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本文介绍将数学规划法与有限元法相结合,对机床大件截面尺寸进行热态优化设计。取机床结构的板、梁单元厚度为设计变量,机床结构的温度差为约束条件,以获得最轻重量的机床大件截面尺寸。求解优化问题时釆用可行方向法。为了减少完整的有限元分析时间,用一种等价于Taylor级数展开式的迭代序列进行结构近似重分析。对MM7120A平面磨床立柱截面尺寸进行热态优化设计,可使其重量减轻13.6%.
This paper introduces the combination of mathematical programming and finite element method, the machine tool large section size thermal optimization design. Take the machine structure of the board, the beam element thickness design variables, the temperature difference of the machine tool structure constraints, in order to obtain the lightest weight machine tool section size. To solve the optimization problem preclude the use of feasible direction method. In order to reduce the complete finite element analysis time, an approximate iteration of Taylor Series expansion is used to perform approximate structural reanalysis. MM7120A surface grinder column cross-section size of the thermal optimization design, can reduce the weight of 13.6%.