WAVE PROPAGATION IN AND VIBRATION OF A TRAVELLING BEAM WITH AND WITHOUT NON-LINEAR EFFECTS, PART II: FORCED VIBRATION

✍ Scribed by G. CHAKRABORTY; A.K. MALLIK

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 176 KB
• Volume: 236
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.2972

✦ Synopsis

The wave propagation in a simply supported travelling beam, studied in Part I of this paper, has been used to derive the forced responses. Based upon the wave-propagation principles, a simple method for constructing the closed-form transfer function of such a beam has been presented. The use of this transfer function o!ers an easy alternative to the usual modal analysis for obtaining the steady-state harmonic response. The e!ects of non-linearities during the steady-state oscillation, maintained by a non-resonant hard harmonic excitation, have also been studied. The present method, when compared to the conventional Galerkin's technique, requires much less computational e!ort.

2000 Academic Press 0022-460X/00/370291#15 $35.00/0

with the boundary conditions w(0, )"w(1, )"0 and *w(0, ) *x " *w(1, ) *x "0.