STUDY ON DAMAGE ASSESSMENT FOR BEAM TYPE STRUCTURES BY VIRTUAL LOAD METHOD by LI CuiHong, YANG QiuWei, LIANG ChaoFeng, LU Chen

“…A series of virtual load vectors are constructed to obtain the same pure bending states for different segments of the beam. And then the curvatures of these segments loaded in pure bending are compared to identify the damage locations and extents. …”
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Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells by Mikhail Z. Iofa

“…In the general case of time-dependent metrics we calculate extrinsic curvatures of the shell in both coordinate systems and show that the results are identical. …”
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Temperature Field Analysis of Grinding Face Gear by Ning Zhao, Jia Zhai, Shaojie Hou, Qian Yang, Tao Yang

“…The principal directions and corresponding curvatures at grinding point on face gear tooth surface are derived according to meshing theory and differential geometry theory. …”
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Combined Effect of a Locking Plate and Teriparatide for Incomplete Atypical Femoral Fracture: Two Case Reports of Curved Femurs by Hiroyuki Tsuchie, Naohisa Miyakoshi, Tomio Nishi, Hidekazu Abe, Toyohito Segawa, Yoichi Shimada

“…We report two incomplete bisphosphonate-related AFF patients with marked femoral curvatures treated by locking plates and teriparatide, showing early bone unions and favorable long-term outcomes.…”
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Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds by Mancho Manev

“…The forms of the Ricci tensor and the scalar curvatures generated by the pair of B-metrics on the studied manifolds with the additional structures have been found. …”
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Geometry of Hamiltonian Dynamics with Conformal Eisenhart Metric by Linyu Peng, Huafei Sun, Xiao Sun

“…At last the conformal curvatures, the geodesic equations, the Jacobi equations, and the equations for the flow of the famous models, an N degrees of freedom linear Hamiltonian system and the Hénon-Heiles model are given, and in a special case, numerical solutions of the conformal geodesics, the generalized momenta, and the Jacobi field along the geodesics of the Hénon-Heiles model are obtained. …”
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Apical transportation of nickel titianium reciprocating instruments. An in vitro study by Dario Di Nardo, Massimo Galli, Morgana Foghetti, Almira Isufi, Ivana Vidovic, Tugba Turk, Gabriele Miccoli

“…This alloy allows for easy navigation of the canal curvatures, enabling more conservative root canal preparations in a significantly reduced time. …”
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Acute Reciprocal Changes Distant from the Site of Spinal Osteotomies Affect Global Postoperative Alignment by Eric Klineberg, Frank Schwab, Christopher Ames, Richard Hostin, Shay Bess, Justin S. Smith, Munish C. Gupta, Oheneba Boachie, Robert A. Hart, Behrooz A. Akbarnia, Douglas C. Burton, Virginie Lafage

“…Radiographic analysis included pre- and postoperative regional curvatures and pelvic parameters, with paired independent t-tests to evaluate changes. …”
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Localization of Transversal Cracks in Sandwich Beams and Evaluation of Their Severity by G. R. Gillich, Z. I. Praisach, M. Abdel Wahab, O. Vasile

“…In fact, the process consists of comparing vectors representing the measured frequency shifts with patterns constructed using the mode shape curvatures of the undamaged beam. Once the damage is localized, the evaluation of its severity is made taking into account the global rigidity reduction. …”
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Octopus‐Inspired Adhesives with Switchable Attachment to Challenging Underwater Surfaces by Chanhong Lee, Austin C. Via, Aldo Heredia, Daniel A. Adjei, Michael D. Bartlett

“…The stalk's curved shape enhances conformal contact on large‐scale curvatures and increases contact stress for adaptability to small‐scale roughness. …”
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Flexible Microwave Tag System Based on DGS Multiple Resonators by Seok-Jae Lee, Jongsik Lim, Dal Ahn, Sang-Min Han

“…The flexibility of the thin substrate has been evaluated in terms of cognitive capability for various radiuses of curvatures. From the experimental results in an anechoic chamber, the excellent recognition of various multibits identification codes in a wireless transmission environment has been verified.…”
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Análise multicriterial para avaliação da susceptibilidade à ocorrência de quedas de blocos na vertente noroeste da serra da Meruoca, Ceará, Brasil by Adisson Souza Tavares, Frederico de Holanda Bastos

“…For this, nine criteria were listed for analysis: slope, rainfall, seismicity, horizontal and vertical curvatures, terrain roughness, structural guidelines, soil use and cover and mass movements scars. …”
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RESEARCH ON EXPANSION GRAPH AND MECHANICAL MODELING OF ANTI-TWIST BRAIDED WIRE ROPE by ZHAO Xia, WANG Hui, FU Chao, CUI WeiHua, ZHAO Ping, TIAN XiangSheng

“…Finally,the result obtained by numerical simulation is that the equivalent stresses of topical rope strands corresponding to the larger curvatures of the ellipse are larger.…”
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Coplanar Waveguide-Fed Broadband Microwave Devices with (or without) a Thin Dielectric Substrate for Use in Flexible Electronic Systems by Rafal Lech, Wojciech Marynowski, Adam Kusiek, Jerzy Mazur

“…Two examples of microwave devices, fed by a coplanar waveguide and realized on a thin substrate (or without such a substrate), are employed to investigate the influence of devices’ curvatures and the proximity of different materials on their parameters. …”
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Investigating Supercritical Bended Flow Using Physical Model and CFD by Hamza Souli, Jihane Ahattab, Ali Agoumi

“…Our aim in this paper is to investigate the distribution of water surface in five curved channels with five relative curvatures ρ, different bottom slopes (1%, 2%, 10%, and 18%) and three different cross-sections. …”
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Thermal Aging of Asahi SB-1000 Polymer Optical Fibers: Study on the Light Transmission Loss by Laura Helena González Trueba, Varlen Grabski, Larissa Alexandrova, Carla Aguilar Lugo

“…Different samples of Asahi model SB-1000 polymer optical fibers arranged at different curvatures were aged to predict the loss of light transmission over 10 years. …”
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A System Identification-Based Damage-Detection Method for Gravity Dams by Masoud Mirtaheri, Mojtaba Salkhordeh, Masoud Mohammadgholiha

“…Finally, Continuous Wavelet Transform (CWT) is applied to the residual values of mode shape curvatures between intact and damaged structures to estimate the damage location. …”
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Transverse Strains in Muscle Fascicles during Voluntary Contraction: A 2D Frequency Decomposition of B-Mode Ultrasound Images by James M. Wakeling, Avleen Randhawa

“…Current methodologies allow the fascicle lengths, orientations, and curvatures to be quantified, but not the transverse expansion. …”
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The Results of Hemivertebra Resection by the Posterior Approach in Children with a Mean Follow-Up of Five Years by Ramazan Erden Erturer, Bekir Eray Kilinc, Bahadir Gokcen, Sinan Erdogan, Kursat Kara, Cagatay Ozturk

“…The ability to obtain a sufficient and balanced correction in the cases accompanied by long compensator curvatures that have a structural character in hemivertebra may require longer fusion levels.…”
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Higher-dimensional Willmore energy as holographic entanglement entropy by Giorgos Anastasiou, Ignacio J. Araya, Pablo Bueno, Javier Moreno, Rodrigo Olea, Alejandro Vilar Lopez

“…The new functional involves an integral over the doubled RT surface of a linear combination of three quartic terms in extrinsic curvatures and is free from ultraviolet divergences by construction. …”
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