Thermally-Induced Vibrations of One-Dimensional Bounded Solids Subject to Heat Fluxes in Various Forms

• Published in: Arabian journal for science and engineering (2011) Vol. 47; no. 7; pp. 9319 - 9344
• Main Authors: Bicer, O., Al-Qahtani, H. M., Sunar, M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022; Springer Nature B.V
• Subjects: Boundary conditions; Composite beams; Conduction heating; Engineering; Heat flux; Heat transfer; Humanities and Social Sciences; Mathematical analysis; multidisciplinary; Research Article-Mechanical Engineering; Science; Finite element method; Temperature; Composite beams; Infinite series; Thermally-induced vibrations; Heat flux; Theoretical
• ISSN: 2193-567X; 1319-8025; 2191-4281
• DOI: 10.1007/s13369-022-06751-3

Thermally-induced vibrations of a one-dimensional, bounded isotropic and composite solid insulated on one side and subjected to various types of heat fluxes on the other side are studied by a series-based theoretical approach in this work. The general temperature equation obtained via conduction heat transfer is used to derive equations for the thermal moment and thermally-induced vibrations, which are generated within the solid as a result. The resulting equations for the thermal moment and thermally-induced vibrations are general and can be applied to different types of heat fluxes. Three types of heat fluxes are used as case studies, namely constant, ramp and sinusoidal types. A thin isotropic and composite beam with various boundary conditions is used to analyze the thermally-induced vibrations resulting from these three types of heat fluxes. Finite element results are also obtained for the thermally-induced vibrations of the isotropic beam in order to compare them with the theoretical ones.