A theory for transverse vibrations of the Timoshenko beam

DOI10.1016/0021-8928(93)90036-LzbMath0811.73035OpenAlexW2051022579MaRDI QIDQ1316725

V. Pereyra

Publication date: 10 April 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(93)90036-l

zbMATH Keywords

transverse shear deformationrotational inertiafourth order PDEhigh-frequency modelow- frequency mode

Mathematics Subject Classification ID

Related Items (24)

Issues related to the second spectrum, Ostrogradsky's energy and the stabilization of Timoshenko-Ehrenfest-type systems ⋮ On the whole spectrum of Timoshenko beams. II: Further applications ⋮ On the whole spectrum of Timoshenko beams. I: A theoretical revisitation ⋮ A new locking-free finite element method based on more consistent version of Mindlin plate equation ⋮ Impact of the damaging consequences of the second spectrum on the stabilization of nonlinear Timoshenko systems ⋮ Existence of second spectrums of Timoshenko beam and Mindlin-Herrmann rod theories on the basis of atomistic studies ⋮ An inverse inequality for a Bresse-Timoshenko system without second spectrum of frequency ⋮ Asymptotic behavior of weakly dissipative Bresse‐Timoshenko system on influence of the second spectrum of frequency ⋮ Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds ⋮ Timoshenko beam theory: a perspective based on the wave-mechanics approach ⋮ A method for selection of structural theories for low to high frequency vibration analyses ⋮ Shear vibration modes of granular structures: Continuous and discrete approaches ⋮ Nonlocal Timoshenko simply supported beam: Second spectrum and modes ⋮ A new scenario for stability of nonlinear Bresse‐Timoshenko type systems with time dependent delay ⋮ Graphical representation of Timoshenko beam modes for clamped-clamped boundary conditions at high frequency: beyond transverse deflection ⋮ Energy decay for damped shear beam model and new facts related to the classical Timoshenko system ⋮ Elastic waves in Timoshenko beams: the ‘lost and found’ of an eigenmode ⋮ On the nature of dissipative Timoshenko systems at light of the second spectrum of frequency ⋮ A new class of interdependent shape polynomials for the FE dynamic analysis of Mindlin plate Timoshenko beam ⋮ The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency ⋮ Elastic and viscoelastic foundations: a review on linear and nonlinear vibration modeling and applications ⋮ Stabilization of Timoshenko-Ehrenfest type systems ⋮ Thermoelastic Timoshenko system free of second spectrum ⋮ Reliable analysis of transverse vibrations of Timoshenko-Mindlin beams with respect to uncertain shear correction factor

Cites Work

• Singular Lagrangians with higher derivatives
• On Field Theories with Non-Localized Action
• THE EFFECTS OF SHEAR FLEXIBILITY AND ROTATORY INERTIA ON THE BENDING VIBRATIONS OF BEAMS
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