Differential equations that describe the forced vibration system with one degree of freedom can be divided into :1) The free body diagram ,2 ) Method of equivalent systems .Excitation forces are non-conservative . Operation which cause non-conservative forces in the system can be calculated as follows :
The work that we carry out non-conservative external forces can be included in the analysis . Application of this method leads to the angular momentum of the system which describes the motion snaps degree of freedom . The
method of equivalent systems can also be used to obtain the
differential equations describing the motion of a single degree of
freedom .
The
solution of the previous differential equation consists of a
homogeneous part of the solutions that we get when the right-hand side
of the equation equal to zero and paratikularnog solutions . Homogeneous solution for the value of the damping ratio ζ < 1 reads as follows : = " read " p = " p " >
Forms of the particular solution depends on the Feq ( t ) . If ζ > 0 then the value of the homogeneous riješnja tends to zero as the time interval increases . The presence of a homogeneous solution in the main leads to the solution of the initial tranzijetnih gbianja that very short runs . Stationary response system after tranzijetnog motion significantly decreases . Only the particular solution contributes to the steady response of a linear system .
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