Thermally induced vibrations of beam structures

Manolis, George D.; Beskos, D.E.

doi:10.1016/0045-7825(80)90101-2

Cited by 152 publications

(59 citation statements)

References 16 publications

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“…Manolis and Beskos [4] examined the thermally induced vibration of structures consisting of beams, exposed to rapid surface heating. They have also studied the effects of damping and axial loads on the structural response.…”

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confidence: 99%

State-space approach to vibration of gold nano-beam induced by ramp type heating

Youssef

Elsibai

2010

Nano-Micro Lett

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In the nanoscale beam, two effects become domineering. One is the non-Fourier effect in heat conduction and the other is the coupling effect between temperature and strain rate. In the present study, a generalized solution for the generalized thermoelastic vibration of gold nano-beam resonator induced by ramp type heating is developed. The solution takes into account the above two effects. State-space and Laplace transform methods are used to determine the lateral vibration, the temperature, the displacement, the stress and the strain energy of the beam. The effects of the relaxation time and the ramping time parameters have been studied. When very fast phenomena and small structure dimensions are involved, the classical law of Fourier becomes inaccurate.

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confidence: 99%

State-space approach to vibration of gold nano-beam induced by ramp type heating

Youssef

Elsibai

2010

Nano-Micro Lett

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“…In another paper, Boley and Barber [35] investigated thermally induced flexural vibration of a simply supported Bernoulli-Euler beam due to heat input to one edge of the span using the one-dimensional heat conduction equation. Manolis and Beskos [36] studied the effects of damping and axial loads on the vibration of beams induced by fast heating on the surface. They also considered the effects of damping and axial loading, but disregarded the coupling between stress and temperature fields.…”

Section: Theoretical Study Of Thermoelastic Dampingmentioning

confidence: 99%

Advances in Thermoelastic Damping in Micro- and Nano- Mechanical Resonators: a Review

Fang

Sun

Soh

2007

JMMP

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In this article, the recent and original results on the effect of thermoelastic damping (TED) on the vibrational properties of micro-and nano-mechanical resonators are reviewed. Thermoelastic damping is recognized as a significant loss mechanism at room temperature in micro-scale resonators. The thermoelastic damping theory was first presented by Zener in 1937, and recently refined by Lifshitz and Roukes. A review of the thermoelastic damping process is presented. Also the theoretical and experimental advances in this field are introduced and discussed. Finally, some results gained by the authors are presented.

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“…Boley (1972) analyzed the vibrations of a simply supported rectangular beam subjected to a suddenly applied heat input distributed along its span. Manolis and Beskos (1980) examined the thermally induced vibration of structures consisting of beams, exposed to rapid surface heating. Al-Huniti et al (2001) investigated the thermally induced displacements and stresses of a rod using the Laplace transformation technique.…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of vibration of a gold nano-beam under two-temperature theor

Mondal¹,

Sur²,

Kanoria³

2017

10.5267/j.esm

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The present problem deals with the thermo-elastic interaction of a gold nano-beam resonator induced by ramp-type heating under the two temperature theory of generalized thermoelasticity. The governing equations are constructed in the context of two-temperature three-phase-lag model (2T3P) and two-temperature Lord-Shulman (2TLS) model of generalized thermoelasticity. Using the Laplace transform, the fundamental equations have been expressed in the form of a vector-matrix differential equation which is then solved by Eigen value approach and Mathematica software package has been used as a tool. The inversion of Laplace transforms are computed numerically using the method of Fourier series expansion technique. Numerical results for lateral vibration, temperature, displacement, stress, and the strain energy are presented graphically for Lord-Shulman model and also for threephase lag model. A numerical instance of gold nano-beam in femtoseconds scale has been calculated to present the effect of the ramping time parameter on the entire studied field. The effect of two-temperature parameter is also discussed on the physical fields.

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Thermally induced vibrations of beam structures

Cited by 152 publications

References 16 publications

State-space approach to vibration of gold nano-beam induced by ramp type heating

State-space approach to vibration of gold nano-beam induced by ramp type heating

Advances in Thermoelastic Damping in Micro- and Nano- Mechanical Resonators: a Review

Modeling and analysis of vibration of a gold nano-beam under two-temperature theor

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