Abstract
The developed mathematical models and the optimized parameters are validated through confirmatory experimental tests as well as using statistical tools. The models are validated through a comparative study of actual experimental results and predicted results from the models corresponding to the geometrical characteristics (top width; XT, bottom width; XB, depth; Z, and taperness of sidewalls) associated with each of the five sizes of micro-channels (100x50 µm, 200x100 µm, 400x20 µm, 800x400 µm, and 1000x500 µm) generated in three aerospace materials (nickel alloy; NA, titanium alloy; TA, and aluminum alloy; AA). Then the mean differences between the actual results and the model predicted results were compared through paired-t-test. The paired t-test performed for every response of every micro-channel was evaluated by setting the analysis assumptions such as confidence level of 95 %, t-values and p-values of the mean differences of actual and predicted results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Darwish, S.M.H., Ahmed, N., Al-Ahmari, A.M. (2017). Validations—Modeling and Optimization. In: Darwish, S., Ahmed, N., Al-Ahmari, A. (eds) Laser Beam Micro-milling of Micro-channels in Aerospace Alloys . Advanced Structured Materials, vol 68. Springer, Singapore. https://doi.org/10.1007/978-981-10-3602-6_8
Download citation
DOI: https://doi.org/10.1007/978-981-10-3602-6_8
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-3601-9
Online ISBN: 978-981-10-3602-6
eBook Packages: EngineeringEngineering (R0)