Abstract：In this paper, a model of topology optimization for the lightest plate structures with frequency constraint is constructed based on Independent, Continuous and Mapping(ICM) method. Exponential function is adopted as filtering function of the element weight, the element mass and the element stiffness. Through the first-order Taylor expansion of Rayleigh quotient, which is described by the reciprocal variables of the filtering function of the element stiffness, the frequency constraint is approximately expressed as an explicit function. The dual theory is used to convert the constrained optimization model with a large number of design variables into the quasi-unconstrained optimization model with less design variables, which is solved by the sequential quadratic programming(SQP). Therefore, the solving efficiency is improved. The MSC.Patran & Nastran software and Patran Command Language(PCL) are selected to develop the topology optimization software for plate structures with frequency constraint in there. The numerical results show that the ICM method possesses stable iteration and efficient convergence.
2012, Vol. 33 
