Free vibration of cantilevered cylinders: Effects of cross-sections and cavities

DOI10.1007/BF01212632zbMath0869.73040MaRDI QIDQ1814895

Yanyan Li

Publication date: 20 August 1997

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

eigenvalue equationmode shapesthree-dimensional elasticity theoryRitz form of minimum energyupper-bound natural frequencies

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (2)

Free vibration analysis of a finite-length isotropic solid elliptic cylinder using exact three dimensional elasticity theory ⋮ Powerful FE approaches for Pochhammer's dispersion modelling

Cites Work

• On the three-dimensional vibrations of the cantilevered rectangular parallelepiped
• Vibrations of Free Hollow Circular Cylinders
• Vibrations of Solid Cylinders
• Free Vibration Studies on Stress-Free Three-Dimensional Elastic Solids
• Three-dimensional elasticity solutions to vibration of cantilevered skewed trapezoids
• Vibration of Stress-Free Hollow Cylinders of Arbitrary Cross Section
• The Shear Coefficient in Timoshenko’s Beam Theory

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