摘要
悬索结构按对称振型振动时索力将发生变化，因此用单项正弦函数来描述对称振型是相当不精确的，尤其对前几阶振型。本文用多项正弦函数来逼近振型函数，并用伽辽金法求解振型与频率。为实际应用，按上述解给出了简化计算公式。为了证实上述解的精确性，将计算结果与连续化的超越函数解、非线性有限元的切线刚度法进行了数值比较。最后对悬索结构的动力特征进行了讨论，并给出了几个有用的结论。
The cable force varies with the suspended cable vibrating at its symmetric modes,hence it is not accurate enough to adopt a single sinusoidal function to describe its modes,espe-cially in the first few modes.In this paper a series of sinusoidal functions are used for approachingto the vibration mode function,and the modes and frequencies of cable are solved by Garlerkinmethod.For practical purpose a simplified formula of the above solution is provided.To demon-strate the accuracy of the proposed solution,a numerical comparison is carried out between the re-sults from proposed method,the continuous transcendental equation method and the non-linear fi-nite element tangent stiffness method.Finally,the dynamic characteristies of the cable are dis-cussed and some useful conclusions are given.
出处
《建筑科学》
1994年第4期10-16,共7页
Building Science
