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TECHNICAL BRIEFS

Direct Method of Inverse Eigenvalue Problems for Structure Redesign*

[+] Author and Article Information
Wu Liangsheng

College of Mechanical Engineering & Applied Electronics Technology, Beijing University of Technology, Beijing, China

J. Mech. Des 125(4), 845-847 (Jan 22, 2004) (3 pages) doi:10.1115/1.1631575 History: Received August 01, 2002; Revised April 01, 2003; Online January 22, 2004
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References

Stelson,  K. A., and Palma,  G. E., 1976, “Inversion of First Order Perturbation Theory and Its Application to Structural Design,” AIAA J., 14, pp. 454–460.
Hoff,  C. J., and Bernitsas,  M. M. , 1984, “Inverse Perturbation Method for Structural Redesign With Frequency and Model Shape Constraints,” AIAA J., 9, pp. 1304–1309.
Shalaby,  M. A., 1994, “On the Real Symmetric Inverse Eigenvalue Problem,” J. Comput. Appl. Math., 56, pp. 331–340.
Gladwell,  G. M. L., 1999, “Inverse Finite Element Vibration Problems,” J. Sound Vib., 211(2), pp. 309–324.
Gladwell,  G. M. L., 1995, “On Isospectral Spring-Mass Systems,” Inverse Probl., 11, pp. 591–602.
Ram,  Y. M., 1993, “Inverse Eigenvalue Problem for a Modified Vibrating System,” J. Comput. Appl. Math., 53, pp. 1762–1775.
Nylen,  P., and Uhlig,  F., 1997, “Inverse Eigenvalue Problem: Existence of Special Spring-Mass Systems,” Inverse Probl., 13, pp. 1071–1081.
Jiang Zejian, 1978, Mathematical Ananysis Beijing, People Education Press.

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In-plane purlin frame structure

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