于几何的重新初始化方案执行水平集函数的重新初始化。最后，通过设计实例验证了所提结构优化方法的有效性。ASME版权所有©2008
Compliant mechanisms are a new type of mechanism, designed to be flexible to achieve a specified motion as a mechanism. Such mechanisms can function as compliant thermal actuators in Micro-Electro Mechanical Systems (MEMS) by intentionally designing configurations that exploit thermal expansion effects in elastic material when appropriate portions of the mechanism structure are heated. This paper presents a new structural optimization method for the design of compliant thermal actuators based on the level set method and the Finite Element Method (FEM). First, an optimization problem is formulated that addresses the design of compliant thermal actuators considering the magnitude of the displacement at the output location. Next, the topological derivatives that are used when introducing holes during the optimization process are derived. Based on the optimization formulation and the level set method, a new structural optimization algorithm is constructed that employs the FEM when solving the equilibrium equations and updating the level set function. The re-initialization of the level set function is performed using a newly developed geometry-based re-initialization scheme. Finally, several design examples are provided to confirm the usefulness of the proposed structural optimization method.Copyright © 2008 by ASME