| Foreword |
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xxxiii | |
| Preface |
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xxxv | |
| Acknowledgments |
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xxxvii | |
| 1 Introduction |
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1 | (10) |
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1 | (2) |
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1 | (1) |
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2 | (1) |
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1.1.3 ANSYS Workbench Models |
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2 | (1) |
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1.1.4 ANSYS Mechanical APDL Code |
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3 | (1) |
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1.2 A Philosophy for Finite Element Modeling |
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3 | (3) |
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6 | (5) |
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7 | (1) |
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8 | (1) |
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1.3.3 Transient Dynamic Analysis |
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9 | (1) |
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10 | (1) |
| 2 Background |
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11 | (90) |
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11 | (1) |
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11 | (2) |
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2.3 Pressure-Formulated Acoustic Elements |
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13 | (1) |
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2.4 Fluid-Structure Interaction |
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13 | (4) |
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2.5 Displacement-Formulated Acoustic Elements |
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17 | (2) |
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2.6 Practical Aspects of Modeling Acoustic Systems with FEA |
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19 | (3) |
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2.7 Element Types in ANSYS for Acoustic Analyses |
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22 | (10) |
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2.7.1 FLUID29 2D Acoustic Fluid Element |
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23 | (1) |
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2.7.2 FLUID30 3D Acoustic Fluid Element |
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24 | (2) |
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2.7.3 FLUID129 2D Infinite Acoustic Element |
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26 | (2) |
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2.7.4 FLUID130 3D Infinite Acoustic Element |
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28 | (2) |
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2.7.5 FLUID220 3D Acoustic Fluid 20-Node Solid Element |
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30 | (1) |
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2.7.6 FLUID221 3D Acoustic Fluid 10-Node Solid Element |
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31 | (1) |
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2.8 ACT Acoustics Extension |
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32 | (45) |
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32 | (4) |
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36 | (15) |
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36 | (11) |
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2.8.2.2 Normal Surface Velocity |
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47 | (1) |
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48 | (1) |
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49 | (1) |
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2.8.2.5 Normal Surface Acceleration |
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49 | (2) |
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51 | (1) |
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2.8.2.7 Surface Acceleration |
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51 | (1) |
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51 | (3) |
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52 | (1) |
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53 | (1) |
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53 | (1) |
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2.8.4 Boundary Conditions |
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54 | (8) |
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2.8.4.1 Acoustic Pressure |
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54 | (1) |
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2.8.4.2 Impedance Boundary |
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55 | (3) |
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2.8.4.3 Thermo-viscous BLI Boundary |
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58 | (1) |
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58 | (1) |
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2.8.4.5 Radiation Boundary |
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59 | (1) |
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2.8.4.6 Absorbing Elements |
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59 | (1) |
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2.8.4.7 Attenuation Surface |
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60 | (1) |
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2.8.4.8 Equivalent Source Surface |
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61 | (1) |
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62 | (15) |
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2.8.5.1 Acoustic Pressure |
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62 | (3) |
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2.8.5.2 Acoustic Sound Pressure Level |
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65 | (1) |
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2.8.5.3 Acoustic Velocity |
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66 | (1) |
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2.8.5.4 Acoustic Pressure Gradient |
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67 | (1) |
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2.8.5.5 Acoustic Far Field |
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67 | (3) |
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2.8.5.6 Acoustic Near Field |
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70 | (3) |
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2.8.5.7 Acoustic Time Frequency Plot |
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73 | (1) |
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2.8.5.8 Muffler Transmission Loss |
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74 | (1) |
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75 | (1) |
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2.8.5.10 Insertion of Boundary Conditions Based on Named Selections |
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76 | (1) |
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2.8.5.11 Insertion of FSI Interfaces Based on Contacts |
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77 | (1) |
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77 | (2) |
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78 | (1) |
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78 | (1) |
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2.10 Other Measures of Acoustic Energy |
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79 | (8) |
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80 | (2) |
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82 | (2) |
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2.10.3 Acoustic Potential Energy |
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84 | (1) |
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2.10.4 Acoustic Energy Density |
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85 | (1) |
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2.10.5 Structural Kinetic Energy |
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86 | (1) |
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87 | (3) |
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90 | (11) |
| 3 Ducts |
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101 | (124) |
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101 | (1) |
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101 | (5) |
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3.2.1 Natural Frequencies |
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102 | (1) |
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103 | (2) |
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3.2.3 Acoustic Performance Metrics |
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105 | (1) |
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3.3 Example of a Circular Duct |
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106 | (60) |
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107 | (23) |
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3.3.2 Results: Effect of Mesh Density |
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130 | (4) |
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3.3.3 Natural Frequencies of Open-Rigid and Open-Open Ducts |
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134 | (4) |
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3.3.4 Pressure and Velocity Distribution along the Duct |
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138 | (6) |
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3.3.5 Results: Pressure and Velocity along the Duct |
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144 | (2) |
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3.3.6 Infinite and Semi-Infinite Loss-Less Ducts |
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146 | (1) |
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3.3.7 Radiation from an Open-Ended Duct |
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147 | (19) |
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148 | (1) |
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149 | (10) |
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159 | (2) |
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3.3.7.4 Impedance Varying with Frequency |
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161 | (3) |
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164 | (2) |
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166 | (27) |
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166 | (1) |
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3.4.2 Example: Quarter-Wavelength Tube Silencer |
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167 | (19) |
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167 | (3) |
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170 | (1) |
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170 | (16) |
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3.4.3 Example: Expansion Chamber Silencer |
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186 | (14) |
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187 | (1) |
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188 | (1) |
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189 | (2) |
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191 | (2) |
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193 | (7) |
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3.6 Gas Temperature Variations |
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200 | (25) |
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200 | (3) |
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203 | (1) |
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204 | (16) |
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3.6.4 ANSYS Mechanical APDL |
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220 | (5) |
| 4 Sound Inside a Rigid-Walled Cavity |
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225 | (30) |
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225 | (1) |
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4.2 Description of the System |
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225 | (1) |
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225 | (3) |
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4.3.1 Natural Frequencies and Mode Shapes |
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226 | (1) |
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227 | (1) |
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228 | (27) |
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228 | (1) |
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229 | (17) |
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4.4.3 ANSYS Mechanical APDL |
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246 | (3) |
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249 | (6) |
| 5 Introduction to Damped Acoustic Systems |
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255 | (66) |
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255 | (1) |
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255 | (4) |
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5.2.1 Viscous or Linear Damping |
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256 | (2) |
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5.2.2 Hysteretic or Structural Damping |
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258 | (1) |
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258 | (1) |
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259 | (1) |
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5.3 General Discussion of Damping of Vibro-Acoustic Systems in ANSYS |
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259 | (7) |
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266 | (3) |
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5.5 Example: 2D Impedance Tube with a Real Admittance |
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269 | (10) |
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5.5.1 Description of the System |
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269 | (1) |
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270 | (2) |
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272 | (1) |
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273 | (1) |
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5.5.5 ANSYS Mechanical APDL |
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273 | (6) |
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5.6 Example: 2D Impedance Tube with a Complex Termination Impedance |
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279 | (5) |
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5.6.1 Description of the System |
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279 | (1) |
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5.6.2 ANSYS Mechanical APDL |
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280 | (4) |
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5.7 Example: 2D Impedance Tube |
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284 | (6) |
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285 | (1) |
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286 | (1) |
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287 | (1) |
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5.7.4 ANSYS Mechanical APDL |
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287 | (3) |
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5.8 Example: 3D Impedance Tube |
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290 | (12) |
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290 | (1) |
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290 | (10) |
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300 | (2) |
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5.9 Example: 3D Waveguide with Visco-Thermal Losses |
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302 | (11) |
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303 | (2) |
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305 | (1) |
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306 | (1) |
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306 | (7) |
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5.9.5 ANSYS Mechanical APDL |
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313 | (1) |
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5.10 Application of Spectral Damping to a Rigid-Walled Cavity |
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313 | (8) |
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5.10.1 Spectral Damping Types |
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314 | (2) |
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5.10.2 Example: Damping in a Rigid-Walled Cavity |
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316 | (1) |
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316 | (1) |
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5.10.4 ANSYS Mechanical APDL |
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316 | (7) |
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5.10.4.1 Constant Damping Ratio |
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317 | (1) |
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5.10.4.2 Rayleigh Damping |
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318 | (1) |
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5.10.4.3 Mode-Dependent Damping |
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319 | (2) |
| 6 Sound Absorption in a Lined Duct |
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321 | (48) |
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321 | (1) |
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321 | (1) |
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6.3 Description of the System |
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322 | (1) |
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323 | (12) |
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6.4.1 Insertion Loss (IL) and Transmission Loss (TL) |
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323 | (1) |
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6.4.2 Locally Reacting Liners |
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324 | (2) |
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6.4.3 Darcy's Law, Flow Resistivity, and the Relationship with Impedance |
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326 | (2) |
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326 | (1) |
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326 | (1) |
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6.4.3.3 Delany and Bazley |
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327 | (1) |
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6.4.3.4 The Effect of Temperature on Impedance |
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328 | (1) |
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6.4.4 Bulk Reacting Liners |
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328 | (7) |
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6.4.4.1 Isotropic Media with No Mean Flow |
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329 | (1) |
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6.4.4.2 Perforated and Limp Surface Facings |
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329 | (1) |
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330 | (5) |
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6.5 Example: Locally Reacting Liner |
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335 | (28) |
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338 | (1) |
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338 | (19) |
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6.5.2.1 Rigid-Walled Duct |
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338 | (17) |
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6.5.2.2 Local Reacting Liner |
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355 | (2) |
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6.5.3 ANSYS Mechanical APDL |
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357 | (4) |
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361 | (2) |
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6.6 Example: Bulk Reacting Liner |
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363 | (6) |
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363 | (1) |
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364 | (1) |
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6.6.3 ANSYS Mechanical APDL |
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365 | (1) |
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365 | (4) |
| 7 Room Acoustics |
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369 | (62) |
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369 | (1) |
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7.2 Description of the System |
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369 | (1) |
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370 | (6) |
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370 | (3) |
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7.3.2 Sound Power from Harmonic Sources |
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373 | (3) |
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7.3.2.1 Determination of Sound Power from a Flow Acoustic Source |
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374 | (1) |
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7.3.2.2 Determination of Sound Power from an Acoustic Mass Source |
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375 | (1) |
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7.4 Example: Reverberation Room |
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376 | (55) |
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379 | (15) |
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379 | (1) |
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7.4.1.2 Model: ANSYS Workbench |
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379 | (14) |
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7.4.1.3 Model: ANSYS Mechanical APDL |
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393 | (1) |
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394 | (8) |
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7.4.2.1 Modal Analysis: MATLAB |
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394 | (2) |
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7.4.2.2 Modal Analysis: ANSYS Workbench |
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396 | (5) |
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7.4.2.3 Modal Analysis: ANSYS Mechanical APDL |
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401 | (1) |
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402 | (12) |
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7.4.3.1 Harmonic Analysis: MATLAB |
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402 | (1) |
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7.4.3.2 Harmonic Analysis: ANSYS Workbench |
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403 | (10) |
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7.4.3.3 Harmonic Analysis: ANSYS Mechanical APDL |
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413 | (1) |
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414 | (17) |
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7.4.4.1 Transient Analysis: MATLAB |
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416 | (1) |
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7.4.4.2 Discussion of Transient Solvers in ANSYS |
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417 | (1) |
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7.4.4.3 Transient Analysis: ANSYS Workbench |
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418 | (9) |
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7.4.4.4 Transient Analysis: ANSYS Mechanical APDL |
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427 | (4) |
| 8 Radiation and Scattering |
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431 | (102) |
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431 | (1) |
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8.2 Wave-Absorbing Conditions |
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431 | (7) |
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8.2.1 Perfectly Matched Layers |
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432 | (3) |
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435 | (1) |
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8.2.3 Infinite Acoustic Elements |
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436 | (2) |
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8.3 Example: Directivity of Acoustic Wave Sources |
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438 | (21) |
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8.3.1 Comparison of Monopole Acoustic Sources Calculated Theoretically and Using ANSYS Workbench |
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441 | (8) |
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8.3.2 Comparison of Monopole Acoustic Wave Source and Acoustic Mass Source |
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449 | (3) |
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8.3.3 Comparison of Monopole and Back-Enclosed Loudspeaker Acoustic Sources |
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452 | (3) |
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8.3.4 Comparison of Dipole Acoustic Source Calculated Theoretically and Using ANSYS Workbench |
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455 | (3) |
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8.3.5 Comparison of Dipole and Bare Loudspeaker |
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458 | (1) |
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8.4 Example: Radiation of a Baffled Piston |
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459 | (52) |
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459 | (1) |
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460 | (2) |
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462 | (3) |
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465 | (43) |
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8.4.5 ANSYS Mechanical APDL |
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508 | (3) |
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511 | (1) |
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8.6 Example: Scattering from a Cylinder |
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512 | (21) |
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512 | (1) |
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512 | (3) |
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515 | (4) |
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519 | (14) |
| 9 Fluid-Structure Interaction |
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533 | (68) |
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533 | (1) |
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9.2 Fluid-Structure Interaction Using ANSYS |
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533 | (18) |
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533 | (1) |
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9.2.2 Example: Transmission Loss of a Plate in a Duct |
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534 | (17) |
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9.3 FSI Using Modal Coupling |
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551 | (6) |
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551 | (1) |
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552 | (5) |
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9.4 Example: Flexible Plate Attached to an Acoustic Cavity |
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557 | (30) |
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559 | (4) |
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563 | (2) |
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565 | (12) |
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9.4.4 ANSYS Mechanical APDL |
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577 | (3) |
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9.4.5 MATLAB Code for Modal Coupling of ANSYS Models |
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580 | (7) |
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9.5 Example: Transmission Loss of a Simply Supported Panel |
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587 | (14) |
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9.5.1 Learning Objectives |
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587 | (1) |
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587 | (4) |
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591 | (1) |
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9.5.4 ANSYS Mechanical APDL |
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591 | (10) |
| A Files Included with This Book |
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601 | (16) |
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A.1 Table of Files Included with This Book |
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601 | (16) |
| B Advice for Using ANSYS |
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617 | (2) |
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617 | (2) |
| C MATLAB Functions for Modal Coupling |
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619 | (12) |
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C.1 MATLAB Functions for Modal Coupling |
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619 | (12) |
| D Errors |
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631 | (18) |
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D.1 Errors Relating to References |
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631 | (2) |
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D.1.1 Definition of Power |
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631 | (1) |
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D.1.2 Equation for Scattered Pressure by a Cylinder |
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631 | (2) |
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D.1.3 Temperature Gradient in a Duct |
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633 | (1) |
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D.2 Issues Relating to ANSYS |
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633 | (16) |
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D.2.1 ANSYS Mechanical APDL and ANSYS Workbench |
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634 | (6) |
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634 | (1) |
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635 | (3) |
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638 | (2) |
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D.2.2 ACT Acoustics Extension |
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640 | (2) |
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640 | (1) |
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641 | (1) |
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642 | (1) |
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D.2.3.1 ANSYS Documentation |
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642 | (1) |
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D.2.4 ANSYS Errors Messages |
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643 | (6) |
| E Export of Nodal Area from ANSYS |
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649 | (2) |
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E.1 Calculation of Nodal Area |
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649 | (2) |
| References |
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651 | (14) |
| Index |
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665 | |