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Showing 1 to 6 of 6 for “"moving frame"”.
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Analysis of a Turbopiston Pump
… calculation employs both the simplified steady moving frame and the complicated transient sliding mesh schemes. The flow pattern, static pressure distribution, and total pressure losses are calculated and analyzed. The regions of high total pressure losses and potential creation of cavitation …
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Construction and control of motion compensation system
… equipment to achieve. A webcam is mounted on a moving frame and connected to a primary computer. This device compensates for user motion through physical actuation of this camera, triggered by live analysis of the video feed. The device achieved performance suitable for most envisioned …
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Invariant Euler-Lagrange Equations for Variational Problems Defined over Framed Curves in Two and Three Dimensions
… equations for variational problems defined over framed curves in two and three dimensions. We make use of the moving frame machinery developed by Fels and Olver ([FO99]) along with the structure of the invariant variational complex as derived by Kogan and Olver ([KO01]). In (]KO03]) Kogan and …
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Nonlinear Observers for Aircraft Maneuvering in Wind
… under the action of a Lie group. By using a moving frame to construct invariant observer mappings, both the design process and stability analysis are simplified. In cases where the system's nonlinearities comprise the Lie group's action, the nonlinear observer may even yield linear state …
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LONG TIME BEHAVIOR OF LINEAR AND NONLINEAR WAVES:LARGE LARGE AMPLITUDE TRAVELING QUASI-PERIODIC SOLUTIONS IN FLUID MECHANICS AND DYNAMICS OF LINEAR WAVE EQUATIONS
… which are bi-periodic and stationary in a moving frame, while for the case of the $\beta$-plane equation we also prove the stability of the solutions, provided that the external force fulfills some additional algebraic property. Due to the presence of small divisors, the proofs rely on a …
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Hydrogen-deficient central stars of planetary nebulae
… that solve the radiative transfer in the co-moving frame, together with the statistical equilibrium equations for the population numbers. First analyses employing models without iron-line blanketing resulted in systematically different abundances for [WCL] and [WCE] stars. While the mass …