Mechatronic modeling and simulation using bond graphs:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Boca Raton, Fla. [u.a.]
CRC Press
2009
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Klappentext |
Beschreibung: | XIX, 483 S. Ill., graph. Darst. |
ISBN: | 9781420073140 |
Internformat
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264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 2009 | |
300 | |a XIX, 483 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
_version_ | 1804138678895771648 |
---|---|
adam_text | Contents
Preface
...................................................................................................xiii
Acknowledgments
...............................................................................xvii
Author
...................................................................................................xix
Chapter
1
Introduction to Mechatronics and
System Modeling
.....................................................................................1
1.1
What Is Mechatronics?
.............................................................................1
1.2
What Is a System and Why Model Systems?
........................................4
1.3
Mathematical Modeling Techniques Used in Practice
........................7
1.4
Software
...................................................................................................10
Problems
............................................................................................................11
Chapter
2
Bond Graphs: What Are They?
.................................................13
2.1
Engineering Systems
..............................................................................14
2.2
Ports
..........................................................................................................16
2.3
Generalized Variables
............................................................................20
2.3.1
Power Variables
...........................................................................20
2.3.2
Energy Variables
.........................................................................20
2.3.3
Tetrahedron of State
...................................................................21
2.4
Bond Graphs
............................................................................................23
2.4.1
Word Bond Graphs
.....................................................................23
2.5
Basic Components in Systems
..............................................................26
2.5.1
1-Port Components
....................................................................26
2.5.1.1
1-Port Resistor: Energy Dissipating Device
..............27
2.5.1.2
1-Port Capacitor: 1-Port Energy Storage Device
.......28
2.5.1.3
1-Port Inductor/Inertia: 1-Port Energy
Storage Device
..............................................................30
2.5.1.4
Other 1-Port Elements
..................................................33
2.5.2
2-Port Components
.....................................................................35
2.5.2.1
Transformer Element
...................................................35
2.5.2.2
Gyrator Element
...........................................................39
2.5.3
3-Port (or Higher-Port) Components
........................................41
2.5.3.1
Flow Junction, Parallel Junction,
0
Junction,
and Common Effort Junction
....................................42
2.5.3.2
Effort Junction, Series Junction,
1
Junction,
and Common Flow Junction
......................................43
2.5.4
Modulated Components: Transformers, Gyrators,
Resistances, and More
................................................................46
viii Contents
2.6
A Brief Note about Bond Graph Power Directions
............................46
2.7
Summary of Bond Direction Rules
.....................................................47
Problems
............................................................................................................48
Chapter
3
Drawing Bond Graphs for Simple Systems:
Electrical and Mechanical
......................................................................55
3.1
Simplification Rules for Junction Structure
........................................56
3.2
Drawing Bond Graphs for Electrical Systems
....................................62
3.2.1
Formal Method of Drawing Bond Graphs
for Electrical Systems
.................................................................65
3.3
Drawing Bond Graphs for Mechanical Systems
................................69
3.3.1
Formal Method of Drawing Bond Graphs for
Mechanical Systems in Translation and Rotation
..................72
3.3.2
A Note about Gravitational Forces on Objects
.......................73
3.3.3
Examples of Systems in Rotational Motion
.............................79
3.4
Causality
..................................................................................................83
3.4.1
Transformer
.................................................................................85
3.4.2
Gyrator
..........................................................................................86
3.4.3
Junctions
.......................................................................................86
3.4.4
Storage Elements:
I, C
.................................................................87
3.4.4.1
I, for Mass Elements or Inductances
..........................88
3.4.4.2
C, for
Capacitive
or Spring Elements
.........................89
3.4.5
R, for Resistive Elements
............................................................91
3.4.6
Algorithm for Assigning Causality
in a Bond Graph Model
..............................................................92
3.4.7
Integral Causality versus Differential Causality
for Storage Elements
.................................................................100
3.4.8
Final Discussion of Integral and Differential Causality
.....105
3.4.9
Causality Summary
..................................................................106
Problems
..........................................................................................................107
Chapter
4
Drawing Bond Graphs for Hydraulic and Electronic
Components and Systems
....................................................................113
4.1
Some Basic Properties and Concepts for Fluids
................................114
4.1.1
Mass Density
.............................................................................114
4.1.2
Force, Pressure, and Head
........................................................115
4.1.3
Bulk Modulus
.............................................................................115
4.1.4
Mass Conservation for Steady, Irrotational,
Nonviscous Flows
......................................................................115
4.1.5
Energy Conservation for Steady, Irrotational,
Nonviscous Flows
......................................................................116
4.2
Bond Graph Model of Hydraulic Systems
..........................................117
4.2.1
Fluid Compliance,
С
Element
...................................................117
4.2.2
Fluid Inertia, I Element
.............................................................118
4.2.3
Fluid Resistances,
R
Element
....................................................119
Contents ix
4.2.4
Sources (Effort
and Flow)
........................................................121
4.2.5
Transformer Elements
..............................................................121
4.2.6
Gyrator Elements
......................................................................122
4.2.7
Bond Graph Models of Hydraulic Systems
...........................122
4.3
Electronic Systems
................................................................................127
4.3.1
Operational Amplifiers
............................................................128
4.3.2
Diodes
.........................................................................................133
Problems
..........................................................................................................136
Chapter
5
Deriving System Equations from Bond Graphs
..................145
5.1
System Variables
...................................................................................145
5.2
Deriving System Equations
.................................................................146
5.2.1
Review
........................................................................................147
5.2.2
Junction Power Direction and Its Interpretation
..................147
5.3
Tackling Differential Causality
...........................................................159
5.4
Algebraic Loops
.....................................................................................162
Problems
..........................................................................................................166
Chapter
6
Solution of Model Equations and Their Interpretation
.....173
6.1
Zeroth Order Systems
...........................................................................174
6.2
First Order Systems
...............................................................................176
6.2.1
Solution of the First-Order Differential Equation
................178
6.3
Second Order System
...........................................................................180
6.3.1
System Response for Step Input
.............................................189
6.3.2
System Response to Sinusoidal Inputs
..................................191
6.3.3
System Response Study Using State-Space
Representation
...........................................................................194
6.4
Transfer Functions and Frequency Responses
.................................197
6.4.1
System Response in the Frequency Domain
........................199
6.5
Summary
................................................................................................206
Problems
..........................................................................................................206
Chapter
7
Numerical Solution Fundamentals
........................................211
7.1
Techniques for Solving Ordinary Differential Equations
...............211
7.2
Euler s Method
......................................................................................212
7.3
Implicit
Euler
and Trapezoidal Method
............................................215
7.4
Runge-Kutta Method
...........................................................................217
7.5
Adaptive Methods
................................................................................219
7.6
Summary
................................................................................................223
Problems
........
.................................................................................................224
Chapter
8
Transducers: Sensor Models
....................................................227
8.1
Resistive Sensors
...................................................................................228
8.2
Capacitive
Sensors
................................................................................233
8.2.1
Multiport Storage Fields:
С
-Field
............................................
235
Contents
8.3
Magnetic
Sensors..................................................................................242
8.3.1
Magnetic
Circuits
and Fields
..................................................242
8.3.1.1
Faraday s Law of Electromagnetic Induction
.........243
8.3.1.2
Ampere s Law
.............................................................243
8.3.1.3
Gauss s Law for Magnetism
.....................................243
8.3.2
Simple Magnetic Circuit
..........................................................245
8.3.2.1
Magnetic Circuit with Air Gap
................................247
8.3.2.2
Magnetic Bond Graph Elements
..............................249
8.3.2.3
Inside
С
-Field
..............................................................
257
8.4
Hall Effect Sensors
................................................................................266
8.5
Piezo-Electric Sensors
..........................................................................271
8.6
MEMS Devices
......................................................................................277
8.6.1
MEMS Examples
.......................................................................279
8.6.1.1
Microcantilever-Based
Capacitive
Sensors
............279
8.6.1.2
Comb Drives
...............................................................281
8.6.1.3
MEMS Gyroscopic Sensors
.......................................281
8.7
Sensor Design for Desired Performance
—
Mechanical
Transducers
............................................................................................287
8.8
Signal Conditioning
.............................................................................295
8.9
Summary
................................................................................................297
Problems
..........................................................................................................297
Chapter
9
Modeling Transducers: Actuators
..........................................303
9.1
Electromagnetic Actuators
..................................................................303
9.1.1
Linear
..........................................................................................303
9.1.2
Rotational Actuators: Motors
...................................................314
9.1.2.1
Permanent Magnet DC Motor
...................................316
9.1.2.2
Motor Load
..................................................................322
9.1.2.3
Parallel Wound Motor (Shunt)
.................................323
9.1.2.4
Series Wound Motor
..................................................327
9.1.2.5
Separately Excited DC Motors
.................................332
9.1.3
Example of a Motor That Is Driving a Load
.........................332
9.2
Hydraulic Actuators
.............................................................................336
9.2.1
Hydraulic Cylinders
.................................................................336
9.2.2
Pumps
.........................................................................................337
9.2.3
Hydraulic Valves
.......................................................................338
9.3
Summary
................................................................................................345
Problems
.........................................................................................;................345
Chapter
10
Modeling Vehicle Systems
.....................................................351
10.1
Vehicle Systems
.....................................................................................352
10.2
Vehicle Dynamics
.................................................................................358
10.2.1
Ride: Heave and Pitch Motion
................................................358
10.2.1.1
Transformer Parameter Calculation
.......................362
10.2.1.2
Active Dampers
.........................................................369
10.2.2
Handling: Bicycle Model
.........................................................371
Contents xi
10.3
Vehicle
Systems......................................................................................374
10.3.1 Electric
Braking
..........................................................................374
10.3.2 Power
Steering
Model..............................................................377
10.3.3 Steer-by-Wire System (SBW)....................................................380
10.4 Energy Regeneration in
Vehicles
........................................................386
10.4.1 First Square
Wave
Generator...................................................388
10.4.2
Second
Square
Wave
Generator..............................................390
10.5
Planar
Rigid
Body
Motion...................................................................390
10.6 Simple Engine Model:
A Different Approach
..................................399
10.7
Summary
................................................................................................402
Problems
..........................................................................................................403
Chapter
11
Control System Modeling
......................................................405
11.1 PID
Control
............................................................................................407
11.1.1
Proportional Control
................................................................407
11.1.2
Proportional Integral Control
..................................................411
11.1.3
Proportional Derivative Control
.............................................413
11.1.4
Proportional Integral Derivative Control
...............................416
11.1.5
Ziegler-Nichols Closed Loop Method
...................................422
11.2
Control Examples
..................................................................................422
11.3
Nonlinear Control Examples
..............................................................427
11.3.1
Inverted Pendulum
...................................................................428
11.3.2
Motor
..........................................................................................432
11.3.3
Controller
...................................................................................433
11.4
Summary
................................................................................................441
Problems
..........................................................................................................441
Chapter
12
Other Applications
..................................................................443
12.1
CaseStudy
1:
Modeling CNC Feed-Drive System
...........................444
12.1.1
Bond Graph Modeling of an Open
and Closed Loop System
.........................................................446
12.1.2
Backlash, Stick-Slip, and Cutting Force
.................................451
12.1.2.1
Backlash
.......................................................................451
12.1.2.2
Stick-Slip Friction
......................................................453
12.1.2.3
Cutting Force Model
..................................................454
12.2
Case Study
2:
Developing a System Model
for a MEMS Electrothermal Actuator
................................................458
12.2.1
FEA
Analysis
.............................................................................460
12.2.1.1
Steps Involved in the
FEA
Analysis
........................460
12.2.2
Simulation of ETM Actuator Using 20Sim
............................462
References
......................................................................................................469
Bibliography
...................................................................................................475
Index
................................................................................................................477
Mechatronic
Modeling
and Simulation Using
Bond Graphs
Shuvra Das
Bond graphs are especially well-suited for mechatronic systems, as engineering
system modeling is best handled using a multidisciplinary approach. Bond
graphing permits one to see the separate components of an engineering
system as a unified whole, and allows these components to be categorized
under a few generalized elements, even when they come from different
disciplines. In oddition to those advantages, the bond graph offers a visual
representation of a system from which derivation of the governing equations
is algorithmic This makes the design process accessible to beginning readers,
providing them with a practical understanding of mechatronic systems.
Mechatronic Modeling and Simulation Using Bond Graphs is written
for those who have some hands-on experience with mechatronic systems,
enough to appreciate the value of computer modeling and simulation.
Avoiding elaborate mathematical derivations and proofs, the book is written
for modelers seeking practical results in addition to theoretical confirmations.
Key concepts are revealed step-by-step, supported by the application of
rudimentary examples that allow readers to develop confidence in their
approach right from the start.
For those who take the effort to master its application, the use
of bond graph methodologies in system modeling can be very
satisfying in the way it unifies information garnered from different
disciplines
In the second half of the book, after readers have learned how to develop
bond graph models, the author provides simulation results for engineering
examples that encourage readers to model, simulate, and practice as they
progress through the chapters. Although the models can be simulated
using any number of software tools, the text employs 20Sim for all the
simulation work in this text. A free version of the software can be
downloaded from the 20Sim Web site.
|
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id | DE-604.BV035355916 |
illustrated | Illustrated |
indexdate | 2024-07-09T21:32:01Z |
institution | BVB |
isbn | 9781420073140 |
language | English |
lccn | 2008037629 |
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physical | XIX, 483 S. Ill., graph. Darst. |
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publisher | CRC Press |
record_format | marc |
spelling | Das, Shuvra Verfasser aut Mechatronic modeling and simulation using bond graphs Shuvra Das Boca Raton, Fla. [u.a.] CRC Press 2009 XIX, 483 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mechatronics Bond graphs Engineering models Bondgraph (DE-588)4238912-4 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Mechatronik (DE-588)4238812-0 gnd rswk-swf Mechatronik (DE-588)4238812-0 s Simulation (DE-588)4055072-2 s Modellierung (DE-588)4170297-9 s Bondgraph (DE-588)4238912-4 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017159983&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017159983&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
spellingShingle | Das, Shuvra Mechatronic modeling and simulation using bond graphs Mechatronics Bond graphs Engineering models Bondgraph (DE-588)4238912-4 gnd Modellierung (DE-588)4170297-9 gnd Simulation (DE-588)4055072-2 gnd Mechatronik (DE-588)4238812-0 gnd |
subject_GND | (DE-588)4238912-4 (DE-588)4170297-9 (DE-588)4055072-2 (DE-588)4238812-0 |
title | Mechatronic modeling and simulation using bond graphs |
title_auth | Mechatronic modeling and simulation using bond graphs |
title_exact_search | Mechatronic modeling and simulation using bond graphs |
title_full | Mechatronic modeling and simulation using bond graphs Shuvra Das |
title_fullStr | Mechatronic modeling and simulation using bond graphs Shuvra Das |
title_full_unstemmed | Mechatronic modeling and simulation using bond graphs Shuvra Das |
title_short | Mechatronic modeling and simulation using bond graphs |
title_sort | mechatronic modeling and simulation using bond graphs |
topic | Mechatronics Bond graphs Engineering models Bondgraph (DE-588)4238912-4 gnd Modellierung (DE-588)4170297-9 gnd Simulation (DE-588)4055072-2 gnd Mechatronik (DE-588)4238812-0 gnd |
topic_facet | Mechatronics Bond graphs Engineering models Bondgraph Modellierung Simulation Mechatronik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017159983&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017159983&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT dasshuvra mechatronicmodelingandsimulationusingbondgraphs |