Page 43 - Rekayasa Pantai
P. 43

T  1  sin  2 .  t   sin 2 t 
                                                   =   −   +         dt
                                               O  2     k 2       k 2  

                                               LT
                                                   =                                                                      (3.20)
                                                2


                           sin 2 (kx − t ) dtdx. =  1   ( 1− cos  ( 2  kx −  t  ) dtdx.
                                               2


                                          1  T    sin 2 (kx −  ) t   L
                                        =     x −              dt
                                          2  O         k 2     O


                                          LT
                                        =                                                                                  (3.21)
                                           2

                                           LT
                               1   a  2 w 2  h   sinh 2 kh 
                          E  =                          
                           k
                               2  sinh 2  kh 2  2     h k  

                                             2    2 sinh khcosh kh
                                 =   a  2 LT
                                   8       sinh 2  kh      k

                                   fg           2
                                 =    a 2 LT
                                   8        gk tanh kh


                                      
                                   =    H  2 LT                                                                             (3.22)
                                     16


                  Kerapatan Energi :

                                1             H  2
                         E   =       H  2 LT =                                                                         (3.23)
                                             
                           k
                               LT   16         16

                  Energi Potensial :

                               L T  1
                         E p  =     2 dx. dt
                               O O  2



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