Condensation Modeling of Nonlinear Dynamics in Contact Region of Bolted Joint

  • JIANG Heling ,
  • KONG Lingfei ,
  • LI Chao ,
  • CUI Bo
Expand
  • Key Laboratory of Shaanxi Mechanical Equipment, Xi'an University of Technology, Xi'an 710048

Received date: 2017-10-13

  Revised date: 2018-05-22

  Online published: 2018-09-05

Abstract

In order to study the influence of nonlinear contact force, a new method for modeling the dynamic characteristics of the contact region of bolted joint is proposed. Based on hybrid coordinate modal reduction technique, the characteristic modes of the linear degree of freedom in the bolt connection model are truncated, and only the nonlinear dynamic characteristics of the contact region are retained. After introducing the contact coupling condensation point which can equivalently take the place of nonlinear characteristic, the nonlinear contact force of the contact area can be condensed to the point by using the coordinate transformation. The nonlinear force of the bolt contact area will be transformed into the nonlinear stiffness of the condensation point. Therefore, it can effectively reduce the number of degrees of the nonlinear coupling and the computing resources. Through theoretical calculation and experimental comparison, the effectiveness and feasibility of the proposed method is verified. This will lay the foundation for the accurate and efficient prediction of dynamic characteristics and performance evaluation of structural joints.

Cite this article

JIANG Heling , KONG Lingfei , LI Chao , CUI Bo . Condensation Modeling of Nonlinear Dynamics in Contact Region of Bolted Joint[J]. Journal of Mechanical Engineering, 2018 , 54(17) : 218 -225 . DOI: 10.3901/JME.2018.17.218

References

[1] BUTNER C,ADAMS D,FOLEY J R. Simplified nonlinear modeling approach for a bolted interface test fixture[M]. New York:Spring,2012.
[2] AHMADIAN H,EBRAHIMI M,MOTTERSHEAD J E,et al. Identification of bolted-joint interface models[C]//Proceedings of ISMA 2002,2002:1741-1748.
[3] AHMADIAN H,JALALI H. Generic element formulation for modeling bolted lap joints[J]. Mechanical Systems & Signal Processing,2007,21(5):2318-2334.
[4] COUCHAUX M,HJIAJ M,RYAN I,et al. Effect of contact on the elastic behavior of tensile bolted connections[J]. Journal of Constructional Steel Research,2017,133:459-474.
[5] ADEL F,SHOKROLLAHI S,JAMAL-OMIDI M,et al. A model updating method for hybrid composite/aluminum bolted joints using modal test data[J]. Journal of Sound & Vibration,2017,396:172-185.
[6] AHAMADIAN H,JALALI H,MOTTERSHEAD J E,et al. Dynamic modeling of spot welds using thin layer interface theory[C]. 10th International Congress on Sound and Vibration,2003:1-8.
[7] AHMADIAN H,MOTTERSHEAD J E,JAMES S,et al. Modeling and updating of large surface-to-surface joints in the AWE-MACE structure[J]. Mechanical Systems & Signal Processing,2006,20(4):868-880.
[8] BOGRAD S,REUSS P,SCHMIDT A,et al. Modeling the dynamics of mechanical joints[J]. Mechanical Systems & Signal Processing,2011,25(8):2801-2826.
[9] SONG Y,HARTWIGSEN C J,MCFARLAND D M,et al. Simulation of dynamics of beam structures with bolted joints using adjusted Iwan beam elements[J]. Journal of Sound & Vibration,2004,273(1):249-276.
[10] IWAN W D. A distributed-element model for hysteresis and its steady-state dynamic response[J]. Journal of Applied Mechanics,1966,33(4):45-57.
[11] SEGALMAN D J. An initial overview of Iwan modeling for mechanical joints[C]//Sandia National Laboratories,2001,Albuquerque,NM,Technical Report No. SAND2001-0811,2001:1-54.
[12] AHMADIAN H,JALALI H. Identification of bolted lap joints parameters in assembled structures[J]. Mechanical Systems & Signal Processing,2007,21(1):1041-1050.
[13] GAUL L,LENZ J. Nonlinear dynamics of structures assembled by bolted joints[J]. Acta Mechanica,1997,125(1):169-181.
[14] SEGALMAN D J,PAEZ T,SMALLWOOD D,et al. Status and integrated road-map for joints modeling research[C]//Sandia National Laboratories,2003,Albuquerque,NM,2003:1-57.
[15] MENQ C H,BIELAK J,GRIFFIN J H. The influence of microslip on vibratory response,part I:A new microslip model[J]. Journal of Sound & Vibration,1986,107(2):279-293.
[16] MENQ C H,GRIFFIN J H,BIELAK J. The influence of microslip on vibratory response,part Ⅱ:A comparison with experimental results[J]. Journal of Sound Vibration,1986,107(2):295-307.
[17] FESTJENS H,CHEVALLIER G,DION J L. A numerical tool for the design of assembled structures under dynamic loads[J]. International Journal of Mechanical Sciences,2013,75(10):170-177.
[18] ZHANG Jing,ZHENG Gangtie. A mixed model reduction method for preserving selected physical information[J]. Mechanical Systems & Signal Processing,2017,86:224-236.
[19] YOUNG JT. Primer on the Craig-Bampton (based on input from W.B. Haile)[R]. Technical Report,October 2000.
[20] FONSECA P D,VANDEPITTE D,BRUSSEL H V,et al. Dynamic model reduction of a flexible three-axis milling machine[C]//Proceedings of the 23rd International Conference on Noise and Vibration Engineer (ISMA),Leuven,Belgium,September 1998:185-194.
[21] KLANNER M,MAIR M,DIWOKY F,et al. Coupling node reduction of a synchronous machine using multipoint constraints[R]. SAE Technical Paper,2014, 1:2067-2076.
[22] CHEUNG Y K,CHEN Shuhui,Lau S L. Application of the incremental harmonic balance method to cubic non-linearity systems[J]. Journal of Sound & Vibration,1990,140(2):273-286.
[23] SEGALMAN D J. A four-parameter Iwan model for lap-type joints[J]. Journal of Applied Mechanics,2005,72(5):752-760.
Outlines

/