Vibrations of a nonlocal thermoelastic cylinder with void

Autor:	Dinesh Kumar Sharma, Mitali Bachher, Prakash Chand Thakur, Nantu Sarkar
Rok vydání:	2020
Předmět:	Physics Partial differential equation Mechanical Engineering Computational Mechanics Natural frequency Mechanics Fundamental frequency Cylinder (engine) law.invention Vibration Thermoelastic damping law Ordinary differential equation Boundary value problem
Zdroj:	Acta Mechanica. 231:2931-2945
ISSN:	1619-6937 0001-5970
DOI:	10.1007/s00707-020-02681-z
Popis:	The present work is devoted to the investigation of the free vibrations of a homogeneous isotropic nonlocal thermoelastic cylinder with void. Time-harmonic variations are used to reduce the governing partial differential equations to a system of ordinary differential equations. The frequency equation for the continuation of vibrations for the mode numbers in the considered cylinder is deduced in closed form for traction-free and isothermal/thermally insulated boundary conditions. To observe the free vibration, the frequency equation is further studied by using the numerical iteration method with the help of MATLAB software. The numerically simulated results from the analytical solutions are shown graphically for the natural frequency, thermoelastic damping and the frequency shift against mode numbers for the nonlocal as well as the local thermoelastic cylinders in the presence and absence of the void.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::210f41777517ae041c1d1f552c41e66f https://doi.org/10.1007/s00707-020-02681-z Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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