A structured approach to design-for-frequency problems using the Cayley-Hamilton theorem

Description
Title: A structured approach to design-for-frequency problems using the Cayley-Hamilton theorem
Authors: Dumond, Patrick
Baddour, Natalie
Date: 2014-05-31
Abstract: Abstract An inverse eigenvalue problem approach to system design is considered. The Cayley-Hamilton theorem is developed for the general case involving the generalized eigenvalue vibration problem. Since many solutions exist for a desired frequency spectrum, a discussion of the required design information and suggestions for including structural constraints are given. An algorithm for solving the inverse eigenvalue design problem using the generalized Cayley-Hamilton theorem is proposed. A method for solving partially described systems is also specified. The Cayley-Hamilton theorem algorithm is shown to be a good design tool for solving inverse eigenvalue problems of mechanical and structural systems.
URL: http://dx.doi.org/10.1186/2193-1801-3-272
http://hdl.handle.net/10393/34043
CollectionLibre accès - Publications // Open Access - Publications
Files