Complex dynamics of a nonlinear aerospace structure: numerical continuation and normal modes

This paper investigates the dynamics of a real-life aerospace structure possessing a strongly nonlinear component with multiple mechanical stops. A full-scale finite element model is built for gaining additional insight into the nonlinear dynamics that was observed experimentally, but also for uncovering additional nonlinear phenomena, such as quasiperiodic regimes of motion. Forced/unforced, damped/undamped numerical simulations are carried out using advanced techniques and theoretical concepts such as numerical continuation and nonlinear normal modes.

[1]  Ali H. Nayfeh,et al.  Analysis and Application of a Nonlinear Vibration Absorber , 2000 .

[2]  Christophe Pierre,et al.  Normal Modes for Non-Linear Vibratory Systems , 1993 .

[3]  Massimo Ruzzene,et al.  Modal Analysis of a Nonlinear Periodic Structure with Cyclic Symmetry , 2009 .

[4]  D. J. Ewins,et al.  Advanced Modeling of Underplatform Friction Dampers for Analysis of Bladed Disk Vibration , 2007 .

[5]  Michael Link,et al.  NON-LINEAR EXPERIMENTAL MODAL ANALYSIS AND APPLICATION TO SATELLITE VIBRATION TEST DATA , 2011 .

[6]  Y. Kuznetsov Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.

[7]  Michael Link,et al.  An Approach to Non-linear Experimental Modal Analysis , 2011 .

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

[9]  Alexander F. Vakakis,et al.  Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment , 2005 .

[10]  Gaëtan Kerschen,et al.  Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques , 2009 .

[11]  Denis Laxalde,et al.  Qualitative analysis of forced response of blisks with friction ring dampers , 2007, 0801.4350.

[12]  Bart Peeters,et al.  Nonlinear dynamic analysis of an F-16 aircraft using GVT data , 2013 .

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

[14]  A. G. Russell Thick Skin, Faceted, CFRP, Monocoque Tube Structure for Smallsats , 2001 .

[15]  R. Seydel Practical Bifurcation and Stability Analysis , 1994 .

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

[17]  Alexander F. Vakakis,et al.  NON-LINEAR NORMAL MODES (NNMs) AND THEIR APPLICATIONS IN VIBRATION THEORY: AN OVERVIEW , 1997 .

[18]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[19]  Claude-Henri Lamarque,et al.  Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results , 2007 .

[20]  Mark H Lowenberg,et al.  Numerical Continuation Applied to Landing Gear Mechanism Analysis , 2011 .

[21]  Denis Laxalde,et al.  Complex non-linear modal analysis for mechanical systems : Application to turbomachinery bladings with friction interfaces , 2009 .

[22]  Gaëtan Kerschen,et al.  Nonlinear Normal Modes of a Full-Scale Aircraft , 2011 .

[23]  G. T. Zheng,et al.  Parametric Study for Dynamics of Spacecraft with Local Nonlinearities , 2010 .

[24]  Jonathan E. Cooper,et al.  Identification of a Nonlinear Wing Structure Using an Extended Modal Model , 2009 .

[25]  Frank Schilder,et al.  Recipes for Continuation , 2013, Computational science and engineering.

[26]  Dennis Goege,et al.  Identification of weak non-linearities within complex aerospace structures , 2012 .

[27]  G. Kerschen,et al.  Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems , 2008 .

[28]  Emilio Freire,et al.  Continuation of periodic orbits in conservative and Hamiltonian systems , 2003 .

[29]  Ludovic Renson,et al.  Nonlinear modal analysis of the SmallSat spacecraft , 2012 .

[30]  Gaëtan Kerschen,et al.  Nonlinear Modal Analysis of a Full-Scale Aircraft , 2013 .

[31]  D. J. Ewins,et al.  Identifying and quantifying structural nonlinearities in engineering applications from measured frequency response functions , 2011 .

[32]  Javier Rodríguez Ahlquist,et al.  Assessment of Nonlinear Structural Response in A400M GVT , 2011 .

[33]  L. Renson,et al.  An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems , 2014, Meccanica.

[34]  Alexander F. Vakakis,et al.  Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments , 2009 .

[35]  Kelly S. Carney,et al.  Nonlinear Dynamic Behavior in the Cassini Spacecraft Modal Survey , 1997 .

[36]  Sami F. Masri,et al.  A Nonparametric Identification Technique for Nonlinear Dynamic Problems , 1979 .