| Title |
Application of Generalized Functions in Structural Analysis |
| Authors |
Kwak Soon-Seop ; Lee Hong-Woo ; Song Kil-Ho |
| Keywords |
Generalized Function ; Delta Function and its Derivatives ; Filtration Property ; Structural Analysis ; Governing Differential Equation ; Particular Solution |
| Abstract |
When the structures are analyzed by classical method, several governing differential equations are needed if a beam is loaded by many loads. But if delta function and its derivatives as generalized functions are used, one governing differential equation is enough. In Lw(x) = q(x), where L is a linear differential operator, the particular solution Wp(x) can be obtained as a integral from using the method of variation of parameters. Since the external load term, q(x), can be described by using these generalized functions, the filtration property of delta function in a integral makes the form of Wp(x) simpler one. The usage of these generalized functions is shown in several sample cases and we can see the convenience of the generalized functions. |