0
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
<>
Copyright © 2014 by ASME
Topics: Sensors , Stress , Algorithms
Your Session has timed out. Please sign back in to continue.

References

Vaughan, R. E., Chang, J., and Rogers, M. H., 2007, “Obtaining Usage Credits From Monitoring of Helicopter Dynamic Components Without Impacting Safe Life Reliability,” American Helicopter Society International 63th Annual Forum Proceedings, Virginia Beach, VA, May 1–3, Alexandria, VA.
Farrar, C. R., and Worden, K., 2007, “An Introduction to Structural Health Monitoring,” Phil. Trans. Math. Phys. Eng., 365(1851), pp. 303–315. [CrossRef]
Pingle, P., and Avitabile, P., 2010, “Prediction of Full Field Dynamic Stress/Strain From Limited Sets of Measured Data,” IMAC XXVIII, Jacksonville, FL.
Pingle, P., and Avitabile, P., 2011, “Full-Field Dynamic Stress/Strain From Limited Sets of Measured Data,” Sound and Vibration, August 10–14.
Wang, W., Mottershead, J. E., Ihle, A., Siebert, T., and SchubachH. R., 2011, “Finite Element Model Updating From Full-Field Vibration Measurement Using Digital Image correlation,” J. Sound Vib., 330, pp. 1599–1620. [CrossRef]
Wang, W., Mottershead, J. E., and Mares, C., 2009, “Vibration Mode Shape Recognition Using Image Processing,” J. Sound Vib., 326, pp. 909–938. [CrossRef]
Tessler, A., 2007, “Structural Analysis Methods for Structural Health Management of Future Aerospace Vehicles,” NASA/TM-2007-214871.
Tessler, A., and Spangler, J. L., 2003, “A Variational Principle for Reconstruction of Elastic Deformations in Shear Deformable Plates and Shells,” NASA/TM-2003-212445.
Tessler, A., and Spangler, J. L., 2004, “Inverse FEM for Full-Field Reconstruction of Elastic Deformations in Shear Deformable Plates and Shells,” 2nd European Workshop on Structural Health Monitoring, July 7–9.
Gherlone, M., Cerracchio, P., Mattone, M., Di Sciuva, M., and Tessler, A., 2012, “Shape Sensing of 3D Frame Structures Using an Inverse Finite Element Method,” Int. J. Solid. Struct., 49, pp. 3100–3112. [CrossRef]
Chierichetti, M., McColl, C., Palmer, D., Ruzzene, M., and Bauchau, O., 2011, “Combined Analytical and Experimental Approaches to Rotor Components Stress Predictions,” Proc. IMechE K J. Multibody Dyn., 225, pp. 322–330.
Chierichetti, M., and Ruzzene, M., 2012, “Dynamic Displacement Field Reconstruction Through a Limited Set of Point Measurements: Application to Plates,” J. Sound Vib., 331(21), pp. 4713–4728. [CrossRef]
Demetriou, M. A., 2004, “Natural Second Order Observers for Second-Order Distributed Parameter Systems,” Syst. Control Lett., 51, pp. 225–234. [CrossRef]
Bauchau, O. A., “DYMORE: A Finite Element Based Tool for the Analysis of Nonlinear Flexible Multibody Systems. Available at http://www.ae.gatech.edu/people/obauchau/dymore.pdf
Middleton, D., 1960, An Introduction to Statistical Communication Theory (International Series in Pure and Applied Physics), McGraw-Hill, New York.
Kammer, D. C., 1991, “Sensor Placement for On-Orbit Modal Identification and Correlation of Large Space Structures,” J. Guidance Contr. Dyn., 14(2), pp. 251–259. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Concept describing the load confluence algorithm

Grahic Jump Location
Fig. 2

Schematic of the multibody model of the beams

Grahic Jump Location
Fig. 3

Optimal position of control points

Grahic Jump Location
Fig. 4

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

Grahic Jump Location
Fig. 5

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

Grahic Jump Location
Fig. 6

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

Grahic Jump Location
Fig. 7

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

Grahic Jump Location
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

Grahic Jump Location
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

Grahic Jump Location
Fig. 10

Nonlinear constitutive law of torsional spring

Grahic Jump Location
Fig. 11

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

Grahic Jump Location
Fig. 12

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

Grahic Jump Location
Fig. 13

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

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In