Study on TVD parameters sensitivity of a crankshaft using multiple scale and state space method considering quadratic and cubic non-linearities

Abstract

In this paper the effect of quadratic and cubic non-linearities of the system consisting of the crankshaft and torsional vibration damper (TVD) is taken into account. TVD consists of non-linear elastomer material used for controlling the torsional vibration of crankshaft. The method of multiple scales is used to solve the governing equations of the system. Meanwhile, the frequency response of the system for both harmonic and sub-harmonic resonances is extracted. In addition, the effects of detuning parameters and other dimensionless parameters for a case of harmonic resonance are investigated. Moreover, the external forces including both inertia and gas forces are simultaneously applied into the model. Finally, in order to study the effectiveness of the parameters, the dimensionless governing equations of the system are solved, considering the state space method. Then, the effects of the torsional damper as well as all corresponding parameters of the system are discussed.

Bifurcation and stability of resonance of electric vehicle powertrain: Focus on the influence of electromagnetic parameters

“…Substituting equation (18) into equation ( 19) and keeping the linear part only, equation ( 20) can be obtained…”

“…The dynamic characteristics of the powertrain are usually explored based on the two-mass model, where the resonance of the powertrain is an important characteristic that need to be considered during analyzation. Just like the nonlinearity caused by the material or geometry, 17,18 the nonlinearity that introduced by the motor can also cause the shifting of the peak of resonance, where the nonlinear dynamics such as ''Jumping phenomenon'' or the increase or decrease of the peak of resonance 11,19 usually happens. Even though there are few reports on the influence of this kind of nonlinear terms in powertrain, it is widely reported in vehicle suspension system.…”

Torsional dynamics and stability of automotive driveline considering cubic nonlinearity

“…In fact, the nonlinear factors such as material nonlinearity and geometric nonlinearity invariably exist. [13][14][15][16] There are still few reports on the influence of these nonlinearities on the driveline. One possible reason may be that the traditional shaft contains weak nonlinearity, and the nonlinear part is ignored by linear fitting.…”