Model Reduction and Lumped Models for Jointed Structures

The jointed structures are widely spread but their behaviour is quite hard to model and to simulate. The talk deals with a decomposition in linear and non-linear substructures that allows to make the simulations easier. The authors show that the modal subspace is not optimal to reduce the order of the model. Another choice of reduction subspace is shown to be more optimal as it requires less state-variables and leads to a better correlation with Full Order Models. Finally, the authors show how it is possible to characterize experimentally the joints by loading them in the reduction subspace and to integrate an experimental model in the reduce order simulations of the structure.

[1]  C. Canudas de Wit,et al.  Dynamic tire friction models for vehicle traction control , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[2]  Z. Qu Model Reduction for Dynamical Systems with Local Nonlinearities , 2002 .

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

[4]  Gaël Chevallier,et al.  Improvement of measurement techniques for damping induced by micro-sliding , 2013 .

[5]  Gaël Chevallier,et al.  MICRO-SLIP INDUCED DAMPING IN PLANAR CONTACT UNDER CONSTANT AND UNIFORM NORMAL STRESS , 2010 .

[6]  Craig A. Rogers,et al.  Energy dissipation through joints: theory and experiments , 2000 .

[7]  Gaël Chevallier,et al.  A numerical tool for the design of assembled structures under dynamic loads , 2013 .

[8]  Wilfred D. Iwan,et al.  On a Class of Models for the Yielding Behavior of Continuous and Composite Systems , 1967 .

[9]  A. F. Metherell,et al.  Instantaneous Energy Dissipation Rate in a Lap Joint—Uniform Clamping Pressure , 1968 .

[10]  Daniel J. Segalman,et al.  Model Reduction of Systems With Localized Nonlinearities , 2006 .

[11]  Renato Barboni,et al.  On the damping effect due to bolted junctions in space structures subjected to pyro-shock , 2007 .

[12]  S. W. E. Earles,et al.  Theoretical Estimation of the Frictional Energy Dissipation in a Simple Lap Joint , 1966 .

[13]  Wei Chen,et al.  Structural damping caused by micro-slip along frictional interfaces , 2005 .

[14]  Gaël Chevallier,et al.  Nonlinear model order reduction of jointed structures for dynamic analysis , 2014 .

[15]  Gaël Chevallier,et al.  A Numerical Quasi-Static Method for the Identification of Frictional Dissipation in Bolted Joints , 2012 .