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Timoshenko Beam Elements
The influence of shear deformations on the deformation states of beams and plates has been neglected so far, since, concerning slender devices, it is...
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The tale of shear coefficients in Timoshenko–Ehrenfest beam theory: 130 years of progress
The first-order shear deformable beam theory should be named after Stephen Timoshenko and Paul Ehrenfest in recognition of the significant...
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Shape sensing modeling of Timoshenko beam based on the strain gradient theory and iFEM method
The geometrically nonlinear deformation of the large scale structure seriously endangers the structural system safety. Thus, it is of great...
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Dynamic Modeling and Analysis of Centrifugally Stiffened Proportionally Damped Timoshenko Beam
ObjectivesTo study the effect of proportional dam** on the dynamic response of centrifugally stiffened Timoshenko beam.
MethodsA novel method has...
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Dynamic Analysis of Coupled Axial-Bending Wave Propagation in a Cracked Timoshenko Beam Using Spectral Finite-Element Method
PurposeThe coupling between axial, transverse shear, and bending deformations is significant for beam-like lattice structures in structural mechanics...
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Timoshenko Beams
The natural frequencies and mode shapesBeams, Euler-Bernoullimode shape of Timoshenko beams of constantSingle degree-of-freedom systemconstant force...
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Free Vibration Frequencies of a Variable Cross-Section Timoshenko-Ehrenfest Beam using Fourier-p Element
An efficient method has been developed to analyze the natural frequencies of a Timoshenko-Ehrenfest beam with variable cross-sections undergoing free...
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Phenomenon of sharp change and concise solutions for Timoshenko beam based on modified couple stress theory
The functional relations between the modified couple stress theory (MCST) and the classical theory (CT) are derived and analyzed in detail for...
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Static, Dynamic and Stability Analysis of Tall Buildings by the Transfer Matrix Method Using Replacement Timoshenko Beam
In this study, an approach is proposed for the analysis of structures that can be represented by the Timoshenko beam model. In this study, the...
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Dynamic behavior analysis of a spinning Timoshenko beam-rigid disk with nonlinear elastic boundaries under axial loading
In this study, an attempt is made to model and investigate the dynamic behavior of the spinning Timoshenko beam-disk with nonlinear elastic...
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Combined influence of rotary inertia and shear coefficient on flexural frequencies of Timoshenko beam: numerical experiments
When dealing with the computation of bending frequencies for Timoshenko beams, it is common practice to assume a constant shear coefficient for a...
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Iterative method for large-scale Timoshenko beam models assessed on commercial-grade paperboard
Large-scale structural simulations based on micro-mechanical models of paper products require extensive numerical resources and time. In such models,...
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Vibration of a Timoshenko Beam: Clarifications on Second Spectrum and Fourth-Order Single Partial Differential Equation
PurposeThis paper investigates into the existence of the second frequency spectrum of an uniform Timoshenko beam, which has been debated in the...
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A unified theoretical framework of piezoelectric energy harvesters: Euler–Bernoulli, Timoshenko and Reddy beam models with the high-order electric field assumption
A generalized framework for the electromechanical model of piezoelectric energy harvesters is presented with high-order electric field assumption....
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Free and steady-state forced vibrations of a base-excited nonuniform cantilever Timoshenko beam with internal dam**
Base-excited nonuniform cantilever beams play an important role in the fields of fatigue tests and piezoelectric energy harvesting. In these two...
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Generalized foundation Timoshenko beam and its calculating methods
Due to the discrepancy between slope of deflection curve and rotation due to bending defined in Timoshenko beam theory, the distributed moment...
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Free Vibration of a Timoshenko Beam with Arbitrary Nonuniformities, Discontinuities and Constraints
Natural frequencies and mode shapes of a Timoshenko beam with arbitrary non-uniformities, discontinuities, discrete spring/mass constraints and...
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Vibration Control of a Timoshenko Cantilever Beam with Varying Length
This paper addresses the vibration control of a Cartesian palletizer consisting of a trolley and a robotic arm, wherein the robotic arm is modeled as...
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Vibrations of Timoshenko Double-Beam Systems with Arbitrary Intermediate Supports and Axial Loads
Although the double-beam systems are widely utilized, few investigations have been conducted on the general form of the double-beam system,...
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The Timoshenko Beam
TheBeam Timoshenko beam Euler-Bernoulli beam theoryBeam theoryEuler-Bernoulli is based on the fundamental hypothesis that the cross sections remain...