The paper addresses a mathematical model describing the dynamic response of an elongated bridge supported by elastic pillars. The elastic system is considered as a multi-structure involving subdomains of different limit dimensions connected via junction regions. Analytical formulae have been derived to estimate eigenfrequencies in the low frequency range. The analytical findings for Bloch–Floquet waves in an infinite periodic structure are compared with the finite element numerical computations for an actual bridge structure of finite length. The asymptotic estimates obtained here have also been used as a design tool in problems of asymptotic optimization.

Asymptotics of eigenfrequencies in the dynamic response of elongated multi-structures / Brun, M; Giaccu, Gian Felice; Movchan, Ab; Movchan, Nv. - In: PROCEEDINGS - ROYAL SOCIETY. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES. - ISSN 1471-2946. - 468:2138(2012), pp. 378-394. [10.1098/rspa.2011.0415]

Asymptotics of eigenfrequencies in the dynamic response of elongated multi-structures

GIACCU, Gian Felice;
2012

Abstract

The paper addresses a mathematical model describing the dynamic response of an elongated bridge supported by elastic pillars. The elastic system is considered as a multi-structure involving subdomains of different limit dimensions connected via junction regions. Analytical formulae have been derived to estimate eigenfrequencies in the low frequency range. The analytical findings for Bloch–Floquet waves in an infinite periodic structure are compared with the finite element numerical computations for an actual bridge structure of finite length. The asymptotic estimates obtained here have also been used as a design tool in problems of asymptotic optimization.
Asymptotics of eigenfrequencies in the dynamic response of elongated multi-structures / Brun, M; Giaccu, Gian Felice; Movchan, Ab; Movchan, Nv. - In: PROCEEDINGS - ROYAL SOCIETY. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES. - ISSN 1471-2946. - 468:2138(2012), pp. 378-394. [10.1098/rspa.2011.0415]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11388/138030
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