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Identification of joint dynamics in lap joints

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Abstract

The dynamics of machine tools are greatly dependent on joints, since they add flexibility and damping to structures. In this study, the linear stiffness and damping of a joint in the transverse direction are obtained using two different methods: the inverse receptance coupling method and the new analytical joint identification (AJI) approach. The former approach finds the joint frequency response function by determining the difference between the response of the assembled structure and those of the substructures. However, the only required data for the AJI method are modal parameters of the assembled structure, which can be measured using experimental modal analysis. The accuracy of these methods is first investigated using numerical simulations. Experiments are then conducted on a structure consisting of two beams attached to one another in a lap joint. The proposed methods are utilized to experimentally extract the joint parameters in the transverse direction. Finally, the effects of varying the joint conditions, including surface roughness and the addition of interfacial materials, are investigated.

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Abbreviations

f :

Force

M :

Moment

F :

Force vector

x :

Displacement

\(\theta \) :

Rotation

X :

Displacement vector

H :

Frequency response function (FRF)

K :

Stiffness

C :

Damping

j :

Imaginary unit

\(\omega \) :

Frequency

G :

FRF of the assembled structure

E :

Modulus of elasticity

I :

Moment of inertia

m :

Mass per length

W :

Transverse displacement of the beam

\(\omega _n \) :

Natural frequency

\(\zeta \) :

Damping ratio

Q :

Shearing force

\(\varDelta _x \) :

Distance between the measurement point and reference point

\(\varDelta _f \) :

Distance between the impact point and reference point

\(\alpha _0 \) :

The rotation of reference point

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Acknowledgments

The authors would like to acknowledge NSERC Canadian Network for Research in Machining Technology (CANRIMT) for funding support.

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Authors and Affiliations

  1. Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada

    M. Sanati, Y. Alammari & S. S. Park

  2. Singapore Institute of Manufacturing Technology, A*STAR, Singapore, Singapore

    J. H. Ko

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  1. M. Sanati
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  2. Y. Alammari
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  3. J. H. Ko
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  4. S. S. Park
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Correspondence to S. S. Park.

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Sanati, M., Alammari, Y., Ko, J.H. et al. Identification of joint dynamics in lap joints. Arch Appl Mech 87, 99–113 (2017). https://doi.org/10.1007/s00419-016-1179-8

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