Abstract
Ashapedesignoptimizationprocedureforhyperelasticstructuresisdevelopedusing ameshlessmethodforanalysis and a continuum-based design sensitivity analysis (DSA) method. The meshless method greatly reduces the mesh distortion or entanglement encountered in using the e nite element method for large deformation nonlinear analysis and structural shape design optimization. The DSA method of Grindeanu et al. (Grindeanu, I., Chang, K.-H., Choi, K. K., and Chen, J.-S., “ Design Sensitivity Analysis of Hyperelastic Structures Using a Meshless Method,” AIAA Journal, Vol. 36, No. 4, 1998, pp. 618 ‐627) is extended by using a pressure projection method to avoid volumetric locking for nearly incompressible materials without the need for large support sizes for the meshless shape functions and to reduce the CPU time. The Lagrange multiplier method is used to impose the essential boundary conditions. An engine mount is employed as an example to demonstrate the feasibility of the proposed optimization method. The mass is minimized subject to constraints on hydrostatic pressure and stiffness characteristics of the component. The design velocity e elds corresponding to theshape design parameters are obtained using the Design Sensitivity Analysis and Optimization tool. Shape design optimization is carried out using the modie ed feasible direction of the Design Optimization Tool.
Published Version
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