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分段线性材料桁架的位移灵敏度 被引量:2

DISPLACEMENT SENSITIVITY OF TRUSS STRUCTURES MADE OF PIECE WISE LINEAR MATERIAL
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摘要 本文推导了分段线性材料桁架结构的位移对截面积的灵敏度,并给出三杆桁架实例。指出了在材料性质发生突变处位移对截面积的灵敏度不连续、位移等值面不光滑;讨论了采用准则法求解优化问题时的灵敏度计算和迭代公式,旨在指出文献中的错误。 The present paper gives the derivation of the displacement sensitivity of truss structures made of piece wise linear material, with respect to the cross sectional areas of bars. A three bar truss example is provided. It is shown that the displacement sensitivity at the transition point of material stiffness is discontinuous and the displacement contour of design space is rough. The sensitivity formula and iterative scheme in the optimality criterion approach developed in references are further clarified.
出处 《工程力学》 EI CSCD 北大核心 1998年第1期1-9,共9页 Engineering Mechanics
关键词 分段线性材料 桁架结构 结构优化 灵敏度 准则法 结构力学 structural optimization, piece wise material, sensitivity, optimality criterion
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