碳纤维矩形双层索网屋盖体系非线性自振研究

Nonlinear vibration feature of rectangular two-layer cable net roof system using carbon fiber cables

建立了碳纤维矩形双层索网屋盖体系的几何非线自振方程,求得了碳纤维矩形双层索网屋盖体系非线性自振的近似解及双层索网层间接触力的近似解.在把碳纤维矩形双层索网屋盖体系与钢丝矩形双层索网屋盖体系比较的基础上,讨论分析了温度、振幅、索网垂度等因素对矩形双层索网屋盖体系非线性自振及索网层间接触力的影响.经讨论分析可知,温度升高、索网垂度减小会使矩形双层索网非线性自振频率及层间接触力减小,振幅增大会使矩形双层索网非线性自振频率及层间接触力增大,碳纤维矩形双层索网非线性自振及层间接触力受温度的影响不大,钢丝矩形双层索网非线性自振及层间接触力却对温度的变化很敏感.

Geometrical nonlinear vibration equation of rectangular two-layer cable net roof system using carbon fiber cables is established, and approximate solutions of nonlinear vibration and touching forces between layers of rectangular two-layer cable net roof system using carbon fiber cables are given in this paper. On the basis of comparing rectangular two layer cable net roof system using carbon fiber cables with using steel cables, this paper discusses and analyzes the impact of temperature, amplitude, sag of cable net and other factors to the nonlinear vibration and touching forces between layers of rectangular two-layer cable net roof system. The temperature increment and cable net＇s sag decrease will make the nonlinear vibration frequency and touching forces between layers of rectangular two-layer cable net fall, and amplitude increment will make the nonlinear vibration frequency and touching forces between layers of rectangular two-layer cable net increase. Temperature change hasn＇t much impact on the nonlinear vibration frequency and touching forces between layers of rectangular two-layer cable net using carbon fiber cables. On the contrary, nonlinear vibration frequency and touching forces between layers of rectangular two-layer cable net using steel fiber cables are sensitive to the temperature change.