Component-centric reduced order models (ROMs) have recently been developed in the context of linear structural dynamics. They lead to an accurate prediction of the response of a part of structure (referred to as the β component) while not requiring a similar accuracy in the rest of the structure (referred to as the α component). The advantage of these ROMs over standard modal models is a significantly reduced number of generalized coordinates for structures with groups of close natural frequencies. This reduction is a very desirable feature for nonlinear geometric ROMs, and thus, the focus of the present investigation is on the formulation and validation of component-centric ROMs in the nonlinear geometric setting. The reduction in the number of generalized coordinates is achieved by rotating close frequency modes to achieve unobservable modes in the β component. In the linear case, these modes then completely disappear from the formulation owing to their orthogonality with the rest of the basis. In the nonlinear case, however, the generalized coordinates of these modes are still present in the nonlinear stiffness terms of the observable modes. A closure-type algorithm is then proposed to finally eliminate the unobserved generalized coordinates. This approach, its accuracy and computational savings, is demonstrated first on a simple beam model and then more completely on the 9-bay panel model considered in the linear investigation.
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December 2018
Research-Article
Component-Centric Reduced Order Modeling for the Prediction of the Nonlinear Geometric Response of a Part of a Stiffened Structure
Yuting Wang,
Yuting Wang
SEMTE,
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
501 E. Tyler Mall,
Tempe, AZ 85287-6106
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
501 E. Tyler Mall,
Tempe, AZ 85287-6106
Search for other works by this author on:
X. Q. Wang,
X. Q. Wang
SEMTE,
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
Tempe, AZ 85287-6106
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
501 E. Tyler Mall
,Tempe, AZ 85287-6106
Search for other works by this author on:
Marc P. Mignolet
Marc P. Mignolet
Professor
Fellow ASME
SEMTE,
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
Tempe, AZ 85287-6106
Fellow ASME
SEMTE,
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
501 E. Tyler Mall
,Tempe, AZ 85287-6106
Search for other works by this author on:
Yuting Wang
SEMTE,
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
501 E. Tyler Mall,
Tempe, AZ 85287-6106
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
501 E. Tyler Mall,
Tempe, AZ 85287-6106
X. Q. Wang
SEMTE,
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
Tempe, AZ 85287-6106
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
501 E. Tyler Mall
,Tempe, AZ 85287-6106
Marc P. Mignolet
Professor
Fellow ASME
SEMTE,
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
Tempe, AZ 85287-6106
Fellow ASME
SEMTE,
Faculties of Mechanical and
Aerospace Engineering,
Arizona State University,
501 E. Tyler Mall
,Tempe, AZ 85287-6106
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received March 19, 2018; final manuscript received September 9, 2018; published online October 29, 2018. Assoc. Editor: Bogdan I. Epureanu.
J. Comput. Nonlinear Dynam. Dec 2018, 13(12): 121006 (12 pages)
Published Online: October 29, 2018
Article history
Received:
March 19, 2018
Revised:
September 9, 2018
Citation
Wang, Y., Wang, X. Q., and Mignolet, M. P. (October 29, 2018). "Component-Centric Reduced Order Modeling for the Prediction of the Nonlinear Geometric Response of a Part of a Stiffened Structure." ASME. J. Comput. Nonlinear Dynam. December 2018; 13(12): 121006. https://doi.org/10.1115/1.4041472
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