DYNAMIC INSTABILITY REGIONS IN A DAMPED SYSTEM

✍ Scribed by I. SVENSSON

• Book ID: 102610189
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 288 KB
• Volume: 244
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3537

✦ Synopsis

The stability properties of a periodically loaded non-linear dynamic system are investigated and special attention is given to damping e!ects. Advantage is taken of the Floquet theory and the FE-approach is applied to a hinged beam where the damping is described by a standard material model and where even damping e!ects at the hinges are considered. Comparisons are made with experimental results. 2001 Academic Press 0022-460X/01/300779#15 $35.00/0 *u *x " *u *x !z *w *x # 1 2 *w *x . (3) Note that due to the Euler}Bernoulli assumption only the normal strain (3) is assumed to exist. With these de"nitions and in the absence of the body forces F G , equation (1) can be written as 4 * u *x !z * w *x # * w *x *w *x d< "! 4 uK u!zuK * w *x !z *w K *x u#z *w K *x