Transient response in flexure to general uni-directional loads of variable cross-section beam with concentrated tip inertias immersed in a fluid

DOI10.1016/0022-460X(85)90374-8zbMath0585.73099OpenAlexW2033041842MaRDI QIDQ3710052

Kosuke Nagaya

Publication date: 1985

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(85)90374-8

zbMATH Keywords

transfer matrix methodflexureequation of motionFourier seriesLaplace transform methoddisplacementbending momentresidue theoremvariable cross sectiontransient responseshearing forcebending slopeeffects of continuous mass and rigidityelastodynamic theorygeneral unidirectional dynamic loads of beamsLaplace transform inversion integrationmapped onto the complex domainrelated to each other at the boundariessmall uniform thickness segmentssolutions of each set of adjoining segmentstip inertias

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

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