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力学与实践 ›› 2016, Vol. 38 ›› Issue (2): 119-125.doi: 10.6052/1000-0879-15-184

• 专题综述 • 上一篇    下一篇

工程索结构动力学:非线性建模与分析

郭铁丁, 康厚军, 王连华, 赵跃宇   

  1. 湖南大学土木工程学院, 长沙 410082
  • 收稿日期:2015-07-03 出版日期:2016-04-15 发布日期:2016-04-12
  • 通讯作者: 郭铁丁,博士,助理教授,研究方向为结构非线性振动,结构-介质耦合动力学,多尺度建模/分析/计算.E-mail:guotd@hnu.edu.cn E-mail:guotd@hnu.edu.cn
  • 基金资助:

    湖南大学青年教师成长计划(531107040699)和国家自然科学基金(11502076,11572117)资助项目.

DYNAMICS OF ENGINEERING CABLE:NONLINEAR MODELLING AND ANALYSIS

GUO Tieding, KANG Houjun, WANG Lianhua, ZHAO Yueyu   

  1. College of Civil Engineering, Hunan University, Changsha 410082, China
  • Received:2015-07-03 Online:2016-04-15 Published:2016-04-12

摘要:

索结构因其轻、柔及高强度等特性被作为受拉构件广泛应用于工程领域.一方面,环境载荷激励下索结构产生了复杂的大幅动力响应,给结构带来危害;另一方面,索结构是一个同时含有平方和立方非线性的典型力学系统,具有非常丰富的非线性动力学行为.因此,索动力学的研究受到了工程界和力学界的广泛关注,产生了大量的研究成果.本文尝试从索结构动力学建模、非线性内共振分析、支座运动激励下的索动力学以及复杂环境载荷作用4个方面对索动力学研究进行总结,并讨论目前研究的局限性.

关键词:

索结构|非线性建模|内共振|支座/边界激励|多尺度方法

Abstract:

Cables are widely used as tension structure members in engineering as they are light, flexible and of high strength. On one hand, the external excitations induce cable's complex dynamic responses with large amplitudes, which might cause structure's failure. On the other hand, the cable structure is a typical nonlinear system with both quadratic and cubic nonlinearities, which means extensive nonlinear dynamic behaviors. Therefore, the cable dynamics is an interesting research issue in both engineering and applied mechanics, and our knowledge about the cable dynamics is much enriched in the past few decades. This paper reviews the progress of cable dynamics, including cable's dynamic models, internally resonant dynamics, moving support induced cable dynamics, and complex excitation induced cable dynamics. And we also discuss the limitations of the present cable dynamics.

Key words:

cables|nonlinear modeling|resonant interaction|support/boundary excitations|multiple scale method

中图分类号: 

  • O326