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Effect of Three-dimensional Warping on Stiffness Constants of Closed Section Composite Beams

  • Dhadwal, Manoj Kumar;Jung, Sung Nam
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.3
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    • pp.467-473
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    • 2017
  • This paper focuses on the investigation of three-dimensional (3D) warping effect on the stiffness constants of composite beams with closed section profiles. A finite element (FE) cross-sectional analysis is developed based on the Reissner's multifield variational principle. The 3D in-plane and out-of-plane warping displacements, and sectional stresses are approximated as linear functions of generalized sectional stress resultants at the global level and as FE shape functions at the local sectional level. The classical elastic couplings are taken into account which include transverse shear and Poisson deformation effects. A generalized Timoshenko level $6{\times}6$ stiffness matrix is computed for closed section composite beams with and without warping. The effect of neglecting the 3D warping on stiffness constants is shown to be significant indicating large errors as high as 93.3%.

General Purpose Cross-section Analysis Program for Composite Rotor Blades

  • Park, Il-Ju;Jung, Sung-Nam;Kim, Do-Hyung;Yun, Chul-Yong
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.2
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    • pp.77-85
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    • 2009
  • A two-dimensional cross-section analysis program based on the finite element method has been developed for composite blades with arbitrary cross-section profiles and material distributions. The modulus weighted approach is used to take into account the non-homogeneous material characteristics of advanced blades. The CLPT (Classical Lamination Plate Theory) is applied to obtain the effective moduli of the composite laminate. The location of shear center for any given cross-sections are determined according to the Trefftz' definition while the torsion constants are obtained using the St. Venant torsion theory. A series of benchmark examples for beams with various cross-sections are illustrated to show the accuracy of the developed cross-section analysis program. The cross section cases include thin-walled C-channel, I-beam, single-cell box, NACA0012 airfoil, and KARI small-scale blades. Overall, a reasonable correlation is obtained in comparison with experiments or finite element analysis results.

Development of Program for Modeling of Cross Section of Composite Rotor Blade (복합재료 로터 블레이드 단면 모델링 프로그램 개발)

  • Do, Hyung-Soo;Cho, Jin-Yeon;Park, Il-Ju;Jung, Sung-Nam;Kim, Tae-Joo;Kim, Do-Hyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.3
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    • pp.261-268
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    • 2011
  • Generally, modeling procedure of cross section of composite rotor blade is complicated and time-consuming, because it is made up of various stiffeners and multiple layers of composite materials. For efficient modeling of cross section of composite rotor blade, a modeling program so called KSec2D, which provides a user friendly GUI, is developed by using a 2D modeling algorithm based on set operation. By the developed program KSec2D, a modeling of complicated cross section of rotor blade is carried out. Through the demonstration, the usefulness of developed program in modeling procedure of cross section of composite rotor blade is verified.

Static Aeroelastic Response of Wing-Structures Accounting for In-Plane Cross-Section Deformation

  • Varello, Alberto;Lamberti, Alessandro;Carrera, Erasmo
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.4
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    • pp.310-323
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    • 2013
  • In this paper, the aeroelastic static response of flexible wings with arbitrary cross-section geometry via a coupled CUF-XFLR5 approach is presented. Refined structural one-dimensional (1D) models, with a variable order of expansion for the displacement field, are developed on the basis of the Carrera Unified Formulation (CUF), taking into account cross-sectional deformability. A three-dimensional (3D) Panel Method is employed for the aerodynamic analysis, providing more accuracy with respect to the Vortex Lattice Method (VLM). A straight wing with an airfoil cross-section is modeled as a clamped beam, by means of the finite element method (FEM). Numerical results present the variation of wing aerodynamic parameters, and the equilibrium aeroelastic response is evaluated in terms of displacements and in-plane cross-section deformation. Aeroelastic coupled analyses are based on an iterative procedure, as well as a linear coupling approach for different free stream velocities. A convergent trend of displacements and aerodynamic coefficients is achieved as the structural model accuracy increases. Comparisons with 3D finite element solutions prove that an accurate description of the in-plane cross-section deformation is provided by the proposed 1D CUF model, through a significant reduction in computational cost.

Ionospheric TEC Monitoring over Jeju Island using the Chinese BeiDou Satellite Navigation System

  • Choi, Byung-Kyu;Lee, Woo Kyoung;Sohn, Dong-Hyo;Yoo, Sung-Moon;Roh, Kyoung-Min;Joo, Jung-Min;Heo, Moon Beom
    • Journal of Positioning, Navigation, and Timing
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    • v.9 no.1
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    • pp.1-6
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    • 2020
  • The Chinese BeiDou Satellite Navigation System consists of three kinds of constellations: the geostationary Earth orbit (GEO), the inclined geosynchronous satellite orbit (IGSO), and the medium Earth orbit (MEO). The BeiDou has expanded its service coverage from regional to global. Recently, the BeiDou has been widely used in ionospheric total electron content (TEC) research. In this study, we analyzed the BeiDou signals for ionospheric TEC monitoring over Jeju Island in South Korea. The BeiDou GEO TEC showed a clear pattern of diurnal variations. In addition, we compared the TEC values from the BeiDou GEO, the BeiDou IGSO, GPS, and International GNSS Service (IGS) Global Ionosphere Maps (GIM). There was a difference of about 5 TEC units between the BeiDou GEO and the IGS GIM. This may be due to the altitude difference between the different navigation satellites.

Numerical method for biaxially loaded reinforced and prestressed concrete slender columns with arbitrary section

  • Lou, T.J.;Xiang, Y.Q.
    • Structural Engineering and Mechanics
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    • v.28 no.5
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    • pp.587-601
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    • 2008
  • In this study, a numerical procedure based on the finite element method for materially and geometrically nonlinear analysis of reinforced and prestressed concrete slender columns with arbitrary section subjected to combined biaxial bending and axial load is developed. In order to overcome the low computer efficiency of the conventional section integration method in which the reinforced concrete section is divided into a large number of small areas, an efficient section integration method is used to determine the section tangent stiffness. In this method, the arbitrary shaped cross section is divided into several concrete trapezoids according to boundary vertices, and the contribution of each trapezoid to section stiffness is determined by integrating directly the trapezoid. The space frame flexural theory is utilized to derive the element tangent stiffness matrix. The nonlinear full-range member response is traced by an updated normal plane arc-length solution method. The analytical results agree well with the experimental ones.

SPIN-AXIS ATTITUDE DETERMINATION PROGRAM FOR THE GEOSYNCHRONOUS TRANSFER ORBIT SPAECRAFT

  • Lee, Byoung-Sun;Eun, Jong-Won
    • Journal of Astronomy and Space Sciences
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    • v.10 no.1
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    • pp.1-16
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    • 1993
  • Three typer of spin-axis attitude determination program for the geosynchronous transfer orbit spacecraft are developed. Deterministic closed-from algorithm, batch least-square algorithm and stabilized Kalman filter algorithm are used for implemetation of three programs. EUROSTAR bus model from British Aerospace is used for attitude sensor modelling. Attitude determinations using three programs are performed for the simulated sensor data according to INMARSAT 2-F1 prelaunch mission analysis.

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APPLICATIONS OF FIXED POINT THEORY IN HILBERT SPACES

  • Kiran Dewangan
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.59-72
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    • 2024
  • In the presented paper, the first section contains strong convergence and demiclosedness property of a sequence generated by Karakaya et al. iteration scheme in a Hilbert space for quasi-nonexpansive mappings and also the comparison between the iteration scheme given by Karakaya et al. with well-known iteration schemes for the convergence rate. The second section contains some applications of the fixed point theory in solution of different mathematical problems.

Analysis of the Fundamental Behaviors of the Middle Slab in a Double-Deck Tunnel for Design Guide Development (복층터널 중간슬래브 설계 기준 마련을 위한 기본 거동 특성 분석)

  • Park, Hee Beom;Cho, Young Kyo;Lee, Young Hoon;Kim, Seong-Min
    • International Journal of Highway Engineering
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    • v.19 no.1
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    • pp.63-72
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    • 2017
  • PURPOSES : The purpose of this study is to investigate the fundamental behaviors such as stresses and deflections of the middle slab in a double-deck tunnel for the development of a middle slab design guide. METHODS : The middle slab has been divided into the following three different sections as according to its structural differences: the normal section, expansion joint section, and emergency passageway section. The normal section of middle slab represents the slab supported by brackets installed continuously along the longitudinal direction of tunnel lining. The expansion joint section refers to a discontinuity of middle slab due to the existence of a transverse expansion joint. The emergency passageway section has an empty rectangular space in the middle slab that acts as an exit in an emergency. The finite element analysis models of these three sections of middle slab have been developed to analyze their respective behaviors. RESULTS : The stresses and deflections of middle slab at the three different sections decrease as the slab thickness increases. The emergency passageway section yields the largest stresses and deflections, with the normal section yielding the smallest. CONCLUSIONS : The stress concentrations at the corners of the passageway rectangular space can be reduced by creating hunch areas at the corners. The stresses and deflections in the emergency passageway section can be significantly decreased by attaching beams under the middle slab in the passageway area.