title: A structured approach to design-for-frequency problems using the Cayley-Hamilton theorem.
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.
authors.affiliation: Department of Mechanical Engineering, University of Ottawa, 161 Louis Pasteur, CBY A205, K1N 6N5 Ottawa, Canada.
authors.forename: Patrick
authors.initials: P
authors.lastname: Dumond
authors.affiliation: Department of Mechanical Engineering, University of Ottawa, 161 Louis Pasteur, CBY A205, K1N 6N5 Ottawa, Canada.
authors.forename: Natalie
authors.initials: N
authors.lastname: Baddour
keywords: Calyey-Hamilton theorem; Design-for-frequency; Generalized eigenvalue problem; Inverse eigenvalue problems; Vibrations