Description |
1 online resource (252 p.) |
Contents |
Cover -- Half Title -- Title Page -- Copyright Page -- Contents -- Preface -- Authors' Biographies -- 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 -- 1.7.1. Maintenance -- 1.7.2. Manufacturing -- 1.7.3. Smart Cities -- 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 -- 2.4.1. Microsoft Azure |
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2.4.2. Amazon AWS -- 2.5. Big Data -- 2.5.1. Analytics with Big Data -- 2.6. Google Tensorflow -- 2.7. Blockchain and Digital Twin -- Chapter 3: Dynamic Systems -- 3.1. Single-Degree-of-Freedom Undamped Systems -- 3.1.1. Natural Frequency -- 3.1.2. Dynamic Response -- 3.1.2.1. Impulse Response Function -- 3.2. Single-Degree-of-Freedom Viscously Damped Systems -- 3.2.1. Natural Frequency -- 3.2.2. Dynamic Response -- 3.2.2.1. Impulse Response and Frequency Response Function -- 3.3. Multiple-Degree-of-Freedom Undamped Systems -- 3.3.1. Modal Analysis -- 3.3.2. Dynamic Response |
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3.3.2.1. Frequency-Domain Analysis -- 3.3.2.2. Time-Domain Analysis -- 3.4. Proportionally Damped Systems -- 3.4.1. Condition for Proportional Damping -- 3.4.2. Generalized Proportional Damping -- 3.4.3. Dynamic Response -- 3.4.3.1. Frequency-Domain Analysis -- 3.4.3.2. Time-Domain Analysis -- 3.5. Nonproportionally Damped Systems -- 3.5.1. Free Vibration and Complex Modes -- 3.5.1.1. The State-Space Method -- 3.5.1.2. Approximate Methods in the Configuration Space -- 3.5.2. Dynamic Response -- 3.5.2.1. Frequency-Domain Analysis -- 3.5.2.2. Time-Domain Analysis -- 3.6. Summary |
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Chapter 4: Stochastic Analysis -- 4.1. Probability Theory -- 4.1.1. Probability Space -- 4.1.2. Random Variable -- 4.1.3. Hilbert Space -- 4.2. Reliability -- 4.2.1. Sources of Uncertainties -- 4.2.2. Random Variables and Limit State Function -- 4.2.3. Earlier Methods -- 4.3. Simulation Methods in UQ and Reliability -- 4.3.1. Direct Monte Carlo Simulation -- 4.3.2. Importance Sampling -- 4.3.3. Stratified Sampling -- 4.3.4. Directional Sampling -- 4.3.5. Subset Simulation -- 4.4. Robustness -- Chapter 5: Digital Twin of Dynamic Systems -- 5.1. Dynamic Model of the Digital Twin |
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5.1.1. Single-Degree-of-Freedom System: The Nominal Model -- 5.1.2. The Digital Twin Model -- 5.2. Digital Twin via Stiffness Evolution -- 5.2.1. Exact Natural Frequency Data Is Available -- 5.2.2. Natural Frequency Data Is Available with Errors -- 5.2.3. Natural Frequency Data Is Available with Error Estimates -- 5.2.4. Numerical Illustrations -- 5.3. Digital Twin via Mass Evolution -- 5.3.1. Exact Natural Frequency Data Is Available -- 5.3.2. Natural Frequency Data Is Available with Errors -- 5.3.3. Natural Frequency Data Is Available with Error Estimates -- 5.3.4. Numerical Illustrations |
Summary |
This book introduces the computing, mathematical and engineering background to understand and develop the concept of the digital twin. It provides background in modeling/simulation, computing technology, sensor/actuators, and so forth, needed to develop the next generation of digital twins |
Notes |
Description based upon print version of record |
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5.4. Digital Twin via Mass and Stiffness Evolution |
Subject |
Digital twins (Computer simulation)
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Digital twins (Computer simulation)
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Form |
Electronic book
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Author |
Adhikari, Sondipon
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Chakraborty, Souvik
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Ganguli, Mrittika
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ISBN |
9781000829372 |
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1000829375 |
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