英文标题
THE UNIFORM MODEL BASED ON THE EXIST-NULL COMBINATION FOR THE TRUSS AND MEMBRANE TOPOLOGICAL OPTIMIZATION WITH STRESS CONSTRAINT
英文摘要
According to the idea of independent and continuous topo logicalvariables, a uniform exist-null combined model of the bar element and t he membrane element for the topological optimization is constructed to implement the transformation between continuous and discrete topological variables withou t using the filter function. It is derived that the area of bar and the thicknes s of membrane with the weight or the stiffness matrix are all the linear combina tions of the corresponding quantities of the ‘exist element’ and the ‘null el ement’. Then this linear relation is extended to the allowable stress. The uniform mathematical model of the topological optimization of skeleton and c ontinuum structure with stress constraint is established in terms of the exist- null combination. At the same time an effective algorithm is proposed to solve t he uniform mathematical model. In line with the zero approximation of the stress constraint function, a solution of topological optimization with stress constra int of single loading case is obtained from the strength condition. Then, the av erage value of each topological variable under all of the loading cases is taken as a solution of multiple loading cases. Finally, a self-adaptive algorithm gi ves the transformation of the continuous topological variable to discrete variab le according to a doorsill. It can get satisfactory computational results with r apid and stable convergence. This work also shows that the presence of independe nt and continuous topological variable is valuable to the research of structural topology optimization.
获取号
WF:perioarticalgtlxxb200101003
