【摘要】 根据Hamilton原理,推导了考虑弯曲刚度的斜拉索三维非线性动力学方程,利用边界条件约化为二维系统,然后运用多尺度法分析了斜拉索可能的内共振模式,并运用数值方法研究了弯曲刚度对内共振的影响.结果表明:弯曲刚度使斜拉索固有频率变大,从而使斜拉索发生内共振的条件向左偏移,导致了斜拉索内共振的幅值和拍频都变大.更多还原

【Abstract】 The influence of bending rigidity on the internal response of inclined cable was studied.The three dimensional nonlinear dynamical equations of the inclined cable were deduced in Hamiltonian principle,the internal response pattern of the inclined cable was analyzed in multi-scale method,and the influence of bending rigidity on the internal response was studied by applying numerical method.The result indicated that the internal response condition of the inclined cable would shift left,which resulted in the enhancement of the internal response amplitude and the internal response pat frequency of the inclined cable,for the influence on the natural frequency was caused by bending rigidity.It will be significant for further research on the inclined cable.更多还原