影响结构优化理性准则法优化效果的关键问题研究  

KEY FACTORS INFLUENCING OPTIMIZATION EFFECT OF RATIONAL CRITERION METHODS FOR STRUCTURAL OPTIMIZATION

作　　者：陈树勋[1] 韦齐峰[1,2] 黄锦成[1] 

机构地区：[1]广西大学机械工程学院,南宁530004 [2]广西大学土木建筑工程学院,南宁530004

出　　处：《固体力学学报》2014年第1期101-107,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(50965002)资助

摘　　要：深入仔细分析决定理性准则法优化效果与优化效率的关键问题——准则是否准确和迭代计算是否收敛.首次提出:在结构优化中,重量作为设计资源除有改善结构性能的一面之外,还会有作为载荷导致结构性能劣化的矛盾的另一面.虚功准则方程组忽略载荷导数,无法考虑重量矛盾作用的另一面,这种忽略不能视为合理近似.因为对于航空航天器、高精度天线和高速运行的机械、车辆等以自重和惯性载荷为主的一大类工程结构,这种忽略导致虚功法得到的解离最优解相差甚远.导重准则法是严密推导的理性准则法,克服了虚功法准则不准的缺陷,优化效果大幅度提高.数据详尽的十杆桁架优化考题算例验证了以上论点.Key factors influencing optimization effect of rational criterion methods for structural opti- mization are dissectionally lucubrated. It is firstly pointed out that structural weight plays two ambivalent roles in structural optimization. As design resource, weight can improve structural performances;on the other hand, as structural load, weight may make structural performances bad. The criteria equation group of virtual work method,which ignores derivatives of structural load to design variables,can not give full con- sideration to two ambivalent roles of structural weight, so it can not be treated as a rational approximation. For aircraft, spacecraft, high precision antenna, high-speed train, vehicle and machine etc. , their structural main load is structural weight or inertial load, the result obtained through the virtual work method is usual- ly far away from the optimum solution. In guide-weight method,the criteria equation groups are strictly de- duced and the limitation of virtual work method is overcome, so its optimization result is improved noticea- bly.

关 键 词：结构优化 理性准则 虚功法 导重法 

分 类 号：TB114.1[理学—运筹学与控制论]