Abstract
The boundary element method is used in conjunction with nonlinear programming methods for optimal structural shape synthesis. An approach for grid refinement and grid adaptation for the boundary element method is developed for application in plane elasticity problems. This technique uses a predefined control function in a variational formulation to obtain an optimal node distribution for the computational domain. To prevent distortion of the original domain, master nodes are introduced to control the geometry of the structure. The paper also describes an efficient implementation of a semi-analytical sensitivity analysis for optimum design. Numerical results are presented for a class of shape synthesis problems.
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