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首页> 外文会议>International Conference on Modern Engineering Solutions for the Industry >A new analytical method to calculate critical velocity for an infinite Bernoulli-Euler beam on a winkle-type elastic foundation subjected to a harmonic moving load
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A new analytical method to calculate critical velocity for an infinite Bernoulli-Euler beam on a winkle-type elastic foundation subjected to a harmonic moving load

机译：一种新的分析方法，以计算谐波型弹性基础的无限伯努利 - 欧拉梁的临界速度

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摘要

In this paper, critical velocity is investigated for an infinite Bernoulli-Euler (B-E) beam resting on a Winkler-type elastic foundation subjected to harmonic moving loads. The steady-state response of the beam is derived in the form of a single integral by using the Fourier transform method. Then the determination of the critical velocity of an infinite beam comes down to the existence of multiple real roots to an algebraic equation with real-coefficient of 4th degree. Then, an analytical expression of critical velocity can be derived by employing complete discrimination system for polynomials. Numerical calculations for the European high-speed rail show that there are at most two critical velocities for an infinite B-E beam for a given frequency of the moving load. In addition, the critical velocity for the B-E beam can infinitely increase with the increase in frequency of the moving load and the foundation stiffness. By comparing with other authors' results, the effectiveness of our analytical method for calculation of critical velocity for the infinite B-E beam is demonstrated.
机译：在本文中，研究了在经过谐波移动载荷的Winkler型弹性基础上搁置的无限伯努利 - 欧拉（B-E）梁的临界速度。光束的稳态响应是通过使用傅立叶变换方法的单一积分的形式导出。然后，确定无限梁的临界速度下降到具有具有第4度的实际系数的代数方程的存在多重真实根。然后，可以通过采用多项式的完整辨别系统来导出临界速度的分析表达。欧洲高速轨的数值计算表明，对于移动负载的给定频率，对于无限B-E梁存在大多数两个临界速度。另外，B-E梁的临界速度随着移动负载的频率和基础刚度的增加而无限地增加。通过与其他作者的结果进行比较，证明了我们对无限B-E光束的临界速度计算临界速度的分析方法的有效性。

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