Page 128 - 《应用声学》2023年第4期
P. 128

790                                                                                  2023 年 7 月


                                      ′
                                                                                      ′
                d 48 = − 2n(n + 1)[x T 23 j (x T 23 ) − j n (x T 23 )],  d 89 = 2n(n + 1)[x T 33 y (x T 33 ) − y n (x T 33 )],
                                      n                                               n
                d 49 = − 2n(n + 1)[x T 23 y (x T 23 ) − y n (x T 23 )],  d 810 = − {[2n(1 + n) − x 2  ]j
                                       ′
                                                                                        T 34 n (x L34 )
                                      n
                                                                                ′
                          ′
                d 52 = x L22 j (x L22 ),                                − 4x L34 j (x L34 )},
                                                                                n
                          n
                d 53 = x L22 y (x L22 ),                         d 811 = − {[2n(1 + n) − x 2  ]y n (x L34 )
                           ′
                                                                                        T 34
                          n
                                                                                 ′
                d 54 = n(n + 1)j n (x T 22 ),                           − 4x L34 y (x L34 )},
                                                                                 n
                                                                                         ′
                d 55 = n(n + 1)j n (x T 22 ),                    d 812 = − 2n(n + 1)[x T 34 j (x T 34 ) − j n (x T 34 )],
                                                                                         n
                d 56 = − x L23 j (x L23 ),                       d 813 = − 2n(n + 1)[x T 34 y (x T 34 ) − y n (x T 34 )],
                                                                                         ′
                             ′
                                                                                         n
                             n
                                                                             ′
                d 57 = − x L23 y (x L23 ),                        d 96 = x L33 j (x L33 ),
                             ′
                             n                                               n
                                                                             ′
                d 58 = − n(n+1)j n (x T 23 ),                     d 97 = x L33 y (x L33 ),
                                                                             n
                d 59 = − n(n + 1)j n (x T 23 ),                   d 98 = n(n + 1)j n (x T 33 ),
                d 62 = j n (x L22 ),                              d 99 = n(n + 1)j n (x T 33 ),
                                                                               ′
                d 63 = y n (x L22 ),                             d 910 = − x L34 j (x L34 ),
                                                                               n
                                                                                ′
                                    ′
                d 64 = j n (x T 22 ) + x T 22 j (x T 22 ),       d 911 = − x L34 y (x L34 ),
                                                                               n
                                    n
                d 65 = y n (x T 22 ) + x T 2 y (x T 22 ),        d 912 = − n(n + 1)j n (x T 34 ),
                                    ′
                                    n
                d 66 = − j n (x L23 ),                           d 913 = − n(n + 1)j n (x T 34 ),
                d 67 = − y n (x L23 ),                           d 106 = j n (x L33 ),
                d 68 = − {j n (x T 23 ) + x T 23 j (x T 23 ),    d 107 = y n (x L33 ),
                                        ′
                                        n
                                                                                       ′
                d 69 = − {y n (x T 23 ) + x T 23 y (x T 23 )},   d 108 = j n (x T 33 ) + x T 33 j (x T 33 ),
                                         ′
                                         n                                             n
                                      ′
                                                                                        ′
                d 72 = 2[j n (x L22 ) − x L22 j (x L22 )],       d 109 = y n (x T 33 ) + x T 33 y (x T 33 ),
                                      n
                                                                                       n
                d 73 = 2[y n (x L22 ) − x L22 y (x L22 )],      d 1010 = − j n (x L34 ),
                                       ′
                                       n
                           ′
                d 74 = 2x T 22 j (x T 22 )                      d 1011 = − y n (x L34 ),
                           n
                                                                                          ′
                      + [x 2 T 22  − 2n(n + 1) + 2]j n (x T 22 ),  d 1012 = − {j n (x T 34 ) + x T 34 j (x T 34 ),
                                                                                          n
                d 75 = 2x T 22 y (x T 22 )                      d 1013 = − {y n (x T 34 ) + x T 34 y (x T 34 )},
                            ′
                                                                                           ′
                                                                                           n
                            n
                                                                                        ′
                      + [x 2  − 2n(n + 1) + 2]y n (x T 22 ),     d 116 = 2[j n (x L33 ) − x L33 j (x L33 )],
                          T 22                                                          n
                                                                                         ′
                                        ′
                d 76 = − 2[j n (x L23 ) − x L23 j (x L23 )],     d 117 = 2[y n (x L33 ) − x L33 y (x L33 )],
                                        n                                                n
                                                                              ′
                d 77 = − 2[y n (x L23 ) − x L23 y (x L23 )],     d 118 = 2x T 33 j (x T 33 )
                                         ′
                                                                              n
                                         n
                d 78 = − {2x T 23 j (x T 23 )                           + [x 2  − 2n(n + 1) + 2]j n (x T 33 ),
                               ′
                               n                                            T 33
                      + [x 2  − 2n(n + 1) + 2]j n (x T 23 )},    d 119 = 2x T 33 y (x T 33 )
                                                                              ′
                          T 23                                                n
                               ′
                d 79 = − {2x T 23 y (x T 23 )                           + [x 2  − 2n(n + 1) + 2]y n (x T 33 ),
                               n
                                                                            T 33
                                                                                           ′
                      + [x 2 T 23  − 2n(n + 1) + 2]y n (x T 23 )},  d 1110 = − 2[j n (x L34 ) − x L34 j (x L34 )],
                                                                                           n
                                     ]j
                d 86 = [2n(1 + n) − x 2 T 33 n (x L33 )         d 1111 = − 2[y n (x L34 ) − x L34 y (x L34 )],
                                                                                            ′
                                                                                            n
                              ′
                                                                                 ′
                      − 4x L33 j (x L33 ),                      d 1112 = − {2x T 34 j (x T 34 )
                              n
                                                                                 n
                d 87 = [2n(1 + n) − x 2 T 33 ]y n (x L33 )              + [x 2  − 2n(n + 1) + 2]j n (x T 34 )},
                                                                            T 34
                                                                                  ′
                      − 4x L33 y (x L33 ),                      d 1113 = − {2x T 34 y (x T 34 )
                              ′
                              n                                                   n
                                   ′
                d 88 = 2n(n + 1)[x T 33 j (x T 33 ) − j n (x T 33 )],   + [x 2  − 2n(n + 1) + 2]y n (x T 34 )},
                                   n
                                                                            T 34
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