Abstract
The problem of searching into the unknown “shape” of a continuum to have prescribed eigenvalues will be identified with an eigenvalue problem belonging to an intermediate problem in the sense of Weinstein, Bazley and Fox. Those eigenvalues of this latter are prescribed, which are defined by a linear algebraic eigenvalue problem. A special base operator enables the prescribed m eigenvalues to be the first m ones of the structure to be designed. Unknown parameters of the shape are looked for in an appropriate family of functions. A nonlinear algebraic system of equations is obtained for the unknown coefficients. Method is illustrated with a straight rod performing plane flexural vibration. A numerical example is given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
