Dumond, PatrickBaddour, Natalie2015-12-182015-12-182014-05-31SpringerPlus. 2014 May 31;3(1):272http://dx.doi.org/10.1186/2193-1801-3-272http://hdl.handle.net/10393/34043Abstract 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.Journal Article2015-12-18enDumond and Baddour; licensee Springer.