Topology optimization of continuum structures under frequency excitation load based on dynamic natural element method

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (21) : 252-258.

XU Jiaqi1MA Yongqi1,2

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Abstract

The natural element method is a meshless one with shape function formed using Voronoi diagram.According to advantages of the natural element method, topology optimization method of continuum structures under frequency excitation load based on dynamic natural element method was proposed.Using isotropic solid micro-structure penalty (ISMP) model, taking relative density of nodes as design variables and the dynamic flexibility being the minimum as the objective, a topology optimization model was built under frequency excitation load.The adjoint analysis method was used to perform sensitivity analysis, and the optimization criteria method was used to solve the optimization model.The numerical example computation results showed that this method can be used not only to obtain the optimization results with chess-free phenomenon, but also has a higher computational efficiency compared with other meshless methods to verify its feasibility and effectiveness.

Key words

/ Topology optimization, frequency excitation, Natural element method, meshless method, dynamicmechanics

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XU Jiaqi1MA Yongqi1,2 . Topology optimization of continuum structures under frequency excitation load based on dynamic natural element method[J]. Journal of Vibration and Shock, 2019, 38(21): 252-258

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