Results 41 to 50 of about 824,488 (198)
A Mixed Discrete Cosserat Rod Formulation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In this communication we propose a discrete Cosserat rod formulation in which a slender elastic rod is represented as a chain of rigid bodies (nodes) coupled by compliant elastic forces and moments acting between adjacent node pairs. Discrete dilatation, shear, torsion and curvature strain measures are evaluated from the relative kinematics of
Tianxiang Dai +4 more
wiley +1 more source
Darboux Frame of Pancake Curve in Euclidean 3-Space
Cumhuriyet Science JournalIn this paper, we focus on a rare curve, “The pancake curve” which was named by Robert Ferréol. We investigate the Darboux frame of the curve, and we calculate the curvatures: geodesic curvature, normal curvature, and geodesic torsion.
Emre Öztürk
doaj +1 more source
Nonlinear Receding‐Horizon Differential Game for Drone Racing Along a Three‐Dimensional Path
International Journal of Robust and Nonlinear Control, Volume 36, Issue 15, Page 7177-7192, October 2026.ABSTRACT Drone racing requires high‐speed navigation through three‐dimensional paths, posing significant challenges in control engineering. Existing control methods lack a feedback control framework that simultaneously addresses nonlinear drone dynamics and multi‐agent competitive interactions, such as overtaking or obstructing opponents.
Kijin Sung +4 more
wiley +1 more source
On generalized osculating-type curves in Myller configuration
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this study, we examine osculating-type curves with Frenet-type frame in Myller configuration for Euclidean 3-space E3. We present the necessary characterizations for a curve to be an osculating-type curve.
İşbilir Zehra, Tosun Murat
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Geometric spectral properties of electromagnetic waveguides
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
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, 2011 This educational Demonstration, primarily for vector calculus students, shows the moving Frenet frame (or TNB frame, for tangent, normal, and binormal).
Bykov, Nick
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Chinese Journal of Mechanical EngineeringMotion planning for autonomous vehicles has attracted significant attention; however, autonomous overtaking by lane borrowing on two-way, two-lane national highways remains underexplored.
Wei Han +5 more
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Cumhuriyet Science Journal, 2018 The aim of presentpaper is to introduce and investigate the spacelike Bezier curve with atimelike principal normal in Minkowski 3-space. The Serret-Frenet frame,curvatures and the derivation formulas of the curve at the starting and endingpoints are ...
Hatice Kuşak Samancı
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Driver Behavior Modeling with Subjective Risk‐Driven Inverse Reinforcement Learning
Advanced Intelligent Systems, Volume 8, Issue 7, July 2026.A subjective risk‐driven inverse reinforcement learning framework is proposed to model driver decision‐making. It infers drivers' risk perception and risk tolerance from driving data. A learnable risk threshold is used to regulate decisions, enabling interpretable and human‐like driving behavior decisions.
Yang Liang +6 more
wiley +1 more source
, 2016 This educational Demonstration, primarily for vector calculus students, shows the moving Frenet frame (or TNB frame, for tangent, normal, and binormal).
Bykov, Nick
core +1 more source