High-Efficiency Dynamic Modeling of a Helical Spring Element Based on the Geometrically Exact Beam Theory by Jian Zhang, Zhaohui Qi, Gang Wang, Shudong Guo

“…Unlike the traditional spliced curved beam element method, the helical spring element is described with curvature vector and axial strain by establishing and spline-interpolating a function of the radius, the height, the polar angle, and the torsion angle of the whole spring. …”
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Peripheral membrane protein endophilin B1 probes, perturbs and permeabilizes lipid bilayers by Arni Thorlacius, Maksim Rulev, Oscar Sundberg, Anna Sundborger-Lunna

“…Abstract Bin/Amphiphysin/Rvs167 (BAR) domain containing proteins are peripheral membrane proteins that regulate intracellular membrane curvature. BAR protein endophilin B1 plays a key role in multiple cellular processes critical for oncogenesis, including autophagy and apoptosis. …”
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Encounters with Vortices in a Turbine Nozzle Passage by J. P. Gostelow, A. Mahallati, W. E. Carscallen, A. Rona

“…The suction surface had a strong convex curvature over the forward portion and was quite flat further downstream. …”
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A General Fourier Formulation for In-Plane and Out-of-Plane Vibration Analysis of Curved Beams by Rui Nie, Tianyun Li, Xiang Zhu, Huihui Zhou

“…Besides, by accurately calculating the vibration characteristics of common engineering structures like slow curvature (whirl line), the wide application prospects of this method are shown.…”
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TWSME of a NiTi strip in free bending conditions: experimental and theoretical approach by A. Fortini, M. Merlin, R. Rizzoni, S. Marfia

“…The evolution of the curvature with the increasing number of cycles was evaluated. …”
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Flexural and Thermal Properties of Novel Energy Conservation Slotted Reinforced Concrete Beams by Gao Ma, Liang Huang, Libo Yan, Hui Wang, Peng Yin

“…However, the damage process of the slotted beams was different from that of the solid beams at the final loading stage. The moment curvature analysis indicated that the tensile reinforcement ratio of the outer and inner beams had an important effect on the flexural behavior, especially the ductility of the slotted beams. …”
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Properties of Gaussian Beam Propagating in Ring Resonator Sensor by Long Jin, Zhiqiang Yang, Qiang Zhang

“…What is more, we propose a ring resonator sensor to measure the concentration of NaCl solution on the basis of above theory, of which the operating principle is deliberatively analyzed, the influence of the concave mirror curvature radius on the emerging beam evolution is acquired, the functional relation between the normalized central intensity of the emerging beam, the beam spot size, and NaCl solution concentration is further developed by fit linear method, and the mathematical statistics results reach high precision and linearity. …”
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Proverbial Expressions in Contextual Definition of Káà and its Postproverbial Imagination by Michael Olaniyi Ajadi

“… Káà is an architectural term widely used by the Yoruba to describe designative points in a radius of curvature for a building complex agbo-ilé. The general idea of this time-honored complex has based on combining apartments into a congruous unit to give central area/courtyard aya-ilé, strewn with sand for open-air entertainments, contests, spectacles and judicatory. …”
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Ink Art Three-Dimensional Big Data Three-Dimensional Display Index Prediction Model by Xiaonan Cao

“…Set the surface of the model with ink style brushstroke texture patterns, refer to the depth map, normal map, and curvature map information of the model, and simulate the drawing effect of the method by procedural texture mapping. …”
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A Study on the Effect of the Contact Point and the Contact Force of a Glass Fiber under End-Face Polishing Process by Ying-Chien Tsai, Guang-Miao Huang, Shin-Wei Cheng, Cheng-An Hsu, Innchyn Her

“…This study proposes an image assistant method to find the initial contact point and a mathematical model to estimate the contact force when fabricating the double-variable-curvature end-face of single mode glass fiber. The repeatability of finding the initial contact point via the vision assistant program is 0.3 μm. …”
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Almost contact metric 3-submersions by Bill Watson

“…The respective φi-holomorphic sectional and bisectional curvature tensors are studied and several unexpected results are obtained. …”
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Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion by Yang Zhuxi, Wu Yuanhang, Tang Jinyuan

“…Secondly， the contact analysis coordinate system with installation error is established， and the contact point and its curvature calculation equation are obtained by the tooth contact analysis (TCA) theory. …”
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Comparison of Canal Transportation and Centering Ability of One-G, EdgeGlidePath, and Neolix: A MicroComputed Tomography Study of Curved Root Canals by Shiva Shojaeian, Niloofar Mortezapour, Fatemeh Soltaninejad, Nazanin Zargar, Babak Zandi, Yazdan Shantiaee, Amin Bidaki

“…Materials and Methods. 30 sound mesiobuccal root canals of mandibular molars with 20° to 40° curvature were selected and randomly assigned to 3 groups of EdgeGlidePath (EGP, EdgeEndo), One-G (Micro-Mega), and Neolix (Neoniti). …”
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Transplanckian censorship and the local swampland distance conjecture by Patrick Draper, Szilard Farkas

“…We also analyze 4d electrically charged dilatonic black holes. Small curvature at the horizon imposes a bound log (MBH) ,≳ |∆𝜙|, independent of the WGC, and the bound can be strengthened if the particle satisfying the WGC is sufficiently light. …”
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A Novel Approach for Operating Speed Continuous Predication Based on Alignment Space Comprehensive Index by Ying Yan, Gengping Li, Jinjun Tang, Zhongyin Guo

“…The variables used in ACI include horizontal curve radius, change rate of curvature, deflection angle of curve, grade, and lane width. …”
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Picturing Global Substorm Dynamics in the Magnetotail Using Low‐Altitude ELFIN Measurements and Data Mining‐Based Magnetic Field Reconstructions by Xiaofei Shi, Grant K. Stephens, Anton V. Artemyev, Mikhail I. Sitnov, Vassilis Angelopoulos

“…Here we compare the SST19 reconstructions to low‐altitude electron losses and fields investigation (ELFIN) measurements of energetic particle precipitations to probe the radial profile of the equatorial magnetic field curvature during a 19 August 2022 substorm. ELFIN and SST19 yield a consistent dynamical picture of the magnetotail during the growth phase and capture its key features such as the formation of a thin current sheet and its earthward motion. …”
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Natural tristability of a confined helical filament with anisotropic bending rigidities by Zicong Zhou

“…Abstract We find that when $$c_0 R\sim 0.5$$ c 0 R ∼ 0.5 and $$\tau _0R<0.11<c_0R$$ τ 0 R < 0.11 < c 0 R , confining a helical filament with anisotropic bending rigidities within a cylindrical tube of radius R can create a natural tristable status which is consisted of two low-pitch helices and one high-pitch helix, where a helical filament is referred to as a filament that has both an intrinsic curvature ( $$c_0$$ c 0 ) and an intrinsic twist rate ( $$\tau _0$$ τ 0 ). …”
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Use of wood-plastic composites in 4D printing technology by Daša Krapež Tomec, test test, Aleš Straže, Matevž Kokot, Manja Kitek Kuzman, Mirko Kariž

“…To monitor the change in shape, or curvature, we fabricated composite test specimens using the bimetal principle (actuators), in which we used PLA for the passive layer and wood-PLA for the active layer in different thickness ratios and exposed them to laboratory and external conditions. …”
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Tooth Profile Construction Method with Double Pressure Angles for High Performance Gear Pumps by Li Deling

“…All results show that the double pressure angles construction method not only eliminates the undercut phenomenon, but also adopts the standard machining; the greater the working pressure angle is, the better the performance of lightweight, oil trapping and tooth root bending resistance will be, but the worse the quality of the flow pulsation will become; the larger the working pressure angle is, the larger the radius of curvature of the tooth profile is, the smaller the sliding coefficient and contact stress of the tooth surface are, the smaller the wear of the gear teeth will be and the longer the service life will become; the higher the addendum height coefficient is, the better the flow pulsation quality is, the worse the oil trapping performance is, and there will be little impact on the lightweight performance. …”
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Sliding Mode Control for Robust Path Tracking of Automated Vehicles in Rural Environments by Jose Matute, Sergio Diaz, Ali Karimoddini

“…The effectiveness of the proposed approach is comprehensively evaluated through simulations and experiments encompassing challenging driving scenarios characterized by high-curvature paths, varying altitudes, and sensor disturbances, typical in rural driving environments. …”
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