【摘要】 本文将数学规划法与力学近似手段相结合,对机床中的板壳结构件进行优化设计。考虑了固有频率约束和多工况下的静位移约束,以保证结构件的静、动态特性。为了减少优化过程中有限元结构分析的次数,采用近似分析方法求解一系列较容易解决的优化子问题,逐渐逼近原优化问题的解。所获得的数值计算结果是令人满意的。更多还原

【Abstract】 An approach to combine the mathematical programming method with mechanical approximation to optimize the machine tool structures is presented in this paper. In our case, the problem of structure optimzation is converted into a nonlinear programming problem with dynamic and static characteristcal constrains. An approximation technicis employed to generate a sequence of mathematical programming for sub-problems with explicit constrains which is easy to solve. Therefore, the amount of computation work for structure analysis by finite element method is reduced greatly. The usefulness of this procedure is shown from the optimized results of several structure models and realistic lathe beds.更多还原