The Study Of Transverse Vibration Of Chain Drive

The roller chain drives，which have the advantages of the high transmission efficiency,simple structure and high reliability, are widely used in agriculture, mining, lifting, metallurgy,transportation, petroleum, chemical, automotive, textile, printing and medical equipment forpower transmission. With the development of the roller chain toward the high-speed andhigh-precision direction in a variety of engineering applications, the chain of transversevibration research has become very important. More Precisely,Consider the chain as a multi-degrees-of-freedom system, the linear transverse vibrationdiscrete model has been established with Lagrange equation method, The effect of theparameters, such as the tension force, the mass of chain, the pitch of link on the modalcharacteristics of the transverse vibration of the constant moving chain has been discussed,and the stability of the transverse vibration of chain has been analyzed in different boundaryexcitation condition.Consider the chain as axially moving strings, the nonlinear transverse vibrationcontinuous model has been established with Elastic mechanics Method. Nonlinear factorssuch as geometry nonlinear of deformation has been analyzed, and the multiple scale methodis applied directly to the nonlinear partial differential governing equation of the system tomake the permanent polynomials of the equation should be canceled. The dynamic stability ofthe parametric vibration are also considered, and it indicated that the velocity of the chaininfluence the resonance stability regions, the analysis shows that the principal parametricresonance will occur when the frequency of velocity fluctuations is close to two times thenatural frequencies.