Modeling of the thermal expansion behaviour of ZERODUR at arbitrary temperature profiles

Ralf Jedamzik; Thoralf Johansson; Thomas Westerhoff

doi:10.1117/12.855980

19 July 2010 Modeling of the thermal expansion behaviour of ZERODUR at arbitrary temperature profiles

Ralf Jedamzik, Thoralf Johansson, Thomas Westerhoff

Proceedings Volume 7739, Modern Technologies in Space- and Ground-based Telescopes and Instrumentation; 77390I (2010) https://doi.org/10.1117/12.855980
Event: SPIE Astronomical Telescopes + Instrumentation, 2010, San Diego, California, United States

Abstract

Modeling of the thermal expansion behavior of ZERODUR® for the site conditions of the upcoming Extremely Large Telescope's (ELT's) allows an optimized material selection to yield the best performing ZERODUR® for the mirror substrates. The thermal expansion of glass ceramics is a function of temperature and a function of time, due to the structural relaxation behavior of the materials. The application temperature range of the upcoming ELT projects varies depending on the possible construction site between -13°C and +27°C. Typical temperature change rates during the night are in the range between 0.1°C/h and 0.3°C/h. Such temperature change rates are much smaller than the typical economic laboratory measurement rate, therefore the material behavior under these conditions can not be measured directly. SCHOTT developed a model approach to describe the structural relaxation behavior of ZERODUR®. With this model it is possible to precisely predict the thermal expansion behavior of the individual ZERODUR® material batches at any application temperature profile T(t). This paper presents results of the modeling and shows ZERODUR® material behavior at typical temperature profiles of different applications.

Citation Download Citation

Ralf Jedamzik, Thoralf Johansson, and Thomas Westerhoff "Modeling of the thermal expansion behaviour of ZERODUR at arbitrary temperature profiles", Proc. SPIE 7739, Modern Technologies in Space- and Ground-based Telescopes and Instrumentation, 77390I (19 July 2010); https://doi.org/10.1117/12.855980

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