Shape optimization of plate with static and dynamic constralnts via virtual laminated element

The virtual laminated element method(VLEM) can resolve structural shape optimization problems with a new method.According to the characteristics of VLEM,only some characterized layer thickness values need be defined as design variables instead of boundary node coordinates or some other parameters determining the system boundary.One of the important features of this method is that it is not necessary to regenerate the FE(finite element)grid during the optimization process so as to avoid optimization failures resulting from some distortion grid elements.The thickness distribution in thin plate optimization problems in other studies before is of stepped shape.However,in this paper,a continuous thickness distribution can be obtained after optimi-zation using VLEM,and is more reasonable.Furthermore,an approximate reanalysis method named "behavior model technique" can be used to reduce the amount of structural reanalysis.Sone typical examples are offered to prove the effectiveness and practicality of the proposed method.