The beam equation as a limit of a 1-D nonlinear von Kármán model

✍ Scribed by G. Perla Menzala; E. Zuazua

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 273 KB
• Volume: 12
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(98)00125-6

✦ Synopsis

We prove that the one-dimensional von K~rm~n system of equations describing the planar motion of a uniform prismatic beam of length L approaches (weakly) to a nonlocal beam equation of Timoshenko's type as a suitable parameter tends to zero. (~