Reduced Order Model of Glass Plate Loaded by Low-Velocity Impact

Reduced Order Model of Glass Plate Loaded by Low-Velocity Impact

Tomáš Janda Alena Zemanová Petr Hála Petr Konrád Jaroslav Schmidt

Czech Technical University in Prague, Czech Republic

Page: 
36-46
|
DOI: 
https://doi.org/10.2495/CMEM-V8-N1-36-46
Received: 
N/A
|
Revised: 
N/A
|
Accepted: 
N/A
|
Available online: 
N/A
| Citation

© 2020 IIETA. This article is published by IIETA and is licensed under the CC BY 4.0 license (http://creativecommons.org/licenses/by/4.0/).

OPEN ACCESS

Abstract: 

This article concerns a reduced order model of unconstrained glass plate exposed to low-velocity impact. First, three-parametric model consisting of two masses connected with elastic spring is introduced, its calibration procedure is described, and the simulation of its response to force impulses with different duration is shown. Then a five-parametric variant of the reduced order model is presented, calibrated and tested. Combined with the Hertzian theory of non-adhesive contact, the model allows us to determine the time evolution of contact force for arbitrary mass, stiffness and initial velocity of the impactor. The simulated results are compared to experimentally obtained data and observations about the model properties and accuracy are made.

Keywords: 

dynamic analysis, force impulse, glass plate, Hertzian contact, impact loading, reduced order model

  References

[1] Logg, A., Mardal, K.A. & Wells, G.N. (eds), Automated Solution of DifferentialEquationsby the Finite Element Method: The FEniCS Book, Vol. 84, Springer, 2012.

[2] Chung, J. & Hubert, G.M., A time integration algorithm for structural dynamics withimproved numerical dissipation: The generalized-α method. ASME Journal of AppliedMechanics, 60(2), pp. 371–375, 1993. https://doi.org/10.1115/1.2900803

[3] Johnson, K.L., Contact Mechanics, Cambridge University Press, 1985.

[4] Covaciu, D. & Dima, D.S., Crash tests data acquisition and processing. In CONAT 2016International Congress of Automotive and Transport Engineering, pp. 782–789, 2017.