✦ LIBER ✦

An explicit representation of steady state response of a beam on an elastic foundation to moving harmonic line loads

✍ Scribed by Lu Sun

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 166 KB
Volume: 27
Category: Article
ISSN: 0363-9061
DOI: 10.1002/nag.263

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A closed‐form deflection response of a beam rest is presented in this paper using the integral transform method. The theory of linear partial differential equations is used to represent the deflection of beam subjected to a moving harmonic line load in integration form. The solution is finally carried out using the inverse Fourier transform. To evaluate the integration analytically, poles of the integrand are identified with the help of algebraic equation theory. Residue theorem is then utilized to represent the integration as a contour integral in the complex plane. Closed‐form deflections and numerical results are provided for different combinations of load frequency and velocity. Copyright © 2002 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

RESPONSE OF AN INFINITE TIMOSHENKO BEAM

RESPONSE OF AN INFINITE TIMOSHENKO BEAM ON A VISCOELASTIC FOUNDATION TO A HARMONIC MOVING LOAD

✍ Y.-H. CHEN; Y.-H. HUANG; C.-T. SHIH 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 355 KB

The dynamic sti!ness matrix of an in"nite Timoshenko beam on viscoelastic foundation to a harmonic moving load is established. This dynamic sti!ness matrix is essentially a function of the velocity and frequency of the harmonic moving load. The critical velocities and the resonant frequencies can be

DYNAMIC ANALYSIS OF BEAMS ON AN ELASTIC

DYNAMIC ANALYSIS OF BEAMS ON AN ELASTIC FOUNDATION SUBJECTED TO MOVING LOADS

✍ D. Thambiratnam; Y. Zhuge 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 310 KB

A simple procedure based on the finite element method has been developed for treating the dynamic analysis of beams on an elastic foundation subjected to moving point loads, where the foundation has been modelled by springs of variable stiffness. The effect of the speed of the moving load, the found

NON-STATIONARY PROBLEMS IN DYNAMICS OF A

NON-STATIONARY PROBLEMS IN DYNAMICS OF A STRING ON AN ELASTIC FOUNDATION SUBJECTED TO A MOVING LOAD

✍ S. Gavrilov 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 225 KB

The dynamics of an in®nite string on an elastic foundation subjected to a moving load is under investigation in this paper. The load is modelled by a moving concentrated force. Both analytical and numerical methods are used. Non-stationary problems are analyzed. In particular the wave process caused