On the free motions of a uniform elastic helicoidal bar

DOI10.1007/BF02337634zbMath0587.73076MaRDI QIDQ1072760

Dimitrios E. Panayotounakos

Publication date: 1985

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

natural frequenciesdecouplingtranscendental equationarc elementelastic circular helicoidal barfirst-order partial differential system of four (3\(\times 1)\)-vectorial equationsfree three-dimensional dynamic equilibriumgeneral integralharmonic motions

Mathematics Subject Classification ID

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

Related Items (1)

Analysis of free vibrations of helicoidal beams

Cites Work

• The differential equations of uniform skew-curved bars in harmonic motion
• The Dynamically Loaded Circular Beam on an Elastic Foundation
• The Shear Coefficient in Timoshenko’s Beam Theory
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