赵跃宇, 周海兵, 金 波, 刘伟长. 弯曲刚度对斜拉索非线性固有频率的影响[J]. 工程力学, 2008, 25(1): 196-202.
引用本文: 赵跃宇, 周海兵, 金 波, 刘伟长. 弯曲刚度对斜拉索非线性固有频率的影响[J]. 工程力学, 2008, 25(1): 196-202.
ZHAO Yue-yu, ZHOU Hai-bing, JIN Bo, LIU Wei-chang. INFLUENCE OF BENDING RIGIDITY ON NONLINEAR NATURAL FREQUENCY OF INCLINED CABLE[J]. Engineering Mechanics, 2008, 25(1): 196-202.
Citation: ZHAO Yue-yu, ZHOU Hai-bing, JIN Bo, LIU Wei-chang. INFLUENCE OF BENDING RIGIDITY ON NONLINEAR NATURAL FREQUENCY OF INCLINED CABLE[J]. Engineering Mechanics, 2008, 25(1): 196-202.

弯曲刚度对斜拉索非线性固有频率的影响

INFLUENCE OF BENDING RIGIDITY ON NONLINEAR NATURAL FREQUENCY OF INCLINED CABLE

  • 摘要: 考虑斜拉索的弯曲刚度、垂度及几何非线性,利用Hamilton变分原理推导了斜拉索的三维非线性动力学方程。研究了斜拉索弯曲刚度对面内、面外的一阶及高阶固有频率的影响,并分析了斜拉索长度和初张力等参数对固有频率的影响。结果表明:弯曲刚度对面外固有频率的影响大于面内;随着斜拉索的长度和初张力的增加,弯曲刚度对面外固有频率的影响递减,对面内固有频率的影响呈钟罩型变化;弯曲刚度对固有频率的影响随着振型阶数的增加而变大。

     

    Abstract: The influence of bending rigidity on the nonlinear natural frequency of inclined cable is studied. The three dimensional nonlinear dynamical equations of inclined cable are formulated by Hamiltonian principle. And the influence of bending rigidity, sagging and geometric nonlinearity on inclined cable are considered during the deduction. As a result, the influence of bending rigidity is more considerable on in-plane natural frequency of inclined cable than that on out-of-plane. When the length and initial tension of inclined cable are increased, the influence of bending rigidity to out-of-plane natural frequency is degressive and to in-plane natural frequency is campanulate. And at the same time, as the order of modal increasing, the influence of bending rigidity on the natural frequency is increased as well.

     

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