• Title/Summary/Keyword: Static-explicit Method

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The construction of multivariable Reissner-Mindlin plate elements based on B-spline wavelet on the interval

  • Zhang, Xingwu;Chen, Xuefeng;He, Zhengjia
    • Structural Engineering and Mechanics
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    • v.38 no.6
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    • pp.733-751
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    • 2011
  • In the present study, a new kind of multivariable Reissner-Mindlin plate elements with two kinds of variables based on B-spline wavelet on the interval (BSWI) is constructed to solve the static and vibration problems of a square Reissner-Mindlin plate, a skew Reissner-Mindlin plate, and a Reissner-Mindlin plate on an elastic foundation. Based on generalized variational principle, finite element formulations are derived from generalized potential energy functional. The two-dimensional tensor product BSWI is employed to form the shape functions and construct multivariable BSWI elements. The multivariable wavelet finite element method proposed here can improve the solving accuracy apparently because generalized stress and strain are interpolated separately. In addition, compared with commonly used Daubechies wavelet finite element method, BSWI has explicit expression and a very good approximation property which guarantee the satisfying results. The efficiency of the proposed multivariable Reissner-Mindlin plate elements are verified through some numerical examples in the end.

Kinematic Design Sensitivity Analysis of Vehicle Suspension Systems using a Numerical Differentiation Method (수치미분에 의한 차량 현가장치의 기구학적 민감도 해석)

  • 탁태오
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.5
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    • pp.128-137
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    • 1998
  • A numerical approach for performing kinematic design sensitivity analysis of vehicle suspension systems is presented. Compared with the conventional analytical methods, which require explicit derivation of sensitivity equations, the proposed numerical method can be applied to any type of suspension systems without obtaining sensitivity equations, once any kinematic analysis procedure is established. To obtain sensitivity equations, a numerical differentiation algorithm that uses the third order Lagrange polynomial is developed. The algorithm efficiently and accurately computes the sensitivity of various vehicle static design factors with respect to kinematic design variables. Through a suspension design problem, the validity and usefulness of the method is demonstrated.

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A Study on the Dynamic Material's Characteristics of Tungsten Alloy using Split Hopkinson Pressure Bar (홉킨슨 압축봉 장치를 이용한 텅스텐 합금의 동적 재료 특성에 관한 연구)

  • Hwang, Doo-Soon;Rho, Beong-Lae;Hong, Sung-In
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.8 s.173
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    • pp.92-99
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    • 2005
  • Tungsten heavy metal is characterized by a high density and novel combination of strength and ductility. Among them, 90W-7Ni-3Fe is used for applications, where the high specific weight of the material plays an important role. They are used as counterweights, rotating inertia members, as well as fur defense purposes(kinetic energy Penetrators, etc.). Because of these applications, it is essential to detemine the dynamic characteristics of tungsten alloy. In this paper, Explicit FEM(finite element method) is employed to investigate the dynamic characteristics of tungsten heavy metal under base of stress wave propagation theory for SHPB, and the model of specimen is divided into two parts to understand the phenomenon that stress wave penetrates through each tungsten base and matrix. This simulation results were compared to experimental one and through this program, the dynamic stress-strain curve of tungsten heavy metal can be obtained using quasi static stress-strain curve of pure tungsten and matrix.

The Properties of a Nonlinear Direct Spectrum Method for Estimating the Seismic Performance (내진성능평가를 위한 비선형 직접스펙트럼법의 특성)

  • 강병두;김재웅
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.4
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    • pp.65-73
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    • 2002
  • It has been recognized that the damage control must become a more explicit design consideration. In an effort to develop design methods based on performance it is clear that the evaluation of the nonlinear response is required. The methods available to the design engineer today are nonlinear time history analyses, monotonic static nonlinear analyses, or equivalent static analyses with simulated nonlinear influences. Some building codes propose the capacity spectrum method based on the nonlinear static analysis(pushover analysis) to determine the earthquake-induced demand given by the structure pushover curve. These procedures are conceptually simple but iterative and time consuming with some errors. This paper presents a nonlinear direct spectrum method(NDSM) to evaluate seismic performance of structures, without iterative computations, given by the structural initial elastic period and yield strength from the pushover analysis, especially for MDF(multi degree of freedom) systems. The purpose of this paper is to investigate the accuracy and confidence of this method from a point of view of various earthquakes and unloading stiffness degradation parameters. The conclusions of this study are as follows; 1) NDSM is considered as practical method because the peak deformations of nonlinear system of MDF by NDSM are almost equal to the results of nonlinear time history analysis(NTHA) for various ground motions. 2) When the results of NDSM are compared with those of NTHA. mean of errors is the smallest in case of post-yielding stiffness factor 0.1, static force by MAD(modal adaptive distribution) and unloading stiffness degradation factor 0.2~0.3.

Numerical Analysis for Comparing Beam-spring and Continuum Model for Buried Pipes Considering Soil-pipe Interaction (매설관과 지반의 상호작용을 고려한 보-스프링 모델과 연속체 모델의 수치해석적 비교 연구)

  • Jeonghun Yang;Youngjin Shin;Hangseok Choi
    • Journal of the Korean GEO-environmental Society
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    • v.24 no.9
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    • pp.15-24
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    • 2023
  • The behavior of buried pipes is directly influenced by the nonlinearity and complex characteristics of the surrounding soil. However, the simplified beam-spring model, which ignores the nonlinearity and complex behavior of soil, is commonly used in practice. In response, several studies have employed continuum analysis methods to account for the nonlinear and complex behavior of the soil. This paper presents various numerical continuum analysis techniques and verifies their comparison with full-scale tests. The study found that reaction force results close to the full-scale test could be obtained by applying contact surface characteristics that take into account the interaction between the ground and the buried pipe. In the case of sharing pipe and soil node method and ignoring the interaction between pipe and soil, excessive reaction force was derived, and the failure shapes were different. In addition, this study applied the dynamic explicit analysis method, ALE method, and CEL method. It was confirmed that the displacement-reaction relationship and failure shape are similar to those of the static analysis.

An LMI-based PID Control Design Method for Uncertain MIMO Systems (불확실성을 갖는 MIMO 시스템을 위한 선형행렬부등식 기반 PID 제어기 설계 방법)

  • Lee, Jae-Kwan;Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.9
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    • pp.750-754
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    • 2005
  • This paper deals with the design problem of multivariable PID controllers guaranteeing the closed-loop system stability and a prescribed $H_\infty$ norm bound constraint. We reduce the problem to the static output feedback stabilization problem. We derive a necessary and sufficient condition f3r the existence of PID controllers and we give an explicit formula of PID controllers. We also give an existence condition of PID controllers guaranteeing a prescribed decay rate. Finally, we give an LMI-based design algorithm, together with a numerical design example.

High Velocity Impact Simulation Using Explicit Time Integration Finite Element Method (엑스플리시트의 유한요소법을 이용한 고속충돌해석)

  • 정동택
    • Journal of the KSME
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    • v.35 no.8
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    • pp.698-708
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    • 1995
  • 충돌이란 두 개 이상의 물체가 특정한 상대 속도로 부\ulcorner칠 때 나타나는 현상으로서 준 정 적(quasi-static) 조건하에서 나타나는 현상과 크게 다음 두 가지 특징을 들 수 있다. 첫째, 관 성력이 매우 중요하다. 따라서 기본 역학 및 물리학 보존법칙에 기초를 둔 모든 지배 방정식에 이 영향을 반드시 포함시켜야 한다. 둘째, 응력파(stress wave)에 의한 재료의 변형을 들 수 있다. 이 응력파는 시간과 거리에 따라 급격히 감소되므로 대부분의 경우 국부적으로 많은 변형이 일 어난다. 충돌에 의하여 일어나는 재료의 변형 특성은 충돌 속도에 따라 매우 다르게 나타난다. 이러한 특징들을 표 1에 나타내었다. 이 글에서는 충돌 해석 프로그램의 특징과 구성을 소개하고 그중 엑스플리시트 유한요소방법을 사용한 금속 재료에 관련된 몇 가지 충돌현상의 해석 예를 소개하고자 한다.

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Thermal-hydraulic simulation and evaluation of a natural circulation thermosyphon loop for a reactor cavity cooling system of a high-temperature reactor

  • Swart, R.;Dobson, R.T.
    • Nuclear Engineering and Technology
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    • v.52 no.2
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    • pp.271-278
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    • 2020
  • The investigation into a full-scale 27 m high, by 6 m wide, thermosyphon loop. The simulation model is based on a one-dimensional axially-symmetrical control volume approach, where the loop is divided into a series of discreet control volumes. The three conservation equations, namely, mass, momentum and energy, were applied to these control volumes and solved with an explicit numerical method. The flow is assumed to be quasi-static, implying that the mass-flow rate changes over time. However, at any instant in time the mass-flow rate is constant around the loop. The boussinesq approximation was invoked, and a reasonable correlation between the experimental and theoretical results was obtained. Experimental results are presented and the flow regimes of the working fluid inside the loop identified. The results indicate that a series of such thermosyphon loops can be used as a cavity cooling system and that the one-dimensional theoretical model can predict the internal temperature and mass-flow rate of the thermosyphon loop.

A study on performance enhancement of feedforward controller for rolling process. (압연공정에서의 피드포워드 제어기 성능 개선에 관한 연구)

  • 박상혁;이혜영;이달해
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.319-322
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    • 1996
  • Automatic gauge control algorithm in rolling process is composed of several functions. Among them feedforward control method is used to compensate irregularity of input strip thickness before rolling process. Since it's very difficult to get an explicit relation between the degree of irregularity of input strip and manipulated variables, approximate linear equation like straight line is used in real system. Furthermore parameters included in such static equation should be changed by characteristics of input strip and modified by roll states. Despite this problem, rolling process use variables in feedfroward controller as a constant. Therefore this problem increases the possibilities of irregularity of thickness control. This paper presents an algorithm which can properly infer present states of process and intelligently manipulate the parameter of feedforward controller.

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Closed-form solution for the buckling behavior of the delaminated FRP plates with a rectangular hole using super-elastic SMA stitches

  • Soltanieh, Ghazaleh;Yam, Michael CH.;Zhang, Jing-Zhou;Ke, Ke
    • Structural Engineering and Mechanics
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    • v.81 no.1
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    • pp.39-50
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    • 2022
  • Layer separation (delamination) is an essential threat to fiber-reinforced polymer (FRP) plates under dynamic, static, and fatigue loads. Under compressive load, the growth of delamination will lead to structural instability. The aim of this paper is to present a method using shape memory alloy (SMA) stitches to suppress the delamination growth in a FRP plate and to improve the buckling behavior of the plate with a rectangular hole. The present paper is divided into two parts. Firstly, a closed-form (CF) formulation for evaluating the buckling load of the FRP plate is presented. Secondly, the finite element method (FEM) will be employed to calculate the buckling loads of the plates which serves to validate the results obtained from the closed-form method. The novelty of this work is the development of the closed-form solution using the p-Ritz energy approach regarding the stress-dependent phase transformation of SMA to trace the equilibrium path. For the FEM, the Lagoudas constitutive model of the SMA material is implemented in FORTRAN programming language using a user material subroutines (VUMAT). The model is simulated in ABAQUS/Explicit solver due to the nature of the loading type. The cohesive zone model (CZM) is applied to simulate the delamination growth.