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论述了一种抑制载重绳索参数激励横向振动的简便方法 .假设绳索底端的质量受到一个垂直简谐激励并忽略载重绳索高阶振型的影响 ,载重绳索的运动方程可以用一个带有立方非线性项的Mathieu方程来描述 .根据Mathieu方程的有关理论 ,在载重绳索系统中 ,当索端质量垂直振动的频率接近绳索横向振动固有频率 2倍时 ,一旦索端质量垂直振动的幅度超过某个临界数值时 ,绳索将产生参数共振 .为了避免这种现象 ,建议在索端质量上加装一个减振器以削减索端质量的垂直振动 ,进而抑制绳索的横向振动 .实验验证了该减振方案的有效性 .
A simple method to restrain the transverse vibration induced by the parameters of the load rope is presented.It is assumed that the mass of the bottom of the rope is affected by a vertical simple harmonic excitation and ignoring the high modes of the load rope.The motion equation of the load rope can be expressed by a cubic nonlinear term Mathieu equation.According to the related theory of Mathieu equation, when the frequency of cable vertical mass vibration is close to twice the natural frequency of transverse vibration of rope in the load-bearing rope system, once the amplitude of cable vertical vibration exceeds a certain critical value , The rope will produce parametric resonance.To avoid this kind of phenomenon, it is suggested to add a damper on the cable end to reduce the vertical vibration of the cable end, so as to restrain the lateral vibration of the cable.Experiments show the effectiveness of the damping scheme Sex.