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Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source
Doklady Physics ( IF 0.8 ) Pub Date : 2020-05-07 , DOI: 10.1134/s102833582002007x
N. F. Morozov , D. A. Indeitsev , A. V. Lukin , I. A. Popov , O. V. Privalova , L. V. Shtukin

Abstract

In this work, the problem of the propagation of a deflection wave in a Bernoulli–Euler beam during motion of the thermal source is solved, and the influence of the thermal bending moment and longitudinal force is analyzed. It has been established that the concentrated bending moment moving together with the heated region boundary determines the mode of the deflection wave, but cannot lead to a significant increase in its amplitude. It is shown that the average longitudinal compressive force increases linearly with time during uniform motion of the heating source. For the initial parameters, such as the source motion velocity and the temperature, the values enabling a loss of stability and a significant increase in deflection have been found.


中文翻译:

移动热源作用下伯努利-欧拉梁的稳定性

摘要

在这项工作中,解决了热源运动过程中伯努利-欧拉梁中偏转波的传播问题,并分析了热弯矩和纵向力的影响。已经确定的是,集中的弯矩与受热区域边界一起移动决定了偏转波的模式,但不能导致其振幅显着增加。结果表明,在热源均匀运动过程中,平均纵向压缩力随时间线性增加。对于初始参数(例如源运动速度和温度),已经找到了使稳定性损失和挠度显着增加的值。
更新日期:2020-05-07
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