The aim of the current research is to analyze the transient thermoelastic bending analysis of a rectangular plate with a simply supported edge under the heat source. Initially, the plate is kept at a constant temperature. For $t > 0$, the heat is produced in the plate at the rate $g (W.m^{-3})$ and the surfaces at $x = 0, a$ and $y = 0, b$ are kept at zero temperature, while the surfaces $z = 0, c$ are subjected to heat convection. Using Green’s function approach and integral transform technique, the analytical solution of the rectangular plate with the simply supported edge is derived. As a preeminent finding from this investigation, it can be deduced that the accuracy, reliability, and simplicity of these methods are excellent. Accurate bending solutions to title problems are then obtained using the transform technique. The approach used in this paper is more reasonable than conventional methods. Numerical results are presented to demonstrate the validity and efficiency of the approach as compared with those reported in other literature. The outcomes demonstrate that the temperature profile and the thermal deflection are maximum at the middle part of the plate, due to the heat source located in the middle, however, the direction of heat flow and the body deformation is the same.
Gaikwad,K R, Naner,Y U and Khavale,S G. (2023). Transient thermoelastic bending analysis of a rectangular plate with a simply supported edge under heat source: Green's function approach. International Journal of Nonlinear Analysis and Applications, 14(1), 805-818. doi: 10.22075/ijnaa.2022.22977.2444
MLA
Gaikwad,K R, , Naner,Y U, and Khavale,S G. "Transient thermoelastic bending analysis of a rectangular plate with a simply supported edge under heat source: Green's function approach", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 805-818. doi: 10.22075/ijnaa.2022.22977.2444
HARVARD
Gaikwad K R, Naner Y U, Khavale S G. (2023). 'Transient thermoelastic bending analysis of a rectangular plate with a simply supported edge under heat source: Green's function approach', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 805-818. doi: 10.22075/ijnaa.2022.22977.2444
CHICAGO
K R Gaikwad, Y U Naner and S G Khavale, "Transient thermoelastic bending analysis of a rectangular plate with a simply supported edge under heat source: Green's function approach," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 805-818, doi: 10.22075/ijnaa.2022.22977.2444
VANCOUVER
Gaikwad K R, Naner Y U, Khavale S G. Transient thermoelastic bending analysis of a rectangular plate with a simply supported edge under heat source: Green's function approach. IJNAA. 2023;14(1):805-818. doi: 10.22075/ijnaa.2022.22977.2444
International Journal of Nonlinear Analysis and Applications