| Title |
Application of the Generalized Functions in Thermal Loaded Winkler Beam |
| Authors |
Kwak Soon-Seop ; Song Kil-Ho |
| Keywords |
Winkler Beam ; Generalized Functions ; Point Thermal Load ; Green Function |
| Abstract |
In nonhomogeneous differential equation , related to the point thermal loaded Winkler beam, where is a linear differential operator and load terms are appeared in , it is difficult to express the thermal load in . But with the aid of Generalized Functions, the thermal load can be described in and the particular solutions are easily got. The magnitude of curvature at the thermal loading point is , where is the strain in top fiber and is the depth of beam. When the magnitude of curvature is "1", the solution is Green Function. This Green Function can be used and applied to get the other Green Functions in Free-end, Hinge and Fixed-end respectively. Finally we can get solutions of any types of thermal load using these Green Functions. |