05.05.2014 Views

INFLUENCE OF A NON-STANDARD GEOMETRY ... - Dunarea de Jos

INFLUENCE OF A NON-STANDARD GEOMETRY ... - Dunarea de Jos

INFLUENCE OF A NON-STANDARD GEOMETRY ... - Dunarea de Jos

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

16<br />

THE ANNALS <strong>OF</strong> UNIVERSITY “DUNĂREA DE JOS “ <strong>OF</strong> GALAŢI<br />

FASCICLE VIII, 2004, ISSN 1221-4590<br />

TRIBOLOGY<br />

means that the tooth <strong>de</strong>flection has a reduced<br />

influence on gear sliding velocity.<br />

Table 3 presents the curved face width gear<br />

geometry, at the gear face width end, <strong>de</strong>fined by R g =<br />

28 mm and several tool axis inclinations. Figure 9<br />

shows the variations of the i<strong>de</strong>al and real sliding<br />

velocity along half of the gear face width. It can be<br />

seen that the i<strong>de</strong>al velocity varies, along the gear face<br />

width, by 4.2% (β = 2°) to 10.7% (β = 8°). The real<br />

sliding velocity variation is about 3.8% (β = 2°) and<br />

9.8% (β = 8°).<br />

The data show that the plastic non-standard gear<br />

sliding velocity is affected by the in<strong>de</strong>pen<strong>de</strong>nt<br />

parameters that control gear geometry as follows:<br />

- an increase in generating circle radius reduces both<br />

the i<strong>de</strong>al and the real sliding velocity variation;<br />

- an increase in tool axis inclination increases the<br />

sliding velocity variation.<br />

The variable tooth stiffness reduces the variation<br />

of the real sliding velocity compared to the i<strong>de</strong>al<br />

velocity, due to the <strong>de</strong>crease in tooth <strong>de</strong>flection from<br />

the gear centre to its end sections.<br />

6. CONCLUSIONS<br />

An analysis on sliding velocity is <strong>de</strong>veloped<br />

for the case of a plastic curved face width gear train,<br />

with modified geometry, as the sliding velocity has a<br />

direct influence on the gear flash temperature<br />

generated. Experimental investigations on the thermal<br />

behaviour of non-standard curved face width gears<br />

showed that high temperatures were induced.<br />

There are two peculiarities of these gears,<br />

which required investigation as they influence the<br />

variation in sliding velocity:<br />

1. the gear geometry that is <strong>de</strong>pen<strong>de</strong>nt on the gear<br />

generating process, by the radius of the tool<br />

“generating point”, that is provi<strong>de</strong>d with rotational<br />

motion, as well as by the tool inclination axis;<br />

2. the lower material stiffness that affects gear<br />

meshing conditions;<br />

The i<strong>de</strong>al sliding velocity is calculated using the<br />

traditional practice for metal gears and consi<strong>de</strong>rs the<br />

influence of the gear geometry on its variation. As a<br />

consequence of the base circle radius and pressure<br />

angle variations, along the gear face width, the line of<br />

action has an increased length and the maximum<br />

sliding velocity is higher towards the gear face width<br />

end sections.<br />

The real sliding velocity consi<strong>de</strong>rs the influence<br />

of both the gear geometry and tooth <strong>de</strong>flection. It was<br />

found out that the sliding velocity is mainly<br />

influenced by the gear geometry. The gear tooth<br />

<strong>de</strong>flections do not have a significant influence on the<br />

sliding velocity - they reduced its variation compared<br />

to the i<strong>de</strong>al calculation.<br />

REFERENCES<br />

1. Andrei L., 2002, Study of plastic curved face-width spur gear<br />

generation and behaviour, PhD Thesis, University “<strong>Dunarea</strong> <strong>de</strong><br />

<strong>Jos</strong>” of Galati.<br />

2. Andrei L., Epureanu Al., Andrei G., Walton D., 2004,<br />

Investigation of the Thermal Behaviour of Non-metallic Curved-<br />

Face-Width Spur Gears, Tribotest Journal 10-4, Leaf Coppin, p.<br />

299-310.<br />

3. Andrei L., Andrei G., Epureanu Al., Oancea N., Walton D.,<br />

2002, Numerical simulation and generation of curved face width<br />

gears, Int. J. Machine Tools Manufact., 42, p. 1-6.<br />

4. Andrei L., Andrei G., Mereuta E., 2002, Simulation of<br />

curved-face-width spur gear generation and mesh using the solid<br />

mo<strong>de</strong>lling method, Proc. 10 th Int. Conf. on Geometry and<br />

Graphics, Kiev, Ucraine, Vol.1, p. 245-9.<br />

5. Block H., 1933, Les Temperatures <strong>de</strong> Surface dans les<br />

Conditions <strong>de</strong> fraissage sous Pressions Extreme, Congr.<br />

Mondialopetr. Le 2 Congr., Paris, 47—486.<br />

6. Davoli P., Gorla C., 1996, Meshing Conditions of Loa<strong>de</strong>d<br />

Plastic Gears: Numerical Analysis and Experimental tests, Berichte<br />

no 1230, p. 383-396.<br />

7. Goodwin A. J., 1994, The wear of dry running steel gears,<br />

Mphil thesis, The University of Birmingham, UK.<br />

8. Hooke C.J., Mao K., et al, 1992, Measurement and Prediction<br />

of the Surface Temperature in Polymer Gears and Its Relationship<br />

to Gear Wear, J. Tribology (trans. ASME)-12, p. 1-6.<br />

9. Meuleman P. K., Walton D., Weale D. J., Driessen I., 2000,<br />

Minimisation of transmission errors in highly loa<strong>de</strong>d plastic gears.<br />

Research done un<strong>de</strong>r the European Industrial and Materials<br />

Programme (Brite EuRam III), Mid-term report, Project No BE97-<br />

4752.<br />

10. Nikas G.K., 1996, Load Sharing and Profile Modification of<br />

Spur Gear Teeth in the General Case of any Flank Geometry,<br />

Berichte no 1230, p. 923-935.<br />

11. Timoshenko S., Braud R.V., 1926, Strength of gear teeth is<br />

greatly affected by fillet radius, Automotive Industries, p. 138-142.<br />

12. Walton D., Cropper A.B. Weale D.J., Meuleman P. K.,<br />

2002, The efficiency and friction of plastic cylindrical gears: Part 1<br />

– influence of materials, Proc. IMechE, Part J: Journal of<br />

Engineering Tribology, vol. 216, p. 75-92.<br />

13. Weber C., 1949, The <strong>de</strong>formation of loa<strong>de</strong>d gears and the<br />

effect of their load carrying capacity, British Scientific and<br />

Industrial Research, Sponsored Research (Germany), Report No 3.<br />

14. Yang D.C., Lin I.Y., 1987, Hertzian Damping, Tooth Friction<br />

and Bending Elasticity in Gear Impact Dynamics, J. Mechanical<br />

Transmission and Automation in Design, vol. 109.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!