| PREFACE |
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xi | (2) |
| ACKNOWLEDGEMENTS |
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xiii | |
| INTRODUCTION |
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1 | (6) |
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7 | (36) |
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7 | (2) |
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9 | (2) |
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11 | (3) |
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1.4 Vector and Scalar Identities |
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14 | (4) |
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18 | (1) |
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19 | (4) |
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1.7 Spherical Bessel Functions |
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23 | (3) |
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26 | (2) |
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28 | (2) |
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30 | (4) |
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1.11 Numerical Integration |
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34 | (9) |
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2 RESPONSE OF DYNAMICAL SYSTEMS |
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43 | (18) |
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2.1 Time-Harmonic Response |
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43 | (4) |
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47 | (8) |
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2.3 Time-Harmonic Power Flow |
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55 | (6) |
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61 | (22) |
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3.1 Differential Equation |
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61 | (5) |
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66 | (1) |
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3.3 Green's Function in Cartesian Coordinates |
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67 | (3) |
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3.4 Green's Function in Cylindrical Coordinates |
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70 | (3) |
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3.5 Green's Function in Spherical Coordinates |
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73 | (2) |
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3.6 Arbitrary Source Distribution |
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75 | (2) |
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77 | (1) |
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3.8 Helmholtz Integral Equation |
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77 | (6) |
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4 SCATTERING FROM HARD AND SOFT STRUCTURES |
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83 | (32) |
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83 | (5) |
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88 | (4) |
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92 | (5) |
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4.4 Axisymmetric Slender Body |
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97 | (9) |
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4.5 Monopole in Axisymmetric Channel |
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106 | (9) |
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5 ACOUSTIC FINITE ELEMENTS |
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115 | (18) |
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5.1 Variational Principle |
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115 | (4) |
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5.2 Finite Element Discretization |
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119 | (2) |
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5.3 Acoustic Finite Elements |
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121 | (2) |
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5.4 Radiation Boundary Condition |
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123 | (2) |
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125 | (1) |
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5.6 Axisymmetric Elements |
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126 | (7) |
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6 ELASTIC EQUATIONS AND CONSTITUTIVE RELATIONS |
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133 | (30) |
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133 | (3) |
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6.2 Isotropic Displacement Equations |
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136 | (4) |
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6.3 Finite Element Variational Principle |
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140 | (4) |
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144 | (1) |
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6.5 Isotropic Elastic Constants |
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144 | (4) |
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148 | (2) |
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6.7 Unidirectional Fibre Reinforcement |
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150 | (1) |
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6.8 Thin Layered Composite |
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151 | (4) |
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6.9 Local to Global Transformation |
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155 | (4) |
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6.10 Effective Constants of Symmetric Stack |
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159 | (4) |
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7 ACOUSTICS OF SPHERICAL SHELL |
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163 | (16) |
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163 | (2) |
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7.2 Mechanical Excitation |
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165 | (6) |
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7.3 Acoustical Excitation |
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171 | (8) |
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8 ACOUSTICS OF THIN PLATE |
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179 | (62) |
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179 | (1) |
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8.2 Mechanical Excitation |
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180 | (9) |
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189 | (2) |
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8.4 Plane Wave Excitation |
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191 | (2) |
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8.5 Transient Sound Radiation |
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193 | (5) |
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8.6 Frame and Bulkhead Stiffened Plate |
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198 | (9) |
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8.7 Orthogonally Stiffened Plate |
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207 | (6) |
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8.8 Plate with Point Attachments |
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213 | (8) |
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8.9 Parallel Plates with Attachments |
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221 | (7) |
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8.10 Plate with Periodic Resonators |
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228 | (13) |
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9 ACOUSTICS OF CYLINDRICAL SHELL |
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241 | (42) |
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9.1 Equations of Isotropic Shell |
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241 | (3) |
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9.2 Equations of Anisotropic Shell |
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244 | (2) |
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9.3 Mechanical Excitation |
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246 | (7) |
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253 | (6) |
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9.5 Plane Wave Excitation |
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259 | (4) |
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9.6 Periodic Rib Stiffening |
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263 | (10) |
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9.7 Axisymmetric Attachments |
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273 | (5) |
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278 | (5) |
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10 SPHERICALLY LAYERED MEDIA |
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283 | (18) |
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283 | (1) |
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10.2 Acoustic Fluid Layer |
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284 | (3) |
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10.3 Isotropic Elastic Layer |
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287 | (4) |
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291 | (2) |
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10.5 Assembly of Elements |
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293 | (1) |
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10.6 Mechanical Excitation |
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294 | (1) |
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10.7 Acoustical Excitation |
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295 | (2) |
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297 | (4) |
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301 | (42) |
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301 | (2) |
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11.2 Acoustic Fluid Layer |
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303 | (2) |
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11.3 Isotropic Elastic Layer |
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305 | (6) |
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11.4 Orthotropic Elastic Layer |
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311 | (6) |
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317 | (2) |
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11.6 Assembly of Elements |
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319 | (1) |
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11.7 Mechanical Excitation |
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320 | (5) |
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325 | (4) |
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11.9 Plane Wave Excitation |
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329 | (4) |
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11.10 Low Frequency Sound Propagation |
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333 | (10) |
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12 CYLINDRICALLY LAYERED MEDIA |
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343 | (30) |
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343 | (2) |
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12.2 Acoustic Fluid Layer |
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345 | (2) |
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12.3 Isotropic Elastic Layer |
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347 | (7) |
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12.4 Orthotropic Elastic Layer |
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354 | (5) |
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359 | (2) |
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12.6 Assembly of Elements |
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361 | (1) |
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12.7 Mechanical Excitation |
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362 | (4) |
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366 | (3) |
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12.9 Plane Wave Excitation |
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369 | (4) |
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13 SIMPLY SUPPORTED CYLINDER |
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373 | (22) |
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13.1 Isotropic Thin Cylinder |
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373 | (3) |
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13.2 Point Force Excitation |
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376 | (5) |
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13.3 Plane Wave Excitation |
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381 | (4) |
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13.4 Anisotropic Layered Cylinder |
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385 | (10) |
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14 FINITE AXISYMMETRIC STRUCTURE |
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395 | (34) |
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395 | (2) |
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397 | (1) |
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14.3 Helmholtz Integral Equation |
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397 | (6) |
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403 | (3) |
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14.5 Fluid-Structure Equations |
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406 | (2) |
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14.6 Conical Shell Finite Element |
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408 | (6) |
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14.7 Axisymmetric Solid Finite Element |
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414 | (6) |
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14.8 System Dynamic Stiffness |
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420 | (3) |
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423 | (6) |
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LIST OF COMMONLY OCCURRING SYMBOLS |
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429 | (4) |
| INDEX |
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433 | |