Vibration Analysis of Moving Forces Action on an Elastic Foundation Bernoulli-Euler Beam

移動力作用在彈性基底的柏努力－歐拉樑之振動分析

楊哲維(Jer-Weir Yang)

《建國科大學報》 25卷1期 (2005/10) Pp. 17-36

https://doi.org/10.6995/JCTU.200510.0017

摘要

火車行經地面可被模擬成一外力在一無限長的彈性基底樑上移動。本文即是探討柏努力－歐拉樑受這移動外力作用下的振動分析；並考慮樑的流體承載與彈性基礎的反彈力效應。統御方程式是藉由符立葉(Fourier)從時域轉換到波數域，以利探討振動波在移動外力的速度、彈性基底的勁度、流體承載的效應、點或線等不同作用力的效應以及高、低頻振盪力等關鍵參數影響下的結果，最後亦比較出彈性週期支撐如何去近似彈性基底樑的特性。

關鍵字

移動力 ； 彈性基底 ； 柏努力－歐拉樑

並列摘要

A train moving on the ground can be modified as moving forces acting on abeam with elastic foundation. This paper is concerned with the vibration responses of an infinite, fluid-loaded, elastic foundation of Bernoulli-Euler beam under the convected forces. The formulation of equation is developed by taking account of the whole structure in a wavenumber domain through the Fourier transform and distinguishes itself from the space-harmonic analysis. The effects of convected loading speed, elastic foundation stiffness, fluid loading and a point or line force excitation by high frequency on a Bernoulli-Euler beam are discussed. Furthermore, the behaviors of a periodically spring-supported beam how to approximate the beam on the elastic foundation are also illustrated.

並列關鍵字

Moving forces ； Elastic foundation ； Bernoulli-Euler beam