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Historical Development of Vibration Analysis of Continuous Structural Elements |
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1 | (6) |
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4 | (3) |
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7 | (44) |
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Shell Coordinates and Infinitesimal Distances in Shell Layers |
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8 | (5) |
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Stress--Strain Relationships |
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13 | (2) |
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Strain--Displacement Relationships |
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15 | (7) |
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22 | (2) |
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Membrane Forces and Bending Moments |
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24 | (4) |
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28 | (2) |
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Love's Equations by Way of Hamilton's Principle |
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30 | (5) |
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35 | (4) |
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39 | (4) |
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Other Deep Shell Theories |
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43 | (3) |
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Shells of Nonuniform Thickness References |
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46 | (1) |
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47 | (4) |
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50 | (1) |
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Equations of Motion for Commonly Occurring Geometries |
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51 | (13) |
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51 | (3) |
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54 | (2) |
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Circular Cylindrical Shell |
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56 | (1) |
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57 | (2) |
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59 | (5) |
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63 | (1) |
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64 | (11) |
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64 | (3) |
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67 | (1) |
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68 | (1) |
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69 | (3) |
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Torsional Vibration of Circular Cylindrical Shell and Reduction to a Torsion Bar |
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72 | (3) |
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74 | (1) |
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Natural Frequencies and Modes |
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75 | (70) |
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75 | (2) |
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Transversely Vibrating Beams |
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77 | (5) |
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82 | (4) |
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Rectangular Plates that are Simply supported Along Two Opposing Edges |
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86 | (7) |
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Circular Cylindrical Shell Simply Supported |
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93 | (9) |
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Circular Plates Vibrating Transversely |
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102 | (1) |
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Example: Plate Clamped at Boundary |
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103 | (3) |
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Orthogonality Property of Natural Modes |
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106 | (3) |
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109 | (4) |
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Orthogonal Modes from Nonorthogonal Superposition Modes |
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113 | (4) |
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Distortion of Experimental Modes Because of Damping |
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117 | (3) |
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120 | (2) |
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Uncoupling of Equations of Motion |
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122 | (2) |
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In-Plane Vibrations of Rectangular Plates |
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124 | (4) |
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In-Plane Vibration of Circular Plates |
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128 | (3) |
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Deep Circular Cylindrical Panel Simply Supported at All Edges |
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131 | (2) |
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Natural Mode Solutions by Power Series |
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133 | (9) |
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On Regularities Concerning Nodelines |
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142 | (3) |
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143 | (2) |
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Simplified Shell Equations |
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145 | (33) |
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145 | (1) |
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Axisymmetric Eigenvalues of a Spherical Shell |
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146 | (5) |
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151 | (1) |
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Circular Cylindrical Shell |
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152 | (1) |
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Zero In-Plane Deflection Approximation |
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153 | (1) |
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Example: Curved Fan Blade |
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154 | (1) |
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Donnell-Mushtari-Vlasov Equations |
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154 | (3) |
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Natural Frequencies and Modes |
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157 | (1) |
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Circular Cylindrical Shell |
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157 | (2) |
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Circular Duct Clamped at Both Ends |
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159 | (2) |
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Vibrations of a Freestanding Smokestack |
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161 | (1) |
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Special Cases of the Simply Supported Closed Shell and Curved Panel |
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162 | (1) |
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163 | (2) |
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165 | (2) |
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Inextensional Approximation: Ring |
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167 | (1) |
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168 | (2) |
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The Barrel-Shaped Shell Using Modified Love Equations |
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170 | (4) |
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Doubly Curved Rectangular Plate |
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174 | (4) |
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176 | (2) |
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Approximate Solution Techniques |
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178 | (29) |
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Approximate Solutions by Way of the Variational Integral |
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179 | (2) |
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181 | (3) |
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Galerkin's Method Applied to Shell Equations |
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184 | (7) |
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191 | (5) |
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196 | (3) |
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199 | (2) |
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Strain Energy Expressions |
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201 | (6) |
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206 | (1) |
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Forced Vibrations of Shells by Modal Expansion |
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207 | (49) |
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Model Participation Factor |
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207 | (3) |
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210 | (1) |
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Solution of the Modal Participation Factor Equation |
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211 | (3) |
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214 | (1) |
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Steady-State Harmonic Response |
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215 | (1) |
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Step and Impulse Response |
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216 | (1) |
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Influence of Load Distribution |
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217 | (3) |
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220 | (5) |
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225 | (2) |
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227 | (3) |
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Impulsive Forces and Point Forces Described by Dirac Delta Functions |
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230 | (2) |
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Definitions and Integration Property of the Dirac Delta Function |
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232 | (1) |
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Selection of Mode Phase Angles for Shells of Revolution |
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233 | (3) |
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Steady-State Circular Cylindrical Shell Response to Harmonic Point Load with All Mode Components Considered |
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236 | (4) |
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Initial Velocity Excitation of a Simply Supported Cylindrical Shell |
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240 | (3) |
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243 | (1) |
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Rectangular Plate Response to Initial Displacement Caused by Static Sag |
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243 | (3) |
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The Concept of Modal Mass, Stiffness Damping and Forcing |
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246 | (2) |
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Steady State Response of Shells to Periodic Forcing |
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248 | (3) |
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Plate Response to a Periodic Square Wave Forcing |
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251 | (2) |
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Beating Response to Steady state Harmonic Forcing |
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253 | (3) |
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255 | (1) |
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Dynamic Influence (Green's) Function |
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256 | (25) |
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Formulation of the Influence Function |
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257 | (2) |
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Solution to General Forcing Using the Dynamic Influence Function |
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259 | (1) |
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260 | (1) |
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Dynamic Influence Function for the Simply Supported Shell |
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261 | (2) |
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Dynamic Influence Function for the Closed Circular Ring |
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263 | (1) |
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Traveling Point Load on Simply Supported Cylindrical Shell |
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264 | (3) |
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Point Load Traveling Around a Closed Circular Cylindrical Shell in Circumferential Direction |
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267 | (4) |
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Steady-State Harmonic Green's Function |
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271 | (1) |
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Rectangular Plate Examples |
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272 | (5) |
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Floating Ring Impacted by a Point Mass |
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277 | (4) |
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279 | (2) |
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281 | (20) |
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Formulation of Shell Equations That Include Moment Loading |
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282 | (2) |
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284 | (1) |
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Rotating Point Moment on a Plate |
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285 | (2) |
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Rotating Point Moment on a Shell |
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287 | (2) |
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Rectangular Plate Excited by a Line Moment |
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289 | (2) |
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Response of a Ring on an Elastic Foundation to a Harmonic Point Moment |
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291 | (4) |
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295 | (6) |
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300 | (1) |
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Vibration of Shells and Membranes Under the Influence of Initial Stresses |
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301 | (21) |
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Strain-Displacement Relationships |
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302 | (3) |
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305 | (4) |
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309 | (2) |
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Example: The Circular Membrane |
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311 | (4) |
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315 | (3) |
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Donnell-Mushtari-Valsove Equations Extended to Include Initial Stresses |
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318 | (4) |
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320 | (2) |
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Shell Equations with Shear Deformation and Rotatory Inertia |
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322 | (15) |
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322 | (3) |
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Beams with Shear Deflection and Rotatory Inertia |
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325 | (4) |
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Plates with Transverse Shear Deflection and Rotatory Inertia |
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329 | (4) |
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Circular Cylindrical Shells with Transverse Shear Deflection and Rotatory Inertia |
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333 | (4) |
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336 | (1) |
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Combinations of Structures |
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337 | (43) |
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338 | (1) |
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Mass Attached to Cylindrical Panel |
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339 | (3) |
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Spring Attached to Shallow Cylindrical Panel |
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342 | (2) |
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Harmonic Response of a System in Terms of Its Component Receptances |
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344 | (3) |
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347 | (3) |
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Harmonic Force Applied Though a Spring |
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350 | (3) |
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Steady-State Response to Harmonic Displacement Excitation |
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353 | (1) |
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354 | (2) |
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356 | (4) |
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Two Systems Joined by Two or More Displacement |
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360 | (2) |
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Suspension of an Instrument Package in a Shell |
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362 | (3) |
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Subtracting Structural Subsystems |
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365 | (5) |
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Three and More Systems Connected |
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370 | (4) |
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Examples of Three Systems Connected to Each Other |
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374 | (6) |
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378 | (2) |
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380 | (11) |
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Equivalent Viscous Damping Coefficient |
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381 | (1) |
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381 | (3) |
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Direct Utilization of Hysteresis Model in Analysis |
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384 | (2) |
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Hysteretically Damped Plate Excited by Shaker |
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386 | (2) |
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Steady State Response to Periodic Forcing |
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388 | (3) |
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390 | (1) |
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Shells Made of Composite Material |
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391 | (24) |
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391 | (1) |
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Lamina-Constitutive Relationship |
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392 | (5) |
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397 | (2) |
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399 | (1) |
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400 | (2) |
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Circular Cylindrical Shell |
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402 | (4) |
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Orthotropic Nets or Textiles Under Tension |
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406 | (2) |
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408 | (2) |
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Shells Made of Homogeneous and Isotropic Lamina |
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410 | (2) |
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Simply Supported Sandwich Plates and Beams Composed of Three Homogeneous and Isotropic Lamina |
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412 | (3) |
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414 | (1) |
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415 | (23) |
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String Parallel to Axis of Rotation |
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415 | (7) |
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Beam Parallel to Axis of Rotation |
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422 | (3) |
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425 | (3) |
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Rotating Ring Using Inextensional Approximation |
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428 | (3) |
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Cylindrical Shell Rotating with Constant Spin About Its Axis |
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431 | (1) |
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General Rotations of Elastic Systems |
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432 | (1) |
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Shells of Revolution with Constant Spin About their Axes of Revolution |
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433 | (3) |
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436 | (2) |
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436 | (2) |
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438 | (8) |
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438 | (2) |
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440 | (3) |
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443 | (1) |
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Arch, Ring, Beam, and Rod |
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443 | (1) |
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444 | (2) |
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445 | (1) |
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446 | (23) |
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Equations of Motion for Shells on Elastic Foundations |
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447 | (1) |
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Natural Frequencies and Modes |
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447 | (1) |
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Plates on Elastic Foundations |
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448 | (1) |
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Ring on Elastic Foundation |
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449 | (2) |
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Donnell-Mushtari-Vlasov Equations with Transverse Elastic Foundation |
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451 | (1) |
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Forces Transmitted into the Base of the Elastic Foundation |
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451 | (2) |
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Vertical Force Transmission Through the Elastic Foundation of a Ring on a Rigid Wheel |
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453 | (5) |
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Response of a Shell on an Elastic Foundation to Base Excitation |
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458 | (2) |
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Plate Examples of Base Excitations and Force Transmission |
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460 | (2) |
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Natural Frequencies and Modes of a Ring on an Elastic Foundation in Ground Contact at a Point |
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462 | (2) |
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Response of a Ring on an Elastic Foundation to a Harmonic Point Displacement |
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464 | (5) |
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468 | (1) |
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469 | (11) |
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469 | (2) |
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Derivation of Exact Similitude Relationships for Natural Frequencies of Thin Shells |
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471 | (1) |
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472 | (2) |
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Shallow Spherical Panels of Arbitrary Contours (Influence of Curvature) |
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474 | (2) |
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476 | (1) |
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Approximate Scaling of Shells Controlled by Membrane Stiffness |
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477 | (1) |
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Approximate Scaling of Shells Controlled by Bending Stiffness |
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478 | (2) |
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479 | (1) |
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Interactions with Liquids and Gases |
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480 | (35) |
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Fundamental Form in Three-Dimensional Curvilinear Coordinates |
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480 | (2) |
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Stress-Strain-Displacement Relationships |
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482 | (4) |
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486 | (1) |
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Equations of Motion of Vibroelasticity with Shear |
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487 | (5) |
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Example: Cylindrical Coordinates |
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492 | (1) |
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Example: Cartesian Coordinates |
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493 | (2) |
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One-Dimensional Wave Equations for Solids |
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495 | (1) |
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Three-Dimensional Wave Equations for Solids |
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496 | (2) |
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Three-Dimensional Wave Equations for Inviscid Compressible Liquids and Gases (Acoustics) |
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498 | (4) |
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Interface Boundary Conditions |
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502 | (1) |
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Example: Acoustic Radiation |
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502 | (3) |
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505 | (1) |
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506 | (5) |
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Orthogonality of Natural Modes for Three-Dimensional Solids, Liquids, and Gases |
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511 | (4) |
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513 | (2) |
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515 | (24) |
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515 | (5) |
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520 | (13) |
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Free and Forced Vibration Solutions |
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533 | (6) |
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538 | (1) |
| Index |
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539 | |