Vibration inverse problem for spring-mass systems

Subject Areas : Model Updating

محمدرضا  تابش پور ¹ (هیات علمی، دانشکده مهندسی مکانیک، دانشگاه صنعتی شریف)

Received: 2016-01-23 Accepted : 2016-04-11 Published : 2017-02-19

Keywords: eigenvalue, Mass matrix, Inverse problem, stiffness matrix,

Abstract :

Inverse problem for spring-mass systems called shear structures is presented in this paper. Shear structure is a system with spring and mass after each other and there is a spring between two masses. Damping effects are neglected here. The aim is determining the mass and stiffness of the system with pre assigned frequencies. There is a method for solving such a problem that is presented here. Some examples are discussed. Such a problem can be used for several important problems.