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Shock and Vibration
Volume 2014, Article ID 173786, 8 pages
Research Article

Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes

1Instituto Tecnológico de Aeronáutica, 12228-900 São José dos Campos, SP, Brazil
2Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada

Received 8 August 2013; Accepted 7 February 2014; Published 4 June 2014

Academic Editor: Miguel M. Neves

Copyright © 2014 J. A. Hernandes and A. Suleman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new method for the synthesis of structures with prescribed target natural frequencies and mode shapes is presented. The introduction of a modal Rayleigh quotient approximation based on the target mode shapes is the means to propose a structural synthesis problem whose solution is free from eigenvector sensitivity analysis. The frequencies and mode shapes can be adjusted as close as possible to the desired target values, while minimizing the total mass. Several examples corroborate the efficacy of the proposed method.