Wave propagation in a rod with an arbitrarily shaped outer boundary and a cylindrical cavity of arbitrary shape

DOI10.1121/1.391931zbMath0568.73029OpenAlexW1992067988MaRDI QIDQ3685299

Tatsuya Watanabe, Kosuke Nagaya

Publication date: 1985

Published in: The Journal of the Acoustical Society of America (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1121/1.391931

zbMATH Keywords

boundary conditionsphase velocitiesfrequency equationFourier expansion collocation methodarbitrary cross sectionarbitrarily shaped cylindrical cavitybar of arbitrary cross sectioncomplex cylindrical functionselliptical and hexagonal cross-section barsinfinitely long barinner and the outer arbitrarily shaped surfacesthreedimensional elasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Waves in solid mechanics (74J99)

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