0
Research Papers

Identification of Energy Dissipation in Structural Joints by Means of the Energy Flow Analysis

[+] Author and Article Information
S. S. Gómez

Faculty of Civil Engineering and Geosciences,
Department of Structural Engineering,
Delft University of Technology,
Stevinweg 1,
Delft 2628CN, The Netherlands;
TNO Structural Dynamics,
Van Mourik Broekmanweg 6,
Delft 2628XE, The Netherlands
e-mail: sergio.sanchezgomez@tno.nl

A. Metrikine

Faculty of Civil Engineering and Geosciences,
Department of Structural Engineering,
Delft University of Technology,
Stevinweg 1,
Delft 2628CN, The Netherlands
e-mail: A.Metrikine@tudelft.nl

B. Carboni

Faculty of Civil and Industrial Engineering,
Department of Structural
and Geotechnical Engineering,
Sapienza University of Rome,
Via Eudossiana 18,
Rome 00184, Italy
e-mail: biagio.carboni@uniroma1.it

W. Lacarbonara

Faculty of Civil and Industrial Engineering,
Department of Structural
and Geotechnical Engineering,
Sapienza University of Rome,
Via Eudossiana 18,
Rome 00184, Italy
e-mail: walter.lacarbonara@uniroma1.it

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 28, 2017; final manuscript received July 3, 2017; published online September 1, 2017. Assoc. Editor: Matthew Brake.

J. Vib. Acoust 140(1), 011007 (Sep 01, 2017) (8 pages) Paper No: VIB-17-1080; doi: 10.1115/1.4037470 History: Received February 28, 2017; Revised July 03, 2017

In this paper, identification of energy dissipation in the joints of a lab-scale structure is accomplished. The identification is carried out by means of an energy flow analysis and experimental data. The devised procedure enables to formulate an energy balance in the vicinity of the joints to obtain local energy dissipation. In this paper, a damping matrix based on the locally identified damping coefficients is formulated. The formulated damping matrix is later used in a five-degrees-of-freedom (5DOF) system for validation. The results obtained with the proposed method are in good agreement with the experimental data, especially in the low frequency range.

FIGURES IN THIS ARTICLE
<>
Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Roettgen, D. R. , and Allen, M. S. , 2017, “ Nonlinear Characterization of a Bolted, Industrial Structure Using a Modal Framework,” Mech. Syst. Signal Process., 84(Part B), pp. 152–170. [CrossRef]
Abad, J. , Franco, J. , Celorrio, R. , and Lezáun, L. , 2012, “ Design of Experiments and Energy Dissipation Analysis for a Contact Mechanics 3D Model of Frictional Bolted Lap Joints,” Adv. Eng. Software, 45(1), pp. 42–53. [CrossRef]
Mayes, R. L. , Pacini, B. R. , and Roettgen, D. R. , 2016, A Modal Model to Simulate Typical Structural Dynamic Nonlinearity, Springer International Publishing, Cham, Switzerland, pp. 57–76.
Deaner, B. J. , Allen, M. S. , Starr, M. J. , Segalman, D. J. , and Sumali, H. , 2015, “ Application of Viscous and Iwan Modal Damping Models to Experimental Measurements From Bolted Structures,” ASME J. Vib. Acoust., 137(2), p. 021012. [CrossRef]
Ewins, D. , 2000, Modal Testing: Theory, Practice and Application, Research Studies Press, Hertfordsire, UK.
Peeters, B. , and Roeck, G. D. , 2001, “ Stochastic System Identification for Operational Modal Analysis: A Review,” ASME J. Dyn. Syst., Meas., Control, 123(4), pp. 659–667. [CrossRef]
He, J. , and Fu, Z.-F. , 2001, Modal Analysis, Butterworth-Heinemann, Oxford, UK.
Ma, X. , Bergman, L. , and Vakakis, A. , 2001, “ Identification of Bolted Joints Through Laser Vibrometry,” J. Sound Vib., 246(3), pp. 441–460. [CrossRef]
Mehrpouya, M. , Sanati, M. , and Park, S. , 2016, “ Identification of Joint Dynamics in 3D Structures Through the Inverse Receptance Coupling Method,” Int. J. Mech. Sci., 105, pp. 135–145. [CrossRef]
Wohlever, J. , and Bernhard, R. , 1992, “ Mechanical Energy Flow Models of Rods and Beams,” J. Sound Vib., 153(1), pp. 1–19. [CrossRef]
Lase, Y. , Ichchou, M. , and Jezequel, L. , 1996, “ Energy Flow Analysis of Bars and Beams: Theoretical Formulations,” J. Sound Vib., 192(1), pp. 281–305. [CrossRef]
Bouthier, O. , and Bernhard, R. , 1995, “ Simple Models of the Energetics of Transversely Vibrating Plates,” J. Sound Vib., 182(1), pp. 149–164. [CrossRef]
Han, F. , Bernhard, R. , and Mongeau, L. , 1997, “ Energy Flow Analysis of Vibrating Beams and Plates for Discrete Random Excitations,” J. Sound Vib., 208(5), pp. 841–859. [CrossRef]
Lebot, A. , and Jezequel, L. , 1993, “ Energy Methods Applied to Transverse Vibrations of Beams,” Fourth International Congress on Intensity Techniques, Senlis, France, pp. 371–378.
Pinnington, R. , and Lednik, D. , 1996, “ Transient Energy Flow Between Two Coupled Beams,” J. Sound Vib., 189(2), pp. 265–287. [CrossRef]
Alfredsson, K. , 1997, “ Active and Reactive Structural Energy Flow,” ASME J. Vib. Acoust., 119(1), pp. 70–79. [CrossRef]
Sorokin, S. , Nielsen, J. , and Olhoff, N. , 2001, “ Analysis and Optimization of Energy Flows in Structures Composed of Beam Elements—Part I: Problem Formulation and Solution Technique,” Struct. Multidiscip. Optim., 22(1), pp. 3–11. [CrossRef]
Bouthier, O. , and Bernhard, R. , 1995, “ Simple Models of Energy Flow in Vibrating Membranes,” J. Sound Vib., 182(1), pp. 129–147. [CrossRef]
Möhring, W. , 1978, “ Acoustic Energy Flux in Nonhomogeneous Ducts,” J. Acoust. Soc. Am., 64(4), pp. 1186–1189. [CrossRef]
Bonnor, W. B. , and Vaidya, P. C. , 1970, “ Spherically Symmetric Radiation of Charge in Einstein-Maxwell Theory,” Gen. Relativ. Gravitation, 1(2), pp. 127–130. [CrossRef]
Metrikine, A. , Battjes, J. , and Kuiper, G. , 2006, “ On the Energy Transfer at Boundaries of Translating Continua,” J. Sound Vib., 297(3–5), pp. 1107–1113. [CrossRef]
Lee, S. Y. , and Mote, C. D. , 1997, “ A Generalized Treatment of the Energetics of Translating Continua—Part I: Strings and Second Order Tensioned Pipes,” J. Sound Vib., 204(5), pp. 717–734. [CrossRef]
Lee, S. Y. , and Mote, C. D. , 1997, “ A Generalized Treatment of the Energetics of Translating Continua—Part II: Beams and Fluid Conveying Pipes,” J. Sound Vib., 204(5), pp. 735–753. [CrossRef]
Metrikine, A. , 2008, “ On Variation of Energy and Axial Momentum in One-Dimensional Translating Continua,” Sixth EUROMECH Nonlinear Dynamics Conference (ENOC), St. Petersburg, Russia, June 30–July 4. http://lib.physcon.ru/file?id=36bc670770d5
Schmitz, T. , and Smith, K. , 2012, Mechanical Vibrations, Springer, New York. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Experimental setup: five-storey steel building model mounted on the Moog shaking table with the first instrumentation configuration and acquisition system

Grahic Jump Location
Fig. 2

Experimental setup: second instrumentation configuration for the energy flow analysis

Grahic Jump Location
Fig. 3

Response of each storey of the structure to a hammer impact

Grahic Jump Location
Fig. 4

Frequency response: (a) imaginary part and (b) real part

Grahic Jump Location
Fig. 5

Identified mode shapes of the lab-scale structure

Grahic Jump Location
Fig. 6

Euler–Bernoulli beams with discrete springs and masses representing the lab-scale structure

Grahic Jump Location
Fig. 7

Euler–Bernoulli beam with a dashpot representing the connection of the first storey of the lab-scale building

Grahic Jump Location
Fig. 8

Viscous damping coefficient of the first storey of the setup

Grahic Jump Location
Fig. 9

Hammer impact force measured at the tip of the hammer as a function of time

Grahic Jump Location
Fig. 10

Filtered response to a hammer impact of the top storey of the setup and the model in time domain

Grahic Jump Location
Fig. 11

The absolute value of the displacement frequency response to a hammer impact of the top storey of the experimental setup and the numerical model

Grahic Jump Location
Fig. 12

The absolute value of the acceleration frequency response to a hammer impact of the top storey of the experimental setup and the numerical model

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