Force reconstruction using vibration in a restricted area-extended abstract

The reconstruction of force on complex structures is a challenging problem. Accurate and efficient solution of this problem is important for many mechanism researches and industrial applications. The force reconstruction is to estimate the dynamic load applied on the structure according to the dynamic characteristics of the structure and the measured dynamic response. It often involves measurement of the dynamic responses at certain points of the structure and uses appropriate structural model which relate the input and output. The force to be determined usually consists of three properties: 1) the time history or frequency contents, 2) the direction, 3) the location or distribution. Many methods have been developed and can be classified into direct methods, regularized methods and probabilistic/statistical methods[1,2]. As inverse problems are often ill-posed in a sense that small change in response and/or in the system model can correspond very large changes in the force [3], even the inverse solution of the force on a simple beam structure would still face the similar challenge [1,4].