Mechanical Engineering Science

Integration of measurement and simulation of film pressure for estimating deformation of a glass sheet on a noncontact air conveyor

YANGRui, ZHONGWei, WANGRongyue, LIChong, FANGJiwen


Recently, large and thin glass substrates are transported by air film conveyors to reduce surface damage. On the production line, the glass substrates are desired to be transported flatly on the conveyor to ensure the quality inspection. A method by feedbacking film pressure to the theoretical model is proposed for estimation of the deformation of the glass sheet, and the validity of the method is theoretically and experimentally verified. First, a theoretical model including the flow behavior through a porous-walled gap is established, and the film pressure distribution can be predicted by solving the model. Then, an experimental setup that can simultaneously measure the film pressure and the flatness of the glass sheet is established, and, the validity of the model is verified experimentally. Next, with the pressure points at the grooves as the boundary and the pressure points at the flange area as the feedback, an algorithm is applied to shape the one-dimensional deformation at the centerlines in accordance with a quadratic curve. Furthermore, two-dimensional deformation of the glass sheet can then be estimated by an interpolation operation. Comparisons of the calculated results with the experimental data verify the effectiveness of the estimating method.


Deformation of glass sheet; air conveyor; air film; pressure distribution; pressure feedback

Full Text:



Chen X.; Zhong W.; Li C.; Fang J.; Liu F. Development of a contactless air conveyor system for transporting and positioning planar objects. Micromachines 2018, 9(10), 487.

Zhong W.; Ji X.; Li C.; Fang J.; Liu F. Determination of permeability and inertial coefficients of sintered metal porous media using an isothermal chamber. Appl. Sci 2018, 8(9), 1670.

Shi K.; Li X.; Experimental and theoretical study of dynamic characteristics of Bernoulli gripper. Precis. Eng 2018, 52, 323–331.

Savkiv V.; Mykhailyshyn R.; Duchon F. Gas dynamic analysis of the Bernoulli grippers interaction with the surface of flat objects with displacement of the center of mass. Vacuum 2019, 159, 524–34.

Devitt D. The physics of glass flotation. Semicond. Int. Japan 2009, 5, 19-24.

Im I.T.; Park C.W.; Kim K.S. A numerical study on the flow and heat transfer characteristics in a noncontact glass transportation unit. J. Mech. Sci. Technol. 2009, 23(12), 3416-3423.

Amano K.; Yoshimoto S.; Miyatake M.; Hirayama T. Basic investigation of noncontact transportation system for large TFT-LCD glass sheet used in CCD inspection section. Precis. Eng 2011, 35(1), 58–64.

Oiwa N.; Masuda M.; Hirayama T.; Matsuoka T.; Yabe H. Deformation and flying height orbit of glass sheets on aerostatic porous bearing guides. Tribol. Int. 2012, 48, 2–7.

Miyatake M.; Akahori H.; Yoshimoto S. Deformation of large liquid crystal display glass sheets across a gap between noncontact transportation devices. Precis. Eng. 2016, 46, 360–368.

Funaki T.; Kawashima K.; Inoue S. Application of measurement integrated simulation to unsteady flow monitoring. IEEE 2006 SICE-ICASE International Joint Conference, Busan, Korea, 2006, pp. 5218-5221.

Kontz M.E.; Book W.J.; Frankel J.G.; Pressure based exogenous force estimation. ASME 2006 Int. Mechanical Engineering Congress and Exposition, Chicago, Illinois, USA, 2006, pp.111–120.

Yoon J.Y.; Singh R. Estimation of interfacial forces in a multi-degree of freedom isolation system using a dynamic load sensing mount and quasi-linear models. J. Sound Vib. 2011, 330(18-19), 4429–4446.

Watanabe S.; Inoue H.; Fumoto K. An estimation of static aerodynamic forces of box girders using computational fluid dynamics. Wind Struct. 2004, 7(1), 29–40.

Hayase T. F051001 Integration of Measurement and Simulation in Flow Analysis. 2011.

Imagawa K.; Hayase T. Numerical experiment of measurement-integrated simulation to reproduce turbulent flows with feedback loop to dynamically compensate the solution using real flow information. Comput. Fluids 2010, 39(9), 1439–1450.

Li X.; Horie M.; Kagawa T. Pressure-distribution methods for estimating lifting force of a swirl gripper. IEEE/ASME Trans. Mechatronics 2013, 19(2), 707–718.

Nakao M.; Kawashima K.; Kagawa T. Measurement integrated simulation of wall pressure measurements using a turbulent model for analyzing oscillating orifice flow in a circular pipe. Comput. Fluids 2011, 49(1), 188–196.

Zhong W.; Gu X.; Li X.; Kagawa T. Study on the basic characteristics of a noncontact air conveyor for large glass sheets. Adv. Mech. Eng. 2017, 9(4), 1–13.

Zhong W.; Li X.; Liu F.H.; Tao G.; Lu B.; Kagawa T. Measurement and correlation of pressure drop characteristics for air flow through sintered metal porous media. Transp. Porous Med.2014, 101(1), pp.53-67.

Possamai F.C.; Ferreira R.T.S.; Prata A.T. Pressure distribution in laminar radial flow through inclined disks. Int. J. Heat Fluid Flow 2001, 22(4), 440-449.

Li X.; Kawashima K.; Kagawa T. Analysis of vortex levitation. Exp. Therm. Fluid Sci. 2008, 32(8), 1448-1454.



  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.