线粘弹结构中的最优路径

ON OPTIMAL PAIH OF LINEAR VISCOELASTIC STRUCTURES

摘要

摘要:讨论了二类结构中的最优路径：即三维可分离变量粘弹体与桁架，发现：（１）粘弹体（Ｍａｘｗｅｌｌ材料）中的最优变形路径在（０，Ｔ）内是线性形式，仅在ｔ＝Ｔ时刻有跳跃，同时指出以前研究中的不妥之处；（２）桁架结构（Ｍａｘｗｅｌｌ材料）中的最优加载路径为突加载荷．

Abstract:We discussed the optimal path of two kinds of structures:(1)three dimensionalseparable variable viscoelasticity; and(2)truss.we have shown:1) the optimal deformationpath of viscoelasticity(Maxwell material)is linear on(0,T)and only suffers jump discontin-uance at t = T. We also pointed out the mistakes of some previous studies;2) the optimalloading path of a truss (Maxwell material)is an impulsive one。