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非线性自振特性的研究对于矩形双层索网在风荷载作用下的响应分析具有十分重要的意义.研究了矩形双层索网的自由振动.在考虑温度变化的基础上,建立了矩形双层索网非线性振动控制方程,采用Galerkin原理及L-P法求出了矩形双层索网非线性振动的近似解,并得到了索网层间接触力的近似解.结合算例讨论分析了温度、线性强化、振幅等因素对矩形双层索网非线性振动的影响,为矩形双层索网的抗震设计提供了理论依据.算例表明,矩形双层索网固有频率随着温度的升高而减小,其振动具有较强的非线性,自振频率随着振幅发生变化,其非线性振动呈现“硬弹簧”特性,非线性自振频率高于线性频率,线性强化状态时的非线性振动自振频率低于在线性弹性状态时的非线性振动自振频率.
The research of nonlinear self-vibration is of great significance to the analysis of the response of rectangular double-layer cable net under wind loads. The free vibration of rectangular double-layer cable network is studied. Based on the change of temperature, The nonlinear vibration control equations of stratified cable networks are obtained by using the Galerkin principle and the LP method, and the approximate solutions of the nonlinear vibrations of the rectangular double-layered cable network are obtained, and the approximate solutions of the contact forces between the strands are obtained. , Linear reinforcement, amplitude and other factors on the nonlinear vibration of rectangular double-layer cable network provide a theoretical basis for the seismic design of rectangular double-layer cable network.Examples show that the natural frequency of rectangular double-layer cable network increases with temperature The nonlinear vibration has a “hard spring” characteristic. The nonlinear natural frequency is higher than the linear frequency. In the case of the linearly enhanced state The natural frequency of nonlinear vibration is lower than the natural frequency of nonlinear vibration when it is in linear elastic state.