Results 21 to 30 of about 21,691 (213)
An exact dynamic stiffness matrix for a beam incorporating Rayleigh–Love and Timoshenko theories [PDF]
An exact dynamic stiffness matrix for a beam is developed by integrating the Rayleigh–Love theory for longitudinal vibration into the Timoshenko theory for bending vibration.
Ananthapuvirajah, A., Banerjee, J. R.
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In this paper, an energy flow model is developed to analyze transverse vibration including the effects of rotatory inertia as well as shear distortion, which are very important in the Timoshenko beam transversely vibrating in the medium-to-high frequency
Young-Ho Park, Suk-Yoon Hong
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Mode shapes of multiple cracked beam-like structures made of Functionally Graded Material (FGM) are analyzed by using the dynamic stiffness method.
Tran Van Lien +2 more
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A Screw Theory of Timoshenko Beams
In this work, the classic theory of Timoshenko beams is revisited using screw theory. The theory of screws is familiar from robotics and the theory of mechanisms. A key feature of the screw theory is that translations and rotations are treated on an equal footing and here this means that bending, torsion, and extensions can all be considered together ...
J. M. Selig, Xilun Ding
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Analytical solution of two-layer beam taking into account interlayer slip and shear deformation [PDF]
A mathematical model is proposed and its analytical solution derived for the analysis of the geometrically and materially linear two-layer beams with different material and geometric characteristics of an individual layer.
Goodman J. R. +8 more
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Dynamic behavior of a rotating delaminated composite beam including rotary inertia and shear deformation effects [PDF]
A finite element (FE) model is developed to study the free vibration of a rotating laminated composite beam with a single delamination. The rotary inertia and shear deformation effects, as well as the bending–extension, bending–twist and extension–twist ...
Della, Christian +1 more
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A modeling method for vibration analysis of cracked beam with arbitrary boundary condition
This paper establishes a cracked Timoshenko beams model to investigate the vibration behavior based on the ultraspherical polynomials. Timoshenko beam theory is applied to model the free vibration analysis of the cracked beam and the numerical results ...
Kwanghun Kim +4 more
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The present paper addresses developing the Dynamic Stiffness Method (DSM) for natural frequency analysis of functionally graded beam with piezoelectric patch based on the Timoshenko beam theory and power law of material grading.
Nguyen Tien Khiem +2 more
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On the valid frequency range of Timoshenko beam theory [PDF]
Abstract The frequency equation of Timoshenko beam theory factorises for hinged–hinged end conditions, leading to a first and second spectrum of natural frequencies; the latter is largely inaccurate and can be isolated and disregarded. For the majority of other end conditions, when the frequency equation does not factorise, one may think in terms of ...
Stephen, N.G., Puchegger, S.
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Timoshenko Beam Model for Lateral Vibration of Liquid-Phase Microcantilever-Based Sensors [PDF]
Dynamic-mode microcantilever-based devices are potentially well suited to biological and chemical sensing applications. However, when these applications involve liquid-phase detection, fluid-induced dissipative forces can significantly impair device ...
Beardslee, Luke A. +6 more
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