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A topology optimization design for the continuum structure based on the meshless numerical technique. (English) Zbl 1232.74126
Summary: The meshless radial point interpolation method (RPIM) is applied to carry out a topology optimization design for the continuum structure. Considering the relative density of nodes as a design variable, and the minimization of compliance as an objective function, the mathematical formulation of the topology optimization design is developed using the SIMP (solid isotropic microstructures with penalization) interpolation scheme. The topology optimization problem is solved by the optimality criteria method. Numerical examples show that the proposed approach is feasible and efficient for the topology optimization design for the continuum structure, and can effectively overcome the checkerboard phenomenon.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
49Q10 Optimization of shapes other than minimal surfaces
65K10 Numerical optimization and variational techniques
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