On analytical solutions of vibrations of rods with variable cross sections

DOI10.1016/0307-904X(83)90134-8zbMath0549.73047MaRDI QIDQ800132

V. M. Raman

Publication date: 1983

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

analytical solutionssecond order differential equationcross-sections vary in axial directionLegendre, Hermite and Laugurre functionstransform equation of motion into form similar to one-dimensional Schrödinger equationtransforms Sturm-Liouville equation to particular form of equation of motion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Cites Work

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