Articles with "analytical equations" as a keyword



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Analytical Equations and Numerical Simulation Describing the Pore and Solid Phase Distributions of Interfacial Transition Zones in Cement-Based Materials

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Published in 2021 at "Journal of Materials in Civil Engineering"

DOI: 10.1061/(asce)mt.1943-5533.0003494

Abstract: AbstractBy combining the nearest surface distribution function and hydration kinetic equation, analytical equations are proposed to determine the pore phase and solid phase evolution in the interfa... read more here.

Keywords: equations numerical; analytical equations; numerical simulation; solid phase ... See more keywords
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Analytical equations for a nonconfocal stigmatic three-freeform-mirror system.

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Published in 2022 at "Applied optics"

DOI: 10.1364/ao.469563

Abstract: This paper presents a novel method, to the best of our knowledge, to design three-freeform-mirror systems from scratch. The technique consists of getting an initial setup, before optimization, which is directly obtained from the set… read more here.

Keywords: three freeform; freeform mirror; stigmatic three; analytical equations ... See more keywords
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Development of Piezo-Driven Compliant Bridge Mechanisms: General Analytical Equations and Optimization of Displacement Amplification

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Published in 2017 at "Micromachines"

DOI: 10.3390/mi8080238

Abstract: Compliant bridge mechanisms are frequently utilized to scale micrometer order motions of piezoelectric actuators to levels suitable for desired applications. Analytical equations have previously been specifically developed for two configurations of bridge mechanisms: parallel and… read more here.

Keywords: displacement amplification; analytical equations; compliant bridge; bridge mechanisms ... See more keywords