Influence of the mechanical damage on vibration of a viscothermoelastic circular microplate resonator based on dual-phase-lag heat conduction

Youssef, Hamdy M.; El-Bary, Alaa A.

doi:10.1007/s11043-020-09455-z

Cited by 3 publications

(2 citation statements)

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“…Tzou suggested the DPL model address the problem in the classical model and considered micro-nano-structural interactions [41][42][43]:…”

Section: The Model Formulationmentioning

confidence: 99%

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Characterization of the Thermal Quality Factor Due to the Static Pre-Stress in Thermoelastic Nano Resonator of Silicon Under Time-Fractional Dual-Phase-Lag Heat Conduction

Youssef

Al-Lehaibi

2021

Silicon

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The time parameter for thermal relaxation is essential to change the nanobeam resonator's energy damping and thermal quality. This paper has established a thermal analysis model to analyze the relaxation times and the effect of the static pre-stress on a nanoresonator made of silicone. In the fractional dual-phase heat-conducting model, the equations have been constructed. The thermal quality factor impacts were discussed of the fractional parameter, length-scale, static pre-stress, isothermal frequency, and thermal relaxation times. The model may expect a significant enhancement in thermal quality factors by tuning the static prestress and length scale. The isothermal frequency and fractional order parameter have significant effects on the thermal quality factor of a silicon nanobeam resonator.

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“…Tzou suggested the DPL model address the problem in the classical model and considered micro-nano-structural interactions [41][42][43]:…”

Section: The Model Formulationmentioning

confidence: 99%

“…The exact analytical solution for the natural frequency is given as a simply supported beam [9,10,39,43]:…”

Section: The Model Formulationmentioning

confidence: 99%