Thermally-induced vibrations for thin structures subject to various thermal/structural boundary conditions

Thermally-induced vibrations behavior of an isotropic and composite beam is investigated in this study. A series-based theoretical approach is followed to investigate thermally-induced vibrations of a one-dimensional, bounded aluminum structure assumed to be first, insulated and second, at a constant temperature on one side, and subjected to heat fluxes in various forms on the other side. In the first case where the beam is insulated on one side and is subjected to heat flux on the other, the equations, results and discussions are briefly presented. In the second case, where the beam is kept at a constant temperature on one side (isothermal) and is subjected to heat flux on the other, the analyses are elaborated. The general temperature equation obtained as a result of conduction heat transfer is used to derive equations of thermal moments and thermally-induced vibrations for the structure. Three different heat fluxes: constant, ramp and sinusoidal types, are studied in this work. As for the structural boundary conditions, Simply-Supported (SS) and cantilever (C) end conditions are utilized. In addition to the theoretical approach, the Finite Element Method (FEM) is used to obtain results for the thermally-induced vibrations through the Ansys program. Theoretical results for the aluminum beam are then compared with those obtained by the FEM. Thermally-induced vibrations of thin composite beams under three different heat flux types, and with the SS and C structural end conditions are also investigated herein. The Classical Layer Theory (CLT) and composite plate equations are used to model the thermally-induced vibration behavior of thin composite beams. Finally, the control of thermally-induced vibrations for only the isothermal aluminum beam is studied. Various results demonstrate the thermally-induced vibration behavior of the thin isotropic and composite beams.