结构静态位移一阶和二阶灵敏度近似计算方法  

First and second-order sensitivity method of structure static displacement

作　　者：麻凯 李邦辉 杨坤[2] 刘巧伶 MA Kai;LI Bang-hui;YANG Kun;LIU Qiao-ling(College of Mechanical and Aerospace Engineering,Jilin University,Changchun 130022,China;Basic Education College of Aviation University of Air Force,Changchun 130022,China)

机构地区：[1]吉林大学机械与航空航天工程学院,长春130022 [2]空军航空大学航空基础学院,长春130022

出　　处：《吉林大学学报（工学版）》2021年第2期472-477,共6页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(51675216)。

摘　　要：提出一种基于Epsilon算法和改进的纽曼级数的结构静态位移的一阶和二阶灵敏度近似计算方法。本文将Epsilon算法与改进的纽曼级数法结合形成新的静态位移快速近似计算方法,并进一步推导出了静态位移一阶灵敏度快速近似计算方法;然后利用差分方法与一阶灵敏度方法结合进一步推导出静态位移二阶灵敏度近似计算方法。桁架模型和梁模型灵敏度计算结果表明了两种灵敏度方法的工程应用价值。Based on Epsilon algorithm and improved Neumann series, an approximate method for calculating the first and second order sensitivity of structural static displacement is proposed. First,the Epsilon algorithm is combined with the improved Neumann series to form a new fast approximate calculation method of static displacement,and a fast approximate calculation method of the first-order sensitivity of static displacement is derived. Then,the second-order sensitivity approximate calculation method of static displacement is further derived by combining the difference method with the first-order sensitivity method. The sensitivity calculation results of truss model and beam model show the engineering application value of the two sensitivity methods.

关 键 词：改进的纽曼级数 Epsilon算法 灵敏度分析 结构重分析 

分 类 号：O342[理学—固体力学]