• Title/Summary/Keyword: reduced numerical integration

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Development of 8-node Flat Shell Element for the Analysis of Folded Plate Structures (절판 구조물의 해석을 위한 8절점 평면 첼 요소의 개발)

  • 최창근;한인선
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.234-241
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    • 1999
  • In this study, an improved 8-node flat shell element is presented for the analysis of shell structure, by combining 8-node membrane element with drilling degree-of-freedom and 8-node plate bending element based on the recently presented technique. Firstly, 8-node membrane element designated as CLM8 is presented in this paper. The element has drilling degree-of.freedom in addition to transitional degree-of-freedom. Therefore the element possesses 3 degrees-of-freedom per each node which as well as the improvement of the element behavior, permits an easy connection to other element with rotational degree-of -freedom. Secondly. 8-node flat shell element was composed by adding 8-node Mindlin plate bending element to the membrane element. The behavior of the introduced plate bending element is further improved by combined use of nonconforming displacement modes, selectively reduced integration scheme and assumed shear strain fields. The element passes in the patch test, doesn't show spurious mechanism and doesn't produce shear locking phenomena. Finally, Numerical examples are presented to show the performance of flat shell element developed in the present study.

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Finite Element Analysis of Air Springs with Fiber-Reinforced Rubber Composites Using 3-D Shell Elements (3차원 셸 요소를 이용한 섬유보강 고무모재 공기 스프링의 유한요소해석)

  • Lee, Hyoung-Wook;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.4
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    • pp.602-609
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    • 2001
  • This paper is concerned with the orthotropic problem of diaphragm-type air springs which consist of rubber linings, nylon reinforced rubber composite and bead ring. The analysis is carried out with a finite element method developed to consider the orthotropic properties, geometric nonlinearity using four-node degenerated shell element with reduced integration. Physical stabilization scheme is used to control the zeroenergy mode of the element. The analysis includes an inflation analysis and a lateral analysis of an air spring for the deformed shape and the spring load with respect to the vertical and l ateral deflection. Numerical results demonstrate the variation of the outer diameter, the fold height, the vertical force and the lateral force with respect to the inflation pressure and the lateral deflection.

Effects of a One-Way Clutch on the Nonlinear Dynamic Behavior of Spur Gear Pairs under Periodic Excitation

  • Cheon Gill-Jeong
    • Journal of Mechanical Science and Technology
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    • v.20 no.7
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    • pp.941-949
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    • 2006
  • Nonlinear behavior analysis was used to verify whether a one-way clutch is effective for reducing the torsional vibration of a paired spur gear system under periodic excitation. The dynamic responses were studied over a wide frequency range by speed sweeping to check the nonlinear behavior using numerical integration. The gear system with a one-way clutch showed typical nonlinear behavior. The oscillating component of the dynamic transmission error was reduced over the entire frequency range compared to a system without a one-way clutch. The one-way clutch also eliminated unsteady continuous jump phenomena over multiple solution bands, and prevented double-side contact, even with very small backlash. Installing a one-way clutch on both sides of the gear system was more effective at mitigating the negative effects of external periodic excitation and various parameter changes than a conventional gear system without a one-way clutch.

The receding contact problem of two elastic layers supported by two elastic quarter planes

  • Yaylaci, Murat;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • v.48 no.2
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    • pp.241-255
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    • 2013
  • The receding contact problem for two elastic layers whose elastic constants and heights are different supported by two elastic quarter planes is considered. The lower layer is supported by two elastic quarter planes and the upper elastic layer is subjected to symmetrical distributed load whose heights are 2a on its top surface. It is assumed that the contact between all surfaces is frictionless and the effect of gravity force is neglected. The problem is formulated and solved by using Theory of Elasticity and Integral Transform Technique. The problem is reduced to a system of singular integral equations in which contact pressures are the unknown functions by using integral transform technique and boundary conditions of the problem. Stresses and displacements are expressed depending on the contact pressures using Fourier and Mellin formula technique. The singular integral equation is solved numerically by using Gauss-Jacobi integration formulation. Numerical results are obtained for various dimensionless quantities for the contact pressures and the contact areas are presented in graphics and tables.

Finite Element Analysis of Air Springs with Fiber-Reinforced Rubber Composites using 3-D Shell Elements (3차원 쉘 요소를 이용한 섬유보강 고무모재 공기 스프링의 유한요소 해석)

  • Lee, Hyoung-Wook;Huh, Hoon;Kim, Jin-Young;Jeong, Soo-Gyo
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.274-279
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    • 2000
  • This paper is concerned with the orthotropic problem of diaphragm-type air springs which consist of rubber linings, nylon reinforced rubber composite and bead ring. The analysis is carried out with a finite element method developed to consider the orthotropic properties, geometric nonlinearity using four-node degenerated shell element with reduced integration. Physical stabilization scheme is used to control the zero-energy modes of the element. An inflation analysis and a lateral deformation analysis of an air spring are carried out. Numerical analysis results demonstrate the variation of the outer diameter, the fold height, the vertical force and the lateral force.

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A Study of a New Anisoparametric In-Plane Deformable Curved Beam Element (새로운 부등매개변수 면내변형 곡선보 요소에 관한 연구)

  • Yoo, Jae-Hyeong;Yoo, Seung-Won;Moon, Won-Joo;Min, Oak-Key
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.405-410
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    • 2000
  • Generally, it is known that the reduced integration, modified shape function anisoparametric and non-conforming element can minimize the error induced by stiffness locking phenomenon in the finite element analysis. In this study, new anisoparametric curved beam elements are introduced by using different shape functions in each displacement field. When these shape functions are substitute for functional, we can expect that the undulate stress patterns are not appeared or minimized because there is no unmatched coefficient in the constrained energy equation. As a result of numerical test, the undulate stress patterns are disappeared, and displacement and stress are coincide with the exact solutions.

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Influence of Torque Fluctuation on the Stability of a Rotating Disk (토크 하중의 변동이 회전원판의 안정성에 미치는 영향)

  • Shin, Eung-Soo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.24 no.1
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    • pp.110-116
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    • 2015
  • This study investigates the whirling stability of a rotating shaft-disk system under parametric excitation using periodically varying torque. The equations of motion were derived using a lumped-mass model, and the Floquet method was employed to find the effects of torque fluctuation, internal and external damping, and rotational speed on whirling stability. Results indicated that the effect of torque fluctuation was considerable on the instability around resonance, but minimal on supercritical instability. Stability diagrams were sensitive to the parametric excitation frequency; critical torque decreased upon increasing excitation frequency, with faster response convergence or divergence. In addition, internal and external damping had a considerable effect on unstable regions, and reduced the effects of the parametric excitation frequency on critical torque and speed. Results obtained from the Floquet approach were in good agreement with those obtained by numerical integration, except for some cases with Floquet multipliers very close to unity.

A Numerical Analysis of Rarefied Flow of Cylinder Using FDDO (FDDO를 이용한 실린더를 지나는 희박기체의 해석)

  • Ahn M. Y.;Chang K. S.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.05a
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    • pp.138-144
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    • 1998
  • The BGK equation, which is the kinetic model equation of Boltzmann equation, is solved using FDDO(finite difference with the discrete-ordinate method) to compute the rarefied flow of monatomic gas. Using reduced velocity distribution and discrete ordinate method, the scalar equation is transformed into a system of hyperbolic equations. High resolution ENO(Essentially Non-Oscillatory) scheme based on Harten-Yee's MFA(Modified Flux Approach) method with Strang-type explicit time integration is applied to solve the system equations. The calculated results are well compared with the experimental density field of NACA0012 airfoil, validating the developed computer code. Next. the computed results of circular cylinder flow for various Knudsen numbers are compared with the DSMC(Direct Simulation Monte Carlo) results by Vogenitz et al. The present scheme is found to be useful and efficient far the analysis of two-dimensional rarefied gas flows, especially in the transitional flow regime, when compared with the DSMC method.

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UNSTEADY WALL INTERFERENCE EFFECT ON FLOWS AROUND AN OSCILLATING AIRFOIL IN CLOSED TEST-SECTION WIND TUNNELS (폐쇄형 풍동 시험부내의 진동하는 익형 주위 유동에 대한 비정상 벽면효과 연구)

  • Kang Seung-Hee;Kwon Oh Joon;Hong Seung-Kyu
    • Journal of computational fluids engineering
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    • v.10 no.2
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    • pp.60-68
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    • 2005
  • For study on the unsteady wall interference effect, flows around a forced oscillating airfoil in closed test-section wind tunnels have been numerically investigated by solving compressible Navier-Stokes equations. The numerical scheme is based on a node-based finite-volume method with the Roe's flux-difference splitting and an implicit time-integration method coupled with dual time-step sub-iteration. The Spalart-Allmaras one-equation model is employed for the turbulence effect. The computed results of the oscillating airfoil having a thin wake showed that the lift curve slope is increased and the magnitude of hysteresis loop is reduced by the interference effects. Since the vortex around the airfoil is generated and convected downstream faster than the free-air condition, the phase of lift, drag and pitching moment coefficients was shifted. The pressure on the test section wall shows harmonic terms having the oscillating frequency contained in the wail effect.

Higher Order Quadrilateral Plate Bending Finite Element (고차(高次) 판(板) 사각형(四角形) 유한요소(有限要素))

  • Shin, Young Shik;Shin, Hyun Mook;Kim, Myung Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.25-32
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    • 1988
  • A formulation of an isoparametric quadrilateral higher-order plate bending finite element is presented. The 8-noded 28-d.o.f. plate element has been degenerated from the three-dimensional continuum by introducing the plate assumptions and considering higher-order in-plane displacement profile. The element characteristics have been derived by the Galerkin's weighted residual method and computed by using the selective reduced integration technique to avoid shear-locking phenomenon. Several numerical examples are given to demonstrate the accuracy and versatility of the proposed quadrilateral higher-order plate bending element over the other existing plate finite elements in both static and dynamic analyses.

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