【摘要】 基于大位移非线性弹性理论的广义变分原理 ,考虑了加劲梁轴向压缩应变能和剪切应变能的影响 ,建立了三跨自锚式悬索桥空间耦合自由振动的大位移不完全广义势能泛函 ,通过约束变分导出了自锚式悬索桥的竖向挠曲振动、横向挠曲振动、纵向振动及扭转振动的基础微分方程 ,为自锚式悬索桥的固有振动性状分析提供可靠的理论依据更多还原

【Abstract】 Based on the generalized potential energy variational principal of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of three span self anchored suspension bridge by considering the effect of axial compressive and shearing strain energy of stiffening girder. By constraint variation, the differential equations of vertical vibration, lateral vibration, longitudinal vibration and torsional vibration have been derived. It can provide theoretical basis for the analysis of free vibration of self anchored suspension bridge.更多还原