The large displacements and dynamic stability of springs using helical finite elements

DOI10.1016/0020-7403(82)90047-9zbMath0519.73075OpenAlexW2082118289MaRDI QIDQ1054522

John E. Mottershead

Publication date: 1982

Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7403(82)90047-9

zbMATH Keywords

nonlinear wave propagationstatic stabilityconsistent geometric stiffness matriceslarge displacements of helixWittrick differential equations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Waves in solid mechanics (74J99)

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On the linearized disturbance dynamic equations for buckling and free vibration of cylindrical helical coil springs under combined compression and torsion

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