Page 308 - Excel for Scientists and Engineers: Numerical Methods
P. 308

CHAPTER 12         PARTIAL DIFFERENTIAL EOUATIONS                    285



                   If you examine the values in the table, you will see that 20 time increments
               constitute a complete cycle of vibration.  This vibration time, 0.001758 seconds,
               corresponds  to  a  frequency  of  569  sd,  and  agrees  exactly  with  the  value
               calculated by the formula
                                            f =zd5J                              ( 12-3 7)
                                                 1

                   The  above  procedure  can  be  expanded  to  model  vibrations  in  two  space
                dimensions.

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