Dynamics of an automotive transmission consisting of a tripod joint and a ball joint. A symbolic approach

2002 ◽  
Vol 216 (3) ◽  
pp. 203-211 ◽  
Author(s):  
J-P Mariot ◽  
J-Y K'nevez
Keyword(s):  
Constant Velocity ◽  
Joint Angle ◽  
Driving Forces ◽  
Infinite Length ◽  
Ball Joint ◽  
Constant Input ◽  
Shaft Length ◽  
Intermediate Shaft ◽  
Automotive Transmission ◽  
Output Torque

The present paper deals with the zero friction dynamics of an automotive transmission consisting of an inboard ball joint close to the wheel and an outboard tripod joint close to the gearbox, connected by an intermediate shaft. The ball joint is a constant-velocity joint (CVJ) whereas the tripod joint is not. In the idealized case of an intermediate shaft of infinite length, the tripod joint behaves like a CVJ and has the following properties: the input and output torque are equal, the transverse forces generating the output torque are equal and there are no shudder vibrations or inertial shaft effects. For a real transmission with a finite-length shaft, deviations from constant-velocity (CV) properties are due to tripod joint angle variation which causes static and dynamic perturbations; these perturbations are expressed symbolically using first-order approximations in terms of tripod joint angle and ratio of shaft length to tulip radius. For most of the front drive cars equipped, the angle of the tripod joint remains close to 0.1 rad; considering a constant input torque at a 100rad/s input velocity, the perturbations are found to be less than 3 per cent for the driving forces when compared with the CVJ.

The Behavior of Long Beams Under Impact Loading

1950 ◽  
Vol 17 (1) ◽  
pp. 27-34
Author(s):  
P. E. Duwez ◽  
D. S. Clark ◽  
H. F. Bohnenblust
Keyword(s):  
Plastic Deformation ◽  
Cross Sections ◽  
Constant Velocity ◽  
Bending Moment ◽  
Infinite Length ◽  
Longitudinal Impact ◽  
Deflection Curve ◽  
Transverse Impact ◽  
Cold Rolled ◽  
Annealed Copper

Abstract This paper presents the results of a theoretical and experimental investigation of the plastic deformation of long beams which are subjected to a concentrated transverse impact of constant velocity. In the theoretical analysis, the beam is supposed to be of infinite length, and plane cross sections are assumed to remain plane. The bending moment is assumed to depend on the curvature according to a function that is obtained from the stress-strain curve of the material. The theory neglects both the lateral displacement of the cross sections against each other due to the shearing force and the rotary kinetic energy of the motion of the beam. The theory shows that a strain is not propagated along a beam at constant velocity, as in the case of longitudinal impact. The strain depends on the ratio between the square of the distance from the point of impact and the time. This is correct regardless of the shape of the moment - curvature curve. If certain approximations are applied to the bending moment - curvature curve, the theory provides a method of computing the deflection curve of a beam at any instant during impact. An experimental study has been made in which the deflection curves of long simply supported beams have been obtained during impact. The deflection characteristics of a cold-rolled steel and an annealed-copper beam have been computed by approximating the bending moment - curvature curves. It is shown that for materials such as cold-rolled low-carbon steel, for which plastic deflection is localized at the point of impact, the observed deflection curve is closely approximated by computing a curve based on the assumption that the beam remains elastic. For a soft material like annealed copper, plastic deformation extends over a relatively large distance from the point of impact and, taking plastic deformation into account, a satisfactory agreement is obtained between theory and experimental results.

Marine Riser Monitoring With The Acoustic Ball Joint Angle-Azimuth Indicator

1971 ◽  
Author(s):  
Mark A. Childers ◽  
Gale A. Hazlewood ◽  
W.T. Lifrey
Keyword(s):  
Joint Angle ◽  
Ball Joint ◽  
Marine Riser

A Parameter Investigation Into the Thompson Constant-Velocity Coupling

2011 ◽  
Vol 133 (12) ◽  
Author(s):  
I. T. Watson ◽  
B. Gangadhara Prusty ◽  
J. Olsen ◽  
D. Farrell
Keyword(s):  
Design Optimization ◽  
Closed Form ◽  
Dynamic Model ◽  
Conceptual Design ◽  
Constant Velocity ◽  
Spherical Geometry ◽  
Technical Note ◽  
Intermediate Shaft ◽  
Torque Transmission ◽  
Dynamic Forces

The Thompson coupling is a relatively recent design of constant-velocity coupling, that is, principally based on the double Cardan mechanism. An extra mechanism comprising a spherical pantograph serves to align the intermediate shaft of this coupling and so maintains the constant velocity of the double Cardan mechanism, in a modular fashion. This technical note serves to introduce basic closed form expressions for the coupling’s geometry—which may then be used to derive linkage accelerations and dynamic forces. The expressions are derived using standard identities in spherical geometry. The resulting dynamic model then informs a basic conceptual design optimization, which object is intended to reduce induced driveline vibrations, when the coupling is articulated at nonzero angles of torque transmission.

Study on the Abrasive Wear in a Ball Type Joint of Automotive Drive Shaft

2013 ◽  
Vol 401-403 ◽  
pp. 291-294
Author(s):  
Jun Liu ◽  
Yuan Xin Luo
Keyword(s):  
Abrasive Wear ◽  
Theoretical Investigation ◽  
Constant Velocity ◽  
Experimental Approach ◽  
Drive Shaft ◽  
Output Shaft ◽  
Ball Joint

Ball type joint is one of key component of automotive drive shaft, which is used in a front drive transmission vehicle for transmitting rotary movement from the gearbox output shaft to the wheels with a constant velocity. It has been found that the ball type joint is usually failure caused by abrasive wear. This paper is dedicated to analyze the abrasive wear by theoretical investigation on the relatively slipping velocity of each component of the ball joint, as well as the experimental approach. The results show that the grading of abrasive wear of the components is largely depended on the relatively slipping velocity.

scholarly journals Instability of Cylindrical Shells Subjected to Axisymmetric Moving Loads

1966 ◽  
Vol 33 (2) ◽  
pp. 289-296 ◽  
Author(s):  
G. A. Hegemier
Keyword(s):  
Cylindrical Shell ◽  
Constant Velocity ◽  
Broad Class ◽  
Infinite Length ◽  
Functional Difference ◽  
Moving Loads ◽  
Loading Function ◽  
Double Laplace Transform ◽  
Special Cases ◽  
The Stability

Using a Donnell-type nonlinear theory and the stability in the small concept of Poincare´, the instability of an infinite-length cylindrical shell subjected to a broad class of axisymmetric loads moving with constant velocity is studied. Special cases of the general loading function include the moving-ring, step, and decayed-step loads. The analysis is carried out with a double Laplace transform, functional-difference technique. Numerical results are presented for the case of the moving-ring load.

Research on the Reliability and Optimum Design of Automotive Transmission

2013 ◽  
Vol 655-657 ◽  
pp. 382-385
Author(s):  
Na Wang ◽  
Ming Fei Chen ◽  
Lian Yong Zhang ◽  
Ke Ming Liu
Keyword(s):  
Optimum Design ◽  
Mechanical Analysis ◽  
Drive Shaft ◽  
Element Analysis ◽  
Reliability Design ◽  
Intermediate Shaft ◽  
Automotive Transmission ◽  
Transmission Shaft ◽  
The Stability ◽  
Main Component

Automotive transmission shaft is the main component of vehicle power; it directly affects the force conditions and the life of the stability of auto transmission. Therefore, mechanical analysis and optimum design of car's drive shaft is very important. Finite element analysis and reliability design of auto transmission are performed by Pro/MECHANICA software in the paper and the intermediate shaft on the vehicle drive shaft is analyzed and optimized.

Kinematic and Static Analyses of Tripod Constant Velocity Joints of the Spherical End Spider Type

2005 ◽  
Vol 127 (6) ◽  
pp. 1137-1144 ◽  
Author(s):  
Katsumi Watanabe ◽  
Tsutomu Kawakatsu ◽  
Shouichi Nakao
Keyword(s):  
Constant Velocity ◽  
Closed Loop ◽  
Joint Angle ◽  
Normal Force ◽  
Thrust Force ◽  
Numerical Procedure ◽  
Spatial Mechanism ◽  
Input And Output ◽  
Motion Characteristics ◽  
Constant Velocity Joints

The closed-loop equations of three cylindrical rollers, the spider of three spherical ends, and the housing of the tripod constant velocity joints are deduced as the spatial mechanism. They are solved for prescribed positions of its input, and output shafts and relative motion characteristics of components are made clear. Moreover, a procedure is established for solving, simultaneously, the set of conditional equations with respect to forces and moments acting on three cylindrical rollers, the spider, and the housing, for any values of friction coefficients between cylindrical rollers and its grooves and spherical ends. The established numerical procedure simulates the normal force acting on the roller groove with a period of π and the housing thrust force with a period of 2π∕3 for given values of the joint angle. These results are inspected by experiments.

The Effect of Tool Joint Stiffness on Drill Pipe Fatigue in Riser Ball Joints

1989 ◽  
Vol 111 (4) ◽  
pp. 369-374 ◽  
Author(s):  
A. Ertas ◽  
W. R. Blackstone ◽  
B. K. Majumdar
Keyword(s):  
Fatigue Damage ◽  
Joint Angle ◽  
Drill Pipe ◽  
Joint Stiffness ◽  
Finite Element Models ◽  
Ball Joint ◽  
Marine Riser ◽  
Joint Angles ◽  
Ball Joints ◽  
Tool Joint

It is well known that the ball joint in a marine riser can cause fatigue damage in the drill pipe passing through. Previous investigators have assessed the damage done for a lower ball joint angle of 3–5 degrees (drilling) and 1–3 degrees (running casing). This paper extends that work to deep water operations in which an upper ball joint is also present. Also, it is shown, via finite element models, that tool joint bending stiffness can have a significant effect on fatigue life. Fatigue damage calculations, including this heretofore unconsidered effect, are presented for various ball joint angles and drill pipe tensions.

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