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Abstract In this thesis problems in non-liner mechanics are solved :The First Problem; The .eponse of C! self-excited system~h,aving two-de9rees of freedom, to mUlti-1I:requency. The Second ProbJem. the response of a self-excited system, h4vin the degrees of freedom, in which the first two systems are SUbjected to mUl’ti-freguency excitation, and the third system received the excitation through the coupling aim of the stUdy is tosUbharmcnic, superharmonic, simultaneousinvestigate harmonic,Sub/super-harmonic andcombination resonances.The theoretioal results are obtained by the mUltiple lOcalesmethod. The ste,ady state amplitudes are obtained and plotted •.Showing the influence of the ’different parameters. Analysis foreach figur’e is given. Appro:Xite solution corresponding to eech type of resonanCe is determined. |