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Dynamical Stress Distribution Analysis of a Non-uniform Cross-Section Beam under Moving Mass

机译:移动质量作用下非均匀截面梁的动应力分布分析

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摘要

One of the engineers concern in designing bridges and structures under moving load is the uniformity of stress distribution. In this paper the analysis of a variable cross-section beam subjected to a moving concentrated force and mass is investigated. Finite element method with cubic Hermitian interpolation functions is used to model the structure based on Euler-Bernoulli beam and Wilson-θ direct integration method is implemented to solve time dependent equations. Effects of cross-section area variation, boundary conditions, and moving mass inertia on the deflection, natural frequencies and longitudinal stresses of beam are investigated. Results indicates using a beam of parabolically varying thickness with constant mass can decrease maximum deflection and stresses along the beam while increasing natural frequencies of the beam. The effect of moving mass inertia of moving load is found to be significant at high velocity.
机译:工程师在移动荷载作用下设计桥梁和结构时关注的问题之一是应力分布的均匀性。在本文中,研究了在移动集中力和质量作用下的可变截面梁的分析。采用具有三次埃尔米特插值函数的有限元方法对基于Euler-Bernoulli梁的结构进行建模,并采用Wilson-θ直接积分法求解与时间有关的方程。研究了横截面积的变化,边界条件和运动质量惯性对梁的挠度,固有频率和纵向应力的影响。结果表明,使用抛物线形变化的厚度且质量恒定的梁可以减小梁的最大挠度和应力,同时增加梁的固有频率。发现运动负载的运动质量惯性的影响在高速下很明显。

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