Experiments and numerical simulations of nonlinear vibration responses of an assembly with friction joints – Application on a test structure named “Harmony”

Abstract In presence of friction, the frequency response function of a metallic assembly is strongly dependent on the excitation level. The local stick-slip behavior at the friction interfaces induces energy dissipation and local stiffness softening. These phenomena are studied both experimentally and numerically on a test structure named “Harmony”. Concerning the numerical part, a classical complete methodology from the finite element and friction modeling to the prediction of the nonlinear vibrational response is implemented. The well-known Harmonic Balance Method with a specific condensation process on the nonlinear frictional elements is achieved. Also, vibration experiments are performed to validate not only the finite element model of the test structure named “Harmony” at low excitation levels but also to investigate the nonlinear behavior of the system on several excitation levels. A scanning laser vibrometer is used to measure the nonlinear behavior and the local stick-slip movement near the contacts.

[1]  M. H. Bertram,et al.  Effect of Surface Distortions on the Heat Transfer to a Wing at Hypersonic Speeds , 1963 .

[2]  Walter Sextro,et al.  The Calculation of the Forced Response of Shrouded Blades with Friction Contacts and Its Experimental Verification , 2000 .

[3]  Karl Popp,et al.  A Historical Review on Dry Friction and Stick-Slip Phenomena , 1998 .

[4]  Denis Laxalde,et al.  Experimental and Numerical Investigations of Friction Rings Damping of Blisks , 2008 .

[5]  J. Griffin,et al.  An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems , 1989 .

[6]  David J. Ewins,et al.  Underplatform Dampers for Turbine Blades: Theoretical Modeling, Analysis, and Comparison With Experimental Data , 2001 .

[7]  G. Tomlinson,et al.  Nonlinearity in Structural Dynamics: Detection, Identification and Modelling , 2000 .

[8]  Jean-Jacques Sinou,et al.  Multi-harmonic measurements and numerical simulations of nonlinear vibrations of a beam with non-ideal boundary conditions , 2014, Commun. Nonlinear Sci. Numer. Simul..

[9]  L. Gaul,et al.  Nonlinear dynamics of structures assembled by bolted joints , 1997 .

[10]  Earl H. Dowell,et al.  Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method , 1985 .

[11]  Olivier Poudou,et al.  Modeling and Analysis of the Dynamics of Dry-Friction-Damped Structural Systems. , 2007 .

[12]  Stefano Zucca,et al.  Bi-linear reduced-order models of structures with friction intermittent contacts , 2014 .

[13]  Jean-Jacques Sinou,et al.  Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings , 2009 .

[14]  D. J. Ewins,et al.  Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Disks , 2003 .

[15]  Ibrahim A. Sever,et al.  Experimental and Numerical Investigation of Rotating Bladed Disk Forced Response Using Under-Platform Friction Dampers , 2007 .

[16]  W. Iwan A Distributed-Element Model for Hysteresis and Its Steady-State Dynamic Response , 1966 .

[17]  Alexander F. Vakakis,et al.  Normal modes and localization in nonlinear systems , 1996 .

[18]  P. Dahl Solid Friction Damping of Mechanical Vibrations , 1976 .

[19]  A. V. Srinivasan,et al.  Dry Friction Damping Mechanisms in Engine Blades , 1982 .

[20]  Dominik Süß,et al.  Investigation of a jointed friction oscillator using the Multiharmonic Balance Method , 2015 .

[21]  Christophe Pierre,et al.  HYBRID FREQUENCY-TIME DOMAIN METHODS FOR THE ANALYSIS OF COMPLEX STRUCTURAL SYSTEMS WITH DRY FRICTION DAMPING , 2003 .

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

[23]  Jean-Jacques Sinou,et al.  Non-Linear Periodic and Quasi-Periodic Vibrations in Mechanical Systems - On the use of the Harmonic Balance Methods , 2011 .

[24]  Alexander F. Vakakis,et al.  Nonlinear normal modes, Part I: A useful framework for the structural dynamicist , 2009 .

[25]  David J. Ewins,et al.  MODELLING TWO-DIMENSIONAL FRICTION CONTACT AND ITS APPLICATION USING HARMONIC BALANCE METHOD , 1996 .

[26]  D. J. Ewins,et al.  Experimental and Numerical Investigation of Rotating Bladed Disk Forced Response Using Underplatform Friction Dampers , 2008 .

[27]  Jerzy Warminski Nonlinear dynamic phenomena in mechanics , 2012 .

[28]  Eric Chatelet,et al.  Dissipated energy and boundary condition effects associated to dry friction on the dynamics of vibrating structures , 2011 .

[29]  Walter Sextro,et al.  Optimization of Interblade Friction Damper Design , 2000 .

[30]  Walter Sextro,et al.  Vibration Damping by Friction Forces: Theory and Applications , 2003 .

[31]  Guy de Collongue,et al.  Numerical and Experimental Study of Friction Damping in Blade Attachments of Rotating Bladed Disks , 2006 .

[32]  F. Thouverez,et al.  A dynamic Lagrangian frequency–time method for the vibration of dry-friction-damped systems , 2003 .

[33]  J. Guillen,et al.  An Efficient, Hybrid, Frequency-Time Domain Method for The Dynamics of Large-Scale Dry-Friction Damped Structural Systems. , 1999 .

[34]  David J. Ewins,et al.  Underplatform Dampers for Turbine Blades: Theoretical Modelling, Analysis and Comparison With Experimental Data , 1999 .

[35]  Jerry H. Griffin,et al.  Characterization of Turbine Blade Friction Dampers , 2005 .