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Flexural–Torsional Free Vibration Analysis of a Double-Cantilever Structure

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This article is published in Journal of Vibration and Acoustics.The article was published on 2022-06-01. It has received 4 citations till now. The article focuses on the topics: Cantilever.

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Citations
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Journal ArticleDOI

Coupled flexural-torsional forced vibration analysis of a piezoelectrically-actuated double-cantilever structure

TL;DR: In this paper , the authors investigated the forced coupled flexural-torsional vibration of a piezoelectrically-actuated double-cantilever structure and the time response to the forced vibrations of the structure using the Galerkin approximation method.
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Traveling and standing flexural waves in the micro-beam based on the fraction order nonlocal strain gradient theory

TL;DR: In this paper , the authors derived the governing equations and boundary conditions with consideration of both the nonlocal effects and the strain gradient effects and found that both effects have opposite influences on the wave motion and vibration behavior.
References
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Journal ArticleDOI

A new approach for free vibration of axially functionally graded beams with non-uniform cross-section

TL;DR: In this article, a simple approach is presented to solve natural frequencies of free vibration of axially functionally graded beams with non-uniform cross-section for various end supports including simply supported, clamped, and free ends.
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Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation

TL;DR: In this article, a third order zigzag theory based model for layered functionally graded beams in conjunction with the modified rule of mixtures (MROM) for effective modulus of elasticity is validated through experiments for static and free vibration response.
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Vibration of a variable cross-section beam

TL;DR: In this paper, the governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width, and analytical solutions of the vibration of the beam are obtained for three different types of boundary conditions associated with simply supported, clamped and free ends.
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Analysis of free and forced vibration of a cracked cantilever beam

TL;DR: In this article, free and forced vibration analysis of a cracked beam were performed in order to identify the crack in a cantilever beam, and the results suggest that free vibration analysis provides suitable information for the detection of single and two cracks, whereas forced vibration can detect only the single crack condition.
Journal ArticleDOI

Torsional frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope

TL;DR: In this article, the authors extended the analysis of Sader to the related problem of torsional vibrations, and also considered the special case where the cantilever is excited by a thermal driving force.