摘要
作为悬索结构抗风和抗震设计的理论基础,研究了单跨悬索的单自由度非线性自由振动.考虑悬索结构的几何非线性和材料非线性,基于动力学理论建立了单跨悬索的单自由度非线性自由振动控制方程,采用L-P法求得了其自由振动近似解.结合算例讨论了集中荷载作用位置、振幅等因素对单跨悬索的单自由度非线性自由振动的影响.
In order to provide the theoretical basis for anti-wind and seismic research of cable structure, the single-freedom nonlinear free vibration of single-span cable was studied. Considering the effects of both geometric nonlinearity and material nonlinearity, the single-freedom nonlinear free vibration control equations of single-span cable were established based on dynamics theory. Then the equations were solved with L-P method. Finally, the effect of such factors as vibration amplitude and location of the concentrated load on the nonlinear vibration was discussed.
出处
《湘潭大学自然科学学报》
CAS
CSCD
北大核心
2012年第3期84-87,共4页
Natural Science Journal of Xiangtan University
基金
湖南省教育厅重大项目(湘财教指[2009]75号)
湖南文理学院2010年教改项目(JGYB0830)
湖南文理学院2012年教改项目(JGYB1220)
湖南省教育厅2012年教学改革研究项目(湘教通[2012]401号359项)
关键词
悬索结构
单自由度
几何非线性
材料非线性
自由振动
cable structure
single-freedom
geometric nonlinearity
material nonlinearity
free vibration
