| Title |
Axial Force of a Member by Using Green Functions Under the Arbitrary Thermal Load Function T(x) in the Winker Model |
| Authors |
Kwak, Soon-Seop ; KimSeong-Sik |
| Keywords |
Axial Winkler Model ; Thermal Load Function ; Green Function ; Generalized Function ; Axial Force ; Spring Constant |
| Abstract |
In the axial Winkler model, the thermal loads induce the axial displacement and force. When the unit thermal load is applied at x=a, the thermal strain can be expressed by using generalized functions, and that the related differential equations are also easily solved with the aid of the characteristics of generalized functions. From these solutions, the related Green functions are obtained. Depending on the conditions of both ends, when any type of thermal load function T(x) is applied between x=c and x=d, the axial displacement and force can be obtained by the proper integration of those related Green functions within the given range. For the more, the trend of displacements and forces, due to the spring constant k, can be known by nondimensionalized the related displacement and force. |