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Kitahara M. Ч Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates
Kitahara M. Ч Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics  and Thin Plates

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Ќазвание: Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates

јвтор: Kitahara M.

јннотаци€:

Tfhe digital communication industry is an enormous and rapidly growing industry, roughly comparable in size to the computer industry. The objective of this text is to study those aspects of digital communication systems that are unique to those systems. That is, ather than focusing on hardware and software for these systems, which is much like hardware and software for many other kinds of systems, we focus on the fundamental system aspects of modern digital communication.
Digital communication is a field in which theoretical ideas have had an unusually powerful impact on system design and practice. The basis of the theory was developed in 1948 by Claude Shannon, and is called information theory. For the first 25 years or so of its existence, information theory served as a rich source of academic research problems and as a tantalizing suggestion that communication systems could be made more efficient and more reliable by using these approaches. Other than small experiments and a few highly specialized military systems, the theory had little interaction with practice. By the mid 1970Тs, however, mainstream systems using information-theoretic ideas began to be widely implemented. The first reason for this was the increasing number of engineers who understood both information theory and communication system practice. The second reason was that the low cost and increasing processing power of digital hardware made it possible to implement the sophisticated algorithms suggested by information theory. The third reason was that the increasing complexity of communication systems required the architectural principles of information theory.


язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1985

 оличество страниц: 281

ƒобавлена в каталог: 17.11.2009

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Abramowitz, M.      217
Achenbach, J.D.      11 27
Adjoint, equation      50
Adjoint, formal      25
Adjoint, operator      24 36
Adjoint, pair      36
Adjoint, self      18 41
Aguirre Ч Ramirez, G.      1 4 113 131
Aleksidze, M.A.      37
Altiero, N.J.      29 37 218 230 231
Anderssen, R.S.      4
Angular frequency      12 21 104 146 207
Annulus      89Ч96
Antiplane problem      14 56 135
Arbrecht, J.      4
Arc element      119 243 246
Baker, t.h.      4
Banaugh, R.P.      1 4 29 37
Banerjee, P.K.      4 5 6 7 37 55 103 111 112 132 194 217 230 271
Bell, W.A.      55
Bending moment      214Ч215 218Ч220
Bergman, S.      215 217
Bessel function      19 71Ч72 97Ч99 225-226
Bezine, G.P.      218 222 230
BIE method      1Ч4 29 104 196Ч197 207 232
Biharmonic equation      213 218
Boundary element      104Ч105 107Ч108
Boundary integral equation for determining eigenvalues      46Ч48 222
Boundary integral equation for plate problems      218Ч222
Boundary integral equation for the first, second, third problem      30Ч32
Boundary integral equation of the first and second kind      30Ч31
Boundary integral equation, analytical treatment of      56
Boundary integral equation, formal relation of      33
Boundary integral equation, homogeneous      46Ч48 104 114 222
Boundary integral equation, mutual relation of      40 49 56 66Ч67 88Ч89
Boundary integral equation, non-homogeneous      104
Boundary integral equation, numerical treatment of      106Ч108
Boundary integral equation, relation to interior eigenvalues      49 50
Boundary integral equation, supplementary condition of      52
Boundary integral equation, uniqueness of solution      49Ч53
Boundary value problem for elastodynamics      15Ч16
Boundary value problem for plates      209Ч210
Brcbbia, C.A.      1 5 6 37 103 131 195 201 230 231
Brundrit, G.B.      52 54
Bryan, G.H.      270
BucWing, load      232 240 253
BucWing, peoblem      207 209 212 253
Burton, A.J.      5 53 54
Butterfield, R.      4 7 37 55 103 112 230
Caasot, F.      1 5 56 103 113 131
Cartesian coordinate      56 70 107
Chen, L.H.      29 37
Chertock, G.      5 54
Chicurel, R.      220 230
Chopra, A.K.      191 194
Clements, D.L.      5
Clough, R.W.      191 194
Cofactor matrix      18
Collatz, L.      4
Complex, base vector      59 68
Complex, coordinate      69
Concentric mode      243
Conjugate, complex      24 27 59
Conjugate, operator      36
Constitutive equation      11
Contour integration      19
Copely, L.G.      52 54
Corner effect      222
Coulson, C.A.      27
Courant, R.      131
Cox, H.L.      270
Crouch, S.L.      5
Crout method      105
Cruse, T.A.      1 5 17 21 27 29 37 111
Curl      12
De Mey, G      1 5 67 103 113 131
Delves, L.M.      5 54
density      23Ч24 68 104Ч105
Determinant      18 71 74 77
Determinant, complex      105Ч106 114
Diffracted wave      144
Dirac measure      18
Direct method      29
Direct search method      223
Dirichlet problem      53 113
Disc      72 75 77 79
Displacement vector      11
Divergence      11
Dominant, mode      146 196 201
Dominant, value      201
Double layer potential      24Ч25 30Ч31 214
Double layer potential, integration of      58Ч60 75Ч77
Double layer potential, jump condition of      61 80
Double layer potential, meaning of density      25
Double layer potential, property of      24
Double layer potential, structure of      100
Double layer potential, tractions by      77Ч79
Doyle, J.M.      16 17 27
Dubois, M.      21
Duncan Ч Fama, M.E.      217
Dundurs, J.      213 217
Earthquake-resistant design      201
Eigendensity      40 105 127
Eigendensity, accuracy of      124Ч126 249
Eigenequation      56 63 66Ч67 79
Eigenequation for a disc      72 75 84Ч89 101
Eigenequation for an annulus      89Ч96 101Ч102
Eigenfrequency      72
Eigenfrequency, accuracy of      232
Eigenfunction      41Ч46 105
Eigenmode      105
Eigenmode, accuracy of      124Ч126 249
Eigenmode, fictitious      91Ч92 185
Eigenmode, interference of interior eigenmode      52
Eigenparameter      39 106 115 146 222
Eigenvalue      64Ч65 72 75 85 87
Eigenvalue of boundary integral equation      40 46 104Ч106
Eigenvalue of original boundary value problem      40 46
Eigenvalue problem      16Ч17 104 146 232
Eigenvalue, accuracy of      113Ч119
Eigenvalue, equivalence of      40 42 46
Eigenvalue, fictitious (irregular)      67 91Ч92 94 97 185
Eigenvalue, for a circular disc      147Ч184
Eiseustein, Z.      6
Elastodynamics      11
Elastodynamics, antiplane      56Ч57 113
Elastodynamics, plane      67 89
Elastodynamics, steady-state      11Ч12 15 21 29
Elastodynamics, transient      53
Equations of motion of elastodynamics      11
Equations of motion of thin plates      207Ч208
Equivalent regularization      39
Equivalent shear, force      214Ч215 218Ч220
Equivalent shear, operator      210
Eringen, A.C.      11 16 27
Extremet, G.P.      1 5 56 103 113 131
Feshbach, H.      131
Field point      223
Filippi, P.      7 53 54 56 103 231 232 271
Flexural rigidity      207
Fourier coefficient      63 64Ч67
Fourier coefficient, matrix      85Ч89
Fourier coefficient, tensor      82Ч83
Fourier series      57 59 68 75 82Ч83
Fourier trnsform      57 59 67Ч68 72 75 77 82Ч83 211
Fourier trnsform, inverse      58 60 69 73 76
Fourier trnsform, method      19Ч20
Fourier trnsform, pair      19 56
Fredholm theorem      39 41 50
free term      25Ч27 215Ч216
Frequency equation      234
Friedman, M.B.      1 5 7 29 37 38
Functional equation      52 218
Fundamental solution      17Ч22 57 67 224Ч225
Fundamental solution for antiplane problem      22
Fundamental solution for elastodynamics      21Ч22
Fundamental solution for elastostatics      21Ч22
Fundamental solution for Helmholtz equation      21
Fundamental solution for Laplace equation      22
Fundamental solution for plate problems      211Ч213
Fundamental solution, modified      53
Gamby, D.A.      218 222 230
Gaussian quadrature formula      104 108 114 146 226 229
Gavazza, S.D.      29 37
Goldsmith, W      1 4 29 37
Gradient operator      13
GrafТs addition theorem      63
Green, A.E.      217
Greenspan, D.      53 54
GreenТs formula      25Ч27 30Ч32 50Ч52 266
GreenТs formula for plates      215Ч216
GreenТs formula in a closed form      62Ч63 81Ч84
GreenТs formula, displacement formula      25Ч26 30Ч32 44Ч45 51 92 146
GreenТs formula, traction formula      26Ч27 30Ч32
GreenТs function      56 63Ч67 218
GreenТs function in an inhomogeneous protrusion      136Ч138
GreenТs function of the first kind      64
GreenТs function of the second kind      65
GreenТs identity      25 215
GreenТs tensor (matrix)      67 84Ч89
GreenТs tensor (matrix) of the first kind      86
GreenТs tensor (matrix) of the second kind      87
Gregoire, J.P.      1 5 131
Gunter, N.M.      27
Gurtin, M.E.      17 28
Hankel function      19 21 71 110Ч111 211
Hansen, E.B.      217 218 222 230
HansenТs formula      98
Haronic function      11 22 214 218
Heise, U.      29 37
Helmholtz equation      13Ч14 52 56 113
Hess, J.L.      1 5 29 37
Hilbert, D.      131
Hill, R.      6 37
Hirose, S.      145
Holder continuity      22Ч23
Holster, G.S.      6 37
Hormander, L.      17 28
HormanderТs method      17
Hutchinson, J.R.      1 2 5 7 67 103 113 131 218 231
Identity, operator      36
Identity, pair      36
Iguchi, S.      240 242 270
In-plane, force      207Ч208 212 222 232
In-plane, problem      56
Incident wave      134 197
Indirect method      29
Influence coefficient      223Ч225
Inhomogeneous protrusion      133Ч137
Intrinsic coordinate      107
Jacobian      108
Jahanshahi, A.      213 217
Jaswon, M.A.      1 6 22 28 29 37 218 230
Jeffrey, A.      27
Jones, D.S.      53 55 196 201
Kellogg, O.D.      27 214 217
KelvinТs solution      17
Kim, J.W.      230
Kinematic equation      11
Kinoshita, N.      39 55
Kitahara, M.      6 55 103 111 131 132 145 194 195 201 217 230 270 271
Klein, B      270
Kleinman, R.E.      6 55
Kobayashi, S.      6 55 56 103 111 131 132 194 195 201 217 230 270 271
Kupradze, V.D.      1 6 11 16 17 22 28 29 37 39 40 52 55 103 218 230
Kussmaul, R.      53 55
Lachat, J.C.      27 111
Lamb, H.      55
Lame constant      12
Lamellar vector      13
Laplace equation      22 136
Laplacian      12 207
Lateral displacement      214Ч215 218Ч220
Least squares method      53 105 124 249
Legendre polynomial      229
Leissa, A.W.      232 233 243 246 252 270
Liggett, J.A.      6
Liu, P.L Ч F.      6
LommelТs formula      80
Love, A.E.H.      6 17 28
Lyapunov surface      22Ч23
Maiti, M.      230
Massonnet, C.E.      1 6 29 37
Mattioli, F      133 145
Mente, L.J.      197 198 201
Meyer, W.L.      55
Mikhiin, S.G.      39 55
Miklowitz, J.      11 28
Miller, G.F.      53 54
Mixed potential metod      53
Miyagishi, K.      217
Moment operator      210
Morse, P.M.      131
Mow, C.C.      197 198 201
Mukherjee, S.      6
Multiply connected domain      233
Mura, T.      39 55
Nadai, A.      240 241 270
Nakamura, M.      217
Nardini, D.      1 6
Navier Ч Cauchy equation      12Ч13
Nedelec, J.C.      5 131
Neumann problem      52 113
Nishimura, N.      55 56 67 103
Niwa, Y.      1 6 103 111 113 131 132 145 146 194 195 201 217 230 232 270 271
Nodal, circle      115 124Ч125 240 243 249
Nodal, diameter      115 120 124 240 243
Nodal, line      115 127 240
Non-trivial solution      40Ч46 50 104Ч105 223
Operator-valued function      40
Ortner, V.N.      22 28
Over-determined system      53
Plancharcl, J      5 131
Plane strain      18 67 146
Plate potential      207 213Ч215
Plate potential, discontinuous property of      214
Plate potential, physical meaning of density      215
Plate vibration      207Ч208 212 222 232
PoissonТs ratio      69 75 146Ч147 210
Polar coordinate      19 56 68 70
Ponter, A.R.      6 29 37
Potential theory      11 22 80 214
Potential, body force      215
Potential, elastic      11 22Ч24
Potential, Lame      14
Potential, layer      29Ч31 63 84 213 219 266
Potential, scalar      13
Potential, vector      13Ч14
Principal value      39
Radiation condition      16 19 21 40 43 45 67 98 135 210Ч211
Radiation problem      29 52
Rayleigh, J.W.S.      132 271
Reciprocal theorem      25
Reflected wave      134Ч135
Reflection method      220
Regularity condition      16
Residue theorem      20
Resonance, amplitude      139 144
Resonance, curve      139 201
Resonance, mode      139 196 201
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