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TECHNICAL PAPERS

Design of Nonproportional Damped Systems via Symmetric Positive Inverse Problems

[+] Author and Article Information
L. Starek

Faculty of Mechanical Engineering, Slovak Technical University at Bratislava, Slovakia

D. J. Inman

Center for Intelligent Material Systems and Structures, Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Vib. Acoust 126(2), 212-219 (May 04, 2004) (8 pages) doi:10.1115/1.1688760 History: Received May 01, 2002; Revised October 01, 2003; Online May 04, 2004
Copyright © 2004 by ASME
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References

Starek,  L., Inman,  D. J., and Kress,  A., 1992, “A Symmetric Inverse Vibration Problem,” ASME J. Vibr. Acoust., 114, pp. 564–568.
Starek,  L., and Inman,  D. J., 1997, “A Symmetric Inverse Vibration Problem for Non-Proportional, Underdamped System,” ASME J. Appl. Mech., 64(3), pp. 601–605.
Gohberg, I. et al., 1982, Matrix Polynomials, Academic Press.
Danek, O., 1982, Non conservative Dynamic Systems, Strojnicky Casopis 33, Chap. 6, pp. 667–680 (In Czech).
Gladwell, G. M. L., 1986, Inverse Problem in Vibration, Martinus Nijhoff Publishers, Boston, MA.
Lancaster,  P., and Maroulas,  J., 1987, “Inverse Eigenvalue Problems for Damped Vibrating Systems,” J. Math. Anal. Appl., 123(1), pp. 238–261.
Starek,  L., and Inman,  D. J., 1991, “On the Inverse Vibration Problem With Rigid Body Modes,” ASME J. Appl. Mech., 58, pp. 1101–1104.
Starek,  L., and Inman,  D. J., 1995, “A Symmetric Inverse Vibration Problem With Over-Damped Modes,” J. Sound Vib., 181(5), pp. 893–903.
Starek, L., Inman, D. J., and Pilkey, D. J., 1995, “A Symmetric Positive Definite Inverse Vibration Problem With Underdamped Modes,” Proceedings of the Design Engineering Technical Conference, Boston, MA, DE-Vol. 84-3, Volume 3-Part C, ASME, pp. 1089–1094.
Caughy,  T. K., and O’Kelly,  M. E. J., 1965, “Classical Normal Modes in Damped Linear Dynamic Systems,” ASME J. Appl. Mech., 132, pp. 583–588.
Shapiro, E. Y., and Chung, J. C., 1981, “Application of Eigenvalue/Eigenvector Assignment by Constant Output Feedback to Flight Control Systems Design,” Proceedings 15th Annual Conference on Information Sciences and Systems, Baltimore, MD, pp. 164–169.

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