• Title/Summary/Keyword: finite element solutions

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Finite Element Method employing Localized Functional for analyzing The Axi-symmetric Induction Heating System (축대칭 유도가열기의 해석을 위한 국부범함수를 이용한 유한요소법)

  • Baek, Seung-Kook;Cheon, Chang-Yul;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.18-20
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    • 1994
  • The axisymmetric variational approach employing localized functional is applied to calculate the leakage magnetic field from an induction heating system consisting of an exciting coil and a conducting circular plate. The open boundary is treated by introducing the exterior functional which is representated using the spherical fundamental solutions. For the application to the voltags source problems, the currents on the exciting coil is treated as unknowns. Our results are compared with the previous results, which showed good agreements.

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Plastic collapse of tapered, tip-loaded cantilevered beams

  • Wilson, James F.;El-Esnawy, Nayer A.
    • Structural Engineering and Mechanics
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    • v.9 no.6
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    • pp.569-588
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    • 2000
  • The plastic collapse loads and their locations are predicted for a class of tapered, initially curved, and transversely corrugated cantilevered beams subjected to static tip loading. Results of both closed form and finite element solutions for several rigid perfectly plastic and elastic perfectly plastic beam models are evaluated. The governing equations are cast in nondimensional form for efficient studies of collapse load as it varies with beam geometry and the angle of the tip load. Static experiments for laboratory-scale configurations whose taper flared toward the tip, complemented the theory in that collapse occurred at points about 40% of the beams length from the fixed end. Experiments for low speed impact loading of these configurations showed that collapse occurred further from the fixed end, between the 61% and 71% points. The results may be applied to the design of safer highway guardrail terminal systems that collapse by design under vehicle impact.

Buckling Stability of Timoshenko Beams on Two-Parameter Elastic Foundations under an Axial Force (축력을 받고 두 파라메타 탄성기초 위에 놓인 티모센코 보의 좌굴 안정성)

  • 정승호
    • Journal of the Korea Society for Simulation
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    • v.8 no.2
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    • pp.111-122
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    • 1999
  • The paper presents a stability analysis of uniform Timoshenko beams resting on two-parameter elastic foundations. The two-parameter elastic foundations were considered as a shearing layer and Winkler springs in soil models. Governing equations of motion were derived using the Hamilton's principle and finite element analysis was performed and the eigenvalues were obtained for the stability analysis. The numerical results for the buckling stability of beams under axial forces are demonstrated and compared with the exact or available confirmed solutions. Finally, several examples were given for Euler-Bernoulli and Timoshenko beams with various boundary conditions.

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Optimal Design of Laminated Composite Beams with Open Cross Section (복합 적층 개단면 보의 최적설계)

  • 배하록;홍순호;신영석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.309-316
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    • 1999
  • Laminated composite plates are very useful in various fields of engineering where high strength-to-weight and stiffness-to-weight ratios are required. Design optimization of composite structures has gained importance in recent years as the engineering applications of fiber reinforced materials have increased and weight savings has become an essential design objective. However, due to the anisotropic material properties of laminated composite structure it is very difficult to analyze and design. In this study, numerical optimization technique together with the finite element method is used to find the optimum design of FRP. Various combination of fiber orientation for the laminate layers are investigated and several local optimum solutions are found.

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Comparison and Electromagnetic Analysis of BLDC Motors with Radial and Polar Plastic Magnets (반경 및 원주 방향 자화된 플라스틱 자석을 갖는 BLDC 전동기의 전자기적 특성해석 및 비교)

  • Jang, Seok-Myeong;Cho, Jang-Young;Cho, Han-Wook;Yang, Hyun-Sup;Lee, Sung-Ho;Jeong, Sang-Sub
    • Proceedings of the KIEE Conference
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    • 2005.04a
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    • pp.25-27
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    • 2005
  • This paper deals with the comparison and analysis of brushless DC (BLDC) motor with radial and polar anisotropic plastic magnet. The open-circuit field distributions and back-emf for BLDC motor with polar plastic magnet are established analytically and the results are validated extensively by comparison with finite element (FE) analyses. On the basis of two dimensional (2-D) analytical solutions, this paper predicts open-circuit field characteristics according to design parameters and makes a comparison between BLDC motor with polar plastic magnet and it with radial plastic magnet in terms of required magnet volume and harmonic of air-gap flux density waveform.

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Solution Recovery Techniques for Posteriori Error Estimation (후처리 에러산정을 위한 가상해 도출방법)

  • Lee, Sang-Ho;Kim, Sang-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.47-53
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    • 1996
  • An enhanced solution recovery method for recovering accurate derivatives such as moments, or shears, from finite element solutions for $C^{0}$ beam and plate is presented. In the enhanced method, the square of the residuals in the equilibrium equations is included. Results are compared with those of standard Zienkiewicz-Zhu methods. Numerical examples show that in the global projection, the enhanced technique improves the accuracy of projected solution significantly. In the local projection, the enhanced method circumvents the numerical ill-conditioning which occurs in some meshes, and usually recovers derivatives with better accuracy.y.

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Study on the analysis of system and hemodynamics of the Korean artificial heart (한국형 인공심장의 시스템 및 혈류해석에 관한 연구)

  • Shim E. B.;Ko H. J.;Youn C. H.;Min B. G.
    • 한국전산유체공학회:학술대회논문집
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    • 2002.05a
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    • pp.2-7
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    • 2002
  • Flow in the blood sac of the Korean artificial heart is numerically simulated by finite element method. Fluid-structure interaction algorithm is employed to compute the 3D blood flow interacting with the sac material. The motion of the actuator is simplified by a time-varying pressure boundary condition imposed on the outer surface of the sac. Numerical solutions show that there are a strong flow into the outlet and a stagnation flow near the inlet during systole. Shear stress distribution is also delineated to assess the possibility of thrombus formation.

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Steel-concrete composite bridge analysis using generalised beam theory

  • Goncalves, Rodrigo;Camotim, Dinar
    • Steel and Composite Structures
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    • v.10 no.3
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    • pp.223-243
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    • 2010
  • This paper reports recent developments concerning the application of Generalised Beam Theory (GBT) to the structural analysis of steel-concrete composite bridges. The potential of GBT-based semi-analytical or finite element-based analyses in this field is illustrated/demonstrated by showing that both accurate and computationally efficient solutions may be achieved for a wide range of structural problems, namely those associated with the bridge (i) linear (first-order) static, (ii) vibration and (iii) lateral-torsional-distortional buckling behaviours. Several illustrative examples are presented, which concern bridges with two distinct cross-sections: (i) twin box girder and (ii) twin I-girder. Allowance is also made for the presence of discrete box diaphragms and both shear lag and shear connection flexibility effects.

Weak forms of generalized governing equations in theory of elasticity

  • Shi, G.;Tang, L.
    • Interaction and multiscale mechanics
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    • v.1 no.3
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    • pp.329-337
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    • 2008
  • This paper presents the derivation of the generalized governing equations in theory of elasticity, their weak forms and the some applications in the numerical analysis of structural mechanics. Unlike the differential equations in classical elasticity theory, the generalized equations of the equilibrium and compatibility equations presented here take the form of integral equations, and the generalized equilibrium equations contain the classical differential equations and the boundary conditions in a single equation. By using appropriate test functions, the weak forms of these generalized governing equations can be established. It can be shown that various variational principles in structural analysis are merely the special cases of these weak forms of generalized governing equations in elasticity. The present weak forms of elasticity equations extend greatly the choices of the trial functions for approximate solutions in the numerical analysis of various engineering problems. Therefore, the weak forms of generalized governing equations in elasticity provide a powerful modeling tool in the computational structural mechanics.

Experimental investigation of the uplift capacity of group anchor plates embedded in sand

  • Emirler, Buse;Tolun, Mustafa;Laman, Mustafa
    • Geomechanics and Engineering
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    • v.11 no.5
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    • pp.691-711
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    • 2016
  • In this study, the uplift capacity of anchor plates embedded in sand was investigated by conducting model tests. Square shaped anchors were used in the tests and parameters such as relative density of sand, embedment ratio (H/B), spacing ratio between anchors (S/B) and anchor configuration affecting the uplift capacity were investigated. Breakout factor and group efficiency which are dimensionless parameters were used to show the results. A series of finite element analyses and analytical solutions were additionally performed to ascertain the validity of the findings from the laboratory model tests and to supplement the results of the model tests. It can be concluded that the embedment depth in dense sand soil condition is the most important parameter with respect to the other parameters as to influencing the uplift capacity of group anchors.