摘要
The virtual laminated element method (VLEM) can resolve structural shap e optimization problems with a new method. According to the characteristics of V LEM , only some characterized layer thickness values need be defined as design v ariables instead of boundary node coordinates or some other parameters determini ng 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 optimizati on process so as to avoid optimization failures resulting from some distortion grid elements. Th e thickness distribution in thin plate optimization problems in other studies be fore is of stepped shape. However, in this paper, a continuous thickness distrib ution can be obtained after optimization using VLEM, and is more reasonable. Fur thermore, an approximate reanalysis method named ″behavior model technique″ ca n be used to reduce the amount of structural reanalysis. Some typical examples are offered to prove the effectiveness and practicality of the proposed method.
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.
