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TECHNICAL PAPERS

Structural Modification for the Assignment of Zeros Using Measured Receptances

[+] Author and Article Information
J. E. Mottershead

Department of Engineering, The University of Liverpool, Liverpool L69 3GH, UK

J. Appl. Mech 68(5), 791-798 (May 17, 2001) (8 pages) doi:10.1115/1.1388616 History: Received October 04, 2000; Revised May 17, 2001
Copyright © 2001 by ASME
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References

Baldwin,  J. F., and Hutton,  S. G., 1985, “Natural modes of modified structures,” AIAA J., 23, pp. 1737–1743.
Ram,  Y. M., 2000, “Dynamic Structural Modification,” Sound Vibn Dig., 32, No. 1, pp. 11–18.
Weissenburger, J. T., 1966, “The Effect of Local Modifications on the Eigenvalues and Eigenvectors of Linear Systems,” Ph.D. thesis, Washington University.
Pomazal,  R. J., and Snyder,  V. C., 1971, “Local Modifications of Damped Linear Systems,” AIAA J., 9, pp. 2216–2221.
Mottershead,  J. E., and Lallement,  G., 1999, “Vibration Nodes, and the Cancellation of Poles and Zeros by Unit-Rank Modifications to Structures,” J. Sound Vib., 222, No. 5, pp. 833–851.
Bucher,  I., and Braun,  S., 1993, “The Structural Modification Inverse Problem: An Exact Solution,” Mech. Syst. Signal Process., 7, No. 3, pp. 217–238.
Bucher,  I., and Braun,  S., 1997, “Left Eigenvectors: Extraction From Measurements and Physical Interpretation,” ASME J. Appl. Mech., 64, pp. 97–105.
Tsuei,  Y. G., and Yee,  E. K. L., 1989, “A Method for Modifying Dynamic Properties of Undamped Mechanical Systems,” ASME J. Dyn. Syst., Meas., Control, 111, pp. 403–408.
Li,  T., He,  J., and Sek,  M., 2001, “Local and Global Pole-Zero Cancellation of Mass-Spring Systems,” Mech. Syst. Signal Process., 15, No. 1, pp. 121–127.
Mottershead,  J. E., Mares,  C., and Friswell,  M. I., 2001, “An Inverse Method for the Assignment of Vibration Nodes;” Mech. Syst. Signal Process., 15, No. 1, pp. 87–100.
Inman, D. J., 1993, Engineering Vibrations, Prentice-Hall, Englewood Cliffs, NJ.
Ram,  Y. M., and Elhay,  S., 1996, “The Theory of a Multi-Degree-of-Freedom Vibration Absorber,” J. Sound Vib., 195, No. 4, pp. 607–615.
Sun,  J. Q., Jolly,  M. R., and Norris,  M. A., 1995, “Passive, Adaptive and Active Tuned Vibration Absorbers—A Survey,” ASME J. Vibr. Acoust., 117, No. 8, pp. 234–242.
Mottershead,  J. E., 1998, “On the Zeros of Structural Frequency Response Functions and Their Sensitivities,” Mech. Syst. Signal Process., 12, pp. 591–598.
Mottershead, J. E., 2001, “Complex and Defective Zeros in Cross Receptances,” J. Sound Vib., in press.
Kailath, T., 1980, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ.
Zhang,  Q., and Lallement,  G., 1989, “Selective Structural Modifications: Applications to the Problems of Eigensolution Sensitivity and Model Adjustment,” Mech. Syst. Signal Process., 3, pp. 55–69.
Singh,  K. V., and Ram,  Y. M., 2000, “Dynamic Absorption by Passive and Active Control,” ASME J. Vibr. Acoust., 122, No. 4, pp. 429–433.

Figures

Grahic Jump Location
Six-degree-of-freedom spring-mass system
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(a) Undamped receptance with an assigned zero at 1.5 rad/s; (b) undamped receptance for the subsidiary system of the zeros of h45
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Damped receptance—grounded dashpot at coordinate 3
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Damped receptance—grounded dashpot at coordinate 4
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Damped receptance-dashpot connected between coordinates 2 and 3
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Damped receptance-dashpot connected between coordinates 4 and 5
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Receptance h45 of the damped system
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Receptance of the damped system following modification by a grounded spring at coordinate 3
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Measured receptances h13,13 from the free-free beam; (a) before, modification, (b) after modification
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Measured receptances h17,13 from the free-free beam; (a) before modification, (b) after modification
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Measured receptances, h13,13 from the clamped-free beam; (a) before modification, (b) after modification

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