Page 2 - Vibrations 5
P. 2

Single degree of freedom systems




































        Mass m on frictionless wheels, connected by a spring of

        stiffness k to fixed wall also a damper of value c.



        The mass is subjected to a force F(t).


        The displacement of the mass is x which is a function of t.



        The equation of motion of the mass is given by,


                                          2
                                                   
                                             +           +  =        
                                        2          


        Where  is the excitation frequency.


        You will observe the damping is dependent upon the


        velocity of the mass.


        Express this equation as,



                               2
                                                                       
                                                            2
                                                                          2
                                     + 2           +   =  ( )                
                              2                                    
                                                            1
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