›› 2014, Vol. 36 ›› Issue (2): 212-215.DOI: 10.6052/1000-0879-12-473

• 应用研究 • 上一篇    下一篇

瞬变体系的等效拉伸刚度

徐春晖, 张琳楠, 秦太验   

  1. 中国农业大学理学院, 北京100083
  • 收稿日期:2012-12-26 修回日期:2013-04-08 出版日期:2014-04-08 发布日期:2014-04-15
  • 通讯作者: 徐春晖,女,博士,教授,主要从事计算固体力学研究. E-mail:xuchunhui_cau@163.com
  • 基金资助:
    国家自然科学基金资助项目(11272341).

DISCUSSION OF A TRANSIENT SYSTEM

XU Chunhui, ZHANG Linnan, QIN Taiyan   

  1. College of Science, China Agricultural University, Beijing 100083, China
  • Received:2012-12-26 Revised:2013-04-08 Online:2014-04-08 Published:2014-04-15

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.

关键词: 瞬变体系|小变形|等效刚度|有限变形理论

Abstract: 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.

Key words: transient system|small deformation|equivalent stiffness|finite deformation theory

中图分类号: