Optimized Engineering Vibration Isolation, Absorption and Control

This book presents the research results of advanced vibration control technology, based on two types of typical equipment in industrial engineering of China: power equipment and vibration-sensitive equipment. The main contents of this book include optimized active control strategy research, semi-active control research that can track and equivalently achieve active control effects, refined analysis of active control based on finite element method, research on the impact of vibration isolator layout on vibration isolation performance, passive and active control research based on system freedom decoupling and load decoupling, realized passive and active control research using quasi-zero stiffness system based on positive and negative stiffness, intelligent sensors optimization deployment of plane and space structure, and related key technology application cases in engineering applications. This book provides useful references for engineers and researchers in industrial engineering and technical support for practitioners in the development of China's high-end industry. Preface 6 Contents 8 About the Authors 13 1 Introduction 15 1.1 Background, Purpose, and Significance 15 1.2 Literature Research and Review 18 References 26 2 Particle Swarm Optimization 29 References 37 3 Optimization of Passive Isolation Systems 39 3.1 Uncontrolled Vibration Isolation for Power Equipment 39 3.1.1 Single-Stage Vibration Isolation System 39 3.1.2 Two-Stage Vibration Isolation System 41 3.1.3 Uncontrolled Vibration Isolation of Vibration-Sensitive Equipment 44 3.1.4 Two-Stage Vibration Isolation System 47 References 51 4 Optimized Active Control for Equipment 52 4.1 Optimized PID Active Control 52 4.1.1 PID Control Algorithm 52 4.1.2 Optimized PID Active Control for Power Equipment 54 4.1.3 Optimized PID Active Control for Sensitive Equipment 56 4.2 Optimized LQR Active Control 59 4.2.1 LQR Control Algorithm 59 4.2.2 Optimized LQR Active Control for Power Equipment 64 4.2.3 Optimized LQR Active Control for Sensitive Equipment 66 4.3 Optimized LQG Active Control 69 4.3.1 LQG Control Algorithm 69 4.3.2 Optimized LQG Active Control for Power Equipment 72 4.3.3 Optimized LQG Active Control for Sensitive Equipment 73 4.4 Optimized H∞ Active Control 76 4.4.1 H2/H∞ Control Algorithm 76 4.4.2 Optimized H∞ Active Control for Power Equipment 80 4.4.3 Optimized H∞ Active Control for Sensitive Equipment 82 4.5 Multi-objective Optimized H2/H∞ Active Control 85 4.5.1 Multi-objective H2/H∞ Control Algorithm 85 4.5.2 Multi-objective Optimized H2/H∞ Control for Power Equipment 87 4.5.3 Multi-objective Optimized H2/H∞ Control for Sensitive Equipment 90 4.6 Optimized VUFLC Active Control 91 4.6.1 Fuzzy Logic Control 91 4.6.2 Variable Universe Fuzzy Logic Control 95 4.6.3 Optimized VUFLC Active Control for Power Equipment 98 4.6.4 Optimized VUFLC Active Control for Sensitive Equipment 101 4.7 Active Control Strategy Based on the Multi-objective Control Output 104 4.7.1 Active Control Based on Multi-objective Control Output for Power Equipment 105 4.7.2 Active Control Based on the Multi-Objective Control Output for Sensitive Equipment 109 References 113 5 Semi-Active Control Tracking Active Control 115 5.1 MRD Semi-Active Control Technology 115 5.2 6-Segment Cubic Polynomial Mechanical Model for MRD 117 5.2.1 6-Order Polynomial Fitting 119 5.2.2 12-Order Polynomial Fitting 121 5.2.3 20-Order Polynomial Fitting 124 5.2.4 6-Segment Cubic Polynomial Model 124 5.2.5 MRD Open-Loop Control Strategy 133 5.3 Nonlinear Damping Force Tracking Based on MRD 136 5.3.1 Cubic Nonlinear Damping Force 137 5.3.2 Harmonic Nonlinear Damping Force 146 5.4 MRD-Based Tracking Semi-Active Variable Damping Control Force 155 5.4.1 Semi-Active Variable Damping Control for Power Equipment 155 5.4.2 Semi-Active Variable Damping Control for Sensitive Equipment 161 5.5 Equivalently Achieved Optimal Active Control Strategy Using MRD Semi-Active Control 163 5.5.1 Equivalently Achieved PSO-H∞ Optimal Active Control for Power Equipment 165 5.5.2 Equivalently Achieved PSO-H∞ Optimal Active Control for Sensitive Equipment 168 5.6 Equivalently Achieved Multi-Objective Control Output Active Control Strategy Using MRD Semi-Active Control 173 5.6.1 Equivalently Achieved Multi-Objective Control Output Active Control for Power Equipment 175 5.6.2 Equivalently Achieved Multi-Objective Control Output Active Control for Sensitive Equipment 176 5.7 Summary 177 References 182 6 Vibration Control for Equipment-Structure 184 6.1 Vibration Control Strategy for Power Equipment-Structure 185 6.1.1 TMD/ATMD Vibration Control for Power Equipment-Structure 185 6.1.2 SATMD Vibration Control for Power Equipment-Structure 190 6.2 Vibration Control Strategy for Sensitive Equipment-Structure 198 6.2.1 TMD/ATMD Vibration Control for Sensitive Equipment-Structure 198 6.2.2 SATMD Vibration Control for Sensitive Equipment-Structure 203 6.3 Vibration and Seismic Control Strategy for Sensitive Equipment-Isolated Frame Structure 207 6.3.1 Vibration and Seismic Investigation for Isolated Frame Structure 207 6.3.2 Isolated Frame Structure Equipped with Viscous Damper 212 6.3.3 Isolated Frame Structure Equipped with Active Control System 216 6.3.4 Isolated Frame Structure with Isolated Sensitive Equipment 221 6.3.5 Isolated Frame Structure with Actively Controlled Sensitive Equipment 222 References 227 7 Passive and Active Control Using Refined FEM Analysis 228 7.1 Passive Control Using Refined FEM Analysis 228 7.1.1 Single-Stage Vibration Isolation System 228 7.1.2 Two-Stage Vibration Isolation System 230 7.2 Active Control Using Refined FEM Analysis 234 7.2.1 Analytical Calculation of Active Control 235 7.2.2 Finite Element Calculation of Active Control 236 7.3 Performance Improvement of Vibration Isolation Base Using FEM 244 7.3.1 Design of Vibration Isolation Abutment 244 7.3.2 Additional Base Isolation 245 7.3.3 Additional Viscous Damper 248 7.3.4 Additional Active Vibration Control 251 7.4 Proposed Refined Numerical Calculation Model for Building Structure-Equipment 256 References 259 8 Decoupled Passive and Active Control 261 8.1 Vibration Isolation Performance Influence of Vibration Isolator Arrangement 261 8.1.1 Four Different Arrangements of Vibration Isolators 261 8.1.2 Modal Characteristics 262 8.1.3 Harmonic Response Characteristics 264 8.1.4 White Noise Response Characteristics 264 8.2 Decoupled Passive and Active Control 269 8.2.1 Decoupling Using Counter Coincidence of Mass and Stiffness 269 8.2.2 Natural Frequency Decoupling with Loaded Mass 270 8.2.3 Passive and Active Control Decoupled from Load 274 8.3 A Typical Engineering Example 276 8.3.1 Brief Introductions 276 8.3.2 Key Technologies Application 277 References 294 9 Low Frequency Passive and Active Control Using Quasi-zero Stiffness 295 9.1 Principle of Negative Stiffness 296 9.2 Quasi-zero Stiffness Approached by Parallel Positive and Negative Stiffnesses 298 9.3 Passive Control Based on Quasi-zero Stiffness 298 9.4 Active Control Based on Quasi-zero Stiffness 299 References 303 10 Dynamic Vibration Absorption and Performance Optimization for Equipment, Floor and High-rise Building Structure 304 10.1 Passive Dynamic Vibration Absorption 305 10.1.1 Main System Without Damping 305 10.1.2 Main System with Damping 307 10.2 Active Dynamic Vibration Absorption 309 10.3 Semi-active Dynamic Vibration Absorption 313 10.4 Dynamic Vibration Absorption for Floor Structure 316 10.5 Dynamic Vibration Absorption for High-rise Building Structure 320 10.5.1 Fluctuating Wind Speed Field Simulation Using the DIT-FFT-WAWS Method 320 10.5.2 TMD and ATMD Control for 76-story Benchmark Structure 322 References 333 11 Optimal Sensors Deployment 336 11.1 Probabilistic Sensing Model 336 11.2 Discrete Particle Swarm Optimization Algorithm for Planar Sensor Deployment 341 11.2.1 Algorithm Descriptions 341 11.2.2 Optimal Sensors Deployment on a Two-dimensional Planar Structure 346 11.3 Discrete Particle Swarm Optimization Algorithm for Spatial Sensor Deployment 349 11.3.1 Algorithm Descriptions 350 11.3.2 Optimal Sensors Deployment in Three-dimensional Spatial Structure 355 References 361