摘要
针对一个瞬变体系进行深入讨论.分析可得垂直载荷与无量纲垂直位移的三次方成正比,由此引入结构等效拉伸刚度的概念,其值刚好等于结构受水平载荷作用时的刚度;对于结构不对称的情况,基于有限变形理论,给出Lagrange观点下垂直载荷和位移之间精确表达式,当忽略水平位移时,定义结构的调和长度及等效拉伸刚度,给出统一的载荷与位移之间的关系式.
A transient system is discussed in detail. The concept of equivalent tensile stiffness is introduced according to the result that the vertical load is proportional to the cubic of the dimensionless vertical displace- ment. The value of the equivalent tensile stiffness is exactly equal to the structural stiffness under the horizontal loads. Based on the finite deformation theory, the relation between the vertical load and displacement for asym- metric structures in the Lagrange coordinate system is given. The uniform relationship between the load and displacement can be obtained by ignoring the horizontal displacement.
出处
《力学与实践》
北大核心
2014年第2期212-215,共4页
Mechanics in Engineering
基金
国家自然科学基金资助项目(11272341)
关键词
瞬变体系
小变形
等效刚度
有限变形理论
transient system, small deformation, equivalent stiffness, finite deformation theory
