Preface |
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xiii | |
Acknowledgments |
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xvii | |
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1 | (65) |
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2 | (3) |
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5 | (1) |
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1.3 A Brief History of the Finite Element Method and ANSYS |
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6 | (1) |
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1.4 Basic Steps in the Finite Element Method |
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6 | (2) |
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8 | (29) |
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1.6 Minimum Total Potential Energy Formulation |
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37 | (6) |
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1.7 Weighted Residual Formulations |
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43 | (5) |
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1.8 Verification of Results |
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48 | (1) |
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1.9 Understanding the Problem |
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49 | (17) |
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54 | (1) |
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54 | (1) |
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54 | (12) |
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66 | (63) |
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66 | (3) |
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2.2 Matrix Addition or Subtraction |
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69 | (1) |
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2.3 Matrix Multiplication |
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69 | (4) |
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2.4 Partitioning of a Matrix |
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73 | (4) |
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2.5 Transpose of a Matrix |
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77 | (4) |
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2.6 Determinant of a Matrix |
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81 | (5) |
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2.7 Solutions of Simultaneous Linear Equations |
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86 | (8) |
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94 | (4) |
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2.9 Eigenvalues and Eigenvectors |
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98 | (4) |
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2.10 Using MATLAB to Manipulate Matrices |
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102 | (4) |
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2.11 Using Excel to Manipulate Matrices |
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106 | (15) |
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2.12 Solutions of Simultaneous Nonlinear Equations |
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121 | (8) |
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123 | (1) |
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124 | (1) |
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124 | (5) |
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129 | (80) |
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3.1 Definition of a Truss |
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129 | (1) |
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3.2 Finite Element Formulation |
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130 | (25) |
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155 | (2) |
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3.4 Overview of the ANSYS Program |
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157 | (8) |
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3.5 ANSYS Workbench Environment |
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165 | (1) |
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165 | (32) |
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3.7 Verification of Results |
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197 | (12) |
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199 | (1) |
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199 | (1) |
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199 | (10) |
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4 Axial Members, Beams, and Frames |
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209 | (78) |
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4.1 Members Under Axial Loading |
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209 | (8) |
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217 | (5) |
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4.3 Finite Element Formulation of Beams |
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222 | (16) |
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4.4 Finite Element Formulation of Frames |
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238 | (6) |
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4.5 Three-Dimensional Beam Element |
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244 | (2) |
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4.6 An Example Using ANSYS |
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246 | (25) |
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4.7 Verification of Results |
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271 | (16) |
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273 | (1) |
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274 | (1) |
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275 | (12) |
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5 One-Dimensional Elements |
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287 | (25) |
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287 | (4) |
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291 | (2) |
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293 | (3) |
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5.4 Global, Local, and Natural Coordinates |
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296 | (2) |
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5.5 Isoparametric Elements |
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298 | (2) |
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5.6 Numerical Integration: Gauss-Legendre Quadrature |
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300 | (5) |
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5.7 Examples of One-Dimensional Elements in ANSYS |
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305 | (7) |
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305 | (1) |
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305 | (1) |
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305 | (7) |
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6 Analysis of One-Dimensional Problems |
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312 | (45) |
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6.1 Heat Transfer Problems |
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312 | (19) |
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6.2 A Fluid Mechanics Problem |
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331 | (4) |
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6.3 An Example Using ANSYS |
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335 | (15) |
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6.4 Verification of Results |
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350 | (1) |
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6.5 Members Under Axial Loading with Temperature Change |
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351 | (6) |
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353 | (1) |
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353 | (1) |
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353 | (4) |
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7 Two-Dimensional Elements |
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357 | (36) |
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357 | (4) |
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7.2 Quadratic Quadrilateral Elements |
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361 | (5) |
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7.3 Linear Triangular Elements |
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366 | (5) |
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7.4 Quadratic Triangular Elements |
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371 | (4) |
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7.5 Axisymmetric Elements |
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375 | (5) |
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7.6 Isoparametric Elements |
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380 | (3) |
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7.7 Two-Dimensional Integrals: Gauss-Legendre Quadrature |
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383 | (1) |
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7.8 Examples of Two-Dimensional Elements in ANSYS |
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384 | (9) |
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385 | (1) |
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385 | (1) |
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386 | (7) |
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393 | (50) |
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393 | (1) |
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8.2 ANSYS Database and Files |
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394 | (2) |
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8.3 Creating a Finite Element Model with ANSYS: Preprocessing |
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396 | (14) |
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8.4 h-Method Versus p-Method |
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410 | (1) |
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8.5 Applying Boundary Conditions, Loads, and the Solution |
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410 | (3) |
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8.6 Results of Your Finite Element Model: Postprocessing |
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413 | (5) |
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418 | (1) |
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8.8 Graphics Capabilities |
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419 | (2) |
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8.9 Error-Estimation Procedures |
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421 | (1) |
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8.10 More on ANSYS Workbench Environment |
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422 | (6) |
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428 | (15) |
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441 | (1) |
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442 | (1) |
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9 Analysis of Two-Dimensional Heat Transfer Problems |
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443 | (109) |
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9.1 General Conduction Problems |
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443 | (7) |
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9.2 Formulation with Rectangular Elements |
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450 | (11) |
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9.3 Formulation with Triangular Elements |
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461 | (19) |
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9.4 Axisymmetric Formulation of Three-Dimensional Problems |
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480 | (7) |
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9.5 Unsteady Heat Transfer |
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487 | (10) |
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9.6 Conduction Elements Used by ANSYS |
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497 | (1) |
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498 | (40) |
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9.8 Verification of Results |
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538 | (14) |
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538 | (2) |
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540 | (1) |
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540 | (12) |
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10 Analysis of Two-Dimensional Solid Mechanics Problems |
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552 | (67) |
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10.1 Torsion of Members with Arbitrary Cross-Section Shape |
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552 | (16) |
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10.2 Plane-Stress Formulation |
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568 | (8) |
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10.3 Isoparametric Formulation: Using a Quadrilateral Element |
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576 | (7) |
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10.4 Axisymmetric Formulation |
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583 | (2) |
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10.5 Basic Failure Theories |
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585 | (1) |
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10.6 Examples Using ANSYS |
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586 | (22) |
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10.7 Verification of Results |
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608 | (11) |
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608 | (2) |
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610 | (1) |
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610 | (9) |
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619 | (82) |
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619 | (14) |
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11.2 Review of Vibration of Mechanical and Structural Systems |
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633 | (17) |
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11.3 Lagrange's Equations |
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650 | (2) |
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11.4 Finite Element Formulation of Axial Members |
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652 | (9) |
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11.5 Finite Element Formulation of Beams and Frames |
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661 | (14) |
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11.6 Examples Using ANSYS |
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675 | (26) |
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694 | (1) |
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694 | (1) |
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694 | (7) |
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12 Analysis of Fluid Mechanics Problems |
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701 | (50) |
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12.1 Direct Formulation of Flow Through Pipes |
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701 | (12) |
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713 | (6) |
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719 | (3) |
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12.4 Examples Using ANSYS |
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722 | (21) |
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12.5 Verification of Results |
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743 | (8) |
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744 | (1) |
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745 | (1) |
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746 | (5) |
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13 Three-Dimensional Elements |
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751 | (67) |
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13.1 The Four-Node Tetrahedral Element |
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751 | (3) |
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13.2 Analysis of Three-Dimensional Solid Problems Using Four-Node Tetrahedral Elements |
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754 | (5) |
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13.3 The Eight-Node Brick Element |
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759 | (2) |
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13.4 The Ten-Node Tetrahedral Element |
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761 | (1) |
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13.5 The Twenty-Node Brick Element |
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762 | (2) |
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13.6 Examples of Three-Dimensional Elements in ANSYS |
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764 | (4) |
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13.7 Basic Solid-Modeling Ideas |
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768 | (11) |
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13.8 A Thermal Example Using ANSYS |
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779 | (17) |
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13.9 A Structural Example Using ANSYS |
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796 | (22) |
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809 | (1) |
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809 | (1) |
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809 | (9) |
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14 Design and Material Selection |
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818 | (18) |
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14.1 Engineering Design Process |
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819 | (3) |
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822 | (1) |
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14.3 Electrical, Mechanical, and Thermophysical Properties of Materials |
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823 | (2) |
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14.4 Common Solid Engineering Materials |
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825 | (7) |
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14.5 Some Common Fluid Materials |
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832 | (4) |
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834 | (1) |
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834 | (1) |
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834 | (2) |
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836 | (19) |
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15.1 Introduction to Design Optimization |
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836 | (4) |
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15.2 The Parametric Design Language of ANSYS |
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840 | (2) |
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15.3 Examples of Batch Files |
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842 | (13) |
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853 | (1) |
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854 | (1) |
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854 | (1) |
Appendix A Mechanical Properties of Some Materials |
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855 | (4) |
Appendix B Thermophysical Properties of Some Materials |
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859 | (2) |
Appendix C Properties of Common Line and Area Shapes |
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861 | (4) |
Appendix D Geometrical Properties of Structural Steel Shapes |
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865 | (4) |
Appendix E Conversion Factors |
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869 | (2) |
Appendix F An Introduction to MATLAB |
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871 | (34) |
Appendix G Workbench Examples |
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905 | (206) |
Index |
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1111 | |