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两端水平激励斜拉索面内非线性振动响应

DOI: 10.13197/j.eeev.2014.06.122.suncs.016, PP. 122-126

Keywords: 斜拉索,非线性振动,水平激励,亚谐波共振,主共振

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Abstract:

为研究两端水平激励作用下斜拉索面内非线性振动,利用Galerkin方法得到斜拉索的离散运动方程.利用多尺度法得到亚谐波共振和主共振时面内一阶振动幅值的表达式.由方程的推导过程可知两端水平激励斜拉索在亚谐波共振时可等效为一端水平激励斜拉索,将上、下端激励幅值叠加后按一端激励计算;在主共振时则与一端水平激励有本质区别,不能按上述方式等效.算例分析结果较好地验证了该结论.

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