Observations of variability and repeatability in jointed structures

Abstract The experimental study of joint mechanics has been limited in its effectiveness due to the high uncertainty associated with assemblies of sub-components. In particular, two categories of uncertainty are variability (the uncertainty in measurements of different, nominally identical parts) and repeatability (the uncertainty in measurements of the same set of parts). As a result, the uncertainty measured is often greater than the nonlinear characteristics being studied (such as amplitude dependent frequency and damping), which makes meaningful experimentation challenging. This paper analyzes the contributors to uncertainty in the form of variability and repeatability in order to make recommendations for methods to reduce the uncertainty and to redesign a joint to improve its dynamics. Experiments are summarized that investigate the role of experimental setup, interface roughness, settling versus wear, interface geometry (both meso-scale and macro-scale), and the structure surrounding the joint. From the results of these studies, recommendations for the measurement of nonlinearities in jointed structures are made.

[1]  Lawrence A. Bergman,et al.  Surface Roughness Effects on Energy Dissipation in Fretting Contact of Nominally Flat Surfaces , 2011 .

[2]  Marc P. Mignolet,et al.  Stochastic Iwan-Type Model of a Bolted Joint: Formulation and Identification , 2014 .

[3]  M. Ciavarella,et al.  Frictional energy dissipation in contact of nominally flat rough surfaces under harmonically varying loads , 2011 .

[4]  Muzio Gola,et al.  Design of a high-precision, flat-on-flat fretting test apparatus with high temperature capability , 2013 .

[5]  Aldo A. Ferri,et al.  Energy Transfer and Dissipation in a Three-Degree-of-Freedom System With Stribeck Friction , 2005 .

[6]  Aldo A. Ferri,et al.  Friction Damping and Isolation Systems , 1995 .

[7]  Ning An,et al.  A microslip friction model with normal load variation induced by normal motion , 2007 .

[8]  M. Mignolet,et al.  Experimental Determination of Frictional Interface Models , 2016 .

[9]  Matthew S. Allen,et al.  System Identification of Jointed Structures: Nonlinear Modal Testing Vs. State-Space Model Identification , 2018, Nonlinear Dynamics, Volume 1.

[10]  Matthew Robert Brake,et al.  Experimental Assessment of the Influence of Interface Geometries on Structural Dynamic Response , 2017 .

[11]  David Nowell,et al.  An elastic–plastic asperity interaction model for sliding friction , 2011 .

[12]  Marco Paggi,et al.  Contact conductance of rough surfaces composed of modified RMD patches , 2011 .

[13]  David A. Hills,et al.  General results for complete contacts subject to oscillatory shear , 2006 .

[14]  D. Hills,et al.  Sharp contact corners, fretting and cracks , 2013 .

[15]  Muzio Gola,et al.  Measurement of Tangential Contact Hysteresis During Microslip , 2004 .

[16]  Jean-Philippe Noël,et al.  Complex dynamics of a nonlinear aerospace structure: Experimental identification and modal interactions , 2014 .

[17]  A. Klarbring,et al.  Shakedown in frictional contact problems for the continuum , 2008 .

[18]  J. Molinari,et al.  Increased strain rate sensitivity due to stress-coupled grain growth in nanocrystalline Al , 2006 .

[19]  Hartono Sumali,et al.  Calculating Damping from Ring-Down Using Hilbert Transform and Curve Fitting. , 2011 .

[20]  Aldo A. Ferri,et al.  Properties of Energy Transfer Within A Dry Friction Damped Structural System , 2008 .

[21]  G. Kerschen,et al.  Dynamic testing of nonlinear vibrating structures using nonlinear normal modes , 2011 .

[22]  Matthew Robert Brake,et al.  In Situ Measurements of Interfacial Contact Pressure During Impact Hammer Tests , 2018, Nonlinear Dynamics, Volume 1.

[23]  D. Segalman A Four-Parameter Iwan Model for Lap-Type Joints , 2002 .

[24]  Christoph W. Schwingshackl,et al.  Measured and estimated friction interface parameters in a nonlinear dynamic analysis , 2012 .

[25]  Hugh Goyder,et al.  Measurement of Damping due to Bolted Joints , 2013 .

[26]  Gaëtan Kerschen,et al.  Modal testing of nonlinear vibrating structures based on nonlinear normal modes: Experimental demonstration , 2011 .

[27]  Matthew Robert Brake,et al.  Nonlinear modeling of structures with bolted joints: A comparison of two approaches based on a time-domain and frequency-domain solver , 2019, Mechanical Systems and Signal Processing.

[28]  L. Gaul,et al.  The Role of Friction in Mechanical Joints , 2001 .

[29]  Alessandro Cabboi,et al.  The frequency response of dynamic friction: Enhanced rate-and-state models , 2016 .

[30]  D. Hills,et al.  Determination of the shakedown limit for large, discrete frictional systems , 2015 .

[31]  Matthew S. Allen,et al.  Estimating the degree of nonlinearity in transient responses with zeroed early-time fast Fourier transforms , 2010 .

[32]  P. Kotula,et al.  Friction transitions in nanocrystalline nickel , 2011 .

[33]  Plasticity-induced restructuring of a nanocrystalline grain boundary network , 2016, 1604.00088.

[34]  David Nowell,et al.  Measurements of pressure and area dependent tangential contact stiffness between rough surfaces using digital image correlation , 2011 .

[35]  R. Averback,et al.  Nanoscale self-organization reaction in Cu–Ag alloys subjected to dry sliding and its impact on wear resistance , 2016 .

[36]  Matthew Robert Brake,et al.  The Effect of Non-Flat Interfaces On System Dynamics , 2019 .

[37]  Matthew Robert Brake,et al.  A Priori Methods to Assess the Strength of Nonlinearities for Design Applications , 2020 .

[38]  Georg-Peter Ostermeyer,et al.  Cellular automata method for macroscopic surface and friction dynamics in brake systems , 2007 .

[39]  Matthew Robert Brake,et al.  The surrogate system hypothesis for joint mechanics , 2019, Mechanical Systems and Signal Processing.

[40]  Matthew Robert Brake,et al.  The Effects of Boundary Conditions, Measurement Techniques, and Excitation Type on Measurements of the Properties of Mechanical Joints , 2016 .

[41]  Christoph W. Schwingshackl Identification Reassembly Uncertainties for a Basic Lap Joint , 2017 .

[42]  Christoph W. Schwingshackl,et al.  Modelling the nonlinear behaviour of an underplatform damper test rig for turbine applications , 2017 .

[44]  Michael Feldman,et al.  Non-linear system vibration analysis using Hilbert transform--I. Free vibration analysis method 'Freevib' , 1994 .

[45]  Matthew Robert Brake,et al.  Variability and Repeatability of Jointed Structures with Frictional Interfaces , 2014 .

[46]  D. A. Hills,et al.  Investigation of non-Coulomb friction behaviour in reciprocating sliding , 2011 .

[47]  Matthew S. Allen,et al.  Effect of Far-Field Structure on Joint Properties , 2017 .

[48]  G. Kerschen,et al.  Robust Subspace Identification of a Nonlinear Satellite Using Model Reduction , 2016 .