Finite Element Analysis : Theory and Application with ANSYS

by Moaveni, Saeed

• ISBN13: 9780137850983
• ISBN10: 0137850980
• Edition: 1st
• Format: Hardcover
• Copyright: 1999-04-01
• Publisher: Prentice Hall

Summary

For courses in Finite Element Analysis. Unique in approach and content, this text presents the theory of finite element analysis, explores its application as a design/modeling tool, and explains in detail how to use ANSYS intelligently and effectively.

Table of Contents

Preface	xi
1 Introduction	1	(53)
1.1 Engineering Problems	2	(1)
1.2 Numerical Methods	2	(3)
1.3 A Brief History of the Finite Element Method and ANSYS	5	(1)
1.4 Basic Steps in the Finite Element Method	6	(1)
1.5 Direct Formulation	6	(27)
1.6 Minimum Total Potential Energy Formulation	33	(5)
1.7 Weighted Residual Formulations	38	(5)
1.8 Verification of Results	43	(1)
1.9 Understanding the Problem	44	(1)
Summary	44	(1)
References	45	(1)
Problems	45	(9)
2 Trusses	54	(67)
2.1 Definition of a Truss	54	(1)
2.2 Finite Element Formulation	55	(16)
2.3 Space Trusses	71	(2)
2.4 Overview of the ANSYS Program	73	(6)
2.5 Examples Using ANSYS	79	(31)
2.6 Verification of Results	110	(2)
Summary	112	(1)
References	112	(1)
Problems	112	(9)
3 One-Dimensional Elements	121	(24)
3.1 Linear Elements	121	(6)
3.2 Quadratic Elements	127	(1)
3.3 Cubic Elements	128	(3)
3.4 Global, Local, and Natural Coordinates	131	(5)
3.5 Numerical Integration: Gauss-Legendre Quadrature	136	(3)
3.6 Examples of One-Dimensional Elements in ANSYS	139	(1)
Summary	139	(1)
References	140	(1)
Problems	140	(5)
4 Analysis of One-Dimensional Problems	145	(44)
4.1 Heat Transfer Problems	145	(17)
4.2 Solid Mechanics Problems	162	(4)
4.3 An Example Using ANSYS	166	(14)
4.4 Verification of Results	180	(2)
Summary	182	(1)
References	182	(1)
Problems	183	(6)
5 Two-Dimensional Elements	189	(27)
5.1 Rectangular Elements	189	(4)
5.2 Quadratic Quadrilateral Elements	193	(5)
5.3 Linear Triangular Elements	198	(4)
5.4 Quadratic Triangular Elements	202	(4)
5.5 Isoparametric Elements	206	(1)
5.6 Two-Dimensional Integrals: Gauss-Legendre Quadrature	207	(2)
5.7 Examples of Two-Dimensional Elements in ANSYS	209	(1)
Summary	210	(1)
References	210	(1)
Problems	210	(6)
6 More ANSYS	216	(46)
6.1 ANSYS Program	216	(1)
6.2 ANSYS Database and Files	217	(1)
6.3 Creating a Finite Element Model With ANSYS: Preprocessing	218	(13)
6.4 Applying Boundary Conditions, Loads, and the Solution	231	(3)
6.5 Results of Your Finite Element Model: Postprocessing	234	(3)
6.6 Selection Options	237	(1)
6.7 Graphics Capabilities	238	(3)
6.8 An Example Problem	241	(13)
Summary	254	(1)
References	255	(7)
7 Analysis of Two-Dimensional Heat Transfer Problems	262	(53)
7.1 General Conduction Problems	262	(6)
7.2 Formulation With Rectangular Elements	268	(7)
7.3 Formulation With Triangular Elements	275	(11)
7.4 Conduction Elements Used by ANSYS	286	(1)
7.5 An Example Using ANSYS	287	(17)
7.6 Verification of Results	304	(1)
Summary	304	(2)
References	306	(1)
Problems	306	(9)
8 Analysis of Two-Dimensional Solid Mechanics Problems	315	(80)
8.1 Torsion of Members With Arbitrary Cross-Section Shape	315	(5)
8.2 Beams and Frames	320	(18)
8.3 Plane Stress Formulation	338	(14)
8.4 Basic Failure Theory	352	(1)
8.5 Examples Using ANSYS	353	(25)
8.6 Verification of Results	378	(2)
Summary	380	(2)
References	382	(1)
Problems	383	(12)
9 Analysis of Fluid Mechanics Problems	395	(42)
9.1 Direct Formulation of Flow Through Pipes	395	(6)
9.2 Ideal Fluid Flow	401	(4)
9.3 Groundwater Flow	405	(3)
9.4 Examples Using ANSYS	408	(21)
9.5 Verification of Results	429	(1)
Summary	430	(1)
References	431	(1)
Problems	431	(6)
10 Three-Dimensional Elements	437	(69)
10.1 The Four-Node Tetrahedral Element	437	(3)
10.2 Analysis of Three-Dimensional Solid Problems Using Four-Node Tetrahedral Elements	440	(5)
10.3 The Eight-Node Brick Element	445	(2)
10.4 The Ten-Node Tetrahedral Element	447	(1)
10.5 The Twenty-Node Brick Element	447	(2)
10.6 Examples of Three-Dimensional Elements in ANSYS	449	(3)
10.7 Basic Solid Modeling Ideas	452	(12)
10.8 A Thermal Example Using ANSYS	464	(17)
10.9 A Structural Example Using ANSYS	481	(14)
10.10 Verification of Results: Error-Estimation Procedures	495	(2)
Summary	497	(1)
References	497	(1)
Problems	497	(9)
11 Design Optimization	506	(14)
11.1 Introduction to Design Optimization	506	(4)
11.2 The Parametric Design Language of ANSYS	510	(2)
11.3 An Example Using ANSYS	512	(7)
Summary	519	(1)
References	519	(1)
Appendix A: Mechanical Properties of Some Materials	520	(1)
Appendix B: Thermophysical Properties of Some Materials	521	(1)
Appendix C: Conversion Factors	522	(2)
Index	524