• 제목/요약/키워드: 2 degrees of freedom

검색결과 411건 처리시간 0.025초

A discussion on simple third-order theories and elasticity approaches for flexure of laminated plates

  • Singh, Gajbir;Rao, G. Venkateswara;Iyengar, N.G.R.
    • Structural Engineering and Mechanics
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    • 제3권2호
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    • pp.121-133
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    • 1995
  • It is well known that two-dimensional simplified third-order theories satisfy the layer interface continuity of transverse shear strains, thus these theories violate the continuity of transverse shear stresses when two consecutive layers differ either in fibre orientation or material. The third-order theories considered herein involve four/or five dependent unknowns in the displacement field and satisfy the condition of vanishing of transverse shear stresses at the bounding planes of the plate. The objective of this investigation is to examine (i) the flexural response prediction accuracy of these third-order theories compared to exact elasticity solution (ii) the effect of layer interface continuity conditions on the flexural response. To investigate the effect of layer interface continuity conditions, three-dimensional elasticity solutions are developed by enforcing the continuity of different combinations of transverse stresses and/or strains at the layer interfaces. Three dimensional twenty node solid finite element (having three translational displacements as degrees of freedom) without the imposition of any of the conditions on the transverse stresses and strains is also employed for the flexural analysis of the laminated plates for the purposes of comparison with the above theories. These shear deformation theories and elasticity approaches in terms of accuracy, adequacy and applicability are examined through extensive numerical examples.

산업용 백금저항온도계를 위한 향상된 내삽식 (Improved Interpolating Equation for Industrial Platinum Resistance Thermometer)

  • 양인석;김용규;감기술;이영희
    • 센서학회지
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    • 제21권2호
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    • pp.109-113
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    • 2012
  • We propose an improved interpolating equation to express temperature-resistance characteristics for modern industrial platinum resistance thermometers (PRTs). Callendar-van Dusen equation which has been widely used for platinum resistance thermometer fails to fully describe temperature characteristics of high quality PRTs and leaves systematic residual when the calibration point include temperatures above $300^{\circ}C$. Expanding Callendar-van Dusen to higher-order polynomial drastically improves the uncertainty of the fitting even with reduced degrees of freedom of the fitting. We found that in the fourth-order polynomial fitting, the third-order and fourth-order coefficients have a strong correlation. Using the correlation, we suggest an improved interpolating equation in the form of fourth-order polynomial, but with three fitting parameters. Applying this interpolating equation reduced the uncertainty of the fitting to 32 % of that resulted from the traditional Callendar-van Dusen. This improvement was better than that from a simple third-order polynomial despite that the degrees of the freedom of the fitting was the same.

부구조화 기법을 연동한 반복적인 동적 축소법 (II) - 비비례 감쇠 구조 시스템 - (Iterated Improved Reduced System (IIRS) Method Combined with Sub-Structuring Scheme (II) - Nonclassically Damped Structural Systems -)

  • 최동수;김현기;조맹효
    • 대한기계학회논문집A
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    • 제31권2호
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    • pp.221-230
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    • 2007
  • An iterated improved reduced system (IIRS) procedure combined with sub-structuring scheme for nonclassically damped structural systems is presented. For dynamic analysis of such systems, complex eigenproperties are required to incorporate properly the nonclassical damping effect. In complex structural systems, the equations of motion are written in the state space from. Thus, the number of degrees of freedom of the new equations of motion and the size of the associated eigenvalue problem required to obtain the complex eigenvalues and eigenvectors are doubled. Iterated IRS method is an efficient reduction technique because the eigenproperties obtained in each iteration step improve the condensation matrix in the next iteration step. However, although this reduction technique reduces the size of problem drastically, it is not efficient to apply this technique to a single domain finite element model with degrees of freedom over several thousands. Therefore, for a practical application of the reduction method, accompanying sub-structuring scheme is necessary. In the present study, iterated IRS method combined with sub-structuring scheme for nonclssically damped structures is developed. Numerical examples demonstrate the convergence and the efficiency of a newly developed scheme.

Differential cubature method for buckling analysis of arbitrary quadrilateral thick plates

  • Wu, Lanhe;Feng, Wenjie
    • Structural Engineering and Mechanics
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    • 제16권3호
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    • pp.259-274
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    • 2003
  • In this paper, a novel numerical solution technique, the differential cubature method is employed to study the buckling problems of thick plates with arbitrary quadrilateral planforms and non-uniform boundary constraints based on the first order shear deformation theory. By using this method, the governing differential equations at each discrete point are transformed into sets of linear homogeneous algebraic equations. Boundary conditions are implemented through discrete grid points by constraining displacements, bending moments and rotations of the plate. Detailed formulation and implementation of this method are presented. The buckling parameters are calculated through solving a standard eigenvalue problem by subspace iterative method. Convergence and comparison studies are carried out to verify the reliability and accuracy of the numerical solutions. The applicability, efficiency, and simplicity of the present method are demonstrated through solving several sample plate buckling problems with various mixed boundary constraints. It is shown that the differential cubature method yields comparable numerical solutions with 2.77-times less degrees of freedom than the differential quadrature element method and 2-times less degrees of freedom than the energy method. Due to the lack of published solutions for buckling of thick rectangular plates with mixed edge conditions, the present solutions may serve as benchmark values for further studies in the future.

수중운동체의 조종성능 예측을 위한 수치시뮬레이션에 대한 연구 (A Study on Numerical Simulation for Predicting of Unmanned Undersea Vehicle's Manoeuvrability)

  • 배준영
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2015년도 추계학술대회
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    • pp.83-85
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    • 2015
  • 본 연구는 수중운동체의 시뮬레이터를 개발하기 위한 기초연구로 수행되어졌다. 미국의 해군수중 무기센터에서 개발중인 Manta형 모양의 무인잠수정을 연구를 위한 기본 모델로 채택하였다[1]. 시뮬레이션은 수중운동체의 조종운동 특성을 고려하여 대각도 운동을 포함하는 6자유도 운동방정식을 사용하였으며, 이때에 사용된 유체력미계수도 대각도와 일반각도를 분류하여 사용하였다[2]. 수치시뮬 레이션은 수평 및 수직 선회 시험, 수평 및 수직 지그재그 시험, 부상운동, 미앤더(meander) 시험을 실시하였다.

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축소모델 기반 구조물의 동적해석 연구 (Study on the Dynamic Analysis Based on the Reduced System)

  • 김현기;조맹효
    • 한국전산구조공학회논문집
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    • 제21권5호
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    • pp.439-450
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    • 2008
  • 잘 구축된 축소시스템은 동하중을 받는 구조물의 거동을 정확하게 계산할 수 있으며, 유한요소 기반 동적해석에서 문제가 될 수 있는 계산시간과 전산자원의 문제를 해결할 수 있다. 본 연구에서는 축소모델 기반 동적해석 알고리즘을 개발하였고, 동적 축소모델의 구축을 위한 주자유도 선정방법을 제안하였다. 이 과정에서 기존 연구에서 신뢰성이 검증된 2단계 축소기법을 사용하여 중요 자유도를 선정하고, IRS 방법에 의해 최종 축소모델을 구축하였다. 이를 임의의 동하중을 받는 수치예제에 적용하고 전체시스템의 동적해석 결과와 비교하여 제안 방법의 신뢰성을 검증하였다.

보치환법에 의한 등가 유체력계수 산정 (Estimation of Equivalent Hydrodynamic Coefficients by Bean Permutation Technique)

  • 박춘군
    • 한국해안해양공학회지
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    • 제12권2호
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    • pp.81-86
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    • 2000
  • 설치수힙이 점차 깊어짐에 따라 해양구조물들의 형상비가 세장해지므로 이에 대한 동적해석이 더욱 중요하다. 해양구조물중에는 프레임구조로 된 것이 많은데 이들의 자유도수가 많아 동적해석에 있어서 많은 계산시간과 컴퓨터 용량이 필요하다. 본 논문에서는 프레임 구조물의 자유도수를 현저히 감소시킬 수 있는 보치환법을 개발하는 이롼으로 동적해석을 수행할 때에 필요한 3차원 등가 유체력계수들을 산정하는 방법을 제시하였다 이 방법을 검증하기 위하여 2가지 모델 예를 사용하였으며 보치환기법에 의한 등가 보의 해석결과와 상용해석 프로그램인 ANSYS과 SACS에 의한 프레임 구조의 해석결과는 아주 만족스럽게 일치하였다.

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압전지능구조물의 최적설계를 위한 민감도 해석 (Sensitivity analysis for optimal design of piezoelectric structures)

  • 김재환
    • 소음진동
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    • 제8권2호
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    • pp.267-273
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    • 1998
  • This study aims at performing sensitivity analysis of piezoelectric smart structure for minimizing radiated noise from the structure, The structure consists of a flat plate on which disk shaped piezoelectric actuator is mounted, and finite element modeling is used for the structure. The finite element modeling uses a combination of three dimensional piezoelectric, flat shell and transition elements so thus it can take into account the coupling effects of the piezoelectric device precisely and it can also reduce the degrees of freedom of the finite element model. Electric potential on the piezoelectric actuator is taken as a design variable and total radiated power of the structure is chosen as an objective function. The objective function can be represented as Rayleigh's integral equation and is a function of normal displacements of the structure. For the convenience of computation, all degrees of freedom of the finite element equation is condensed out except the normal displacements of the structure. To perform the design sensitivity analysis, the derivative of the objective function with respect to the normal displacements is found, and the derivative of the norma displacements with respect to the design variable is calculated from the finite element equation by using so called the adjoint variable method. The analysis results are compared with those of the finite difference method, and shows a good agreement. This sensitivity analysis is faster and more accurate than the finite difference method. Once the sensitivity analysis program is used for gradient-based optimizations, one could achieve a better convergence rate than non-derivative methods for optimal design of piezoelectric smart structures.

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2관성계의 부분적인 상태궤환을 갖는 $H_{\infty}$제어 (Partial State Feedback $H_{\infty}$ Control of Two-Mass System)

  • 한윤석;김영석
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제48권10호
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    • pp.562-570
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    • 1999
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. This vibration, which is generated in a two-mass mechanical system. To solve this problem, recently there has been a lot of researches for the robust control relevant to the $H_{\infty}$ control suppressing the torsional vibration and rejecting the torque disturbance. In the case of the $H_{\infty}$controller, however, the command tracking property becomes worse because of overshoot during transient response. For this reason the $H_{\infty}$ controller, which includes the two-degrees-of-freedom(TDOF) controller, is designed in order to improve command tracking property. However, it also includes complexity realizing this controller. In this paper, a new $H_{\infty}$ controller with partial state feedback is proposed. Proposed $H_{\infty}$controller has simple structure but satisfies with the fast command tracking property and the attenuation of disturbances and vibrations simultaneously, just like the complicated TDOF $H_{\infty}$ controller.

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슈퍼컴퓨팅 기반의 대규모 구조해석을 위한 전/후처리 시스템 개발 (Development of Pre- and Post-processing System for Supercomputing-based Large-scale Structural Analysis)

  • 김재성;이상민;이재열;정희석;이승민
    • 한국CDE학회논문집
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    • 제17권2호
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    • pp.123-131
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    • 2012
  • The requirements for computational resources to perform the structural analysis are increasing rapidly. The size of the current analysis problems that are required from practical industry is typically large-scale with more than millions degrees of freedom (DOFs). These large-scale analysis problems result in the requirements of high-performance analysis codes as well as hardware systems such as supercomputer systems or cluster systems. In this paper, the pre- and post-processing system for supercomputing based large-scale structural analysis is presented. The proposed system has 3-tier architecture and three main components; geometry viewer, pre-/post-processor and supercomputing manager. To analyze large-scale problems, the ADVENTURE solid solver was adopted as a general-purpose finite element solver and the supercomputer named 'tachyon' was adopted as a parallel computational platform. The problem solving performance and scalability of this structural analysis system is demonstrated by illustrative examples with different sizes of degrees of freedom.