On the lower-order theories of continua with application to incremental motions, stability and vibrations of rods

DOI10.1007/s00161-013-0324-7zbMath1341.74089OpenAlexW2062506978MaRDI QIDQ2630652

Publication date: 20 July 2016

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-013-0324-7

zbMATH Keywords

free vibrations uniqueness theorem elastic stability eigenvalue properties Rayleigh's quotient nonlinear rod theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (2)

Pointwise error estimate for a consistent beam theory ⋮ On a consistent rod theory for a linearized anisotropic elastic material: I. Asymptotic reduction method

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