Dynamical Systems in Applications (eBook)

Łódź, Poland December 11–14, 2017

Jan Awrejcewicz (Herausgeber)

eBook Download: PDF

2018
506 Seiten
Springer International Publishing (Verlag)
978-3-319-96601-4 (ISBN)

Infos

The book is intended for all those who are interested in application problems related to dynamical systems. It provides an overview of recent findings on dynamical systems in the broadest sense. Divided into 46 contributed chapters, it addresses a diverse range of problems.

The issues discussed include: Finite Element Analysis of optomechatronic choppers with rotational shafts; computational based constrained dynamics generation for a model of a crane with compliant support; model of a kinetic energy recuperation system for city buses; energy accumulation in mechanical resonance; hysteretic properties of shell dampers; modeling a water hammer with quasi-steady and unsteady friction in viscoelastic conduits; application of time-frequency methods for the assessment of gas metal arc welding conditions; non-linear modeling of the human body's dynamic load; experimental evaluation of mathematical and artificial neural network modeling for energy storage systems; interaction of bridge cables and wake in vortex-induced vibrations; and the Sommerfeld effect in a single DOF spring-mass-damper system with non-ideal excitation.

Inhalt

Preface 6
Contents 12
Gait Transitions in Artificial Non-standard Snake-Like Locomotion Systems Using Adaptive Control 17
1 Introduction 18
2 Kinematic Model 18
3 Gaits 20
4 Dynamic Model 21
5 Gait Transition 24
6 Simulation 26
7 Conclusion and Outlook 26
References 28
The Experimental Determination of Bearings Dynamic Coefficients in a Wide Range of Rotational Speeds, Taking into Account the Resonance and Hydrodynamic Instability 29
1 Introduction 30
2 Basic Technical Characteristics of the Test Rig 31
3 Calculation Procedure 33
4 Measurement Results 34
5 Verification of the Obtained Results 36
6 Summary and Conclusions 38
References 39
Analysis of Rail Vibration Signal Time and Frequency Structures Generated by Different Mechanisms 41
1 Introduction 42
2 Research Methodology 42
3 Research Results 45
4 Conclusions 47
References 50
Model Based Research on ICE Engine Powered by Alternative Fuels 51
1 Introduction 52
2 Test Stand Description 52
2.1 Research Results—Indicator Pressure Graphs 53
3 Analytical Background 53
3.1 Analytical Description of 2DOF Crankshaft Assembly 53
3.2 Analytical Dependencies of Thermodynamic Domain 56
4 Simulation Model and Simulation Results 59
5 Conclusions 60
References 62
Experimental Evaluation of Mathematical and Artificial Neural Network Modeling of Energy Storage System 64
1 Introduction 65
2 Test Stand with the Energy Storage System 65
3 Mathematical Model of the Electrochemical Energy Storage System 67
4 Design of the Artificial Neural Network Model of the Energy Storage System 68
5 Evaluation of the Analytical and ANN Models of Energy Storage System 70
5.1 Experimental Datasets 70
5.2 Evaluation of Analytical Model of Energy Storage System 70
5.3 Evaluation of R-ANN Model of Energy Storage System 71
5.4 Comparison of Analytical and R-ANN Models of Energy Storage System 73
6 Conclusions 74
References 75
Finite Element Analysis of a Configuration of Optomechatronic Choppers with Rotational Shafts 78
1 Introduction 78
2 Choppers with Rotational Cylindrical Shafts 79
3 FEA of Choppers with Rotational Shafts 79
4 Conclusions 85
References 86
Charpy Impact Testing Machine in Modeling of Vehicle Frontal Crash with Street Lights 87
1 Introduction 87
2 Passive Safety 88
3 Tests on Modified Charpy Impact Testing Machine 90
4 Numerical Analysis of a Crash with Street Lights 94
5 Conclusions 96
References 97
Interaction of Bridge Cables and Wake Behind in the Vortex Induced Vibrations 99
1 Introduction 100
2 Mathematical Formulation 101
2.1 Formulation of the Structural and Vortex Induced Model 101
2.2 Fluid Model 102
3 Analysis of Lift Equation 102
4 Analysis and Discussion of System Vibrations 103
4.1 Analysis of Lift 103
4.2 Analysis of Cable with Damper Vibrations 105
5 Conclusions 105
References 108
Steady-State Behaviour of the Rigid Jeffcott Rotor Comparing Various Analytical Approaches to the Solution of the Reynolds Equation for Plain Journal Bearing 109
1 Introduction 109
2 Jeffcott Rotor with Hydrodynamic Journal Bearing Forces 111
3 Application and Results 113
4 Conclusions 116
References 117
Numerical Investigation on Dynamic Performance of a Multi-storey Steel Structure Model and Comparison with Experimental Results 118
1 Introduction 119
2 Experimental Model and Shaking Table Investigation 119
3 Numerical Analysis 120
4 Final Summary and Conclusions 123
References 125
Accumulation of the Energy in Mechanical Resonance 127
1 Introduction 127
2 Energy in an Oscillator 128
3 Force Balance in Resonance 130
4 Energy Accumulation in an Oscillator and in a Fly-Wheel 131
5 Application Examples of Using Mechanical Resonance 133
5.1 Impact Working Machines 133
5.2 Piston Machines 134
6 Conclusions 135
References 136
Application of Time-Frequency Methods for Assessment of Gas Metal Arc Welding Condition 137
1 Introduction 137
1.1 Time-Frequency Representation of Signals 138
2 Case Study 139
2.1 TFR of Welding Signals 140
2.2 Detection of Welding Instabilities 143
3 Conclusions 145
References 145
A 3-Link Model of a Human for Simulating a Fall in Forward Direction 146
1 Introduction 147
2 Biomechanical Model of a Human 148
3 Experimental Investigations 152
4 Numerical Results 154
5 Conclusions 156
References 156
Reflectance and Transmittance of Cholesteric Liquid Crystal Sandwiched Between Polarizers 158
1 Introduction 158
2 Methods—A Brief Literature Review 159
3 Model of the Considered Optical System 160
4 Simulation Results 163
5 Conclusions 167
References 168
Analysis of Nonlinear Dynamic Behavior of a Rotating Electrical Machine Rotor-Bearing System Using Optimal Auxiliary Functions Method 170
1 Introduction 171
2 Application of OAFM to the Investigation of Nonlinear Vibration of the Considered Electrical Machine 173
3 Numerical Examples 175
3.1 Case 1 176
3.2 Case 2 176
4 Conclusions 177
References 178
Development of a Computational Based Reference Dynamics Model of a Flexible Link Manipulator 180
1 Introduction 181
2 Mathematical Model of a Three Link Manipulator Model with a Flexible Link 183
3 Numerical Study Results for the Flexible Link Manipulator Model 188
4 Conclusions 189
References 191
Optimization of Geometry of Cavitational Tunnel Using CFD Method 192
1 Introduction 192
2 Numerical Model 194
2.1 Physical Model 194
2.2 The Geometric Model of Cavitational Tunnel and Boundary Conditions 195
3 Analysis of Simulation and Test Results 197
3.1 Analysis of Velocity 197
3.2 Analysis of Pressure 199
3.3 Analysis of Stream of Liquid 201
4 Conclusions 202
References 203
Application of Numerical Simulations on 10GN2MFA Steel Multilayer Welding 204
1 Introduction 204
2 Realization of the Welding Experiment on 10GN2MFA Steel Specimens 206
3 Numerical Simulation of Welding Process in SYSWELD Software 206
4 Conclusions 214
References 214
Application of Time-Frequency Analysis of Acoustic Signal to Detecting Flat Places on the Rolling Surface of a Tram Wheel 216
1 Introduction 216
2 The JTFA Analysis Method 218
3 Research Methodology 219
3.1 Measurements Assumptions 219
3.2 Measurement Points 219
3.3 Measurement Devices 220
3.4 Parameters of Recording Acoustic Signals 220
4 Research Results 221
4.1 Research Analysis 221
4.2 Algorithm of the Acoustic Signals Processing 224
5 Conclusions 225
References 226
Development of a Prototype Dynamic Weighing System for Single Bucket Excavator 227
1 Introduction 228
1.1 Dynamic Payload Weighing Systems for Single Bucket Excavators—Overview 228
2 Concept of Original Onboard Payload Weighing System for Single Bucket Excavators 230
3 Estimation of Mass Parameters of Excavator’s Manipulator Bodies 233
4 Original Onboard Weighing System for Single Bucket Excavators—Implementation and Research 236
5 Conclusions 237
References 238
Design of Illumination and Lighting Visualization by Simulation Methods 239
1 Introduction 239
2 Light-Technical Models Creation 240
3 Methods Used in Computer Simulation 240
3.1 Ray Tracing Technique 241
3.2 Radiosity Method 242
4 Simulation of Lighting in Dialux 244
5 Conclusions 247
References 248
Optimal Design of Multibody Systems Using the Adjoint Method 250
1 Introduction 251
2 Design Sensitivity Analysis 251
2.1 Forward Solution of Equations of Motion 252
2.2 Backward Solution of Adjoint Equations 254
3 Numerical Examples 256
3.1 Optimization of a Mass Attached to a Pendulum 257
3.2 Vertical Double Mass Damping System 258
4 Summary and Conclusions 261
References 262
Non-linear Modelling of Human Body Dynamic 263
1 Introduction 264
2 Model of a Human Body 264
3 Model Verification 272
4 Conclusions 273
References 274
Dynamics of a Portable Module Handling System 276
1 Introduction 276
2 LMHS Basic Assumptions and Layout 277
3 Mathematical Model 277
3.1 Transformation of Coordinates 278
3.2 Generalized Coordinates of the System 279
3.3 Guiding Elements 280
3.4 Drive Elements 281
3.5 Equations of Motion 282
4 Example Simulations 282
5 Conclusions 284
References 285
Dynamic Analysis of a Beam with Additional Auxiliary Mass Spatial Via Spectral Element Method 286
1 Introduction 287
2 Beam Spectral Element with Additional Mass 288
3 Experimental Procedure 290
4 Numerical Results 292
5 Conclusions 295
References 295
Influence of Air Temperature on Dynamic Properties of Pipes Supplied with Pulsating Flow 297
1 Introduction 297
2 Principles of Method of Characteristics 298
3 Test Rig—Main Assumptions 300
4 Experimental and Simulation Results 301
4.1 Experimental and Simulation Results—Discussion 305
5 Conclusions 308
References 308
Model of Kinetic Energy Recuperation System for City Buses 309
1 Introduction 309
1.1 Concept of City Bus KERS Model 310
2 KERS Interaction with City Bus Transmission 312
3 KERS Interaction with City Bus Transmission—Selected Results 312
4 Conclusions 315
References 316
Signal Prediction in Bilateral Teleoperation with Force-Feedback 317
1 Introduction 317
2 Problem Statement 319
3 The Prediction Block 320
4 Inverse Model with Prediction of Input and Output Signals 322
5 The Experiment 325
6 Conclusion 327
References 327
Method of Direct Separation of Motions Applied to a Non-ideal Electromechanical Pendulum System 330
1 Introduction 330
2 Governing Differential Equations 332
3 Method of Direct Separation of Motions 333
4 Conclusions 337
References 337
Problem of Dynamics of an Elastic Rod with Decreasing Function of Elastic-Plastic External Resistance 339
1 Introduction 339
2 Formulation of the Problem 340
3 Analytical Solution 341
4 Analysis of the Results 342
5 Conclusions 345
References 345
Hysteretic Properties of Shell Dampers 347
1 Introduction 347
2 Formulation of the Problem 349
3 Analysis of the Results 349
4 Conclusions 353
References 354
Modal Analysis of the Vehicle Model 355
1 Introduction 356
2 Simplified Body Model 357
3 Modal Analysis of Mechanical System in ANSYS Program 357
4 Verification of the Numerical Model 361
5 Results of Numerical and Experimental Solution 365
6 Conclusions 366
References 366
Directional Stability Control of Body Steer Wheeled Articulated Vehicles 367
1 Introduction 367
2 Simulation Testing of the Anti-oscillation System in Steering System 369
3 Conclusion 374
References 374
Influence of the Mechanical Properties of Pantograph Structural Parts on Its Interaction with a Catenary 376
1 Introduction 377
2 Case Study 378
3 Multi-domain Simulation 380
4 Results 381
5 Conclusions 386
References 386
Modelling Water Hammer with Quasi-Steady and Unsteady Friction in Viscoelastic Pipelines 388
1 Introduction 388
2 Modelling Liquid Flow in a Viscoelastic Pipe 391
2.1 Modified Solution 391
2.2 General Final Equations 393
3 Simulations 394
3.1 Experimental Setup Details 394
3.2 Results of Simulations 397
3.3 Short Discussion 397
4 Conclusions 400
References 400
The Concept of Autonomous Damper in Vehicle Suspension 403
1 Introduction 403
2 Research Problem 405
3 Vibration Damper Proposal 407
4 Simulation Verification of Vibration Damper Model Assumptions 408
5 Summary 410
References 411
Validation of the Numerical Model of Impuls I Electric Multiple Unit Driver’s Cab 413
1 Introduction 413
2 Experimental Tests 414
3 Numerical Model 417
4 Validation of the Numerical Model 419
5 Conclusions 422
References 423
Approach for Determination of Functioning of Lower Limb Muscles 425
1 Introduction 426
2 Method 426
3 Application 430
4 Discussion 431
5 Conclusions 437
References 440
Modeling and Control of Motion Systems for an Electro-Hydraulic Tripod Manipulator 441
1 Introduction 441
2 Test Stand Construction 442
3 Kinematic Model of the Manipulator 443
4 Dynamic Model of the Manipulator 446
4.1 Dynamic Model of the Hydraulic Servo System 448
5 Control Design 449
6 Experimental Results 450
7 Conclusions 450
References 451
Support Reaction in the Brachistochrone Problem in a Resistant Medium 453
1 Introduction 453
2 Problem Formulation 454
3 The Study of the Reaction's Sign 456
4 Conclusions 461
References 462
Free Vibration of Cantilever Bars Having a Shape of Solid and Hollow Curvilinear Truncated Cone 463
1 Introduction 463
2 Cantilever Bar Having the Shape of Solid of Revolution with the Generatrix Described by an Exponential Curve 464
3 Computational Examples, Accuracy and Comparison of Results 469
4 Summary and Conclusions 473
References 473
Four-Bar Mechanism Substitution for Balance Board Experiments: A Parametric Study 475
1 Introduction 476
2 Kinematic Analysis 476
2.1 Balance Board 477
2.2 Substituting Mechanism 478
2.3 Optimization of the Substituting Mechanism 480
3 Dynamic Analysis 481
3.1 Dynamic Model of a Human Standing on the Balance Board 482
3.2 Dynamic Model of a Human Standing on the Substituting Mechanism 482
3.3 Computation of Ankle Torques During Human Balancing 483
3.4 Stability Diagrams 483
3.5 Comparison of Stability Properties in an Illustrative Example 483
4 Conclusions 485
References 486
Numerical and Experimental Modal Analysis of Laminated Glass Beams 487
1 Introduction 487
2 Properties of Laminated Glass Specimens 488
3 Finite Element Solver for Complex-Eigenvalue Analysis 490
4 Experimental Testing 493
5 Validation and Discussion 494
5.1 Natural Frequencies 494
5.2 Loss Factors 494
6 Conclusions 497
References 497
Methods of Simulation Investigations of Non-linear Vibrations in the Steering System of a Motorcycle 498
1 Introduction 498
2 Modeling of Torsional Vibrations with Using Luz(…) and Tar(…) Projections 499
3 Research Software for the Simulation and Analyses of Non-linear Vibrations 502
4 Example Results of Simulation Tests and Vibration Analyses 503
5 Conclusions 506
References 507

Produkt-Details

• Erscheint lt. Verlag: 1.9.2018
• Reihe/Serie: Springer Proceedings in Mathematics & Statistics
• Reihe/Serie: Springer Proceedings in Mathematics & Statistics
• Zusatzinfo: XV, 506 p. 320 illus., 221 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik ► Bauwesen
• Schlagworte: Analytical/numerical Methods • Asymptotic Methods in Linear Dynamics • Bifurcation • Chaos • Control • Ibration • Lumped and Continuous Systems • Non-smooth Systems • Ordinary differential equations • stability
• ISBN-10: 3-319-96601-4 / 3319966014
• ISBN-13: 978-3-319-96601-4 / 9783319966014