Thermoelastic Damping and Frequency Shift in Kirchhoff Plate Resonators Based on Modified Couple Stress Theory With Dual-Phase-Lag Model

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DEVI S.; KUMAR R.

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Journal Paper

Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2020 | Volume:12 | Issue:3 Page(s): 700-712

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Title

Thermoelastic Damping and Frequency Shift in Kirchhoff Plate Resonators Based on Modified Couple Stress Theory With Dual-Phase-Lag Model

Author(s)

DEVI S. | KUMAR R. | Issue Writer Certificate

Keywords

Modified couple stress theory

Kirchhoff-Love plate theory

Dual-phase-lag model

Thermoelastic damping

Frequency shift

Abstract

The present investigation deals with study of Thermoelastic damping and Frequency shift of Kirchhoff plate resonators by using generalized thermoelasticity theory of Dual-phase-lag model. The basic equations of motion and heat conduction equation are written with the help of Kirchhoff-Love plate theory and dual phase lag model. The analytical expressions for Thermoelastic damping and Frequency shift of modified couple stress dual-phase-lag thermoelastic plate have been obtained. A computer algorithm has been constructed to obtain the numerical results. Influences of modified couple stress dual-phase-lag thermoelastic plate; dualphase-lag thermoelastic plate and Lord-Shulman (L-S, 1967) thermoelastic plate with few vibration modes on the Thermoelastic damping and Frequency shift are examined. The Thermoelastic damping and Frequency shift with varying values of length and thickness are shown graphically for clamped-clamped and simply supported boundary conditions. It is observed from the results that the damping factor and Frequency shift have noticed larger value in the presence of couple stress for varying values of length but opposite effect are shown for varying values of thickness in case of both vibration modes and boundary conditions.

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APA: Copy

DEVI, S., & KUMAR, R.. (2020). Thermoelastic Damping and Frequency Shift in Kirchhoff Plate Resonators Based on Modified Couple Stress Theory With Dual-Phase-Lag Model. JOURNAL OF SOLID MECHANICS, 12(3), 700-712. SID. https://sid.ir/paper/755701/en

Vancouver: Copy

DEVI S., KUMAR R.. Thermoelastic Damping and Frequency Shift in Kirchhoff Plate Resonators Based on Modified Couple Stress Theory With Dual-Phase-Lag Model. JOURNAL OF SOLID MECHANICS[Internet]. 2020;12(3):700-712. Available from: https://sid.ir/paper/755701/en

IEEE: Copy

S. DEVI, and R. KUMAR, “Thermoelastic Damping and Frequency Shift in Kirchhoff Plate Resonators Based on Modified Couple Stress Theory With Dual-Phase-Lag Model,” JOURNAL OF SOLID MECHANICS, vol. 12, no. 3, pp. 700–712, 2020, [Online]. Available: https://sid.ir/paper/755701/en

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