Stability of a segmented supercritical driveline with non-constant velocity couplings subjected to misalignment and torque

DeSmidt, Hans; Wang, K.W.; Smith, Edward C.

doi:10.1016/j.jsv.2003.09.033

Cited by 23 publications

(14 citation statements)

References 11 publications

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“…Multiple methods applied to NCV joint analysis isolated these stability/instability regions. These methods include typical eigenvalue analysis for linearized equations and then followed by typical rotordynamic analysis as summarized by Khader [36] of utilizing of Floquet theory and techniques [6,7,9,18,19,36] and the Mathieu equation [7,26].…”

Section: Analytical Analysis Methodsmentioning

confidence: 99%

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Super harmonic nonlinear lateral vibrations of a segmented driveline incorporating a tuned damper excited by non-constant velocity joints

Browne¹,

Palazzolo²

2009

Journal of Sound and Vibration

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Chair of Advisory Committee: Dr. Alan Palazzolo 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 iv 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. v DEDICATION For my Family vi ACKNOWLEDGEMENTS

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Section: Analytical Analysis Methodsmentioning

confidence: 99%

“…Desmidt continued with more complexity by introducing a segmented driveline for analysis [18]. The driveline incorporated three NCV joints, and analyzed the torsional response.…”

Section: Two Shafts Three Joint Systemsmentioning

confidence: 99%

Super harmonic nonlinear lateral vibrations of a segmented driveline incorporating a tuned damper excited by non-constant velocity joints

Browne¹,

Palazzolo²

2009

Journal of Sound and Vibration

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“…An intended misalignment ( ) using the parallel offset type will be used. DeSmidt et al [9] concluded that misalignment tends to stabilize internal damping-induced whirl, however, it causes instability of speeds within the revolution. The instability of speeds, as concluded by DeSmidt, agrees well with the current intended modification because it produces range of speeds for each revolution.…”

Section: The Goal Of the Researchmentioning

confidence: 99%

“…Many software packages are available for linkage animation and analysis. To validate the present design, its solid model was established by Autodesk inventor software, as shown in figure (9) above. Then the model is introduced into Dynamic Simulation Environment included in the Autodesk Inventor.…”

Section: Cad Modeling and Simulationmentioning

confidence: 99%

Theoretical Study and Computer Simulation of aModified Quick Return Mechanism(English)

Al-Sabawi¹

2012

(AREJ)

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Quick return mechanism, (QRM), is considered one of the important mechanisms. It is always desired to increase machine productivity and/or to decrease time losses. Shapers, for instance, have a considerable importance in production engineering, they have gearboxes for speed variation purposes required for cutting, and most of them employ QRM. This study aimed to introduce coupling with a predetermined misalignment engaged to QRM in order to obtain an enhanced QRM that has different time ratios and speed ratios. This modification then applied to shaper for making precise speed adjustment of the cutting and return speeds of the ram beside the gearbox. Consequently, the resulted high time ratios () enhanced the productivity of the shapers for the same ram stroke. The lower return time the higher the productivity. Furthermore, the "quick" effect of the QRM retained even with shorter strokes by the present modification. The research tools included mechanism modeling and simulation using Autodesk Inventor Professional Software. In addition, it includes theoretical velocity analysis for the resulting combination. Both simulation and theoretical analyses agreed well.

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“…The supporting stiffness matrices of pinion and gear are extracted from a finite element model of the supporting shaft-bearing assembly in which the bearings are modeled as 5 × 5 stiffness matrices similar to an earlier paper of ours (Yang and Lim, 2011). Mazzei et al (1999) and DeSmidt et al (2002DeSmidt et al ( , 2004 considered the universal joint as a nonlinear component, and studied the dynamics of rotating shaft systems without the presence of any bearing or gear driven through the universal joint. In those studies, the input torque or rotating speed of the driving shaft is assumed to be constant, and it is observed that the driven shaft experienced rotational speed, bending moments and torque fluctuations.…”

Section: Introductionmentioning

confidence: 99%

Influence of propeller shaft bending vibration on drivetrain gear dynamics

Yang

Lim

2015

Int.J Automot. Technol.

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A new multi-coordinate dynamic model of a hypoid geared rotor system considering the propeller shaft bending effect is formulated. The bending flexibility of propeller shaft is modeled as a lumped parameter set applying the component mode synthesis. The pinion and gear are modeled as flexibly coupled rigid bodies with backlash nonlinearity and time-varying mesh coupling. The kinematic transmission error is assumed to be the main excitation. The solution is obtained by employing the explicit Runge-Kutta integration method with adaptive time step, which yields the dynamic mesh force and also the vibratory response of the gear bodies in time domain. The frequency response functions are then determined by computing the root-mean-square of the time domain solutions at each frequency point. The analyses show that the effect of propeller shaft bending flexibility and damping on the geared rotor system dynamics are found to be mode shape dependent. It is further observed that increasing the damping of propeller shaft can effectively reduce the dynamic mesh force. This indicates that the damping treatment on propeller shaft can be a potential application to reduce the gearbox vibration and noise response.

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Stability of a segmented supercritical driveline with non-constant velocity couplings subjected to misalignment and torque

Cited by 23 publications

References 11 publications

Super harmonic nonlinear lateral vibrations of a segmented driveline incorporating a tuned damper excited by non-constant velocity joints

Super harmonic nonlinear lateral vibrations of a segmented driveline incorporating a tuned damper excited by non-constant velocity joints

Theoretical Study and Computer Simulation of aModified Quick Return Mechanism(English)

Influence of propeller shaft bending vibration on drivetrain gear dynamics

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