1. School of Civil Engineering,Central South University,Changsha 410075,China；
2. School of Automotive and Mechanical Engineering,
Changsha University of Science and Technology,Changsha 410076,China；
3. Department of Civil Engineering,Changsha University,Changsha 410022,China;
4. Key Laboratory for Safety Control of Bridge Engineering,
Changsha University of Science & Technology,Changsha 410076,China
A structural material optimization method with varied random dynamic responses constraints was proposed to solve the problem of structural material optimization under random excitations,based on the structural topology optimization technology. By using the conventional rational approximation and power interpolation for material properties and masses and selecting the reciprocals of topological variables of micro structural elements as design variables,the first order derivatives of frequency and modal shape with respect to the design variables were derived. And the one order approximate explicit functions of dynamic responses were further achieved. Integrated with the idea of varied constraints,a topological optimization model of micro structures was built by taking the structural mass as the objective function and the dynamic responses as constraint functions. Then,a dual solving method was introduced. Several numerical examples were presented to verify the proposed optimization algorithm and the microstructures of cellular materials were obtained.
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