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COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Physical Parameter Modifications for Specified Frequencies
M.S. Djoudi and H. Bahai
Department of Systems Engineering, Brunel University, Uxbridge, United Kingdom
M.S. Djoudi, H. Bahai, "Physical Parameter Modifications for Specified Frequencies", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 135-140, 2000. doi:10.4203/ccp.66.6.3
An efficient relationship between physical properties of structures and their eigenvalues is established. The formulation allows the determination of the necessary modifications on the structural members to achieve the specified frequency. The calculations involved do not include any iteration or convergence and therefore it is computationally efficient.
The modification can either be global or local. In addition to the modification of the existing structural elements the formulation can also be used to add new structural elements to achieve the desired natural frequencies.
Although in the present paper only simple plane structures are considered the formulation can be applied to large space structures.
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