PREFACE

1. INTRODUCTION

2. LINEAR OSCILLATOR AND A NON-IDEAL ENERGY SOURCE

2.1. Simple degree of freedom oscillator coupled with a non-ideal energy source

2.1.1. Analytical solving procedure

2.1.2. Sommerfeld effect

2.1.3. Model analogy and numerical simulation

2.1.4. Stability analysis

2.2. Oscillator with clearance coupled with a non-ideal source

2.2.1. Model of the system

2.2.2. Transient motion of the system

2.2.3. Steady-state motion of the system

2.2.4. Chaotic motion

2.2.5. Chaos control

2.3. Conclusion

2.4. References

3. NONLINEAR ONE-DEGREE-OF-FREEDOM OSCILLATOR INTERACTING WITH A NON-IDEAL ENEGY SOURCE

3.1. Stable Duffing oscillator coupled with a non-ideal energy source

3.2. Bistable Duffing oscillator coupled with a non-ideal energy source

3.3. Pure strong nonlinear oscillator coupled with a non-ideal energy source

3.4. Conclusion

3.5. References

4. NON-IDEAL VIBRATING SYSTEMS WITH DAMPERS

4.1. System with electromechanical vibration absorber

4.2. System with magnetically levitated vibrating system

4.3. System with magnetic rheological damper (MRD)

4.4. References

5. TWO-DEGREE-OF-FREEDOM OSCILLATOR INTERACTING WITH A NON-IDEAL ENEGY SOURCE

5.1. Non-ideal energy source on the vibrating foundation

5.2. Non-ideal vibrating system coupled to a magneto-rheological damper

5.3. References

6. VIBRATION OF A NON-IDEAL ROTOR SYSTEM

7. PORTAL FRAME SUPPORTING NON-IDEAL ENERGY SOURCES

7.1. Regular and chaotic motion in a non-ideal portal frame system

7.2. Self-synchronization of two non-ideal sources supported by a portal frame

7.3. Self-synchronization of four non-ideal exciters

7.4. References

8. APPLICATION OF NON-IDEAL SYSTEMS IN ENERGY HARVESTING

8.1. Non-ideal energy harvesting

8.2. Energy harvesting system with piezoelectric coupling

8.3. Non-ideal portal frame in energy harvester

9. APPENDIX

INDEX