Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 468, Issue 2138, Pages 378-394Publisher
ROYAL SOC
DOI: 10.1098/rspa.2011.0415
Keywords
elastic waves; multi-structure; dispersion properties; quasi-periodic Green's function; structural optimization
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Funding
- Regione Autonoma Sardegna
- University of Liverpool
- Italian Ministry of University
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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.
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