| Abstract:Equivalent static loads method （ESLM）is an effective method to solve dynamic topology optimization problem. However, when solving dynamic topology optimization problem of elastoplastic material, plastic deformations, occurred in different directions at each moment, lead to larger equivalent static loads and direction deviations. Therefore, an ESLM based on modulus ratio coefficient （MRC-ESLM）is proposed. Based on relationships between stress, strain and Young's modulus, Calculated Young's Modulus is equated at each moment firstly. Then modulus ratio coefficients is derived, and equivalent static loads are amended based on equivalent displacement. Static multi-condition topology optimization is performed, and then dynamic analysis is performed again. Two cycles are repeated until convergence criterion is satisfied. Numerical examples show modified ESLM can solve nonlinear problem of elastoplastic material effectively, and improves equivalent accuracy, these means application range of ESLM is expended. Numerical example of automobile knee buffer shows that, under the same constraints, smaller plastic strain is obtained by MRC-ESLM compared with that of ESLM. |
