Homogeneous solutions and Saint-Venant problems for a naturally twisted rod

DOI10.1016/S0021-8928(96)00082-2zbMath0921.73069OpenAlexW2059887916MaRDI QIDQ1371085

A. N. Druz', N. A. Polyakov, Yury A. Ustinov

Publication date: 12 January 1998

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

Full work available at URL: https://doi.org/10.1016/s0021-8928(96)00082-2

zbMATH Keywords

variational problemsstiffness matrixthree-dimensional problemnon-negative operatorsboundary value problem in cross-section

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Related Items (5)

Long nonlinear waves in anisotropic cylinders ⋮ Nonlinear, three-dimensional beam theory for dynamic analysis ⋮ Unnamed Item ⋮ Shock waves in anisotropic cylinders ⋮ Characteristic behavior of prismatic anisotropic beam via generalized eigenvectors

Cites Work

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• Green's tensor for an elastic cylinder and its applications in the development of the Saint-Venant theory
• Bending, extension, and torsion of naturally twisted rods

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