The main purpose of this thesis is to analyze the forced damped single degree of freedomrnvibration of Chery100hp tractor transfercase. The tractor which assembled at AAMI.Anrnappropriate mathematical modeling, field measurement,response on harmonic excitation of therntransfer case by means of ANSYS 17.2 were performed to identify the critical frequency, tornknow whether the natural frequency calculated through mathematical analysis fall on the rangernof critical frequency or not and to identify the high vibration speed zone on the particular tractor.rnThe general solution found in mathematical modeling imported to MATLAB to generate results.rnThe recorded value calculated by Random velocity calculation method and compared with ISOrnGeneral Standard (10816-1:1995).3D modeling of transfer case made by using CATIA V5 andrnimported to ANSYS 17.2 for modal analysis. rnAccording to the analysis the SAE 140 has significance effect on 100hp but negligence effect onrn95 hp. The comparison calculated natural frequency value of the current transfer case withrncritical frequency analyzed harmonic excitation indicates that the natural frequency found tornbe 5063.05 rad/sec or 805.8Hzwhile the critical frequency fall on the range between (825-875)rnHz. This natural frequency is in the same range (500-3500) Hz as experimental analysis obtainedrnby Jiri Tuma (2009).The measured vibration velocity value of eight speed zone condition wasrncalculated and comparedwith ISO as a result bad vibration zone was identified.