预应力自平衡索桁架的动力性能分析

预应力自平衡索桁架作为点支玻璃幕墙的支承体系有着广泛的应用，该文研究了这一结构形式的自由振动和强迫振动。考虑温度变化及几何非线性影响，采用连续化理论导出了点支式玻璃幕墙预应力自平衡索桁架支承体系非线性振动方程。通过Galerkin方法，将偏微分程转化为常微分方程，并采用L P法及KBM法对常微分方程进行了求解。结合工程实例分析了温度变化、振幅、外激励等因素对点支式玻璃幕墙预应力自平衡索桁架支承体系非线性振动的影响。结果表明，点支式玻璃幕墙预应力自平衡索桁架支承体系固有频率随着温度的升高而减小，其非线性振动

Dynamic Performance Analysis of Prestress Self balanced Cable Truss

As a new kind of supporting member, a prestress self balanced cable truss has been widely applied in point supported glass curtain walls. The free and forced vibration behaviors were analysed. Taking the temperature effect and geometric nonlinearity into consideration, the nonlinear vibration equation was derived with continua theory for prestress self balanced cable truss support system in point supported glass curtain wall. By the Galerkin method, the partial differential equation was transformed into ordinary differential equation and then solved with L P method and KBM method. With the case study, the effects of temperature, amplitude, and exterior excitation on the nonlinear vibration were discussed. And it was found that the frequency would decrease with increase of temperature and the nonlinear vibration showed the characteristics of hard spring.