Vibration transfer analysis of component interfaces by a power flow mode approach
DOI:
https://doi.org/10.13052/EJCM.20.29-47Keywords:
vibration transfer, dissipated power-flow, interface forces, substructureAbstract
A method has been developed to dynamically characterize complex structures’ interfaces at low frequencies. The aim is to optimize vibration isolation of a main structure subjected at its junctions to forces generated by connected substructures. An eigenvalue problem is formulated by minimizing the average dissipated power flow of the system. Hence, the derived eigenvalues and eigenvectors describe the energy pattern at each given frequency. It is then possible to characterize the real interface forces and, for example, to control them by determining the appropriated external forces to apply to the structure. This method has been studied on an academic system and applied to a simple coupled structure.
Downloads
References
Bessac F., Gagliardini L., Guyader J.-L., “ Coupling eigenvalues and eigenvectors: a tool for
investigating the vibroacoustic behaviour of coupled vibrating systems”, Journal of Sound
and Vibration, vol. 191, n° 5, p. 881 - 899, 1996.
Cremer L., Heckl M., Petersson B., Structure-borne sound, 3rd edn, Springer Verlag, Berlin,
Cuschieri J., “ Vibration transmission through periodic structures using a mobility power flow
approach”, Journal of Sound and Vibration, vol. 143, n° 1, p. 65 - 74, 1990.
Gardonio P., Brennan M., “ On the origins and developments of mobility and impedance methods
in structural dynamics”, Journal of Sound and Vibration, vol. 249, n° 3, p. 557 - 573,
Golub G., Loan C. V., Matrix Computations, The Johns Hopkins University Press, third edition,
London, U.K., 1996.
Gonidou L.-O., “ Dynamic characterization of structural interfaces”, Proceedings of the the
Spacecraft and Launch Vehicle Dynamic Environments Workshop, 2007.
Goyder H., White R., “ Vibrational power flow from machines into built-up structures, part
I: Introduction and approximate analyses of beam and plate-like foundations”, Journal of
Sound and Vibration, vol. 68, n° 1, p. 59 - 75, 1980a.
Goyder H., White R., “ Vibrational power flow from machines into built-up structures, part III:
Power flow through isolation systems”, Journal of Sound and Vibration, vol. 68, n° 1, p. 97
- 117, 1980b.
Ji L., Mace B., Pinnington R., “ Estimation of power transmission to a flexible receiver from a
stiff source using a power mode approach”, Journal of Sound and Vibration, vol. 268, n° 3,
p. 525 - 542, 2003a.
Ji L., Mace B., Pinnington R., “ A power mode approach to estimating vibrational power transmitted
by multiple sources”, Journal of Sound and Vibration, vol. 265, n° 2, p. 387 - 399,
b.
Langley R., “ Analysis of power flow in beams and frameworks using the direct-dynamic stiffness
method”, Journal of Sound and Vibration, vol. 136, n° 3, p. 439 - 452, 1990.
Miller D., Hall S., von Flotow A., “ Optimal control of power flow at structural junctions”,
Journal of Sound and Vibration, vol. 140, n° 3, p. 475 - 497, 1990.
Pierre C., “ Mode localization and eigenvalue loci veering phenomena in disordered structures”,
Journal of Sound and Vibration, vol. 126, n° 3, p. 485 - 502, 1988.
Pinnington R., White R., “ Power flow through machine isolators to resonant and non-resonant
beams”, Journal of Sound and Vibration, vol. 75, n° 2, p. 179 - 197, 1981.
Su J., Moorhouse A., Gibbs B., “ Towards a practical characterization for structure-borne sound
sources based on mobility techniques”, Journal of Sound and Vibration, vol. 185, n° 4,
p. 737 - 741, 1995.
Xiong Y., Xing J., PriceW., “ A power flow mode theory based on a system’s damping distribution
and power flow design approaches”, Proceedings of the royal society, vol. 461, p. 3381
- 3411, 2005.