Affiliation:
1. Department of Engineering, The University of Liverpool, Liverpool L69 3GH, UK
Abstract
In many engineering applications it is desirable to assign the zeros of point or cross receptances to particular frequencies. This means that at the chosen coordinate no vibration will be experienced at those frequencies. It is shown how such an objective can be achieved by means of passive stiffness, damping, and mass modifications to the structure. The frequency responses of a subsidiary eigenvalue problem, the eigenvalue problem of the zeros, are determined in order that the methods of inverse structural modification may be applied. The technique requires only a small number of measurements from the structure in its unmodified condition. Numerical and physical experiments are carried out to illustrate the application of the method.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference18 articles.
1. Baldwin, J. F., and Hutton, S. G., 1985, “Natural modes of modified structures,” AIAA J., 23, pp. 1737–1743.
2. Ram, Y. M.
, 2000, “Dynamic Structural Modification,” Sound Vibn Dig., 32, No. 1, pp. 11–18.
3. Weissenburger, J. T., 1966, “The Effect of Local Modifications on the Eigenvalues and Eigenvectors of Linear Systems,” Ph.D. thesis, Washington University.
4. Pomazal, R. J., and Snyder, V. C., 1971, “Local Modifications of Damped Linear Systems,” AIAA J., 9, pp. 2216–2221.
5. 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.
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