Exact solutions for free vibrations of axially inhomogeneous Timoshenko beams with variable cross section
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Publication:332712
DOI10.1007/s00707-016-1658-6zbMath1348.74161OpenAlexW2404108343MaRDI QIDQ332712
Yih-Hsing Pao, Jiang-hong Yuan, Wei-qiu Chen
Publication date: 9 November 2016
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-016-1658-6
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Explicit solutions of dynamical problems in solid mechanics (74H05)
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Cites Work
- Unnamed Item
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- A general method for analyzing moderately large deflections of a non-uniform beam: an infinite Bernoulli-Euler-von Kármán beam on a nonlinear elastic foundation
- Free vibration characteristics of a functionally graded beam by finite element method
- Semi-analytical elasticity solutions for bi-directional functionally graded beams
- Dynamic modal characteristics of transverse vibrations of cantilevers of parabolic thickness
- Non-uniform beams and stiff strings isospectral to axially loaded uniform beams and piano strings
- The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions
- Vibration Modes of Centrifugally Stiffened Beams
- Transverse vibrations of tapered beams
- Vibration of non-uniform rods and beams
- Vibration analysis of timoshenko beams with non-homogeneity and varying cross-section
- Eigenvalues of Inhomogeneous Structures
- Bending Vibrations of a Class of Rotating Beams with Hypergeometric Solutions
- Exact Vibration Solutions for Nonuniform Timoshenko Beams with Attachments
- DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
- Generalized Hypergeometric Function Solutions on the Transverse Vibration of a Class of Nonuniform Beams
- Thickness-Shear and Flexural Vibrations of a Circular Disk
- Apparently first closed-form solution for vibrating inhomogeneous beams
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