• Title/Summary/Keyword: Constraining Plate

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A Study on Robust Design Optimization of Layered Plates Bonding Process Considering Uncertainties (불확정성을 고려한 적층판 결합공정의 강건최적설계)

  • Lee, Woo-Hyuk;Park, Jung-Jin;Choi, Joo-Ho;Lee, Soo-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.1 s.256
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    • pp.113-120
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    • 2007
  • Design optimization of layered plates bonding process is conducted by considering uncertainties in a manufacturing process, in order to reduce the crack failure arising due to the residual stress at the surface of the adherent which is caused by different thermal expansion coefficients. Robust optimization is peformed to minimize the mean as well as its variance of the residual stress, while constraining the distortion as well as the instantaneous maximum stress under the allowable reliability limits. In this optimization, the dimension reduction (DR) method is employed to quantify the reliability such as mean and variance of the layered plate bonding. It is expected that the DR method benefits the optimization from the perspectives of efficiency, accuracy, and simplicity. The obtained robust optimal solution is verified by the Monte Carlo simulation.

A Study on Robust Design Optimization of Layered Plates Bonding Process Considering Uncertainties (적층판 결합공정의 불확정성을 고려한 강건최적설계)

  • Choi Joo-Ho;Lee Woo-Hyuk;Youn Byeng-Dong;Xi Zhimin
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.836-840
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    • 2006
  • Design optimization of layered plates bonding process is conducted to achieve high product quality by considering uncertainties in a manufacturing process. During the cooling process of the sequential sub-processes, different thermal expansion coefficients lead to residual stress and displacement. thus resulting in defects on the surface of the adherent. So robust process optimization is performed to minimize the residual stress mean and variation of the assembly while constraining the distortion as well as the instantaneous maximum stress to the allowable limits. In robust process optimization, the dimension reduction (DR) method is employed to quantify both reliability and quality of the layered plate bonding. Using this method. the average and standard deviation is estimated. Response surface is constructed using the statistical data obtained by the DRM for robust objectives and constraints. from which the optimum solution is obtained.

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Geochemistry of Precambrian Mafic Dikes in Northern Michigan, U.S.A.: Implications for the Paleo-Tectonic Environment (북부 미시간 지역에 분포하는 선캠브리아기의 염기성 암맥에 대한 지화학적인 연구)

  • Wee, Soo Meen
    • Economic and Environmental Geology
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    • v.24 no.4
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    • pp.447-463
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    • 1991
  • Petrological and chemical studies of Precambrian dikes in the southern Lake Superior region were conducted with the objects of evaluating magma source and constraining models for the paleo-tectonic environment. Forty-six samples were analyzed for major, trace, and rare earth elements. Chemical data of the studied dikes are typical of continental tholeiites and showing iron-enrichment fractionation trend. With wallrock contamination carefully evaluated, a series of tectonic discriminating methods utilizing immobile trace elements indicate that the source magma was a high-Ti tholeiitic basalt similar to present-day T-type MORB. Effect of chemical contamination from wallrock assimilation accmulates with increasing differentiation. Evolved rocks show LREE enriched patterns and have enhanced levels of LIL elements (e.g., Rb, K, Ba, Th), but low levels of high field strength elements (e.g., Nb, P, Ti) with respect to their neighboring elements. It is suggested from this study that this enrichment possibly due to a combination of a feature inherited from the subcontinental lithosphere and crustal contamination. Geochemical signatures of these rocks are distinctively different from those of arc-related volcanics. Comparisons with chemistries of modern magmas show a pattern of overlap between Within-plate and ocean-floor characteristics, and chemical signatures of these rocks favor a model of intrusion into a crustal environment undergoing lithospheric attenuation.

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