A long web span supported by many, regularly spaced, alternating air-bars is studied. The focus is on the lateral forces on the web due to the interaction of lateral curvature with out-of-plane deflections. The effect of stretching of the elastic web material is included, and the effect of high web speed is handled by distinguishing between the tension in the material Tmat and the apparent tension Tapp=Tmat−μv2. The governing partial differential equations for a continuous representation of the web’s lateral deflection, stability, and control is developed for both straight and cambered webs. The dimensionless parameters for web-tension effect, web-camber effect, and stretching effect are identified. The influence of tilted air-bars is studied, towards developing a control mechanism to compensate for camber.

Issue Section:
Technical Papers
Keywords:
elastic constants, elasticity
Topics:
Deflection, Elasticity, Equilibrium (Physics), Ovens, Pressure, Stiffness, Tension, Rollers, Boundary-value problems, Elastic constants
1.
Shelton, John J., 1968, “Lateral Dynamics of a Moving Web,” Ph.D. thesis, MAE Department, Oklahoma State University, Stillwater, OK, July.
2.
Shelton, J. J., 1992, “Initially Straight Moving Web With a Slack Edge: Steady State Behavior Caused by Roller Nonparallelism Greater Than Critical,” Web Handling–1992, ASME, New York, AMD-Vol. 149, pp. 51–65.
3.
Young
,
G. E.
,
Shelton
,
J. J.
, and
Kardamilas
,
C.
,
1989
, “
Modeling and Control of Multiple Web Spans Using State Estimation
,”
ASME J. Dyn. Syst., Meas., Control
,
111
, pp.
505
–
510
.
4.
Shelton, J. J., 1985, “Stability and Control of a Center or End Pivoted Web Guide,” Proc. 4th American Control Engineering Conf., American Automatic Control Council, Green Valley, AZ, pp. 385–387.
5.
Swanson, R. P., 1993, “Air-Support Conveyance of Uniform and Non-Uniform Webs,” Proc. Second International Conference on Web Handling, Stillwater, OK, June 6–9, Oklahoma State University, Stillwater, OK, pp. 1–21.
6.
Young
,
G. E.
,
Shelton
,
J. J.
, and
Fang
,
B.
,
1989
, “
Interaction of Web Spans, Parts I and II
,”
ASME J. Dyn. Syst., Meas., Control
,
111
, pp.
490
–
504
.
7.
Chang, Y. B., Swanson, R. P., and Moretti, P. M., 1999, “Resiliency of an Air-Floated Web,” Proc. Fifth International Conference on Web Handling, Stillwater, OK, June 6–9, Oklahoma State University, Stillwater, OK, pp. 543–559.
8.
Moretti, P. M., and Chang, Y. B., 1995, “Coupling Between Out-of-Plane Displacements and Lateral Stability of Webs in Air-Support Ovens,” Proc. Third International Conference on Web Handling, Stillwater, OK, June 18–21, Oklahoma State University, Stillwater, OK, pp. 338–347.
9.
Pinnamaraju, R., 1992, “Measurement on Air-Bar/Web Interaction for the Determination of Lateral Stability of a Web in Flotation Ovens,” MS thesis, MAE Department, Oklahoma State University, Stillwater, OK, Dec.
10.
Perdue, D. M., 1993, “Lateral Stability Investigation of Air-Bar and Web Interaction for Use in Flotation Ovens,” MS thesis, MAE Department, Oklahoma State University, Stillwater, OK, Dec.
11.
Nisankararao, S. K. V., 1994, “An Experimental Study of Aerodynamic Forces of Air Bars,” M.S. thesis, MAE Department, Oklahoma State University, Stillwater, OK, May.
12.
Chang, Y. B., and Moretti, P. M., 1995, “Ground-Effect Theory and Its Application to Air-Flotation Devices,” Proc. Third International Conference on Web Handling, Stillwater, OK, June 18–21, Oklahoma State University, Stillwater, OK, pp. 348–365.
13.
Chang, Y. B., and Moretti, P. M., 1997, “Aerodynamic Characteristics of Pressure-Pad Air Bars,” ASME International Mechanical Engineering Congress and Exposition, AD-Vol. 53-2 4th International Symposium on Fluid-Structure Interactions, Aeroelasticity, Flow-Induced Vibration and Noise, ASME, New York, AD-Vol. 53-2, pp. 3–9.
14.
Chang, Y. B., Swanson, R. P., and Moretti, P. M., 1999, “Longitudinal and Out-of-Plane Stiffness of a Web in an Air-Flotation Oven,” Proc. ASME, Noise Control and Acoustics Division–1999, ASME, New York, NCA-Vol. 26, pp. 435–443.
Copyright © 2004
 by ASME
You do not currently have access to this content.