| Dedication Page |
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| About the Author |
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| Preface |
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ix | |
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3 | (20) |
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3 | (3) |
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Development of the Theory of Plates and Shells |
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3 | (2) |
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Development of the Theory of Laminated Plates and Shells |
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5 | (1) |
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Vibration of Composite Shells and Plates |
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6 | (1) |
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Fundamental Equations of Elasticity in Rectangular Coordinates |
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6 | (9) |
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7 | (1) |
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8 | (4) |
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Equations of Motion and Boundary Conditions |
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12 | (2) |
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Conditions of Compatibility |
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14 | (1) |
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Energy and Variational Principles |
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15 | (8) |
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Strain, Potential and Kinetic Energy |
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16 | (1) |
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16 | (7) |
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23 | (36) |
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Three Dimensional Elasticity Theory in Curvilinear Coordinates |
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23 | (10) |
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23 | (5) |
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28 | (3) |
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31 | (1) |
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32 | (1) |
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32 | (1) |
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33 | (13) |
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34 | (2) |
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36 | (5) |
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41 | (1) |
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42 | (2) |
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44 | (2) |
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46 | (6) |
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46 | (1) |
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47 | (2) |
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49 | (1) |
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50 | (2) |
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52 | (1) |
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52 | (1) |
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53 | (1) |
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Synthesis of Laminated Shell Equations |
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54 | (5) |
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59 | (16) |
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59 | (2) |
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59 | (1) |
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60 | (1) |
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60 | (1) |
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61 | (4) |
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65 | (1) |
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The Finite Element Methods |
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66 | (6) |
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Deriving Element Parameters |
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68 | (2) |
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70 | (1) |
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Imposing the Boundary Conditions and Post-processing |
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70 | (1) |
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71 | (1) |
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72 | (3) |
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75 | (34) |
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Fundamental Theory of Thin Beams |
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76 | (6) |
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76 | (1) |
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Force and Moment Resultants |
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77 | (1) |
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78 | (2) |
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80 | (1) |
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81 | (1) |
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Fundamental Theory of Moderately Thick Beams |
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82 | (6) |
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82 | (1) |
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Force and Moment Resultants |
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82 | (2) |
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84 | (2) |
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86 | (1) |
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87 | (1) |
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Simply Supported Beams and Closed Rings |
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88 | (6) |
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89 | (1) |
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90 | (1) |
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91 | (1) |
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91 | (3) |
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Laminated Curved Thin Beams with Arbitrary Boundaries |
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94 | (15) |
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Exact Solutions for Thin Beams |
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94 | (1) |
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Vibration of Curved Beams Using the Ritz Method |
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95 | (4) |
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99 | (2) |
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101 | (8) |
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109 | (74) |
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Fundamental Equations of Thin Plates |
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109 | (7) |
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110 | (1) |
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111 | (1) |
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111 | (1) |
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Equations of Thin Plates with Rectangular Orthotropy |
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112 | (4) |
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Fundamental Equations of Thick Plates |
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116 | (5) |
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116 | (1) |
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117 | (1) |
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118 | (1) |
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Equations of Thick Plates with Rectangular Orthotropy |
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119 | (2) |
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Vibration of Rectangular Plates |
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121 | (38) |
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Simply Supported Cross-Ply Rectangular Plates |
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124 | (5) |
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Simply Supported Antisymmetric Angle-Ply Rectangular Plates |
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129 | (4) |
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Cross-Ply Plates with Two Opposite Edges Simply Supported |
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133 | (4) |
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Antisymmetric Angle-Ply Plates with Two Opposite Edges Simply Supported |
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137 | (2) |
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Other Lamination Sequences and Boundary Conditions |
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139 | (20) |
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Triangular and Trapezoidal Plates |
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159 | (13) |
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160 | (6) |
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166 | (6) |
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172 | (6) |
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Circular Plates with Rectangular Orthotropy |
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173 | (1) |
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Circular Plates with Circular Orthotropy |
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173 | (5) |
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178 | (5) |
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183 | (76) |
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Fundamental Equations of Thin Shallow Shells |
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185 | (5) |
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186 | (1) |
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186 | (1) |
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186 | (1) |
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Equations for Thin Shallow Shells with Rectangular Orthotropy |
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187 | (3) |
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Fundamental Equations of Thick Shallow Shells |
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190 | (5) |
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190 | (1) |
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191 | (2) |
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193 | (1) |
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Equations for Thick Shallow Shells with Rectangular Orthotropy |
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193 | (2) |
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Shallow Shells with Rectangular Planform |
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195 | (46) |
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Simply Supported Shallow Shells |
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196 | (4) |
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Shallow Shells with Two Opposite Edges Simply Supported |
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200 | (3) |
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General Boundary Conditions |
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203 | (2) |
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Completely Free Shallow Shells |
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205 | (9) |
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Cantilevered Shallow Shells |
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214 | (10) |
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Cantilevered Pretwisted Plates |
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224 | (7) |
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231 | (5) |
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Shallow Shells with Other Boundary Conditions |
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236 | (5) |
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Shallow Shells on Trapezoidal and Triangular Planforms |
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241 | (8) |
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241 | (6) |
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247 | (2) |
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Shallow Shells on Circular Planforms (spherical Caps) |
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249 | (10) |
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Thin Shallow Shells on Circular Planforms |
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251 | (2) |
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Thick Shallow Shells on Circular Planforms |
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253 | (1) |
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Free Vibration of Spherical Caps |
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254 | (5) |
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259 | (64) |
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Equations for Thin Cylindrical Shells |
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261 | (4) |
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262 | (1) |
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262 | (1) |
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262 | (1) |
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Energy Functionals for Cylindrical Shells |
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263 | (2) |
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265 | (3) |
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265 | (1) |
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265 | (1) |
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266 | (2) |
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Simply Supported Cylindrical Shells |
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268 | (18) |
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268 | (12) |
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280 | (6) |
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Closed Cylindrical Shells with Arbitrary Boundaries |
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286 | (7) |
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Comparison with Exact Solutions |
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289 | (1) |
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290 | (1) |
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Frequencies for Cross-ply Closed Shells |
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291 | (2) |
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Vibrations of Open Cylindrical Shells |
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293 | (4) |
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Comparison with Exact Solutions |
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294 | (1) |
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295 | (1) |
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Frequencies for Deep Cylindrical Shells |
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295 | (2) |
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Equations and Analysis of Barrel Shells |
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297 | (17) |
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298 | (9) |
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307 | (7) |
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Non-circular Cylindrical Shells |
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314 | (4) |
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Thin Non-circular Cylindrical Shells |
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315 | (1) |
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Thick Non-circular Cylindrical Shells |
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316 | (1) |
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Vibration of Non-circular Cylindrical Shells |
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317 | (1) |
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318 | (5) |
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323 | (24) |
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324 | (9) |
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324 | (1) |
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325 | (1) |
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325 | (6) |
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Energy Functionals for Conical Shells |
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331 | (2) |
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333 | (7) |
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334 | (1) |
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334 | (1) |
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334 | (6) |
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340 | (3) |
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343 | (4) |
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347 | (10) |
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348 | (2) |
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348 | (1) |
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348 | (1) |
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349 | (1) |
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350 | (1) |
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350 | (1) |
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350 | (1) |
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351 | (1) |
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351 | (2) |
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353 | (4) |
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357 | (6) |
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358 | (1) |
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Initial and Dynamic Loading |
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358 | (1) |
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358 | (1) |
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Rotating, Stiffened and Imperfect Shells |
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359 | (1) |
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359 | (1) |
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Damped and Viscoelastic Shells |
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360 | (1) |
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Shells Imbedded in (or Filled with) Elastic or Fluid Media |
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360 | (1) |
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360 | (1) |
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361 | (2) |
| Appendix A |
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363 | (4) |
| Appendix B |
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367 | (4) |
| Appendix C |
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371 | (4) |
| Appendix D |
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375 | (4) |
| References |
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379 | (26) |
| Subject Index |
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405 | |
Lisainfo e-raamatute kohta