MECHANICAL VIBRATIONS OFDISCONTINUOUS SYSTEMS -- MECHANICAL VIBRATIONS OFDISCONTINUOUS SYSTEMS -- CONTENTS -- INTRODUCTION -- NONLINEAR VIBRATIONS -- BACKGROUND -- STATE SPACE DYNAMICS -- BIFURCATIONS -- Saddle Bifurcation -- Trans-Critical Bifurcation -- Super Critical Bifurcation -- Sub Critical Bifurcation -- TWO-SCALE METHOD -- AVERAGE VALUE METHOD -- POINCARE MAPS -- APPENDIX -- MECHANICAL SYSTEMS WITHSTIFFNESS DISCONTINUITIES -- INTRODUCTION -- GEARBOXES -- BEARINGS -- Sliding Bearings -- Backlash -- ROTOR RUBBING -- STIFFNESS DISCONTINUITIESDUE TO LARGE DEFORMATIONS -- INTRODUCTION -- TRUST ELEMENTS -- BEAM ELEMENTS -- First Approach -- Second Approach -- Experimental Results -- MECHANICAL SYSTEMS THATCOMBINE SOFT AND HARD MATERIALS -- INTRODUCTION -- THE ISOLATOR DESIGN -- VISCOELASTICITY -- Unidirectional Model -- Bidirectional Model -- TORSONIAL VIBRATION DAMPER -- SOLUTION METHODS -- INTRODUCTION -- SYSTEM IDENTIFICATION -- Harmonic Distortion -- Homogeneity -- Reciprocity -- PHASE DIAGRAM ANALYSIS -- TIME-FREQUENCY ANALYSIS -- Short Time Fourier Transform -- Wavelet Transform -- EXAMPLE -- STFT -- Wavelet Transform -- REFERENCES -- INDEX.