弹性梁有限变形的边值问题  

Boundary Value Problems of Elastic Beams with Finite Deformation

作　　者：胡成栋[1] 刘玮[1] 

机构地区：[1]吉林大学数学系,长春130023

出　　处：《吉林大学自然科学学报》1993年第3期9-18,共10页Acta Scientiarum Naturalium Universitatis Jilinensis

摘　　要：本文应用非线性弹性理论方法研究了一般弹性梁.给出了可伸长、有剪切梁有限变形平衡问题Lagrange型的基本方程和边界条件.进而为应用数值方法研究梁的屈曲与分叉问题提供具体边值问题.应用本文方法可以很容易地得到梁有限变形各种简单情形的定解问题以及它的线性理论.In this paper, general elastic beams are studied, using the nonlinear elastic theory method and lagrange's type of basic equations and boundary conditions for finite deformation e-quilibrium problems of tensible beams with shearing deformation are given. Consequently, the specific boundary value problems are provided for studying buckling and bifurcation of beams, using numerical method. It is easy to obtained definite problems of finite deformation beams under various simple cases and its linear theory.

关 键 词：弹性梁 有限变形 边值问题 

分 类 号：TU323.3[建筑科学—结构工程]