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Identification of the lateral impact-force on the beam with discontinuities

There are many practical applications that involve the lateral impact problem on the beam with discontinuities. This paper focuses on the identification method for the lateral impact force history of the beam with discontinuities, which belongs to the inverse problem. A new method to detect the lateral impact force on the beam with discontinuities is developed. We use Green's functions to get the convolution relation between two kinds of impact forces and responses. A singular matrix equation for solving impact-force is obtained finally. The singular value dissolved method is employed to search for the lateral impact force. The simulation test is used to proof the validity of identification method developed. The modifiable Timoshenko beam equation is used to model response on the beam with discontinuities by impact-force. The method of characteristics is used for numerical solution of Timoshenko beam equations. A computer program for both forward and inverse problems is developed. A discontinuities beam model with clamped and free boundary condition is used to verify above method. The lateral impact force is identified. The very satisfactory agreement between the known and identified force histories shows that the identified method developed in this paper is reliable for impact force determination purposes. The force history by response with noise is detected and good results of identified impact force are obtained.