Nonlinear Dynamics, Volume 1

Contents 1 Nonlinear Vibrations of a Beam with a Breathing Edge Crack Using Multiple Trial Functions ............... 1 Ali C. Batihan and Ender Cigeroglu 2 Enforcing Linear Dynamics Through the Addition of Nonlinearity............................................... 11 G. Habib, C. Grappasonni, and G. Kerschen 3 Experimental Analysis of a Softening-Hardening Nonlinear Oscillator Using Control-Based Continuation ........................................................................................... 19 L. Renson, D.A.W. Barton, and S.A. Neild 4 Experimental Nonlinear Dynamics of Laminated Quasi-Isotropic Thin Composite Plates..................... 29 H.G. Kim and R. Wiebe 5 Experimental Identification of a Structure with Internal Resonance.............................................. 37 Alexander D. Shaw, Tom L. Hill, Simon A. Neild, and Michael I. Friswell 6 Shock Response of an Antenna Structure Considering Geometric Nonlinearity................................. 47 Yunus Emre Ozcelik, Ender Cigeroglu, and Mehmet Caliskan 7 Investigation on Friction-Excited Vibration of Flexibly Supported Shafting System............................ 61 Wenyuan Qin, Zhenguo Zhang, Suining Hu, and Zhiyi Zhang 8 Resonant Analysis of Systems Equipped with Nonlinear Displacement-Dependent (NDD) Dampers ......... 67 Javad Jahanpour, Shahab Ilbeigi, and Mojtaba Porghoveh 9 Performance Comparison Between a Nonlinear Energy Sink and a Linear Tuned Vibration Absorber for Broadband Control...................................................................................... 83 Etienne Gourc, Lamberto Dell Elce, Gaetan Kerschen, Guilhem Michon, Gwenaelle Aridon, and Aurelien Hot 10 Experimental and Numerical Investigation of the Nonlinear Bending-Torsion Coupling of a Clamped-Clamped Beam with Centre Masses .................................................................. 97 David A. Ehrhardt, Simon A. Neild, and Jonathan E. Cooper 11 Tracking of Backbone Curves of Nonlinear Systems Using Phase-Locked-Loops ............................... 107 Simon Peter, Robin Riethmüller, and Remco I. Leine 12 The Importance of Phase-Locking in Nonlinear Modal Interactions.............................................. 121 T.L. Hill, A. Cammarano, S.A. Neild, and D.J. Wagg 13 A Study of the Modal Interaction Amongst Three Nonlinear Normal Modes Using a Backbone Curve Approach ......................................................................................................... 131 X. Liu, A. Cammarano, D.J. Wagg, and S.A. Neild 14 Investigating Nonlinear Modal Energy Transfer in a Random Load Environment.............................. 141 Joseph D. Schoneman and Matthew S. Allen vii

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