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Practical feasibility of the multistage deflection theory
Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena, 1995A magnetic five-stage deflection system has been developed to prove the practicality of a design method based on the multistage deflection theory. High-precision printed coils are used for five-stage deflection. Coil manufacturing accuracy is 30 μm. By using this system, beam resolution of less than 0.25 μm has been obtained at 7×7 mm2 field corners ...
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Prebuckling Deflections and Lateral Buckling. I: Theory
Journal of Structural Engineering, 1992When the ratio of the minor axis flexural stiffness to the major axis flexural stiffness is large, classic analysis may lead to inaccurate predictions of the lateral buckling loads of beams and beam‐columns because the effects of prebuckling deformations are not considered.
Yong Lin Pi, N. S. Trahair
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Electron Beam Deflection: Part II. Applications of the Small-Angle Deflection Theory
Journal of Applied Physics, 1947The theory developed in Part I is applied to a number of typical deflection fields such as the fields produced by parallel plates, parallel cylinders, semi-infinite co-planar sheets, and bent-plates. Graphs for the magnitude of deflection are given. An electrolytic tank potential-plotting device is described which was used for the determination of the ...
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Theory for Moderately Large Deflections of Thin Sandwich Shells
Journal of Applied Mechanics, 1965This paper presents equations which govern moderately large deflections of thin sandwich shells. These equations account for the bending resistance of the facings and orthotropy; they are compared with previous formulations.
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LXXXIX. Mathematical theory of deflection of beam
The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1946(1946). LXXXIX. Mathematical theory of deflection of beam. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science: Vol. 37, No. 275, pp. 855-862.
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An asymptotic theory for the moderately large deflections of anisotropic plates
Journal of Engineering Mathematics, 1969In this paper a first approximation theory for the moderately large deflections of anisotropic plates is derived. The method used is that of asymptotic integration of a non-linear set of elasticity equations. Higher order systems can be derived in a systematic manner. For an isotropic material, the derived equations reduce to the von Karman equations.
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Large Deflection Theory of Elasto-Plastic Plates
Journal of the Engineering Mechanics Division, 1958Closed form solutions for deflections, residual deflections, residual membrane tensions, and other quantities of engineering interest for infinitely long clamped rectangular plates with large deflections, under uniform pressure; analysis assumes infinite rigidity, in plane of plate of boundary supports; charts for solving equations.
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Discussion of “Selberg on Deflection Theory”
Transactions of the American Society of Civil Engineers, 1963Arne Selberg, Sven Olof Asplund
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