Large admissible perturbations (LEAP) is a general methodology, which solves redesign problems of complex structures with, among others, forced response amplitude constraints. In previous work, two LEAP algorithms, namely the incremental method (IM) and the direct method (DM), were developed. A powerful feature of LEAP is the general perturbation equations derived in terms of normal modes, the selection of which is a determinant factor for a successful redesign. The normal modes of a structure may be categorized as stretching, bending, torsional, and mixed modes and grouped into cognate spaces. In the context of redesign by LEAP, the physical interpretation of a mode-to-response cognate space lies in the fact that a mode from one space barely affects change in a mode from another space. Perturbation equations require computation of many perturbation terms corresponding to individual modes. Identifying modes with negligible contribution to the change in forced response amplitude eliminates a priori computation of numerous perturbation terms. Two methods of determining mode-to-response cognate spaces, one for IM and one for DM, are presented and compared. Trade-off between computational time and accuracy is assessed in order to provide practical guidelines to the designer. The developed LEAP redesign algorithms are applied to the redesign of a simple cantilever beam and a complex offshore tower.
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e-mail: vblouin@clemson.edu
e-mail: michaelb@umich.edu
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August 2005
Technical Papers
Cognate Space Identification for Forced Response Structural Redesign
Vincent Y. Blouin, Ph.D.,
Vincent Y. Blouin, Ph.D.
Research Associate
Mechanical Engineering,
e-mail: vblouin@clemson.edu
Clemson University
, 240 Fluor Daniel EIB, Box 340921 Clemson, 29634-0921
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Michael M. Bernitsas, Ph.D.
Michael M. Bernitsas, Ph.D.
Professor
Naval-Architecture and Marine Engineering,
e-mail: michaelb@umich.edu
The University of Michigan
, 2600 Draper Road, Ann Arbor, Michigan 48109-2145
Search for other works by this author on:
Vincent Y. Blouin, Ph.D.
Research Associate
Mechanical Engineering,
Clemson University
, 240 Fluor Daniel EIB, Box 340921 Clemson, 29634-0921e-mail: vblouin@clemson.edu
Michael M. Bernitsas, Ph.D.
Professor
Naval-Architecture and Marine Engineering,
The University of Michigan
, 2600 Draper Road, Ann Arbor, Michigan 48109-2145e-mail: michaelb@umich.edu
J. Offshore Mech. Arct. Eng. Aug 2005, 127(3): 227-233 (7 pages)
Published Online: January 26, 2003
Article history
Received:
February 19, 2002
Revised:
January 26, 2003
Citation
Blouin, V. Y., and Bernitsas, M. M. (January 26, 2003). "Cognate Space Identification for Forced Response Structural Redesign." ASME. J. Offshore Mech. Arct. Eng. August 2005; 127(3): 227–233. https://doi.org/10.1115/1.1979512
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