骨架组合结构材料选择优化层合部件法

提出用于金属一复合材料骨架组合结构减振优化设计的层合部件法（1aminatecomponentmethod，LCM）。定义骨架结构中待设计杆件和梁为层合部件，杆件在有限元模型中必须用由待选材料构成的层合梁单元或层合板单元模拟，以避免弯曲振动模态丢失。结合结构拓扑优化SIMP（sotidisotropicmierostrueturewithpenaltymethod）法，建立了钢一复合材料组合骨架结构材料选择、拓扑与尺寸优化的综合数学模型，实现材料选择与拓扑优化设计变量的连续化。以桁架结构质量为目标函数，振级落差、加速度、位移和应力等为约束条件，给出金属一复合材料组合桁架结构减振优化设计实例。优化结果表明，LCM用于金属一复合材料组合骨架选材优化设计是可行的。

Laminate component method for materials selection optimum design of hybrid skeletal structures

Laminate component method （LCM） for continuum structures was applied to materials selection optimum design of hy- brid skeletal structures with vibration reduction constraints. Bars in truss or beams in rigid frame structure were defined as lami- nate components, and discretized by laminated beam and laminated plates composed by the provided materials for selection to a- void unreasonable vibration modes. Based on LCM and solid isotropic microstructure with penalty （SIMP） method, the mathe- matical model was established for the concurrent optimization of materials selection, topology and size for hybrid steel-composite skeletal structures. Continuous design variables are defined for materials selection optimization and topology optimization. The vi- bration level difference （VLD）, acceleration, stress and displacement constraints are considered with structural weight as objec- tive function. Examples of 10-bar truss and 3-bar truss hybrid structures with different vibration reduction requirements were im- plemented. The optimization results verify the effectiveness of the laminate component method and proposed mathematical model of simultaneous materials selection, topology and component dimensions optimization.