Mass and stiffness modifications to achieve desired natural frequencies

✍ Scribed by Sivan, Dmitri D. ;Ram, Yitshak M.

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 558 KB
• Volume: 12
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199609)12:9<531::aid-cnm999>3.0.co;2-s

✦ Synopsis

A method for determining mass and stiffness modifications to achieve desired natural frequencies is presented. The given data are modal testing results, which consist of a truncated set of natural frequencies and mode shapes. The difficulty arising from the incompleteness of data is overcome by solving an optimization problem rather than seeking an exact solution. The obtained modifications are optimal in a Rayleigh-Ritz sense. The case where the mass and stiffness matrices are interrelated is also considered. Numerical examples demonstrating the various results and the sensitivity of the problem to perturbations are presented.