On Standard Eigenvalues of Variable-Coefficient Heat and Rod Equations

DOI10.1115/1.3176035zbMath0685.73056OpenAlexW2036318053MaRDI QIDQ4203898

H. P. W. Gottlieb

Publication date: 1989

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3176035

zbMATH Keywords

continuous caseone-dimensional heat equationcorrespond to a four-thirds power law dependence on coordinatestandard harmonic eigenvalue sequencestepped case

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermodynamics in solid mechanics (74A15) Ordinary differential operators (34L99)

Related Items (2)

Application of the Liouville-Green transformation to free vibrations of non-homogenous rectangular membranes ⋮ A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients

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