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Research Papers

Load and Response Identification for a Nonlinear Flexible Structure Subject to Harmonic Loads

[+] Author and Article Information
Maria Chierichetti

Assistant Professor
Department of Mechanical and
Aerospace Engineering,
Worcester Polytechnic Institute,
Worcester, MA 01609
e-mail: mchierichetti@wpi.edu

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 24, 2013; final manuscript received August 23, 2013; published online October 9, 2013. Assoc. Editor: Johannes Gerstmayr.

J. Comput. Nonlinear Dynam 9(1), 011009 (Oct 09, 2013) (8 pages) Paper No: CND-13-1016; doi: 10.1115/1.4025505 History: Received January 24, 2013; Revised August 23, 2013

Experimental monitoring of dynamic response is generally limited to few locations in the system. However, the analysis of structural performance and design of control systems would benefit from a complete knowledge of the system dynamic during service. A numerical approach is developed to numerically reconstruct the load and response of a complete structure from few reference points, based on a modal approach for projecting the response at few points on the domain of the structure. This methodology is particularly advantageous when full-field monitoring of a structure is not a possible solution. An assembly of two beams joined by a nonlinear torsional spring is analyzed in case of different load distributions acting on its span. The approach is shown to be robust and reliable.

FIGURES IN THIS ARTICLE
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Copyright © 2014 by ASME
Topics: Sensors , Stress , Algorithms
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Figures

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Fig. 1

Concept describing the load confluence algorithm

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Fig. 2

Schematic of the multibody model of the beams

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Fig. 7

Details of the y-component of the displacement of point 1 after the application of LCA

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Fig. 8

Details of the x-component of the displacement of point 1 during the application of LCA in the presence of inaccuracies in the knowledge of the system, one sensor

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Fig. 13

Details of the y-component of the displacement of point 1 during the application of LCA

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Fig. 3

Optimal position of control points

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Fig. 4

Displacement of point 1 during the application of LCA, one sensor

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Fig. 5

Details of the x-component of the displacement of point 1 during the application of LCA, one sensor

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Fig. 6

Details of the y-component of the displacement of point 1 during the application of LCA, one sensor

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Fig. 9

Details of the y-component of the displacement of point 1 during the application of LCA in the presence of inaccuracies in the knowledge of the system, one sensor

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Fig. 10

Nonlinear constitutive law of torsional spring

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Fig. 11

Time history of y-displacement of point 1 during the application of LCA in a resonance condition, f = 27 Hz

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Fig. 12

Deformed shape before and after the application of LCA for an excitation frequency of 28 Hz, one sensor

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