Wave localization in randomly disordered nearly periodic long continuous beams

✍ Scribed by S.T. Ariaratnam; W.-C. Xie

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 622 KB
• Volume: 181
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0122

✦ Synopsis

In this paper, wave localization of a long continuous beam over several supports is studied. The localization factor is related to the larger of the two Lyapunov exponents associated with a product of 2 × 2 random wave transfer matrices. By using a theorem, due to Furstenberg, on the asymptotic properties of a product of independent and identically distributed random matrices, the localization factors are calculated by a combination of analytical and numerical simulation methods.