Constructing a Damped Spring-mass System with Prescribed Mixed Eigendata. (2017)

• Record Type: Journal Article
• Authors: Wan, Wenting
• Is Part Of: Procedia engineering. Volume 174(2017)
• Page Start: 1268
• Page End: 1275
• Publication Date: 2017
• Subjects: Damped spring-mass system -- quadratic inverse eigenvalue problen -- quadratic Jacobi pencil -- eigenpair; Engineering -- Congresses; Engineering -- Periodicals; Engineering; Conference proceedings; Periodicals; 620.005
• DOI: 10.1016/j.proeng.2017.01.301
• Languages: English
• ISSNs: 1877-7058

Abstract

Abstract: This paper considers an inverse mixed eigenvalue problem for a damped spring-mass system. The problem of reconstructing the vibration system from its partial physical parameters, complex mode and a real mode of the corresponding undamped system is considered. By solving a kind of quadratic inverse eigenvalue problems, the necessary and sufficient condition for the solvability of the problem is obtained, and a numerical method for solving the problem is proposed. The numerical example shows feasibility of the method.