摘要
对工程中大量使用的细长柱的大变形力学行为进行了研究。基于杆件可伸长和忽略剪切变形的Euler-Bernoulli梁理论,建立了杆件大变形分析的几何非线性的控制方程,利用微分求积法直接从控制方程出发,把控制方程和边界条件转化为代数方程形式,采用改进的Newton迭代法即逆Broyden秩1方法进行了求解。计算表明微分求积法是用于结构大变形分析的一个有力的工具。
The mechanical behavior of slender columns under large deformations, which are used frequently in engineering, were studied. Based on Euler-Bernoulli beam theory using bar element elongation and ignoring shear deformation, geometric nonlinear control equations were established for large deformation analysis. Using the differential quadrature method with the control equation, the governing equation and boundary conditions were transformed into algebraic equation form, and the improved Newton iterative method, specifically the inverse 1st rank Broyden method, was used to solve this equation. Calculation shows that differential quadrature method is a powerful tool when used to analyze large deformation structures.
出处
《工程力学》
EI
CSCD
北大核心
2014年第S1期1-4,10,共5页
Engineering Mechanics
基金
国家自然科学基金面上项目(51178211)
甘肃省自然科学基金项目(1310RJAY009)
建工七七基金项目(TM-QJ-1305)
