摘要
在小挠度的基础上研究了一端固定、一端作周期运动的纤绳的面内振动,建立了纤绳的离散的参数振动方程,用多尺度法分析了纤绳发生不稳定振动的条件,并得到纤绳作稳态振动时的响应周期解.这些表达式揭示了激励振幅、予拉力、阻力比等对纤绳振动的影响.
Inplane nonlinear dynamics of a heavy elastic suspended cable are investigated. The lower end of the cable is fixed to the ground and the upper end is pinsupported and movable horizontally to simulate the bending motion of the stack due to vortex shedding. The parametrical vibration equation of the cable are obtained by considering the discretized models. By using the method of multiple scales the stability characteristies and the existence of periodic solutions of the cable are studied. It is found that excitation, pretersion, tilt angle and damping ration play roles in parametric and external resonaces.
出处
《纺织高校基础科学学报》
CAS
2003年第3期241-245,共5页
Basic Sciences Journal of Textile Universities
基金
江苏省省教委自然科学基金资助项目(KJB130001).
关键词
桅杆
纤绳
参数振动
共振
多尺度法
guyed mast
cable
parametric vibration
resonance
method of multiple scales
