Preface |
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xiii | |
The Aims and Scope of the Book |
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xv | |
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Basics of Finite-Element Method |
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1 | (36) |
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Method of Weighted Residuals |
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2 | (3) |
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Sub-domain method (Finite volume method) |
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2 | (2) |
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4 | (1) |
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5 | (2) |
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7 | (7) |
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10 | (1) |
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11 | (3) |
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FEM in Two-Dimensional Elastostatic Problems |
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14 | (23) |
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Elements of finite-element procedures in the analysis of plane elastostatic problems |
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15 | (1) |
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Fundamental formulae in plane elastostatic problems |
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16 | (1) |
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16 | (1) |
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Strain--displacement relations |
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16 | (1) |
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Stress--strain relations (constitutive equations) |
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17 | (2) |
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19 | (2) |
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Variational formulae in elastostatic problems: the principle of virtual work |
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21 | (1) |
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Formulation of the fundamental finite-element equations in plane elastostatic problems |
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21 | (1) |
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Strain--displacement matrix or [ B] matrix |
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21 | (4) |
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Stress--strain matrix or [ D] matrix |
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25 | (1) |
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Element stiffness equations |
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25 | (2) |
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Global stiffness equations |
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27 | (3) |
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Example: Finite-element calculations for a square plate subjected to uniaxial uniform tension |
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30 | (4) |
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34 | (3) |
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Overview of Ansys Structure and Visual Capabilities |
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37 | (14) |
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37 | (1) |
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38 | (5) |
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38 | (2) |
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Saving and restoring jobs |
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40 | (1) |
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41 | (1) |
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42 | (1) |
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43 | (1) |
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43 | (6) |
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43 | (1) |
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Defining element types and real constants |
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44 | (2) |
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Defining material properties |
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46 | (1) |
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Construction of the model |
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47 | (1) |
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Creating the model geometry |
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47 | (1) |
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48 | (1) |
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49 | (1) |
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50 | (1) |
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Application of Ansys to Stress Analysis |
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51 | (92) |
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51 | (33) |
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Example problem: A cantilever beam |
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52 | (1) |
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53 | (1) |
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Review of the solutions obtained by the elementary beam theory |
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53 | (1) |
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53 | (1) |
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Creation of an analytical model |
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53 | (3) |
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Input of the elastic properties of the beam material |
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56 | (1) |
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Finite-element discretization of the beam area |
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57 | (5) |
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Input of boundary conditions |
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62 | (9) |
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71 | (2) |
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Graphical representation of the results |
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73 | (3) |
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Comparison of FEM results with experimental ones |
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76 | (1) |
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76 | (4) |
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Appendix: Procedures for Creating Stepped Beams |
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80 | (1) |
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Creation of a stepped beam |
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80 | (1) |
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How to cancel the selection of areas |
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81 | (1) |
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Creation of a stepped beam with a rounded fillet |
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81 | (3) |
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How to display area numbers |
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84 | (1) |
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The Principle of St. Venant |
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84 | (9) |
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Example problem: An elastic strip subjected to distributed uniaxial tensile stress or negative pressure at one end and clamped at the other end |
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84 | (1) |
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85 | (1) |
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85 | (1) |
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Creation of an analytical model |
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85 | (1) |
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Input of the elastic properties of the strip material |
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86 | (1) |
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Finite-element discretization of the strip area |
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86 | (2) |
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Input of boundary conditions |
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88 | (1) |
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89 | (3) |
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92 | (1) |
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92 | (1) |
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Stress Concentration Due to Elliptic Holes |
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93 | (13) |
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Example problem: An elastic plate with an elliptic hole in its center subjected to uniform longitudinal tensile stress σo at one end and damped at the other end |
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93 | (1) |
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94 | (1) |
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94 | (1) |
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Creation of an analytical model |
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94 | (3) |
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Input of the elastic properties of the plate material |
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97 | (1) |
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Finite-element discretization of the quarter plate area |
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98 | (1) |
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Input of boundary conditions |
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99 | (1) |
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100 | (1) |
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101 | (1) |
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Observation of the variation of the longitudinal stress distribution in the ligament region |
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101 | (1) |
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102 | (3) |
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105 | (1) |
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Stress Singularity Problem |
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106 | (14) |
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Example problem: An elastic plate with a crack of length 2a in its center subjected to uniform longitudinal tensile stress σo at one end and clamped at the other end |
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106 | (1) |
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106 | (1) |
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107 | (1) |
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Creation of an analytical model |
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107 | (3) |
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Input of the elastic properties of the plate material |
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110 | (1) |
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Finite-element discretization of the center-cracked tension plate area |
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110 | (3) |
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Input of boundary conditions |
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113 | (1) |
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114 | (1) |
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115 | (1) |
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116 | (2) |
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118 | (2) |
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Two-Dimensional Contact Stress |
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120 | (23) |
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Example problem: An elastic cylinder with a radius of length (a) pressed against a flat surface of a linearly elastic medium by a force' |
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120 | (1) |
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120 | (1) |
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121 | (1) |
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Creation of an analytical model |
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121 | (2) |
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Input of the elastic properties of the material for the cylinder and the flat plate |
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123 | (1) |
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Finite-element discretization of the cylinder and the flat plate areas |
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123 | (10) |
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Input of boundary conditions |
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133 | (2) |
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135 | (1) |
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135 | (1) |
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136 | (2) |
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138 | (3) |
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141 | (2) |
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143 | (72) |
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143 | (1) |
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Mode Analysis of a Straight Bar |
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144 | (19) |
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144 | (1) |
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144 | (1) |
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Model for finite-element analysis |
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145 | (1) |
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145 | (2) |
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Real constants for beam element |
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147 | (1) |
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147 | (2) |
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149 | (2) |
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Create a line for beam element |
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151 | (1) |
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152 | (2) |
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154 | (3) |
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Execution of the analysis |
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157 | (1) |
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Definition of the type of analysis |
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157 | (2) |
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159 | (2) |
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161 | (1) |
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Read the calculated results of the first mode of vibration |
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161 | (1) |
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Plot the calculated results |
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161 | (1) |
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Read the calculated results of the second and third modes of vibration |
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161 | (2) |
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Mode Analysis of a Suspension for Hard-Disc Drive |
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163 | (25) |
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163 | (1) |
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Create a model for analysis |
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163 | (1) |
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163 | (2) |
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Real constants for beam element |
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165 | (3) |
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168 | (1) |
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168 | (3) |
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Create areas for suspension |
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171 | (4) |
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175 | (2) |
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177 | (2) |
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179 | (3) |
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182 | (1) |
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Define the type of analysis |
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182 | (1) |
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182 | (1) |
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183 | (1) |
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Read the calculated results of the first mode of vibration |
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183 | (1) |
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Plot the calculated results |
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183 | (1) |
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Read the calculated results of higher modes of vibration |
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184 | (4) |
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Mode Analysis of a One-Axis Precision Moving Table Using Elastic Hinges |
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188 | (27) |
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188 | (1) |
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Create a model for analysis |
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189 | (1) |
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189 | (1) |
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189 | (3) |
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192 | (1) |
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Create areas for the table |
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193 | (4) |
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197 | (4) |
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201 | (4) |
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205 | (1) |
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Define the type of analysis |
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205 | (3) |
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208 | (1) |
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209 | (1) |
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Read the calculated results of the first mode of vibration |
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209 | (1) |
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Plot the calculated results |
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209 | (1) |
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Read the calculated results of the second and third modes of vibration |
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210 | (1) |
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Animate the vibration mode shape |
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211 | (4) |
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Analysis for Fluid Dynamics |
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215 | (48) |
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215 | (1) |
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Analysis of Flow Structure in a Diffuser |
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216 | (26) |
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216 | (1) |
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Create a model for analysis |
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216 | (1) |
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216 | (1) |
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217 | (2) |
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219 | (2) |
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Create areas for diffuser |
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221 | (1) |
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Create mesh in lines and areas |
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222 | (4) |
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226 | (5) |
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Execution of the analysis |
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231 | (1) |
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231 | (2) |
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233 | (1) |
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234 | (1) |
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Read the calculated results of the first mode of vibration |
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234 | (1) |
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Plot the calculated results |
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234 | (3) |
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Plot the calculated results by path operation |
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237 | (5) |
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Analysis of Flow Structure in a Channel with a Butterfly Valve |
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242 | (21) |
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242 | (1) |
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Create a model for analysis |
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242 | (1) |
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242 | (1) |
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243 | (1) |
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243 | (2) |
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Create areas for flow channel |
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245 | (1) |
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Subtract the valve area from the channel area |
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245 | (1) |
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Create mesh in lines and areas |
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246 | (2) |
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248 | (3) |
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Execution of the analysis |
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251 | (1) |
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251 | (2) |
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253 | (1) |
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254 | (1) |
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Read the calculated results |
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254 | (1) |
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Plot the calculated results |
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255 | (1) |
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Detailed view of the calculated flow velocity |
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256 | (3) |
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Plot the calculated results by path operation |
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259 | (4) |
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Application of ANSYS to Thermo Mechanics |
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263 | (68) |
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General Characteristic of Heat Transfer Problems |
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263 | (2) |
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Heat Transfer Through Two Walls |
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265 | (20) |
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265 | (1) |
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Construction of the model |
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265 | (11) |
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276 | (4) |
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280 | (5) |
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Steady-State Thermal Analysis of a Pipe Intersection |
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285 | (27) |
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Description of the problem |
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285 | (3) |
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Preparation for model building |
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288 | (3) |
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Construction of the model |
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291 | (7) |
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298 | (8) |
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306 | (6) |
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Heat Dissipation Through Ribbed Surface |
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312 | (19) |
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312 | (1) |
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Construction of the model |
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313 | (8) |
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321 | (4) |
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325 | (6) |
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Application of ANSYS to Contact Between Machine Elements |
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331 | (122) |
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General Characteristics of Contact Problems |
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331 | (1) |
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332 | (121) |
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Pin-in-hole interference fit |
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332 | (1) |
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332 | (1) |
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Construction of the model |
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333 | (5) |
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Material properties and element type |
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338 | (1) |
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339 | (3) |
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342 | (5) |
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347 | (5) |
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352 | (7) |
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Concave contact between cylinder and two blocks |
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359 | (1) |
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359 | (1) |
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360 | (5) |
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365 | (3) |
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368 | (4) |
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372 | (2) |
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374 | (5) |
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379 | (3) |
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Wheel-on-rail line contact |
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382 | (1) |
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382 | (3) |
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385 | (6) |
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391 | (1) |
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392 | (6) |
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398 | (3) |
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401 | (3) |
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404 | (6) |
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410 | (1) |
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410 | (2) |
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412 | (1) |
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413 | (10) |
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Geometry of the assembly and meshing |
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423 | (4) |
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Creating contact interface |
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427 | (9) |
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436 | (6) |
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Postprocessing (first load step) |
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442 | (2) |
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Solution (second load step) |
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444 | (7) |
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Postprocessing (second load step) |
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451 | (2) |
Index |
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453 | |