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1

Yu, Wenbin, Vitali V. Volovoi, Dewey H. Hodges, and Xianyu Hong. "Validation of the Variational Asymptotic Beam Sectional Analysis." AIAA Journal 40, no. 10 (2002): 2105–12. http://dx.doi.org/10.2514/2.1545.

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2

Yoon, Ri-Kyoung, and Chang-Young Lee. "Optimal Beam Theory through Dynamic Variational-Asymptotic Procedure." Journal of Power System Engineering 24, no. 4 (2020): 36–44. http://dx.doi.org/10.9726/kspse.2020.24.4.036.

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3

Yu, W., V. Volovoi, D. H. Hodges, and X. Hong. "Validation of the variational asymptotic beam sectional analysis." AIAA Journal 40 (January 2002): 2105–12. http://dx.doi.org/10.2514/3.15301.

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4

Yu, Wenbin, Dewey H. Hodges, and Jimmy C. Ho. "Variational asymptotic beam sectional analysis – An updated version." International Journal of Engineering Science 59 (October 2012): 40–64. http://dx.doi.org/10.1016/j.ijengsci.2012.03.006.

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5

Barchiesi, Emilio, and Sergei Khakalo. "Variational asymptotic homogenization of beam-like square lattice structures." Mathematics and Mechanics of Solids 24, no. 10 (2019): 3295–318. http://dx.doi.org/10.1177/1081286519843155.

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By means of variational asymptotic homogenization, using Piola’s meso-macro ansatz, we derive the linear Timoshenko beam as the macro-scale limit of a meso-scale beam-like periodic planar square lattice structure. By considering benchmarks in statics and dynamics, meso-to-macro convergence is numerically analyzed. At the finest micro-scale, a 2D assembly of elastic, geometrically linear, isotropic and homogeneous Cauchy continua in plane strain with different material parameters is considered. Using this description, we calibrate the meso-scale model using standard methodology and, by exploiti
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6

Yu, Wenbin, and Dewey H. Hodges. "Generalized Timoshenko Theory of the Variational Asymptotic Beam Sectional Analysis." Journal of the American Helicopter Society 50, no. 1 (2005): 46–55. http://dx.doi.org/10.4050/1.3092842.

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7

Hodges, Dewey H. "Unified Approach for Accurate and Efficient Modeling of Composite Rotor Blade Dynamics The Alexander A. Nikolsky Honorary Lecture." Journal of the American Helicopter Society 60, no. 1 (2015): 1–28. http://dx.doi.org/10.4050/jahs.60.011001.

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Herein is described the development of a unified approach, which spans several decades and facilitates accurate and efficient modeling of composite helicopter rotor blades for loads, dynamics, aeroelasticity, and stress recovery. The approach achieves accuracy comparable to that of three-dimensional finite element analysis but with significant savings in computational effort. The basis for this approach is a mathematical technique called the variational asymptotic method. This paper summarizes the modeling approach and presents some of the key equations of the resulting analyses. Examples are
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8

Yu, Wenbin, and Dewey H. Hodges. "Elasticity Solutions Versus Asymptotic Sectional Analysis of Homogeneous, Isotropic, Prismatic Beams." Journal of Applied Mechanics 71, no. 1 (2004): 15–23. http://dx.doi.org/10.1115/1.1640367.

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The original three-dimensional elasticity problem of isotropic prismatic beams has been solved analytically by the variational asymptotic method (VAM). The resulting classical model (Euler-Bernoulli-like) is the same as the superposition of elasticity solutions of extension, Saint-Venant torsion, and pure bending in two orthogonal directions. The resulting refined model (Timoshenko-like) is the same as the superposition of elasticity solutions of extension, Saint-Venant torsion, and both bending and transverse shear in two orthogonal directions. The fact that the VAM can reproduce results from
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9

Jang, Jun Hwan, and Jae Hoon Kim. "EXPERIMENTAL VERIFICATION OF COUPLED STIFFNESS MATRIX IN MULTILAYER COMPOSITE STRUCTURE WITH COMPLEX CURVATURE." International Journal of Modern Physics: Conference Series 06 (January 2012): 634–39. http://dx.doi.org/10.1142/s2010194512003893.

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The paper presents an experimental verification for calculating coupled stiffness matrix in complex curvature composite structure. The results of the analytical procedure using Variational Asymptotic Beam Sectional Analysis also indicate that the calculation of 2-D, beam, cross-sectional properties can then be incorporated into and 1-D beam analysis expressed coupled stiffness matrix. This paper presents the 2-D cross-sectional analysis of active anisotropic beams. Comparison between the analytical and experimental results shows that the proposed analytical procedure can provide an accurate an
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10

Niu, J. C., C. W. Lim, and A. Y. T. Leung. "Third-order non-local beam theories for the analysis of symmetrical nanobeams." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 10 (2009): 2451–63. http://dx.doi.org/10.1243/09544062jmes1501.

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This article presents formulation of third-order non-local beam theories based on Eringen's non-local continuum theory and the Reddy and Leung higher-order beam models for bending, buckling, and vibration of nanobeams. By applying the variational principle, an asymptotic governing differential equation of infinite-order strain gradients is derived and subsequently the governing equation of motion of the nanobeams is obtained. For practical applications, the Navier solutions of the asymptotic non-local model are presented and discussed. Bending, buckling, and vibration of nanobeams with simply
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11

Lalin, Vladimir, and Daria Kushova. "Correct Formulation of the Stability Problem for Timoshenko Beam." Applied Mechanics and Materials 725-726 (January 2015): 854–62. http://dx.doi.org/10.4028/www.scientific.net/amm.725-726.854.

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This article is about the nonlinear problems of the theory of elastic Cosserat – Timoshenko’s rods in the material (Lagrangian) description with energy conjugated vectors of forces, moments and strains. The variational formulations of static problems was given. The differential equations of the plane stability problems were obtained from the second variation of the Lagrangian functional. The exact solutions of the stability problems for basic types of the end fixities of the rod were obtained for the Timoshenko’s rod (taking into account only bending and shear stiffness). It appears that class
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12

FARROKHZAD, F., P. MOWLAEE, A. BARARI, A. J. CHOOBBASTI, and H. D. KALIJI. "Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods." Carpathian Journal of Mathematics 27, no. 1 (2011): 51–63. http://dx.doi.org/10.37193/cjm.2011.01.08.

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The beam deformation equation has very wide applications in structural engineering. As a differential equation, it has its own problem concerning existence, uniqueness and methods of solutions. Often, original forms of governing differential equations used in engineering problems are simplified, and this process produces noise in the obtained answers. This paper deals with solution of second order of differential equation governing beam deformation using four analytical approximate methods, namely the Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM) and Optimal Homotopy A
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13

Rafiee, M., F. Nitzsche, and M. R. Labrosse. "Cross-Sectional Design and Analysis of Multiscale Carbon Nanotubes-Reinforced Composite Beams and Blades." International Journal of Applied Mechanics 10, no. 03 (2018): 1850032. http://dx.doi.org/10.1142/s1758825118500321.

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The present work addresses with the cross-sectional design and analysis of fiber-reinforced multiscale composite beams of general cross-sectional shape and arbitrary anisotropic material properties and investigates the effect of carbon nanotubes (CNTs) on their stiffness properties. The three-dimensional strain field was formulated in terms of one-dimensional strains and a three-dimensional warping displacement. The bulk material properties of the multiscale composite were predicted using Halpin–Tsai equations and fiber micromechanics. The carbon nanotubes were assumed to be uniformly distribu
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14

Ren, Yong Sheng, Shu Lian Yang, Ting Riu Liu, and Xiao Hui Wang. "Coupled Deflection Analysis of SMA Fiber Hybrid Composite Active Blade." Advanced Materials Research 79-82 (August 2009): 1455–58. http://dx.doi.org/10.4028/www.scientific.net/amr.79-82.1455.

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The constitutive equations relating cross-sectional loads(forces and moments)to cross-sectional displacements(stretching, bending, twisting) of thin-walled laminated beams with integral shape memory alloy (SMA)active fibers was presented. The variational asymptotic method was used to formulate the force- deformation relationships equations, accounting for the presence of active SMA fibers distributed along the cross-section of the beam. The constitutive relationships for evaluation of the properties of a hybrid SMA composite ply were obtained following the rule of mixtures. The analytical expr
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15

Elishakoff, Isaac, Florian Hache, and Noël Challamel. "Critical Comparison of Bresse–Timoshenko Beam Theories for Parametric Instability in the Presence of Pulsating Load." International Journal of Structural Stability and Dynamics 19, no. 02 (2019): 1950006. http://dx.doi.org/10.1142/s0219455419500068.

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In this paper, we investigate parametric instability of Bresse–Timoshenko columns subjected to periodic pulsating compressive loads. The results are derived from three theories, namely the Bernoulli–Euler model for thin beams and two versions of the Bresse–Timoshenko model valid for thick beams: The truncated Bresse–Timoshenko model and the Bresse–Timoshenko model based on slope inertia. The truncated Bresse–Timoshenko model has been derived from asymptotic analysis, whereas the Bresse–Timoshenko model based on slope inertia is an alternative shear beam model supported by variational arguments
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16

Shang, Lina, Pinqi H. Xia, and Dewey H. Hodges. "Aeroelastic Response Analysis of Composite Blades Based on Geometrically Exact Beam Theory." Journal of the American Helicopter Society 64, no. 2 (2019): 1–14. http://dx.doi.org/10.4050/jahs.64.022007.

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The geometrically exact nonlinear beam theory consisting of the latest version of two-dimensional variational asymptotic beam sectional analysis (VABS) and one-dimensional geometrically exact beam theory (GEBT) has been widely used for the structural analysis of composite beam structures. The theory can be used for establishing the aeroelastic model of composite blades undergoing large deflections to improve computational accuracy and efficiency. In this paper, the theory has been extended from structural analysis to aeroelastic analysis of blade, and an accurate and efficient method for aeroe
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17

Choi, Dong-Kuk, Bong-Do Pyeon, Soo-Yong Lee, Hak-Gu Lee, and Jae-Sung Bae. "Structural Design, Analysis, and Testing of a 10 kW Fabric-Covered Wind Turbine Blade." Energies 13, no. 12 (2020): 3276. http://dx.doi.org/10.3390/en13123276.

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Reducing the weight of a wind turbine blade is a major issue. Wind turbines have become larger in size to increase power generating efficiency. The blade has also grown in length to take more wind energy. A fabric-based wind turbine blade, introduced by General Electric Co., reduced the blade weight. In this study, a small fabric-covered blade for a 10 kW wind turbine was developed to verify structural ability. The blade was designed on the cross-section using variational asymptotic beam sectional analysis (VABS), structural analysis was carried out using MSC.Nastran for the design loads. A mo
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18

Yu, Wenbin, and Dewey H. Hodges. "Errata: Generalized Timoshenko Theory of the Variational Asymptotic Beam Sectional Analysis [Journal of the American Helicopter Society Vol. 50, No. 1, January 2005, pp. 46–55]." Journal of the American Helicopter Society 50, no. 3 (2005): 289. http://dx.doi.org/10.4050/1.3092865.

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19

Cesnik, Carlos E. S., and Dewey H. Hodges. "Variational-Asymptotical Analysis of Initially Curved and Twisted Composite Beams." Applied Mechanics Reviews 46, no. 11S (1993): S211—S220. http://dx.doi.org/10.1115/1.3122638.

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An asymptotically exact methodology, based on geometrically nonlinear, three-dimensional elasticity, is presented for cross-sectional analysis of initially curved and twisted, nonhomogeneous, anisotropic beams. Through accounting for all possible deformation in the three-dimensional representation, the analysis correctly accounts for the complex elastic coupling phenomena in anisotripic beams associated with shear deformation. The analysis is subject only to the restrictions that the strain is small relative to unity and that the maximum dimension of the cross section is small relative to the
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20

Shen, Jinwei, Yi Liu, Robert P. Thornburgh, Andrew R. Kreshock, and Matthew L. Wilbur. "Design and optimisation of an aerofoil with active continuous trailing-edge flap." Aeronautical Journal 120, no. 1231 (2016): 1468–86. http://dx.doi.org/10.1017/aer.2016.62.

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ABSTRACTThis paper presents the design and optimisation of an aerofoil with active continuous trailing-edge flap (CTEF) investigated as a potential rotorcraft active control device. Several structural cross-section models are developed: high-fidelity NASA STRucture ANalysis (NASTRAN) and University of Michigan/Variational Asymptotic Beam Section Code (UM/VABS) models and a reduced-order analysis model. The validation of the reduced-order model is established by comparing its predictions of CTEF deformations with those of NASTRAN and UM/VABS analyses, which both show good agreement. The 2D aero
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21

Jiang, Fang, and Wenbin Yu. "Nonlinear Variational Asymptotic Sectional Analysis of Hyperelastic Beams." AIAA Journal 54, no. 2 (2016): 679–90. http://dx.doi.org/10.2514/1.j054334.

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22

Lee, Chang-Yong, and Wenbin Yu. "Variational asymptotic modeling of composite beams with spanwise heterogeneity." Computers & Structures 89, no. 15-16 (2011): 1503–11. http://dx.doi.org/10.1016/j.compstruc.2011.04.015.

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23

Ren, Yong Sheng, Xiang Hong Du, and Wen Li Yao. "On the Modeling of Coupled Vibration of Rotating Thin-Walled Closed-Section Composite Beams." Applied Mechanics and Materials 26-28 (June 2010): 758–63. http://dx.doi.org/10.4028/www.scientific.net/amm.26-28.758.

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The free vibration model of a rotating composite thin-walled closed-section beams is presented in this paper. The two-dimensional cross-sectional analysis based on the variational-asymptotical method(VAM) is combined with the Hamilton’s principle to derive the equations of motion and associated boundary conditions of the beams. The Galerkin method is employed in order to solve the coupled differential equations. The natural frequency results obtained for the present model are compared with those of the existing models. Numerical results are obtained for the laminated composite cantilevered box
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24

Sachdeva, Chirag, and Srikant S. Padhee. "Analysis of Bidirectionally Graded Cylindrical Beams Using Variational Asymptotic Method." AIAA Journal 57, no. 10 (2019): 4169–81. http://dx.doi.org/10.2514/1.j057562.

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25

Wang, Qi, and Wenbin Yu. "A variational asymptotic approach for thermoelastic analysis of composite beams." Advances in aircraft and spacecraft science 1, no. 1 (2014): 93–123. http://dx.doi.org/10.12989/aas.2014.1.1.093.

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26

Wang, Qi, and Wenbin Yu. "Variational-asymptotic modeling of the thermoelastic behavior of composite beams." Composite Structures 93, no. 9 (2011): 2330–39. http://dx.doi.org/10.1016/j.compstruct.2011.03.021.

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27

Pavan, G. S., S. Keshava Kumar, and K. S. Nanjunda Rao. "Bending analysis of laminated beams using isogeometric variational asymptotic method." International Journal of Advances in Engineering Sciences and Applied Mathematics 12, no. 1-2 (2020): 27–38. http://dx.doi.org/10.1007/s12572-020-00264-8.

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28

Mitrokhin, Sergey I. "On the study of the spectral properties of differential operators with a smooth weight function". Russian Universities Reports. Mathematics, № 129 (2020): 25–47. http://dx.doi.org/10.20310/2686-9667-2020-25-129-25-47.

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In this paper we study the spectral properties of a third-order differential operator with a summable potential with a smooth weight function. The boundary conditions are separated. The method of studying differential operators with summable potential is a development of the method of studying operators with piecewise smooth coefficients. Boundary value problems of this kind arise in the study of vibrations of rods, beams and bridges composed of materials of different densities. The differential equation defining the differential operator is reduced to the solution of the Volterra integral equation by
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29

Kingsley, Michael C. S., John A. Nagy, and Harry V. Reynolds. "Growth in length and weight of northern brown bears: differences between sexes and populations." Canadian Journal of Zoology 66, no. 4 (1988): 981–86. http://dx.doi.org/10.1139/z88-145.

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Growth curves were fitted to data on age, length, and spring weight for individuals from three populations of the brown bear, Ursus arctos, in northern Canada and northwest Alaska. Females reached 90% of asymptotic length before sexual maturity and before the age of first production. Their weight remained approximately in proportion to the cube of their length. Males reached 90% of asymptotic length 0.7 to 1.7 years later than females, and had asymptotic lengths 10–15% greater. Males continued their growth in weight even longer, and reached asymptotic weights 80–100% greater than females. Vari
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30

Kovvali, Ravi Kumar, and Dewey H. Hodges. "Verification of Variational–Asymptotic Sectional Analysis for Initially Curved and Twisted Beams." Journal of Aircraft 53, no. 3 (2016): 878–80. http://dx.doi.org/10.2514/1.c033214.

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31

Pagui, A. D., A. E. Foudjet, J. S. T. Mabekou, T. R. S. N. Ekoume, and P. K. Talla. "The Contribution to the Development of a Two-Dimensional Asymptotic Theory of the Three-Point Bending Behaviour of Multi-Layered Beams: Applications to Orthotropic Phase Sandwich Beams." European Journal of Engineering Research and Science 5, no. 10 (2020): 1191–98. http://dx.doi.org/10.24018/ejers.2020.5.10.2168.

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The objective of this work is to present a methodology for analyzing the behavior in bending of the structure of sandwich beams base on the second order of asymptotic method. This work is in continuation with the work of Talla [1]. This work includes the knowledge of all the physical elastic constant of the sandwich beams. This result confirms the fact that the second order of asymptotic method doesn’t bring a significative change in the behavior of the solution until a certain point. The curves have been obtained by the software named python. This result was predictable because the asymptotic
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32

Ren, Yong Sheng, Shuang Shuang Sun, and Chun Jin Zhang. "Nonlinear Natural Frequencies of Rotating Composite Thin-Walled Beam with Geometrical Nonlinear." Advanced Materials Research 683 (April 2013): 779–82. http://dx.doi.org/10.4028/www.scientific.net/amr.683.779.

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The nonlinear governing equations of motion for the rotating composite thin-walled beam are derived using Hamilton’s energy principle and variational-asymptotical method (VAM) on the basis of von Karman’s assumption. The nonlinear vibration of the beam is studied using Galerkin method and harmonic balance method. The large amplitude free vibration of the beam can be expressed as a nonlinear eigenvalue problem and solved using an iterative solution procedure. Numerical results are obtained for Circumferentially Uniform Stiffness (CUS )laminated composite configuration thin-walled beam. The stud
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33

Kovvali, Ravi Kumar, and Dewey H. Hodges. "Verification of the Variational-Asymptotic Sectional Analysis for Initially Curved and Twisted Beams." Journal of Aircraft 49, no. 3 (2012): 861–69. http://dx.doi.org/10.2514/1.c031539.

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34

Rajagopal, Anurag, and Dewey H. Hodges. "Minimization of the total potential energy using variational-asymptotic warping solutions for beams." Mathematics and Mechanics of Solids 24, no. 6 (2018): 1782–84. http://dx.doi.org/10.1177/1081286518806019.

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35

Ghorashi, Mehrdaad. "Nonlinear static and stability analysis of composite beams by the variational asymptotic method." International Journal of Engineering Science 128 (July 2018): 127–50. http://dx.doi.org/10.1016/j.ijengsci.2018.03.011.

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36

Kieri, Emil, Gunilla Kreiss, and Olof Runborg. "Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations." Advances in Applied Mathematics and Mechanics 7, no. 6 (2015): 687–714. http://dx.doi.org/10.4208/aamm.2013.m411.

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AbstractIn the semiclassical regime, solutions to the time-dependent Schrödinger equation for molecular dynamics are highly oscillatory. The number of grid points required for resolving the oscillations may become very large even for simple model problems, making solution on a grid intractable. Asymptotic methods like Gaussian beams can resolve the oscillations with little effort and yield good approximations when the atomic nuclei are heavy and the potential is smooth. However, when the potential has variations on a small length-scale, quantum phenomena become important. Then asymptotic metho
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37

Fang, Yunmei, Juntao Fei, and Tongyue Hu. "Adaptive backstepping fuzzy sliding mode vibration control of flexible structure." Journal of Low Frequency Noise, Vibration and Active Control 37, no. 4 (2018): 1079–96. http://dx.doi.org/10.1177/1461348418767097.

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An adaptive backstepping fuzzy sliding mode control is proposed to approximate the unknown system dynamics for a cantilever beam in this paper. The adaptive backstepping fuzzy sliding mode control is developed by combining the backstepping method with adaptive fuzzy strategy, where backstepping design approach is used to drive the trajectory tracking errors to converge to zero rapidly with global asymptotic stability and fuzzy logic system is designed to approximate the unknown nonlinear function in the adaptive backstepping fuzzy sliding mode control. The proposed backstepping controllers can
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38

Usman, Muhammad, Shaaban Abdallah, and Mudassar Imran. "Nonlinear and Stability Analysis of a Ship with General Roll-Damping Using an Asymptotic Perturbation Method." Mathematical and Computational Applications 26, no. 2 (2021): 33. http://dx.doi.org/10.3390/mca26020033.

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In this work, the response of a ship rolling in regular beam waves is studied. The model is one degree of freedom model for nonlinear ship dynamics. The model consists of the terms containing inertia, damping, restoring forces, and external forces. The asymptotic perturbation method is used to study the primary resonance phenomena. The effects of various parameters are studied on the stability of steady states. It is shown that the variation of bifurcation parameters affects the bending of the bifurcation curve. The slope stability theorems are also presented.
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39

Harursampath, Dineshkumar, Ajay B. Harish, and Dewey H. Hodges. "Model reduction in thin-walled open-section composite beams using variational asymptotic method. Part I: Theory." Thin-Walled Structures 117 (August 2017): 356–66. http://dx.doi.org/10.1016/j.tws.2017.03.018.

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40

Harursampath, Dineshkumar, Ajay B. Harish, and Dewey H. Hodges. "Model reduction in thin-walled open-section composite beams using Variational Asymptotic Method. Part II: Applications." Thin-Walled Structures 117 (August 2017): 367–77. http://dx.doi.org/10.1016/j.tws.2017.03.021.

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41

Nguyen, Chi Quoc, and Hung Nguyen. "Adaptive control for a rewinding process of a roll-to-roll system." Science and Technology Development Journal 18, no. 3 (2015): 16–27. http://dx.doi.org/10.32508/stdj.v18i3.868.

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In this paper, transverse vibration and transport velocity controls of a moving web in a rewinding section of a roll to roll system are investigated. The moving web is modeled as an axially moving beam. Two independent adaptive control schemes are proposed. The first control scheme using a control force exerted from a hydraulic actuator is to suppress transverse vibrations of the moving web of unknown mass per unit length under a spatially varying tension and a time-varying transport velocity. The second control scheme using a control torque applied to the rewind roller is to maintain the tran
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42

Huang, Xu-hao, Jian Yang, Iftikhar Azim, Xing-er Wang, and Xin Ren. "Geometric Non-Linear Analysis of Auxetic Hybrid Laminated Beams Containing CNT Reinforced Composite Materials." Materials 13, no. 17 (2020): 3718. http://dx.doi.org/10.3390/ma13173718.

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In the current work, a novel hybrid laminate with negative Poisson’s ratio (NPR) is developed by considering auxetic laminate which is composed of carbon nanotube-reinforced composite (CNTRC) and fiber-reinforced composite (FRC) materials. The maximum magnitude of out-of-plane NPR is identified in the case of (20 F/20 C/−20 C/20 C) S laminate as well. Meanwhile, a method for the geometric non-linear analysis of hybrid laminated beam with NPR including the non-linear bending, free, and forced vibrations is proposed. The beam deformation is modeled by combining higher-order shear-deformation the
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43

Pilbeam, C. J. "Variation in harvest index of maize (Zea mays) and common bean (Phaseolus vulgaris) grown in a marginal rainfall area of Kenya." Journal of Agricultural Science 126, no. 1 (1996): 1–6. http://dx.doi.org/10.1017/s0021859600088754.

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SUMMARYMaize (Zea mays L.) and common bean (Phaseolus vulgaris L.) were grown in five seasons, beginning in the long rains 1990 and ending in the short rains 1992, at Kiboko, Kenya under a range of different management conditions (N fertilization, irrigation, population density and intercropping). Seed weight was plotted against total dry weight to determine harvest index for both crops. For bean the intercept of this relationship for each experiment, with one exception, was not significantly different from zero, so that the slopes of the regressions were the harvest indices. Harvest indices f
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44

Zoltick, Jerel M., Irwin M. Feuerstein, Michael P. Brazaitis, Mark A. Vaitkus, and William F. Barko. "Electron Beam Computed Tomography Detects Coronary Artery Disease in Fit Asymptomatic Middle-Aged Individuals." Circulation 103, suppl_1 (2001): 1355. http://dx.doi.org/10.1161/circ.103.suppl_1.9998-25.

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P25 Electron Beam Computed Tomography (EBCT) is used to detect coronary artery calcification (CAC), a marker of atherosclerosis. The EBCT was used to determine the presence of CAC in a population of very fit individuals. EBCT determined the calcification scores in 436 asymptomatic individuals (400 males 36 females, mean age 43.5±3.2 yrs, range 33 to 56 yrs). All underwent extensive cardiovascular and fitness evaluations including medical, fitness and nutritional histories; lipid profiles, fasting blood sugars, homocysteine, and lipoprotein(a) levels. Individuals underwent a physical examinatio
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45

Mahoney, Shane P., John A. Virgl, and Kim Mawhinney. "Potential mechanisms of phenotypic divergence in body size between Newfoundland and mainland black bear populations." Canadian Journal of Zoology 79, no. 9 (2001): 1650–60. http://dx.doi.org/10.1139/z01-122.

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Phenotypic variation in body size and degree of sexual size dimorphism of North American black bears (Ursus americanus) was quantified for populations from New Brunswick, Quebec, Ontario, Maine, Alaska, and the island of Newfoundland. Based on a model of island biogeography developed by Case, we predicted that body size should be larger in Newfoundland bears than in mainland populations. The presence of few large predators and minimal competition between herbivore prey on Newfoundland allow an appropriate test of the model (i.e., food availability for bears may differ between populations on th
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Na, Y. H., J. H. Kim, and S. J. Shin. "Vibration analyses of an equivalent plate wing with an external store." Aeronautical Journal 118, no. 1207 (2014): 1090–98. http://dx.doi.org/10.1017/s0001924000009763.

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Generally, pylon-mounted external stores significantly affect the aerodynamic characteristics of the aircraft due to their flexibility. Therefore, many investigations upon the dynamic and aeroelastic characteristics of an aircraft wing with external stores have been done over the last few decades Recently, a study was carried out regarding the aeroelastic effects on wings by the engine placement For severe operation conditions, classical linear theory with a small amount of amplitude vibration may not be an appropriate analysis. Nonlinear vibration analysis will be required, especially when th
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Mettus, Denis, and Andreas Michels. "Small-angle neutron scattering correlation functions of bulk magnetic materials." Journal of Applied Crystallography 48, no. 5 (2015): 1437–50. http://dx.doi.org/10.1107/s1600576715013187.

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On the basis of the continuum theory of micromagnetics, the correlation function of the spin-misalignment small-angle neutron scattering cross section of bulk ferromagnets (e.g.elemental polycrystalline ferromagnets, soft and hard magnetic nanocomposites, nanoporous ferromagnets, or magnetic steels) is computed. For such materials, the spin disorder which is related to spatial variations in the saturation magnetization and magnetic anisotropy field results in strong spin-misalignment scattering dΣM/dΩ along the forward direction. When the applied magnetic field is perpendicular to the incoming
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Sharawy, Wael Waheed, and Hany Mohamed Aly Ahmed. "Endodontic Management of a Three Rooted Mandibular Third Molar with a Dilacerated Distal Root and Close Approximation to the Inferior Alveolar Canal: A Case Report." International Dental Research 7, no. 2 (2017): 42. http://dx.doi.org/10.5577/intdentres.2017.vol7.no2.4.

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Aim: A thorough understanding of root and canal anatomical variations is essential for achieving successful endodontic treatment. Literature continues to demonstrate complex root and canal anatomical variations in mandibular third molars which are sometimes in close approximation to the inferior alveolar canal.
 Methodology: A 26-year-old male patient was referred for endodontic treatment of a three-rooted mandibular third molar with a dilacerated distal root and close approximation to the inferior alveolar canal. A cone beam computed tomography was performed to assess the root and canal
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Vinothkumar, Thilla S., Deivanayagam Kandaswamy, Ganesh Arathi, Sathishkumar Ramkumar, and Gnanasekaran Felsypremila. "Endodontic Management of Dilacerated Maxillary Central Incisor fused to a Supernumerary Tooth using Cone Beam Computed Tomography: An Unusual Clinical Presentation." Journal of Contemporary Dental Practice 18, no. 6 (2017): 522–26. http://dx.doi.org/10.5005/jp-journals-10024-2077.

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ABSTRACT Aim The purpose of this report is to present a case of endodontic management of a dilacerated maxillary central incisor fused to supernumerary tooth unusually appearing as a labial tubercle using cone beam computed tomography (CBCT) as a diagnostic aid. Background Anterior teeth are commonly encountered with aberrant anatomical variations in the crown, number of roots, and root canals. Fusion is an infrequent developmental abnormality in shape of the tooth caused by the union of two adjacent tooth germs. A complete knowledge of such complex anatomies is mandatory for a successful root
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Bhatti, Muhammad Mubashir, and Dong-Qiang Lu. "An application of Nwogu’s Boussinesq model to analyze the head-on collision process between hydroelastic solitary waves." Open Physics 17, no. 1 (2019): 177–91. http://dx.doi.org/10.1515/phys-2019-0018.

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AbstractThis article deals with the nonlinear head-on collision between two hydroelastic solitary waves in plate–covered water with Nwogou’s Boussinesq model for the nonlinear fluid motion. This model contains a parameter α that is associated with horizontal velocities according to the chosen level of horizontal velocity variables. A thin elastic cover is considered as the Euler–Bernoulli beam model. To derive the series solution, we apply the Poincaré–Lighthill–Kuo (PLK) method to solve analytically the highly nonlinear coupled partial differential equations. The impact of all the physical pa
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