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Topology Optimization of Compliant Circular Path Mechanisms Based on an Aggregated Linear System and Singular Value Decomposition by A. Takezawa; M. Kitamura is a Engineering article available to read on EtoBox.
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## SUMMARY This paper proposes a topology optimization method for the design of compliant circular path mechanisms, or compliant mechanisms having a set of output displacement vectors with a constant norm, which is induced by a given set of input forces. To perform the optimization, a simple linear system composed of an input force vector, an output displacement vector and a matrix connecting them is constructed in the context of a discretized linear elasticity problem using FEM. By adding two constraints: 1, the dimensions of the input and the output vectors are equal; 2, the Euclidean norms of all local input force vectors are constant; from the singular value decomposition of the matrix connecting the input force vector and the output displacement vector, the optimization problem, which specifies and equalizes the norms of all output vectors, is formulated. It is a minimization problem of the weighted summation of the condition number of the matrix and the least square error of the second singular value and the specified value. This methodology is implemented as a topology optimization problem using the solid isotropic material with penalization method, sensitivity analysis and
Who reads Topology Optimization of Compliant Circular Path Mechanisms Based on an Aggregated Linear System and Singular Value Decomposition?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- A. Takezawa; M. Kitamura
- Publisher
- John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0029-5981)
- Published
- 2011
- Language
- EN
- Field
- Engineering (Physical Sciences)