| Title |
Axial Force of the Member due to the Temperature Change in Winkler Model |
| Authors |
Kwak, Soon-Seop ; Song, Kil-Ho ; Kim, Seong-Sik |
| Keywords |
Axial Winkler Model ; Axial Spring Constant ; Point Thermal Load(Temperature Change) ; Generalized Function ; Axial Force |
| Abstract |
In the axial Winkler model, the axial strain increased by the temperature change is , where is the coefficient of thermal expansion. When a point thermal load is applied , the thermal strain can not be expressed in the form of continuous function in the given range. But using the generalized function, the thermal strain can be expressed like , which is differentiable. And that, with the aid of characteristics of generalized functions the particular solution of the governing differential equation is also easily obtained. When the solution of the point thermal loaded case is known, then the solution of the partial or whole loaded cases can be obtained by the proper integration over the given range. This study shows that how the displacement and axial force can be obtained, depending on the ends conditions and boundary conditions, when thermal loads are applied. Moreover, when the axial spring constant changes, the trend of and can be known by the nondimensionalized and . |