One-dimensional theories of motion for beams

✍ Scribed by D. Gamby

• Publisher: Springer Netherlands
• Year: 1977
• Tongue: English
• Weight: 578 KB
• Volume: 7
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041728

✦ Synopsis

Using Gurtin's variational principle, a rational method for deducing the approximate one-dimensional theories of Medick from three-dimensional elasticity is presented.

By using suitable unknowns, matrix equations are obtained; these exhibit a hyperbolic structure.

RI~SUMI~

Dans le cadre des schrmatisations de Medick, on prrsente une mrthode permettant de drduire de la throrie tridimensionelle des throries approchres h une dimension de plus en plus fines. Aprrs un choix convenable des inconnues, on obtient les 6quations matricieUes du problrme qui mettent en 6vidence une structure de syst~me hyperbolique.