椭圆平面双曲抛物面碳纤维索网的非线性振动

Nonlinear Vibration of Elliptic Hyperbolic Net Using Carbon Fiber Reinforced Polymer

由于椭圆平面双曲抛物面碳纤维索网非线性振动是其抗震设计的基础,在考虑温度变化的基础上,建立了椭圆平面双曲抛物面碳纤维索网的非线性振动控制方程,采用Galerk in原理及L-P法求出了其非线性振动的近似解析解.在把碳纤维索网与钢丝索网比较的基础上,分析了温度、振幅、索网垂度等因素对其非线性振动的影响.结果表明,温度升高将使索网非线性自振频率降低,振幅和索网垂度增大会使索网非线性自振频率增大.

As the study of nonlinear vibration of elliptic hypebolic net using carbon fiber reinforced polymer is the base of its seismic design,the nonlinear vibration governing equation was presented on the basis of consideration of temperature changing.And the approximate solution to nonlinear vibration was given by use of the Galerkin principle and Improved L-P method.Then the factors that affects its nonlinear vibration,such as the amount of temperature changing,amplitude,as well as vector height were discussed with the comparison between cable and carbon fiber reinforced polymer.The temperature increment makes the nonlinear vibration frequency of cable structure fall.On the contrary,amplitude and vector height increment makes the nonlinear vibration frequency increase.Such are the conclusions that this paper makes.