RESEARCH ARTICLE

Parameter studies on impact in a lap joint

  • Amir M. RAHMANI 1 ,
  • Elizabeth K. ERVIN , 2
Expand
  • 1. Department of Mechanical Engineering, Stony Brook University, Stony Brook, NY 11790, USA
  • 2. Department of Civil Engineering, University of Mississippi, University, MS 38677, USA

Received date: 23 Sep 2014

Accepted date: 04 Nov 2014

Published date: 01 Apr 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

To represent a loose lap joint, a beam impacting four springs with gaps is modeled. Modal analysis with base excitation is solved, and time histories of contact points are closely monitored. Using the impulse during steady state response, six influential parameters are studied: damping ratio, contact stiffness, intermediate contact position, gap, excitation amplitude and beam height. For all parameters, the system response is highly controlled by modes with two contacting springs. Each parameter’s effect on system response is presented including unstable regions, unique trend behaviours result. Recommendations for structural designers are also noted.

Cite this article

Amir M. RAHMANI , Elizabeth K. ERVIN . Parameter studies on impact in a lap joint[J]. Frontiers of Mechanical Engineering, 2015 , 10(1) : 64 -77 . DOI: 10.1007/s11465-014-0322-x

1
Gilardi G, Sharf I. Literature survey of contact dynamics modelling. Mechanism and Machine Theory, 2002, 37(10): 1213–1239

DOI

2
Davies H G. Random vibration of a beam impacting stops. Journal of Sound and Vibration, 1980, 68(4): 479–487

DOI

3
Pun D, Lau S L, Liu Y B. Internal resonance of an L-shaped beam with a limit stop: Part I, Free vibration. Journal of Sound and Vibration, 1996, 193(5): 1023–1035

DOI

4
Pun D, Lau S L, Liu Y B. Internal resonance of an L-shaped beam with a limit stop: Part II, Forced vibration. Journal of Sound and Vibration, 1996, 193(5): 1037–1047

DOI

5
Metallidis P, Natsiavas S. Vibration of a continuous system with clearance and motion constraints. International Journal of Non-linear Mechanics, 2000, 35(4): 675–690

DOI

6
Chattopadhyay S. Dynamics of vibrating beams impacting around a clearance gap. In: Proceedings of IMAC-XIX: A Conference on Structural Dynamics. Kissimmee, 2001

7
Dumont Y, Kuttler K L, Shillor M. Analysis and simulations of vibrations of a beam with a slider. Journal of Engineering Mathematics, 2003, 47(1): 61–82

DOI

8
Ervin E K, Wickert J A. Repetitive impact response of a beam structure subjected to harmonic base excitation. Journal of Sound and Vibration, 2007, 307(1–2): 2–19

DOI

9
Ervin E K. Vibro-impact behavior of two orthogonal beams. Journal of Engineering Mechanics, 2009, 135(6): 529–537

DOI

10
Moorthy R I K, Kakodkar A, Srirangarajan H R, Finite element simulation of chaotic vibrations of a beam with non-linear boundary conditions. Computers & Structures, 1993, 49(4): 589–596

DOI

11
van de Vorst E L B, Heertjes M F, van Campen D H, Experimental and numerical analysis of the steady state behaviour of a beam system with impact. Journal of Sound and Vibration, 1998, 212(2): 321–336

DOI

12
Wagg D J, Bishop S R. Application of non-smooth modelling techniques to the dynamic of a flexible impacting beam. Journal of Sound and Vibration, 2002, 256(5): 803–820

DOI

13
Vyasarayani C P, Sandhu S S, McPhee J. Nonsmooth modeling of vibro-impacting Euler-Bernoulli beam. Advances in Acoustics and Vibration, 2012, 2012: 1–9

DOI

14
Mackerle J. Finite element analysis of fastening and joining: A bibliography (1990–2002). International Journal of Pressure Vessels and Piping, 2003, 80(4): 253–271

DOI

15
Kim J, Yoon J C, Kang B S. Finite element analysis and modeling of structure with bolted joints. Applied Mathematical Modelling, 2007, 31(5): 895–911

DOI

16
Salih E L, Gardner L, Nethercot D A. Numerical study of stainless steel gusset plate connections. Engineering Structures, 2013, 49(0): 448–464

DOI

17
Zang M, Gao W, Lei Z. A contact algorithm for 3d discrete and finite element contact problems based on penalty function method. Computational Mechanics, 2011, 48(5): 541–550

DOI

18
Yang T, Fan S H, Lin C S. Joint stiffness identification using FRF measurements. Computers & Structures, 2003, 81(28–29): 2549–2556

DOI

19
Barhorst A A. Modeling loose joints in elastic structures-variable structure motion model development. Journal of Vibration and Control, 2008, 14(11): 1767–1797

DOI

20
Barhorst A A. Modeling loose joints in elastic structures simulation algorithm and results. Journal of Vibration and Control, 2009, 15(1): 3–24

DOI

21
Jalali H, Ahmadian H, Mottershead J E. Identification of nonlinear bolted lap-joint parameters by force-state mapping. International Journal of Solids and Structures, 2007, 44(25–26): 8087–8105

DOI

22
Ahmadian H, Jalali H. Identification of bolted lap joints parameters in assembled structures. Mechanical Systems and Signal Processing, 2007, 21(2): 1041–1050

DOI

23
Iranzad M, Ahmadian H. Identification of nonlinear bolted lap joint models. Computers & Structures, 2012, 96–97: 1–8

DOI

24
Barhorst A A. Modeling loose joints in elastic structures momentum transfer model development. Journal of Vibration and Control, 2008, 14(12): 1803–1841

DOI

25
Foster J T, Barhorst A A, Wong C N S, et al. Modeling loose joints in elastic structures experimental results and validation. Journal of Vibration and Control, 2009, 15(4): 549–565

DOI

26
Rahmani A M, Ervin E K. Frequency response of an impacting lap joint. Journal of Nonlinear Dynamics, 2014, 2014: 1–10

DOI

27
HIS, Inc. Engineering Sciences Data Unit, IHS ESDU 91001: Structural parameters used in response calculations. Estimation of numerical values. 2012

Outlines

/