Assignment of natural frequencies by an added mass and one or more springs

Mechanical Systems and Signal Processing

Volumn 18, Issue 2, 2004, Pages 263-289

  Kyprianou, Andreas ^a   Mottershead, John E ^a   Ouyang, Huajiang ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; MATHEMATICAL MODELS; NATURAL FREQUENCIES; POLYNOMIALS; SPRINGS (COMPONENTS); STIFFNESS;

MULTIVARIATE POLYNOMIAL EQUATIONS; STRUCTURAL MODIFICATION;

DYNAMICS;

EID: 0346306456     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0888-3270(02)00220-0     Document Type: Article

References (19)

1. J.F. Baldwin, S.G. Hutton, Natural modes of modified structures, AIAA Journal 23 (1985) 1737-1743.
2. R.E.D. Bishop, D.C. Johnson, The Mechanics of Vibration, Cambridge University Press, Cambridge, 1960.
3. Y.G. Tsuei, E.K.L. Yee, A method for modifying dynamic properties of undamped mechanical systems, ASME J. Dynamic Syst. Measurement Control 111 (1989) 403-408.
4. E.K.L. Yee, Y.G. Tsuei, Method for shifting natural frequencies of damped mechanical systems, AIAA J. 29 (1991) 1973-1977.
5. Y.M. Ram, S.G. Braun, An inverse problem associated with modification of incomplete dynamic systems, ASME J. Appl. Mech. 58 (1991) 233-237.
6. I. Bucher, S. Braun, The structural modification inverse problem: exact solution, Mech. Systems Signal Proc. 7 (3) (1992) 217-238.
7. K.T. Joseph, Inverse eigenvalue problem in structural design, AIAA J. 30 (1992) 2890-2896.
8. S.M. Friedland, J. Nocedal, M.L. Overton, Formulation and analysis of numerical methods for inverse eigenvalue problems, SIAM J. Numerical Analysis 24 (1987) 634-667.
9. Y. Li, J. He, G. Lleonart, Relocation of resonances and anti-resonances via local structural modification, Proceedings of the Asia-Pacific Vibrations Conference (1993) 1300-1307.
10. J.E. Mottershead, Structural modification for the assignment of zeros using measured receptances, ASME J. Appl. Mech. 68 (2001) 791-798.
11. Y.M. Ram, S. Elhay, The theory of a multi-degree-of-freedom dynamic absorber, J. Sound Vib. 195 (4) (1996) 607-615.
12. V.K. Singh, Y. Ram, Dynamic absorption by passive and active control, ASME J. Vib. Acoustics 122 (5) (2000) 429-433.
13. J.E. Mottershead, On the zeros of structural frequency response functions and their sensitivities, Mech. Syst. Signal Proc. 12 (5) (1998) 591-597.
14. J.E. Mottershead, G. Lallement, Vibration nodes, and the cancellation of poles and zeros by unit-rank modifications to structures, J. Sound Vib. 222 (5) (1998) 833-851.
15. J.T. Weissenburger, The effect of local modifications on the eigenvalues and eigenvectors of linear systems, Ph.D. Thesis, Washington University, 1966.
16. D. Cox, J. Little, D. O'Shea, Ideals Varieties and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 2nd Edition, Springer, Berlin, 1996.
17. J. von zur Gathen, J. Gerhard, Modern Computer Algebra, 1st Edition, Cambridge University Press, Cambridge, 1999.
18. D.J. Ewins, Modal Testing: Theory and Practice, Wiley, New York, 1995.
19. S.S. Rao, Mechanical Vibrations, Third Edition, Addison-Wesley, Reading, MA, 1995.