摘要
文章研究了碳纤维材料正交索网的非线性固有振动;在考虑温度变化的基础上,建立了碳纤维材料正交索网几何变形的非线性振动控制方程,采用Galerkin原理及改进的L-P法求出了碳纤维材料正交索网非线性振动的近似解,并讨论分析了温度的改变量、振幅对碳纤维材料正交索网非线性固有振动的影响,得到的结论是:温度升高将使正交索网非线性自振频率降低,而振幅变大会使正交索网非线性自振频率增大。
The nonlinear natural vibration of orthogonal cable net using carbon fiber cables is studied in this paper. Meanwhile the nonlinear vibration governing equation of its geometric deformation is presented considering the temperature change. And the approximate solution of nonlinear vibration of orthogonal cable net is given using Galerkin principle and improved L-P method. Then factors affecting its nonlinear natural vibration, such as the amount of temperature change and amplitude, are discussed. At last conclusions are given that the temperature increment will make the nonlinear vibration frequency of orthogonal cable net decrease, but amplitude increment will make the nonlinear vibration frequency increase.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第4期554-558,603,共6页
Journal of Hefei University of Technology：Natural Science
基金
湖南省科技计划资助项目(2008FJ3067)
湖南"十一五"重点建设学科资助项目(湘教通[2006]180号)
湖南省普通高校青年骨干教师资助项目(湘教通[2007]256号)
关键词
碳纤维材料
正交索网
非线性
固有振动
carbon fiber cables
orthogonal cable net
nonlinearity
natural vibration
