Page 4 - Vibrations 5
P. 4

     2
                                                     1 − (          )                      


                   () =                                                              
                                                      2   2                         2    

                                                                                  
                                    [ {1 − (       ) } + (2/ )                ]


        and



                                                      −2/                            


                   () =                               2                                
                                                       2                            2    

                                                                                  
                                    [ {1 − (       ) } + (2/ )                ]


        The total displacement lag behind the force vector is given

        by,





                                                               2/     

                                        = tan       −1   [                  2 ]

                                                             1 − (        )
                                                                        



        The steady state solution becomes,


                                                     1                             
                    =                                                                (−)
                                                                                   
                                                2  2
                           √   {1 − (          ) } + (2/ )               2
                                                                       


















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