Introduction to finite element analysis and design:
"Finite Element Method (FEM) is one of the numerical methods of solving differential equations that describe many engineering problems. This new book covers the basic theory of FEM and includes appendices on each of the main FEA programs as reference. It introduces the concepts so that engineer...
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Wiley
2009
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Zusammenfassung: | "Finite Element Method (FEM) is one of the numerical methods of solving differential equations that describe many engineering problems. This new book covers the basic theory of FEM and includes appendices on each of the main FEA programs as reference. It introduces the concepts so that engineers can use the method efficiently and interpret the results properly. They'll learn about one-dimensional finite elements, including truss and beam elements, as well as two and three dimensional finite elements. Numerous examples are also included using ANSYS, ABAQUS, NASTRAN, Pro/Engineer, and I-DEAS. This approach will help engineers develop a thorough understanding of the theory behind FEM as well as its application"--Publisher's description. |
Beschreibung: | XII, 419 S. Ill., graph. Darst Beil. (Website password) |
ISBN: | 9780470125397 047012539X |
Internformat
MARC
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100 | 1 | |a Kim, Nam H. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Introduction to finite element analysis and design |c Nam-Ho Kim and Bhavani Sankar |
264 | 1 | |a New York [u.a.] |b Wiley |c 2009 | |
300 | |a XII, 419 S. |b Ill., graph. Darst |e Beil. (Website password) | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
520 | 3 | |a "Finite Element Method (FEM) is one of the numerical methods of solving differential equations that describe many engineering problems. This new book covers the basic theory of FEM and includes appendices on each of the main FEA programs as reference. It introduces the concepts so that engineers can use the method efficiently and interpret the results properly. They'll learn about one-dimensional finite elements, including truss and beam elements, as well as two and three dimensional finite elements. Numerous examples are also included using ANSYS, ABAQUS, NASTRAN, Pro/Engineer, and I-DEAS. This approach will help engineers develop a thorough understanding of the theory behind FEM as well as its application"--Publisher's description. | |
630 | 0 | 4 | |a MATLAB |
630 | 0 | 4 | |a Pro/ENGINEER |
650 | 4 | |a Finite element method | |
650 | 4 | |a Engineering mathematics | |
650 | 4 | |a Finite element method | |
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700 | 1 | |a Sankar, Bhavani V. |e Sonstige |4 oth | |
856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-016761518 |
Datensatz im Suchindex
_version_ | 1804138051651239936 |
---|---|
adam_text | Contents
Preface
Chapter
0.
Mathematical Preliminaries
0.1.
Vectors and Matrices
1
0.2.
Vector-Matrix Calculus
3
0.3.
Matrix Equations
8
0.4. Eigen
Values and
Eigen
Vectors
8
0.5.
Quadratic Forms
12
0.6.
Maxima and Minima of Functions
13
0.7.
Exercise
14
Chapter
1.
Stress-Strain Analysis
17
1.1.
Stress
17
1.2.
Strain
30
1.3.
Stress-Strain Relations
35
1.4.
Boundary Value Problems
39
1.5.
Failure Theories
43
1.6.
Safety Factor
49
1.7.
Exercise
52
Chapter
2.
Uniaxial
Bar and Truss
Elements-Direct Method
60
2.1.
Illustration of the Direct Method
61
2.2.
Uniaxial
Bar Element
66
2.3.
Plane Truss Elements
73
2.4.
Three-Dimensional Truss Elements
(Space Truss)
83
2.5.
Thermal Stresses
87
2.6.
Projects
94
2.7.
Exercise
98
Chapter
3.
Weighted Residual and Energy
Methods for One-Dimensional
Problems
108
3.1.
Exact vs. Approximate Solution
108
3.2.
Galerkin Method
109
3.3.
Higher-Order Differential
Equations
114
3.4.
Finite Element Approximation
117
3.5.
Formal Procedure
124
3.6.
Energy Methods
129
3.7.
Exercise
138
Chapter
4.
Finite Element Analysis of Beams
and Frames
143
4.1.
Review of Elementary Beam Theory
143
4.2.
Rayleigh-Ritz Method
148
4.3.
Finite Element Interpolation
153
4.4.
Finite Element Equation for the Beam
Element
158
4.5.
Bending Moment and Shear Force
Distribution
166
4.6.
Plane Frame
171
4.7.
Project
175
4.8.
Exercise
176
Chapter
5.
Finite Elements for Heat Transfer
Problems
185
5.1.
Introduction
185
5.2.
Fourier Heat Conduction Equation
186
5.3.
Finite Element Anlaysis
-
Direct
Method
188
5.4.
Galerkin Method for Heat Conduction
Problems
194
5.5.
Convection Boundary Conditions
200
5.6.
Exercise
207
Chapter
6.
Finite Elements for Plane
Solids
211
6.1.
Introduction
211
6.2.
Types of Two-Dimensional
Problems
211
6.3.
Principle of Minimum Potential
Energy
214
6.4.
Constant Strain Triangular (CST)
Element
216
6.5.
Four-Node Rectangular Element
229
6.6.
Four-Node Iso-Parametric Quadrilateral
Element
237
6.7.
Numerical Integration
248
6.8.
Project
253
6.9.
Exercise
254
Chapter
7.
Finite Element Procedures and
Modeling
261
7.1.
Finite Element Analysis Procedures
261
7.2.
Finite Element Modeling Techniques
281
XI
xii Contents
7.3.
Project
291
7.4.
Exercise
292
Chapter
8.
Structural Design
Using Finite
Elements
297
8.1.
Introduction
297
8.2.
Safety Margin in Design
298
8.3.
Intuitive Design: Fully-Stressed
Design
301
8.4.
Design Parameterization
304
8.5.
Parameter Study
-
Sensitivity
Analysis
307
8.6.
Structural Optimization
313
8.7.
Project: Design Optimization of a
Bracket
325
8.8.
Exercise
327
Appendix A. Finite Element Analysis Using
Pro/Engineer
333
A.I. Introduction
333
A.2. Getting Start
333
A3.
Plate with a Hole Analysis
334
A.4. Design Sensitivity Analysis/Parameter
Study
339
A.5. Design Optimization
341
Appendix B. Finite Element Analysis Using
NEi
Nastran
343
B.I. Introduction
343
B.2. Getting Start
343
B.3. Plate with a Hole Analysis
343
B.4. Static Analysis of Beams
350
B.5. Examples in the text
356
Appendix
С
Finite Element Analysis Using
___________
ANSYS
363______________
C.I. Introduction
363
C.2. Getting Start
364
C.3. Static Analysis of a Corner
Bracket
365
C.4. Examples in the Text
381
Appendix D. Finite Element Analysis Using
___________
MATLAB
Toolbox
391
D.I.
Finite Element Analysis of Bar and
Truss
391
D.2. Finite Element Analysis Using Frame
Elements
403
D.3. Finite Element Analysis Using Plane
Solid Elements
408
Index
417
|
adam_txt |
Contents
Preface
Chapter
0.
Mathematical Preliminaries
0.1.
Vectors and Matrices
1
0.2.
Vector-Matrix Calculus
3
0.3.
Matrix Equations
8
0.4. Eigen
Values and
Eigen
Vectors
8
0.5.
Quadratic Forms
12
0.6.
Maxima and Minima of Functions
13
0.7.
Exercise
14
Chapter
1.
Stress-Strain Analysis
17
1.1.
Stress
17
1.2.
Strain
30
1.3.
Stress-Strain Relations
35
1.4.
Boundary Value Problems
39
1.5.
Failure Theories
43
1.6.
Safety Factor
49
1.7.
Exercise
52
Chapter
2.
Uniaxial
Bar and Truss
Elements-Direct Method
60
2.1.
Illustration of the Direct Method
61
2.2.
Uniaxial
Bar Element
66
2.3.
Plane Truss Elements
73
2.4.
Three-Dimensional Truss Elements
(Space Truss)
83
2.5.
Thermal Stresses
87
2.6.
Projects
94
2.7.
Exercise
98
Chapter
3.
Weighted Residual and Energy
Methods for One-Dimensional
Problems
108
3.1.
Exact vs. Approximate Solution
108
3.2.
Galerkin Method
109
3.3.
Higher-Order Differential
Equations
114
3.4.
Finite Element Approximation
117
3.5.
Formal Procedure
124
3.6.
Energy Methods
129
3.7.
Exercise
138
Chapter
4.
Finite Element Analysis of Beams
and Frames
143
4.1.
Review of Elementary Beam Theory
143
4.2.
Rayleigh-Ritz Method
148
4.3.
Finite Element Interpolation
153
4.4.
Finite Element Equation for the Beam
Element
158
4.5.
Bending Moment and Shear Force
Distribution
166
4.6.
Plane Frame
171
4.7.
Project
175
4.8.
Exercise
176
Chapter
5.
Finite Elements for Heat Transfer
Problems
185
5.1.
Introduction
185
5.2.
Fourier Heat Conduction Equation
186
5.3.
Finite Element Anlaysis
-
Direct
Method
188
5.4.
Galerkin Method for Heat Conduction
Problems
194
5.5.
Convection Boundary Conditions
200
5.6.
Exercise
207
Chapter
6.
Finite Elements for Plane
Solids
211
6.1.
Introduction
211
6.2.
Types of Two-Dimensional
Problems
211
6.3.
Principle of Minimum Potential
Energy
214
6.4.
Constant Strain Triangular (CST)
Element
216
6.5.
Four-Node Rectangular Element
229
6.6.
Four-Node Iso-Parametric Quadrilateral
Element
237
6.7.
Numerical Integration
248
6.8.
Project
253
6.9.
Exercise
254
Chapter
7.
Finite Element Procedures and
Modeling
261
7.1.
Finite Element Analysis Procedures
261
7.2.
Finite Element Modeling Techniques
281
XI
xii Contents
7.3.
Project
291
7.4.
Exercise
292
Chapter
8.
Structural Design
Using Finite
Elements
297
8.1.
Introduction
297
8.2.
Safety Margin in Design
298
8.3.
Intuitive Design: Fully-Stressed
Design
301
8.4.
Design Parameterization
304
8.5.
Parameter Study
-
Sensitivity
Analysis
307
8.6.
Structural Optimization
313
8.7.
Project: Design Optimization of a
Bracket
325
8.8.
Exercise
327
Appendix A. Finite Element Analysis Using
Pro/Engineer
333
A.I. Introduction
333
A.2. Getting Start
333
A3.
Plate with a Hole Analysis
334
A.4. Design Sensitivity Analysis/Parameter
Study
339
A.5. Design Optimization
341
Appendix B. Finite Element Analysis Using
NEi
Nastran
343
B.I. Introduction
343
B.2. Getting Start
343
B.3. Plate with a Hole Analysis
343
B.4. Static Analysis of Beams
350
B.5. Examples in the text
356
Appendix
С
Finite Element Analysis Using
_
ANSYS
363_
C.I. Introduction
363
C.2. Getting Start
364
C.3. Static Analysis of a Corner
Bracket
365
C.4. Examples in the Text
381
Appendix D. Finite Element Analysis Using
_
MATLAB
Toolbox
391
D.I.
Finite Element Analysis of Bar and
Truss
391
D.2. Finite Element Analysis Using Frame
Elements
403
D.3. Finite Element Analysis Using Plane
Solid Elements
408
Index
417 |
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ctrlnum | (OCoLC)290468529 (DE-599)BVBBV035093437 |
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dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 620 - Engineering and allied operations |
dewey-raw | 620.00151825 |
dewey-search | 620.00151825 |
dewey-sort | 3620.00151825 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Mathematik |
discipline_str_mv | Mathematik |
format | Book |
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genre | (DE-588)4151278-9 Einführung gnd-content |
genre_facet | Einführung |
id | DE-604.BV035093437 |
illustrated | Illustrated |
index_date | 2024-07-02T22:11:26Z |
indexdate | 2024-07-09T21:22:03Z |
institution | BVB |
isbn | 9780470125397 047012539X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016761518 |
oclc_num | 290468529 |
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owner | DE-703 DE-29T DE-573 DE-824 |
owner_facet | DE-703 DE-29T DE-573 DE-824 |
physical | XII, 419 S. Ill., graph. Darst Beil. (Website password) |
publishDate | 2009 |
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publishDateSort | 2009 |
publisher | Wiley |
record_format | marc |
spelling | Kim, Nam H. Verfasser aut Introduction to finite element analysis and design Nam-Ho Kim and Bhavani Sankar New York [u.a.] Wiley 2009 XII, 419 S. Ill., graph. Darst Beil. (Website password) txt rdacontent n rdamedia nc rdacarrier "Finite Element Method (FEM) is one of the numerical methods of solving differential equations that describe many engineering problems. This new book covers the basic theory of FEM and includes appendices on each of the main FEA programs as reference. It introduces the concepts so that engineers can use the method efficiently and interpret the results properly. They'll learn about one-dimensional finite elements, including truss and beam elements, as well as two and three dimensional finite elements. Numerous examples are also included using ANSYS, ABAQUS, NASTRAN, Pro/Engineer, and I-DEAS. This approach will help engineers develop a thorough understanding of the theory behind FEM as well as its application"--Publisher's description. MATLAB Pro/ENGINEER Finite element method Engineering mathematics Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Sankar, Bhavani V. Sonstige oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kim, Nam H. Introduction to finite element analysis and design MATLAB Pro/ENGINEER Finite element method Engineering mathematics Finite-Elemente-Methode (DE-588)4017233-8 gnd |
subject_GND | (DE-588)4017233-8 (DE-588)4151278-9 |
title | Introduction to finite element analysis and design |
title_auth | Introduction to finite element analysis and design |
title_exact_search | Introduction to finite element analysis and design |
title_exact_search_txtP | Introduction to finite element analysis and design |
title_full | Introduction to finite element analysis and design Nam-Ho Kim and Bhavani Sankar |
title_fullStr | Introduction to finite element analysis and design Nam-Ho Kim and Bhavani Sankar |
title_full_unstemmed | Introduction to finite element analysis and design Nam-Ho Kim and Bhavani Sankar |
title_short | Introduction to finite element analysis and design |
title_sort | introduction to finite element analysis and design |
topic | MATLAB Pro/ENGINEER Finite element method Engineering mathematics Finite-Elemente-Methode (DE-588)4017233-8 gnd |
topic_facet | MATLAB Pro/ENGINEER Finite element method Engineering mathematics Finite-Elemente-Methode Einführung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT kimnamh introductiontofiniteelementanalysisanddesign AT sankarbhavaniv introductiontofiniteelementanalysisanddesign |