Exact analytical solution to the 3D Navier-Lame equation for a curved beam of constant curvature subject to arbitrary dynamic loading

DOI10.1016/j.euromechsol.2019.01.025zbMath1472.74132OpenAlexW2912332936WikidataQ128494306 ScholiaQ128494306MaRDI QIDQ2421965

Jenn-Terng Gau, Drew Mitchell

Publication date: 18 June 2019

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2019.01.025

zbMATH Keywords

displacement fieldmethod of separation of variableselastic wave propagationpulse loading

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Impact in solid mechanics (74M20) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (1)

Extremely large-amplitude dynamics of cantilevers under coupled base excitation

Cites Work

• On the validity of planar, thick curved beam models derived with respect to centroidal and neutral axes
• Wave propagation in mechanical waveguide with curved members using wave finite element solution
• A new model for calculating the transient displacement field within a linear elastic isotropic solid with a through hole under dynamic impact: a 3D model is developed and a 2D case study is examined
• ELASTIC WAVES IN A NATURALLY CURVED ROD
• Wave propagation in a naturally curved elastic rod

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