Abstract
Dynamic characteristics of a structure are usually referred to as its natural frequencies and mode shapes. The ability to alter these characteristics in order to have desired dynamic characteristics for a structure either by design, re-design or by modification has been an enduring quest by structural analysts. The need to change dynamic characteristics of a structure may come from new design requirements, solution for excessive vibration, or the necessity to control the response of the structure. It is unrealistic and unnecessary to attempt to alter all natural frequencies or mode shapes of a structure but selected changes via modification are possible. In many applications, it is often a part of the dynamic characteristics of a structure such as a particular natural frequency that needs to be changed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Adelman, H. M. and Haftka, R. T. (1986), Sensitivity analysis of discrete structure systems, AlAA Journal, Vol. 24, No. 5, 823–832.
Baldwin, J. F. and Hutton, S. G. (1985), Natural modes of modified structure, AlAA Journal, Vol. 23, No. 11, 1737–1743.
Bucher, I. and Braun, S. (1993), The structural modification inverse problem: an exact solution, Mechanical Systems and Signal Processing, 7(3), 217–238.
Yuan-Fang, C. and Jeng-Shyong, C. (1988), Structural dynamics modification via sensitivity analysis, Proceedings of the 6” International Modal Analysis Conference, 483–489.
Ewins, D. J. (1984), Modal Testing: Theory and Practice, Research Studies Press, UK.
Hallquist, J. O. (1976), An efficient method for determining the effects of mass modifications in damped systems, Journal of Sound and Vibration, 44(3), 449–459.
He, J. and Li, Y. (1995), Relocation of anti-resonances of a vibratory system by local structural changes, The International Journal of Analytical and Experimental Modal Analysis, Vol. 10, No. 4.
Herbert, M. R. and Kientzy, D. W. (1980), Applications of structural dynamics modification, SAE Paper No. 80-1125.
Hunt, J B (1979), Dynamic Absorbers, Letworth, UK.
Joseph, K. T. (1992), Inverse eigenvalue problem in structural design, AlAA Journal, Vol. 30, No. 12, 2890–2896.
Li, Y., He, J. and Lleonart, G. (1994-1), Structural Dynamic optimisation by local structural modification, Proceedings of the 12th International Modal Analysis Conference, Honolulu, 127–132.
Li, Y., He, J. and Lleonart, G. (1994-2), Finite element implementation of structural dynamic modification, Proceedings of International Mechanical Engineering Congress, Perth, Australia, 157–161.
Li, T. and He J. (1997), Structural modification by mass and stiffness changes, Proceedings of 15th IMAC, Orlando, USA.
Mothershead, J. E. (1998), On the zeros of structural frequency response functions and their application to model assessment and updating, Proceedings of the 16th International Modal Analysis Conference, Santa Barbara, CA, 500–503.
Murthy, D. V. and Haftka, R. T. (1988), Approximation to eigenvalues and modified general matrices, Computers and Structures, Vol. 29, No. 5, 903–917.
Lord Rayleigh (1945), Theory of Sound, Dover Publications, 2nd ed., New York.
Ozguven, H. N. (1984), Determination of receptances of locally damped structures, Proceedings of International Conference on Recent Advances in Structural Dynamics, Vol. 2, 887–892.
Pomazal, R. J. and Snyder, V. W. (1971), Local modifications of damped linear systems, AIAA Journal, 9,2216–2221.
Ram, Y. M. and Blech, J. J. (1991), The dynamic behaviour of a vibratory system after modification, Journal of Sound and Vibration, 150(3), 357–370.
Ram, Y. M. and Braun, S. G. (1991), An inverse problem associated with modification of incomplete dynamic systems, Journal of Applied Mechanics, Vol. 58, 233–237.
Rogers, L. C. (1970), Derivatives of eigenvalues and eigenvectors, AIAA Journal, 8, 943–944.
Rosenbrock, H. H. (1965), Sensitivity of an eigenvalue to changes in the matrix, Electronics Letters, Vol. 1, 278–279.
Sandtrom, R. E. and Anderson, W. J. (1982), Modal perturbation methods for marine structures, Transaction of the Society of Naval Architects and Marine Engineers, Vol. 90, 41–54.
Skingle, G. W. and Ewins, D. J. (1988), Sensitivity analysis using resonance and anti-resonance frequencies-a guide to structural modification, European Forum on Aeroelasticity and Structural Dynamics, Aachen.
Skingle, G. W. (1989), Structural dynamic modification using experimental data, Ph.D thesis, Department of Mechanical Engineering, Imperial College of Science, Technology and Medicine, London, UK.
Snyder, V. W. (1986), Structural modification and modal analysis — survey, International Journal of Modal Analysis, Vol. 1 No. 11.
Stetson, K. A., and Palma, G. E. (1976), Inverse of first order perturbation theory and its application to structural design, AIAA Journal, Vol. 14, 454–460.
To, W. M. and Ewins, D. J. (1990), Structural modification analysis using Rayleigh quotient iteration, International Journal of Mechanical Sciences, Vol. 32, No. 3, 169–179.
Tusei, Y. G. and Yee, E. K. L. (1987), A method to modify dynamic properties of undamped mechanical systems, Journal of Dynamic Systems, Measurement, and Control, ASME Transactions, Vol. 111, 403–408.
Vanhonacker, P. (1980), Differential and difference sensitivities of natural frequencies and mode shapes of mechanical structures, AIAA Journal, 18, 1511–1514.
Wagner, H. et al (1973), Dynamics of stockbridge dampers, Journal of Sound and Vibration, 30(2), 207–220.
Wang, B. P. and Pilkey, W. D. (1980), Efficient re-analysis of locally modified structures, Proceedings of the First Chautauqua on Finite Element Modelling, 37–61.
Wang, J., Heylen, W. and Sas, P. (1987), Accuracy of structural modification techniques, Proceedings of the 5th International Modal Analysis Conference, 65–71.
Wang, Z., Lim, M. K. and Lin, R. M. (1994), Structural modification prediction using incomplete modal data, Proceedings of the 12th International Modal Analysis Conference, Honolulu, HI, 1736–1743.
Weissenburger, J. T. (1968), Effects of local modification on the vibration characteristics of linear systems, Journal of Applied Mechanics, 35, 327–332
Wilkinson, J. H. (1963), The Algebraic Eigenvalue Problem, Oxford University Press, London.
Yang, B. (1993), Exact receptances of nonproportionally damped dynamic systems, Journal of Vibration and Acoustics, Vol. 115,41–52.
Yee, E. K. L. and Tusei, Y. G. (1991), Method of shifting natural frequencies of damped mechanical systems, A1AA Journal, Vol.29, No. 11, 1973–1977.
Zeng, X., Zhang, K. and Yang, J. (1998), A new re-analysis method for large structure modification, Proceedings of the 16th International Modal Analysis Conference, Santa Barbara, CA, 1598–1601.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
He, J. (1999). Structural Modification. In: Silva, J.M.M., Maia, N.M.M. (eds) Modal Analysis and Testing. NATO Science Series, vol 363. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4503-9_18
Download citation
DOI: https://doi.org/10.1007/978-94-011-4503-9_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-5894-7
Online ISBN: 978-94-011-4503-9
eBook Packages: Springer Book Archive