On the Control of Dissipative Viscoelastic Timoshenko Beams

Muhammad I. Mustafa

doi:10.1007/s00009-020-01680-7

Free vibration analysis of rotating composite Timoshenko beams with bending-torsion couplings

Meccanica ◽

10.1007/s11012-021-01323-5 ◽

2021 ◽

Author(s):

Hesheng Han ◽

Dengqing Cao ◽

Lun Liu ◽

Jingbo Gao ◽

Youxia Li

Keyword(s):

Free Vibration ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Timoshenko Beams

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Dynamic modeling and analysis of the PZT-bonded composite Timoshenko beams: Spectral element method

Journal of Sound and Vibration ◽

10.1016/j.jsv.2012.06.020 ◽

2013 ◽

Vol 332 (6) ◽

pp. 1585-1609 ◽

Cited By ~ 32

Author(s):

Usik Lee ◽

Daehwan Kim ◽

Ilwook Park

Keyword(s):

Dynamic Modeling ◽

Spectral Element Method ◽

Spectral Element ◽

Timoshenko Beams ◽

Modeling And Analysis ◽

Bonded Composite ◽

Element Method

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Exact buckling solution for two-layer Timoshenko beams with interlayer slip

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2011.09.020 ◽

2012 ◽

Vol 49 (1) ◽

pp. 143-150 ◽

Cited By ~ 26

Author(s):

Philippe Le Grognec ◽

Quang-Huy Nguyen ◽

Mohammed Hjiaj

Keyword(s):

Timoshenko Beams ◽

Interlayer Slip

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Fundamental frequency for large amplitude vibrations of uniform Timoshenko beams with central point concentrated mass using coupled displacement field method

Journal of Sound and Vibration ◽

10.1016/j.jsv.2006.05.014 ◽

2006 ◽

Vol 298 (1-2) ◽

pp. 221-232 ◽

Cited By ~ 20

Author(s):

G. Venkateswara Rao ◽

K. Meera Saheb ◽

G. Ranga Janardhan

Keyword(s):

Fundamental Frequency ◽

Displacement Field ◽

Large Amplitude ◽

Field Method ◽

Central Point ◽

Timoshenko Beams ◽

Concentrated Mass ◽

Large Amplitude Vibrations

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Element-by-Element Post-Processing of Discontinuous Galerkin Methods for Timoshenko Beams

Journal of Scientific Computing ◽

10.1007/s10915-005-9057-5 ◽

2006 ◽

Vol 27 (1-3) ◽

pp. 177-187 ◽

Cited By ~ 7

Author(s):

Fatih Celiker ◽

Bernardo Cockburn

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Timoshenko Beams ◽

Post Processing

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Effect of Dynamic Soft Elasticity on Vibration of Embedded Nematic Elastomer Timoshenko Beams

International Journal of Applied Mechanics ◽

10.1142/s1758825118500588 ◽

2018 ◽

Vol 10 (05) ◽

pp. 1850058 ◽

Cited By ~ 1

Author(s):

Dong Zhao ◽

Ying Liu

Keyword(s):

Low Frequency ◽

Beam Theory ◽

Timoshenko Beams ◽

Analysis Method ◽

Anisotropic Parameter ◽

Nematic Elastomer ◽

Dissipation Mechanism ◽

Viscous Media ◽

Complex Modal Analysis ◽

Soft Elasticity

This paper addresses the transverse vibration of a nematic elastomer (NE) beam embedded in soft viscoelastic surroundings with the aim to clarify a new dissipation mechanism caused by dynamic soft elasticity of this soft material. Based on the viscoelasticity theory of NEs in low-frequency limit and the Timoshenko beam theory, the governing equation of motion is derived by using the Hamilton principle and energy method, and is solved by the complex modal analysis method. The dependence of vibration property on the intrinsic parameters of NEs (director rotation time, rubber relaxation time, anisotropic parameter) and foundation (spring, shear and damping constants) are discussed in detail. The results show that dynamic soft elasticity leads to anomalous anisotropy of energy transfer and attenuation. The relative stiffer foundation would restraint the rubber dissipation of viscoelastic beams, but has less influence on the director rotation dissipation, which is particular for NE beams. This study would provide a useful guidance in the dynamic design of NE apparatus embedded in soft viscous media.

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Shear deflections of tapered Timoshenko beams

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2004.05.003 ◽

2004 ◽

Vol 46 (5) ◽

pp. 783-805 ◽

Cited By ~ 6

Author(s):

S. Maalek

Keyword(s):

Timoshenko Beams

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Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams

Shock and Vibration ◽

10.1155/2005/824616 ◽

2005 ◽

Vol 12 (6) ◽

pp. 425-434 ◽

Cited By ~ 6

Author(s):

Menglin Lou ◽

Qiuhua Duan ◽

Genda Chen

Keyword(s):

Perturbation Method ◽

Dynamic Characteristics ◽

Timoshenko Beam ◽

Natural Frequencies ◽

Solution Process ◽

Equation Of Motion ◽

Timoshenko Beams ◽

Algebraic Equations ◽

Nonlinear Algebraic Equations ◽

Shear Distortion

Timoshenko beams have been widely used in structural and mechanical systems. Under dynamic loading, the analytical solution of a Timoshenko beam is often difficult to obtain due to the complexity involved in the equation of motion. In this paper, a modal perturbation method is introduced to approximately determine the dynamic characteristics of a Timoshenko beam. In this approach, the differential equation of motion describing the dynamic behavior of the Timoshenko beam can be transformed into a set of nonlinear algebraic equations. Therefore, the solution process can be simplified significantly for the Timoshenko beam with arbitrary boundaries. Several examples are given to illustrate the application of the proposed method. Numerical results have shown that the modal perturbation method is effective in determining the modal characteristics of Timoshenko beams with high accuracy. The effects of shear distortion and moment of inertia on the natural frequencies of Timoshenko beams are discussed in detail.

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