Optimal Control of Vitrifying Polymers Cooling Process to Reduce Residual Stresses

Article Preview

Abstract:

This paper’s purpose is analyzing a problem of optimal control of vitrifying polymers cooling process. A solution methodology is suggested targeting at decreasing technological residual stresses, which predetermine major operating characteristics of polymer structures. The criteria function to be minimized is maximum intensity of technological residual stresses under minimum cooling process time. To determine technological residual stresses, a problem of thermoviscoelasticity is solved in finite-elemental formulation. The chosen mathematical model of mechanical behavior of viscoelastic bodies under thermorelaxation transition allows to formulate and to solve the problem of cooling process optimal control. Obtained results show that application of optimal control methods to vitrifying polymers cooling process lead to tenfold decrease of technological residual stresses when compared to an uncontrolled process.

You might also be interested in these eBooks

Info:

Periodical:

Solid State Phenomena (Volume 243)

Pages:

23-28

Citation:

Online since:

October 2015

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2016 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Matveenko V.P., Smetannikov, O. Yu., Trufanov N.A., Shardakov, I.N., Models of thermomechanical behavior of polymeric materials undergoing glass transition. Acta Mech. 223 (6) (2012) 1261–1284.

DOI: 10.1007/s00707-012-0626-z

Google Scholar

[2] Matveenko V.P., Smetannikov, O. Yu., Trufanov N.A., Shardakov, I.N., Constitutive relations for viscoelastic materials under thermorelaxation transition. Acta Mech. 226 (7) (2015) 2177-2194.

DOI: 10.1007/s00707-015-1313-7

Google Scholar

[3] Peter J. Bickel, Kjell A. Doksum. Mathematical statistics: basic ideas and selected topics, Holden-Day, San Francisco, (1977).

Google Scholar

[4] Bartenev, G.M., Barteneva, A.G.: Relaxation Properties of Polymers. Chemistry, Moscow, (1992).

Google Scholar

[5] Zienkiewicz, O.C., Taylor, R.L.: The Finite Element Method for Solid and Structural Mechanics, 6th edn. Butterworth-Heinemann, Oxford, (2005).

Google Scholar

[6] Iljushin A.A., Pobedrja N.N. Mathematical theory of thermoviscoelasticity, Nauka, SPb., (1970).

Google Scholar

[7] Bunday B.D., Basic Optimization Methods, Hodder Arnold, (1984).

Google Scholar