1st Edition
Digital Twin A Dynamic System and Computing Perspective
Chapter 1 Introduction and Background
1.1 Introduction
1.2 Modeling and Simulation
1.3 Sensors and Actuators
1.4 Signal Processing
1.5 Estimation Algorithms
1.6 Industry 4.0
1.7 Applications
Chapter 2 Computing and Digital Twin
2.1 Digital Twin Use cases and the Internet of things (IOT)
2.2 Edge Computing
2.3 Telecom and 5G
2.4 Cloud
2.5 Big Data
2.6 Google Tensorow
2.7 Blockchain and digital twin
Chapter 3 Dynamic Systems
3.1 Single-degree-of-freedom undamped systems
3.2 Single-degree-of-freedom viscously damped systems
3.3 Multiple-degree-of-freedom undamped systems
3.4 Proportionally damped systems
3.5 Non-proportionally damped systems
3.6 Summary
Chapter 4 Stochastic Analysis
4.1 Probability theory
4.2 Reliability
4.3 Simulation methods in UQ and reliability
4.4 Robustness
Chapter 5 Digital Twin of Dynamic Systems
5.1 Dynamic model of the digital twin
5.2 Digital twin via sti ness evolution
5.3 Digital twin via mass evolution
5.4 Digital twin via mass and sti ness evolution
5.5 Discussions
5.6 Summary
Chapter 6 Machine learning and Surrogate Models
6.1 Analysis of Variance Decomposition
6.2 Polynomial Chaos Expansion
6.3 Support Vector Machines
6.4 Neural Networks
6.5 Gaussian Process
6.6 Hybrid polynomial correlated function expansion
Chapter 7 Surrogate based digital twin of dynamic system
7.1 The dynamic model of the digital twin
7.2 Overview of Gaussian process emulators
7.3 Gaussian process based digital twin
7.4 Discussion
7.5 Summary
Chapter 8 Digital Twin at Multiple Time Scales
8.1 The problem statement
8.2 Digital twin for multi-timescale dynamical systems
8.3 Illustration of the proposed framework
8.4 Summary
Chapter 9 Digital twin of nonlinear MDOF systems
9.1 Physics based nominal model
9.2 Bayesian ltering algorithm
9.3 Supervised machine learning algorithm
9.4 High delity predictive model
9.5 Examples
Biography
Ranjan Ganguli, Mrittika Ganguli
