TOPOLOGICAL OPTIMIZATION OF LAMINATED PLATE SUBJECT TO FLUID-STRUCTURE INTERACTION WITH FREQUENCY CONSTRAINT BASED ON ICM METHOD

A topology optimization model for a laminated plate subjected to fluid-structure interactions with frequency constraints is established and solved based on ICM (Independent Continuous Mapping) method. An explicit expression of the frequency-constraint(s) with respect to the topological variables is obtained by using Green formula and Rayleigh quotient. The design sensitivity formula is deduced by taking the advantage of Taylor linear approximation. The mathematical model of this optimization is solved by dual sequential quadratic programming. In addition, a modified Heaviside function is introduced to deal with the discretization of topology variables. The optimal model and its algorithm have been implemented by using the development language of MSC. Patran and MSC. Nastran software. Numerical examples show the reliability and validity of the program and algorithm.