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首页> 外文期刊>International journal of structural stability and dynamics >NONLINEAR DYNAMIC MODELING, INSTABILITY AND POST-BUCKLING ANALYSIS OF A ROTATING BEAM WITH A FLEXIBLE SUPPORT
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NONLINEAR DYNAMIC MODELING, INSTABILITY AND POST-BUCKLING ANALYSIS OF A ROTATING BEAM WITH A FLEXIBLE SUPPORT

机译：柔性支撑旋转梁的非线性动力学建模，不稳定性和后屈曲分析

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摘要

By employing the modeling method of flexible multi-body systems, the linear and nonlinear dynamic models of a rotating Euler-Bernoulli beam with a flexible support are established, in which the deformation is coupled with the overall motion resulting from the flexibility of the support. The flexural vibration equation in the linear coupling model can be linearly transformed into the classical model of a rotating beam with a flexible support. The nonlinear model is applicable to rotating beams with different flexible supports. Based on the nonlinear model, the global bifurcation behavior of the rotating beam with supports of different stiffnesses is investigated by applying assumed modes method, and the results including the critical rotary speeds, the diversely buckled-equilibria, and the bifurcation type are verified by the shooting method.
机译：通过采用柔性多体系统的建模方法，建立了带有柔性支撑的旋转欧拉-伯努利梁的线性和非线性动力学模型，其中，变形与支撑的柔性导致的整体运动有关。线性耦合模型中的挠曲振动方程可以线性转换为带有柔性支撑的旋转梁的经典模型。非线性模型适用于具有不同柔性支撑的旋转梁。在非线性模型的基础上，采用假设模式方法研究了具有不同刚度支撑的旋转梁的整体分叉行为，并通过验证了临界旋转速度，屈曲均衡和分叉类型等结果。射击方法。

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