Analysis of deflection in visco-thermoelastic beam resonators subjected to harmonic loading

• Autorzy: Chopra Deepti , Singh Prince

Identyfikatory

DOI

10.2478/ijame-2022-0018

• Języki publikacji: EN

Abstrakty

EN

This paper analyses the transverse deflection in a homogeneous, isotropic, visco-thermoelastic beam when subjected to harmonic load. The ends of the beam are considered at different boundary conditions (both axial ends clamped, both axial ends simply supported and left end clamped and right end free). The deflection has been studied by using the Laplace transform. Numerical computation of analytical expression of deflection obtained after Inverse Laplace transform has been done using MATLAB software. The graphical observations have been discussed under various boundary conditions for different values of time and length. The above work has applications in design of resonators.

Słowa kluczowe

EN

visco-thermoelastic; beam; loading; Laplace transform

PL

termoelastyczność; transformata Laplace'a; belka; obciążenie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2022
• Tom: Vol. 27, no. 2
• Strony: 35--52
• Opis fizyczny: Bibliogr. 15 poz., wykr.

Twórcy

autor

Chopra Deepti

• Department of Mathematics, School of Chemical Engineering and Physical Sciences Lovely Professional University, Phagwara, Punjab, INDIA

autor

Singh Prince

• Department of Mathematics, School of Chemical Engineering and Physical Sciences Lovely Professional University, Phagwara, Punjab, INDIA

Bibliografia

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• [3] Drozdov A.D. (1996): A constitutive model in thermoviscoelasticity.– Mechanics Research Communications, vol.23, pp.543-548.
• [4] Guo. F.L. and Rogerson G.A. (2003): Thermoelastic coupling effect on a micro-machined beam machined beam resonator.– Mechanics Research Communications, vol.30, pp.513-518.
• [5] Sun Y.X., Fang D.N. and Soh A.K. (2006): Thermoelastic damping in micro-beam resonators.– International Journal of Solids and Structure, vol. 43, pp.3213-3229.
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• [12] Sharma J. N. and Kaur R. (2014): Analysis of forced vibrations in micro-scale anisotropic thermo-elastic beams due to concentrated loads.– Journal of Thermal Stresses, vol.37, No.1, pp.93-116.
• [13] Sharma J.N. and Kaur R. (2015): Response of anisotropic thermoelastic micro-beam resonators under dynamic loads.– Applied Mathematical Modelling, vol.39, pp.2929-2941.
• [14] Partap G. and Chugh N. (2017): Deflection analysis of micro-scale microstretch thermoelastic beam resonators under harmonic loading.– Applied Mathematical Modelling, vol.46, pp.16-27.
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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)