Preface	6
	Contents	8
	1 Introduction	12
	References	17
	2 Linear Oscillator and a Non-ideal Energy Source	20
	2.1 Simple Degree of Freedom Oscillator Coupled with a Non-ideal ƒ	21
	2.1.1 Analytical Solving Procedure	23
	2.1.2 Steady-State Solution and Sommerfeld Effect	25
	2.1.3 Model Analogy and Numerical Simulation	29
	2.1.4 Stability Analysis	32
	2.2 Oscillator with Variable Mass Excited with Non-ideal Source	33
	2.2.1 Model of the System with Variable Mass	34
	2.2.2 Model of the System with Constant Mass	36
	2.2.3 Comparison of the Systems with Constant and Variable Mass	38
	2.3 Oscillator with Clearance Coupled with a Non-ideal Source	41
	2.3.1 Model of the System	42
	2.3.2 Transient Motion of the System	44
	2.3.3 Steady-State Motion of the System	48
	2.3.4 Chaotic Motion	53
	2.3.5 Chaos Control	55
	2.4 Conclusion	56
	References	57
	3 Nonlinear Oscillator and a Non-ideal Energy Source	59
	3.1 Nonlinear Oscillator Coupled with a Non-ideal Motor ƒ	60
	3.1.1 Nonlinear Motor Torque Property	61
	3.1.2 Solution Procedure in General	63
	3.1.3 Steady-State Motion and Its Stability	67
	3.1.4 Characteristic Points on the Steady State Curves	68
	3.1.5 Suppression of the Sommerfeld Effect	69
	3.1.6 Conclusion	70
	3.2 Pure Nonlinear Oscillator and the Motor with Nonlinear Torque	70
	3.2.1 Approximate Solution Procedure	73
	3.2.2 Steady-State Motion and Its Properties	74
	3.2.3 Characteristic Points	76
	3.2.4 Suppression of the Sommerfeld Effect	77
	3.2.5 Numerical Examples	78
	3.3 Pure Strong Nonlinear Oscillator and a Non-ideal Energy Source	81
	3.3.1 Model of the System	83
	3.3.2 Analytical Solving Procedure	84
	3.3.3 Resonant Case and the Averaging Solution Procedure	86
	3.3.4 Suppression of the Sommerfeld Effect	91
	3.3.5 Numerical Examples of Non-ideal Driven Pure Nonlinear Oscillators	92
	3.3.6 Conclusion	100
	3.4 Stable Duffing Oscillator and a Non-ideal Energy Source	101
	3.4.1 Asymptotic Solving Method	103
	3.4.2 Stability of the Steady State Solution and Sommerfeld Effect	105
	3.4.3 Numerical Simulation and Chaotic Behavior	110
	3.4.4 Chaos Control	113
	3.4.5 Conclusion	115
	3.5 Bistable Duffing Oscillator Coupled with a Non-ideal Source	115
	3.5.1 Semi-trivial Solutions and Quenching of Amplitude	119
	3.5.2 Non-trivial Solutions and Their Stability	120
	3.5.3 Conclusion	122
	References	126
	4 Two Degree-of-Freedom Oscillator Coupled to a Non-ideal Source	131
	4.1 Model of the System	132
	4.2 Analytical Solution	134
	4.2.1 Steady-State Motion	137
	4.2.2 Stability Analysis	139
	4.3 Special Cases	140
	4.3.1 Resonance Frequencies in Orthogonal Directions Are Equal	140
	4.3.2 Resonance Frequency in One Direction Is Half of the Resonance frequency in Other Direction	144
	4.4 Numerical Simulation	147
	4.5 Conclusions	149
	References	150
	5 Dynamics of Polymer Sheets Cutting Mechanism	151
	5.1 Structural Synthesis of the Cutting Mechanism	153
	5.1.1 Comparison of the Simple, Eccentric and Two Slider-Crank mechanisms	155
	5.2 Kinematics of the Cutting Mechanism	156
	5.3 Dynamic Analysis of the Mechanism with Rigid Support	157
	5.3.1 Mathematical Model of the Mechanism	157
	5.3.2 Numerical Simulation	162
	5.3.3 Analytical Consideration	163
	5.3.4 Comparison of Analytical and Numerical Results	165
	5.4 Dynamics of the Cutting Mechanism with Flexible Support ƒ	165
	5.4.1 Mathematical Model of Motion of the Cutting Mechanism	166
	5.4.2 Ideal Forcing Conditions	171
	5.4.3 Non-ideal Forcing Conditions	173
	5.4.4 Non-stationary Motion	178
	5.5 Conclusion	180
	References	181
	6 Non-ideal Energy Harvester with Piezoelectric Coupling	183
	6.1 Constitutive Equation of the Piezoceramic Material	185
	6.2 Harvesting System with Ideal Excitation	186
	6.2.1 Analytical Procedure	189
	6.2.2 Harvester with Linear Piezoelectricity	192
	6.2.3 Harvester with Nonlinear Piezoelectricity	195
	6.3 Harvesting System with Non-ideal Excitation	197
	6.3.1 Model of the Non-ideal Mechanical System with Harvesting Device	197
	6.3.2 Analytical Solving Procedure	202
	6.3.3 Steady-State Motion	203
	6.3.4 Harvested Energy	206
	6.3.5 Comparison of the Analytical and Numerical Solutions	207
	6.3.6 Linear Energy Harvester	209
	6.3.7 Nonlinear Energy Harvesting	210
	6.3.8 Conclusion	210
	6.4 Harvester with Exponential Type Non-ideal Energy Source	211
	6.4.1 Numerical Simulation Results	213
	6.4.2 Linear Energy Harvesting	214
	6.4.3 Nonlinear Energy Harvesting	215
	6.4.4 Chaos in the System	216
	6.4.5 Control of the System	217
	6.4.6 Conclusion	219
	6.5 Non-ideal Portal Frame Energy Harvester Controlled with a Pendulum	221
	6.5.1 Numerical Simulation	224
	6.5.2 Conclusion	228
	References	228
	7 Instead Conclusions: Emergent Problems in Nowadays and Future Investigation	230
	Index	235