摘要
论文研究初应力杆的小变形问题。用初应力作为参数,提出初应力位形上小变形问题的位移变分原理;针对直杆的几何特点,提出了用数值参数描写直杆初应力,用所提出的变分原理建立了初应力杆的小变形位移分量的定解问题。所得的方程中包含了初应力的数值参数。分析表明,初应力的不同的数值参数可以对相关的刚度、压杆的临界力以及基本变形的耦合与固有频率产生显著的影响。
Small deformation problems of pre-stressed bar are studied in present paper. Regarding initial stresses as parameters, a variational principle of displacement is suggested. Numerical parameters are used to describe initial stress. Based on the variational principle, a mathematical system of equations to solve displacement components of the bar is established. Numerical parameters are contained in the obtained equations. The system of equations is suitable for dynamic analysis of stressed members including pre-stressed bars on that small deformations are superposed. Analyzing the mathematical system, it is observable that the stiffness, critical force, couple of elemental deformations and inherent frequencies are affected by the numerical parameters.
出处
《工程力学》
EI
CSCD
北大核心
2003年第3期125-128,共4页
Engineering Mechanics
关键词
杆
初应力
应力数值参数
小变形
临界力
bar
initial stress
numerical parameters
small deformation
critical force
