Browne, Michael (2009-05). Superharmonic nonlinear lateral vibrations of a segmented driveline incorporating a tuned damper excited by non-constant velocity joints. Doctoral Dissertation. Thesis uri icon


  • Linear vibration measurement and analysis techniques have appeared to be

    sufficient with most vibration problems. This is partially due to the lack of proper

    identification of physical nonlinear dynamic responses. Therefore, as an example, a

    vehicle driveshaft exhibits a nonlinear super harmonic jump due to nonconstant velocity,

    NCV, joint excitation. Previously documented measurements or analytical predictions

    of vehicle driveshaft systems do not indicate nonlinear jump as a typical vibration mode.

    The nonlinear jump was both measured on a driveshaft test rig and simulated with a

    correlated model reproduced the jump. Subsequent development of the applied

    moments and simplified equations of motion provided the basis for nonlinear analysis.

    The nonlinear analyses included bifurcation, Poincare, Lyapunov Exponent, and

    identification of multiple solutions.

    Previous analytical models of driveshafts incorporating NCV joints are typically

    simple lumped parameter models. Complexity of models produce significant

    processing costs to completing significant analysis, and therefore large DOF systems incorporating significant flexibility are not analyzed. Therefore, a generalized method

    for creating simplified equations of motion while retaining integrity of the base system

    was developed. This method includes modal coupling, modal modification, and modal

    truncation techniques applied with nonlinear constraint conditions. Correlation of

    resonances and simulation results to operating results were accomplished.

    Previous NCV joint analyses address only the torsional degree of freedom.

    Limited background on lateral excitations and vibrations exist, and primarily focus on

    friction in the NCV joint or significant applied load. Therefore, the secondary moment

    was developed from the NCV joint excitation for application to the driveshaft system.

    This derivation provides detailed understanding of the vibration harmonic excitations

    due to NCV joints operating at misalignment angles.

    The model provides a basis for completing nonlinear analysis studying the

    system in more detail. Bifurcation analysis identified ranges of misalignment angles and

    speeds that produced nonlinear responses. Lyapunov Exponent analysis identified that

    these ranges were chaotic in nature. In addition, these analyses isolated the nonlinear

    response to the addition of the ITD nonlinear stiffness.

    In summary, the system and analysis show how an ITD installed to attenuate

    unwanted vibrations can cause other objectionable nonlinear response characteristics.

publication date

  • May 2009