A new method for the non-linear deflection analysis of an infinite beam resting on a non-linear elastic foundation,
- T. S. Jang, H. S. Baek, J. K. Paik
- International Journal of Non-Linear Mechanics,
This paper presents an inverse problem and its solution procedure, which are aimed at identifying a sudden underwater movement of the sea bottom. The identification is mathematically shown to work with a known snapshot data of generated water wave configurations. It is also proved that the problem has a unique solution. However, the inverse problem is involved in an integral equation of the first kind, resulting in an ill-posed problem in the sense of stability. That is, the problem lacks solution stability properties. To overcome the difficulty of solution instability, in this paper, a stabilization technique, called regularization, is incorporated in the present solution procedure for the identification of the sea bottommovement. A numerical experiment is presented to demonstrate that the proposed numerical solution procedure operates.