| Title |
Application of the Generalized Functions in Thermal Loaded Beam Analysis |
| Authors |
Kwak Soon-Seop ; Song Kil-Ho |
| Keywords |
Generalized Functions ; Point Thermal Load ; Distributed Thermal Load |
| Abstract |
The form of differential equation related with beam analysis is , where is a linear differential operator. The term related with distributed loads in is , which is continuous and differentiable function. As concentrated load and moment load can be expressed, using the Generalized Function, in terms of equivalent distributed loads, thermal loads also can be expressed in the form of Generalized Functions in . For example, the curvatures of the point thermal load and distributed thermal load can be expressed in terms of and respectively. After two times differentiation of the curvatures, the final forms related with thermal loads in are and . How it is easy and simple to use the Generalized Functions in thermal loaded beam analysis is shown in several examples. |