Academic literature on the topic 'Parabolic arches'

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Journal articles on the topic "Parabolic arches"

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Leitman, M. J., and P. Villaggio. "Optimal parabolic arches." International Journal of Engineering Science 48, no. 11 (2010): 1433–39. http://dx.doi.org/10.1016/j.ijengsci.2010.03.005.

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Shen, Fulin, and Xiaochun Song. "Internal Force Analysis of Parabolic Arch Considering Shear Effect under Gradient Temperature." IOP Conference Series: Earth and Environmental Science 631, no. 1 (2021): 012053. http://dx.doi.org/10.1088/1755-1315/631/1/012053.

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Abstract This paper theoretical analysis the internal force of the fixed parabolic arches under radient temperature gradient field incorporating shear deformations. The effective centroid of the arch-section under linear temperature gradient is derived. Based on force method and energy method, the analytical solutions of the internal force of fixed parabolic arches at pre-buckling under linear temperature gradient field are derived. A parameter study was carried out to study the influence of linear temperature gradient on the internal force of the fixed parabolic arches with different rise-spa
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Pan, Zhenyu, Deyuan Deng, Changsheng Feng, et al. "In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient Field." Advances in Civil Engineering 2022 (February 22, 2022): 1–12. http://dx.doi.org/10.1155/2022/8973013.

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In civil engineering, arches, such as steel arch roofs and arch bridges, are often subjected to linear temperature gradient field. It is known that the in-plane instability of parabolic arches is caused by the significant axial force. The arch under the linear temperature gradient field produces complex axial force, and so the instability of arches would be affected by temperature gradient field significantly. However, the analytical solutions of in-plane instability of parabolic arches being subjected to the uniformly distributed vertical load and the temperature gradient field are not solved
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Jones, M. L., and S. Richmond. "An Assessment of the Fit of a Parabolic Curve to Pre- and Post-Treatment Dental Arches." British Journal of Orthodontics 16, no. 2 (1989): 85–93. http://dx.doi.org/10.1179/bjo.16.2.85.

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Study casts of the teeth are routinely used for diagnosis and to assess treatment change: the crowding of the teeth or shortage of space available within the dental arch is usually assessed visually. A full cast analysis program has been developed previously, making use of the three-dimensional Reflex Plotter linked to a computer. This study examines the validity of the fit of computer generated parabolic curves to dental arches, as performed in the measurement of crowding. Using a visual analogue method it was found that the parabola appeared to fit lower post-treatment dental arches best. Ho
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LEE, BYOUNG KOO, TAE EUN LEE, JONG MIN CHOI, and SANG JIN OH. "DYNAMIC OPTIMAL ARCHES WITH CONSTANT VOLUME." International Journal of Structural Stability and Dynamics 12, no. 06 (2012): 1250044. http://dx.doi.org/10.1142/s0219455412500447.

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This paper deals with dynamic optimal arches, built with a constant volume of arch material, that have the largest fundamental natural frequencies. The cross-section of each arch is a solid regular polygon with its depth varying in a functional fashion. Three shapes of arch (circular, parabolic, and sinusoidal) and three kinds of taper type (linear, parabolic, and sinusoidal) are considered. Differential equations governing free vibrations of such tapered arches are derived, in which the effect of rotatory inertia is included; these equations are numerically solved to calculate the natural fre
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Shi, Jun, Kangkang Yang, Kaikai Zheng, Jiyang Shen, Guangchun Zhou, and Yanxia Huang. "AN INVESTIGATION INTO WORKING BEHAVIOR CHARACTERISTICS OF PARABOLIC CFST ARCHES APPLYING STRUCTURAL STRESSING STATE THEORY." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 25, no. 3 (2019): 215–27. http://dx.doi.org/10.3846/jcem.2019.8102.

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This paper conducts the experimental and simulative analysis of stressing state characteristics for parabolic concretefilled steel tubular (CFST) arches undergoing vertical loads. The measured stain data is firstly modeled as the generalized strain energy density (GSED) to describe structural stressing state mode. Then, the normalized GSED sum Ej,norm at each load Fj derives the Ej,norm-Fj curve reflecting the stressing state characteristics of CFST arches. Furthermore, the Mann-Kendall criterion is adopted to detect the stressing state change of the CFST arch during its load-bearing process,
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Lee, Byoung Koo, Sang Jin Oh, Guangfan Li, and Kou Moon Choi. "Free Vibration Analysis of Parabolic Arches in Cartesian Coordinates." International Journal of Structural Stability and Dynamics 03, no. 03 (2003): 377–90. http://dx.doi.org/10.1142/s021945540300094x.

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The differential equations governing free vibrations of the elastic, parabolic arches with unsymmetric axes are derived in Cartesian coordinates rather than in polar coordinates. The formulation includes the effects of axial extension, shear deformation and rotatory inertia. Frequencies and mode shapes are computed numerically for arches with clamped-clamped, clamped-hinged, hinged-clamped and hinged-hinged ends. The convergent efficiency is highly improved under the newly derived differential equations in Cartesian coordinates. The lowest four natural frequency parameters are reported as func
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Wang, Tao, Mark A. Bradford, and R. Ian Gilbert. "Creep Buckling of Shallow Parabolic Concrete Arches." Journal of Structural Engineering 132, no. 10 (2006): 1641–49. http://dx.doi.org/10.1061/(asce)0733-9445(2006)132:10(1641).

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Azad, Abul K., and Hani M. M. Mohdaly. "Optimum design of parabolic steel box arches." Structural Engineering and Mechanics 9, no. 2 (2000): 169–80. http://dx.doi.org/10.12989/sem.2000.9.2.169.

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Fan, Jun Jian, and Kuan Tang Xi. "Out-of-Plane Elastic Stability Analysis of Parabolic and Circular Arches." Applied Mechanics and Materials 638-640 (September 2014): 190–96. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.190.

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Effects of different load modes, rise-span ratios and support conditions on out-of-plane buckling and differences between parabolic and circular arches were studied. With the increase of rise-span ratio, buckling loads of arches under vertical load uniformly distributed along the horizontal line get bigger and bigger compared with those of vertical load uniformly distributed along the axis. With increase of rise-span ratio, the buckling loads of hingeless and two-hinged arch increase after decrease, then decrease. The buckling load of three-hinged arch decreases after increases. When rise-span
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Dissertations / Theses on the topic "Parabolic arches"

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Sadhwani, Lavina H. (Lavina Hemandas) 1976. "Design optimization of parabolic arches subject to non-uniform loads." Thesis, Massachusetts Institute of Technology, 2000. http://hdl.handle.net/1721.1/80955.

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Шишка, Михайло Юрійович, та Mykhaylo Shyshka. "Багатоповерхова житлова будівля з моделюванням склепінь та куполів поверхнями другого порядку". Thesis, Тернопільський національний технічний університет імені Івана Пулюя, 2017. http://elartu.tntu.edu.ua/handle/123456789/19466.

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В дипломній роботі виконано проектування багатоповерхової житлової будівлі із моделюванням склепінь та куполів поверхнями другого порядку з застосуванням конструктивних параметрів.<br>In the thesis work the design of multi-storey residential building with arches and domes modeling quadric using design parameters
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Bulíček, Radek. "Přepočet a variantní návrh ocelové střešní konstrukce zimního stadiónu v Jihlavě." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2014. http://www.nusl.cz/ntk/nusl-226914.

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The aim of the thesis is the assessment of steel structure roofing winter stadium in Jihlava city and design of the variant solution of load bearing steel structure of the roof. The ground plan dimensions are 60 x 84 m The current structure is composite of truss main girders with parabolic lower chords, and purlins . Axial distances of main girders are 12 m and are supported on concrete columns. The alternative proposed solution uses arched truss main girders and truss purlins. They are supported on existing concrete columns. All load bearing members of existing and new design structure – main
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Chen, Tse-Ping, and 陳擇平. "stability analysis and structural steel design of parabolic truss arches." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/46288239795494295521.

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碩士<br>國立臺灣海洋大學<br>河海工程學系<br>96<br>The truss systems are widely used in civil, ocean and aerospace engineering. Most specifications concerning design of such structure mainly focus on preventing from buckling of individual members. This consideration has proven adequate for truss structures under transverse loading, whereas a truss arch subjected to axial compressive force may exhibit overall buckling without inducing local instabilities. Buckling and Postbuckling of arches trusses is the major concern of this study. Analysis is based on geometrically nonlinear finite element method together wi
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Chugh, Smita (Nee Gupta). "Strategising an eco-friendly rural housing alternative using bamboo parabolic infill arches as load bearing elements." Thesis, 2010. http://localhost:8080/xmlui/handle/12345678/3251.

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Book chapters on the topic "Parabolic arches"

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Adam, Christoph, Ivan Paulmichl, and Thomas Furtmüller. "Nonlinear Buckling and Equilibria of Layered Shallow Parabolic Arches with Interlayer Slip." In Advanced Structured Materials. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-43736-6_2.

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Hu, Chang-Fu, and Xiao-Qian Liu. "Closed-Form Solution for In-plane Nonlinear Elastic Buckling of Parabolic Three-Pinned Arches." In Structural Integrity. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-29227-0_11.

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Conference papers on the topic "Parabolic arches"

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Al-kuaity, Adnan. "Ultimate Strength of Parabolic Concrete Arches." In INTERNATIONAL CONFERENCE ON ARCHITECTURAL AND CIVIL ENGINEERING 2020. Cihan University-Erbil, 2021. http://dx.doi.org/10.24086/aces2020/paper.183.

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This investigation is aimed to present a simple analytical approach for predicting the ultimate strength of concrete arch using theory of plasticity. Six models of two-hinged parabolic concrete arches with and without steel reinforcement were tested under concentrated load. The observed behavior of cracking strength and collapse load of the arches tested were compared with those predicted by the analytical procedure proposed here. The arches tested were un-reinforced concrete, lightly reinforced concrete, and concrete with filing iron respectively. A Good agreement is found between the propose
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Järvenpää, Esko, and Arne Jutila. "Ultimate spans and optimal rise relations of steel arches." In IABSE Congress, New York, New York 2019: The Evolving Metropolis. International Association for Bridge and Structural Engineering (IABSE), 2019. http://dx.doi.org/10.2749/newyork.2019.0990.

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&lt;p&gt;Arched structures have been in use more than three thousand years. The span length of the arch in bridge construction has already exceeded 550 meters. Even longer arch bridges have been designed. The development of arch structures has not been as fast as in cable-stayed bridges during the resent 30 years, when cable-stayed bridges have reached spans more than 1100 m. However, arch structures are becoming more common, especially in bridges.&lt;/p&gt;&lt;p&gt;The purpose of this paper is to arouse interest in arch structures as well as to open up basic issues related to optimal arch des
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Kalapodis, Nicos, Georgios Kampas, Thomas McLean, and Christian Malaga-Chuquitaype. "COMPARISON OF THE EFFICIENCY OF MINIMUM-THICKNESS CIRCULAR AND PARABOLIC ARCHES FOR VARIOUS GRAVITY CONDITIONS." In 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering. Institute of Structural Analysis and Antiseismic Research National Technical University of Athens, 2021. http://dx.doi.org/10.7712/120121.8787.19608.

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Romeo, Francesco, Egidio Lofrano, and Achille Paolone. "Damage Identification in a Parabolic Arch via Orthogonal Empirical Mode Decomposition." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35529.

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Localized damage in a parabolic arch is identified by combining a time-frequency vibration signals processing technique and modal-based properties. The approach is devised to detect and locate damaged areas in the structure from its free vibrations and relies on the comparison between information gathered for the undamaged and damaged states. The non-stationary acceleration data are decomposed by applying the orthogonal empirical mode decomposition to derive the orthogonal intrinsic mode functions. The latter provide a multi-frequency basis enabling to build “pseudo-modes” based on which a new
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Boykov, Aleksey Aleksandrovich. "Constructive Geometry of some Algebraic Curves Represented by Splines in CAD." In 33rd International Conference on Computer Graphics and Vision. Keldysh Institute of Applied Mathematics, 2023. http://dx.doi.org/10.20948/graphicon-2023-758-770.

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The problem of representing segments of some algebraic curves (curves of the second order and cubic parabolas) is solved using spline curves of CAD systems – Bezier curves and rational splines. Algorithms are being developed for constructing curves, mainly cubic parabolas, according to given conditions in the representation by Bezier curves of 3rd order. The concepts of special pencils of cubic parabolas of the first and second kind are introduced, their properties and application to the construction of cubic parabolas are shown. A way to representing cubic splines in a CAD system is proposed.
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Feng, Pin-Hao, Faydor L. Litvin, Dennis P. Townsend, and Robert F. Handschuh. "Determination of Principal Curvatures and Contact Ellipse for Profile Crowned Helical Gears." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/ptg-5778.

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Abstract Helical gears with localized bearing contact of tooth surfaces achieved by profile crowning of tooth surfaces are considered. Profile crowning is analyzed through the use of two imaginary rack-cutters with mismatched surfaces. The goal is to determine the dimensions and orientation of the instantaneous contact ellipse from the principle curvatures of the pinion and gear tooth surfaces. A simplified solution to this problem is proposed based on the approach developed for correlation of principal curvatures and directions of generating and generated tooth surfaces. The equations obtaine
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Oloumi, Faraz, Rangaraj M. Rangayyan, and Anna L. Ells. "Dual-parabolic modeling of the superior and the inferior temporal arcades in fundus images of the retina." In 2011 IEEE International Symposium on Medical Measurements and Applications (MeMeA). IEEE, 2011. http://dx.doi.org/10.1109/memea.2011.5966784.

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Grimm, Tyler J., Nilesh Ashok Kharat, Nils Potthoff, Laine Mears, and Petra Wiederkehr. "Stability Performance of a Stochastic Toolpath in Machining." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-69264.

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Abstract The overall quality and efficiency of a machined part relies heavily on the tool path that is used. A more recently developed toolpath method is known as trochoidal milling, which is also known by several other terms, such as adaptive milling, circular milling, or volume clearing. In order to follow the contours of the final geometry, this path can give rise to a significant number of direction changes, which result in highly variable force directions on the tool. Chatter, or self-excited vibration that occurs at the tool or workpiece, can therefore be mitigated or avoided since perio
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Baghaturia, Giorgi, and Marine Menteshashvili. "On the Numerical Solution of the Characteristic Problem for one Quasi-Linear Equation." In International Conference on Computer Science and Information Technologies. The University of Georgia, 2024. https://doi.org/10.62343/csit.2024.13.

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For linear differential equations solving the Goursat problem means to find a solution to the equation by given values on arcs of characteristics of different families. These arcs have one common point and their tangents are different at this point. As for nonlinear equations, families of characteristic curves depend on the sought solution and therefore are unknown in advance. For that reason, it is impossible to pose the characteristic problem (analogue of Goursat problem) for a nonlinear equation in the same way we do it for a linear one. In this paper we present a numerical method to solve
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Martin, H. M., D. S. Anderson, J. R. P. Angel, and S. C. West. "Stressed-lap polishing of large aspheric mirrors." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.wc5.

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The stressed-lap polishing technique has been developed to figure large, highly aspheric mirrors for optical and infrared telescopes. The Steward Observatory Mirror Laboratory plans to cast and polish lightweight honeycomb sandwich mirrors up to 8.4-m diameter, with focal ratios as fast as 1.14. These mirrors must be figured to an accuracy corresponding to better than 0.1 arcsec FWHM image quality. Three primary mirrors have been cast at 1.8-m diameter and three at 3.5-m diameter, and two of these are being polished with stressed laps: a 1.8-m f/1.0 ellipsoid for the Vatican Advanced Technolog
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