Identification of Consistent Mass System Using Lumped Mass System. 1st Report, Identification of Uniform Beam.

Abstract

This paper deals with the identification of a uniform beam. Two-degree-of-freedom characteristic matrices are introduced theoretically. Time domain data of displacement are obtained at two points of a uniform beam, and characteristic matrices are calculated from the natural frequency and the modal decay rate using a complex modal method. The experimental results are in good agreement with theoretical results of mass and stiffness matrices. Three models were considered for the damping matrix. The first is the model where the matrix has a diagonal element. The second is the model where a damper exists between two masses. The third is the model where the matrix is symmetric. The identification by the second model agrees well with that by third model.