• Title/Summary/Keyword: Assumed mode method

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A Method for Calculation of Compressive Strength of a One-Sided Stiffened Plate (편면 보강판의 압축강도 해석을 위한 한 방법)

  • C.D. Jang;S.I. Seo
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.117-124
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    • 1991
  • In this paper, a method to overcome inefficiency of the finite element method in the calculation of compressive strength of one-sided stiffened plates, is proposed. In this method the collapse modes of stiffened plates are assumed as follows. a) Overall buckling $\rightarrow$ Overall collapse b) Local buckling $\rightarrow$ Overall collapse c) Local buckling $\rightarrow$ Local collapse In each collapse mode, shape of deflection is assumed, and then elastic large deformation analysis based on the Rayleigh-Ritz method is carried out. One-sided stiffening effect is considered by taking into account of the moment due to eccentricity. Plastic analysis by assuming hinge lines is also carried out. The ultimate strength of a stiffened plate is obtained as the point of intersection of the elastic analysis curve and the plastic one. From this study, it is concluded that the angles between the plastic hinge lines in plastic collapse mode are determined as the ones which give the minimum collapse load, and these angles are different from the ones assumed in the previous studies. Minimum stiffness ratios can also be calculated. Calculated results according to this method show good agreements with the results by the finite element method.

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Analysis of Coaxial Line Transmission Charactristics and Shielding Effectiveness Using by Finite Difference Time Domain Method (시간영역 유한차분법을 이용한 동축선로의 전송특성 및 차폐효과 해석)

  • 남상식;윤현보;김정렬;백낙준;우종우
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.6 no.4
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    • pp.11-19
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    • 1995
  • In this paper, the Finite Difference Time Domain (FDTD) method is used to analyse the characteristics of the coaxial line transmission coefficent, shielding effectiveness, and compared to results of the moment method. The excitation mode of the Gaussian pulse is assumed to be a TEM-mode instead of the TE or TM-mode and in order to eliminate the reflected wave with in short length of the line. Calculated value of shielding effectiveness of the coaxial line by the FDTD are in good agreement with the results of the moment method.

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A Review of Mode Synthesis Techniques and Its Application Between FE and Experimental Model (부분 구조 합성법의 고찰 및 유한 요소 모델과 실험 모델과의 합성에 관한 연구)

  • 최재웅;이상설;박윤식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.4
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    • pp.799-806
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    • 1989
  • Component mode synthesis (CMS) method can be divided into free, fixed and hybrid interface method according to each component's connecting conditions. In this paper, major mode synthesis methods were reviewed and their accuracies were examined by comparing the calculated eigenvalues with those from full finite element (FE) model. Also, CMS is expanded into the coupling between finite element (FE) and experimental model. Since the assumed experimental data seldom have slope information, the slope information at the interface points is prepared by curve-fitting of the calculated values. A simple beam structure to show the effectiveness of the above method, and we found that it can improve the accuracy of the synthesis method in calculation, expecially in the low modes.

An Approximate Method for the Buckling Analysis of a Composite Lattice Rectangular Plate

  • Kim, Yongha;Kim, Pyunghwa;Kim, Hiyeop;Park, Jungsun
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.3
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    • pp.450-466
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    • 2017
  • This paper defines the modified effective membrane stiffness, bending stiffness considering the directionally dependent mechanical properties and mode shape function of a composite lattice rectangular plate, which is assumed to be a Kirchhoff-Love plate. It subsequently presents an approximate method of conducting a buckling analysis of the composite lattice rectangular plate with various boundary conditions under uniform compression using the Ritz method. This method considers the coupled buckling mode as well as the global and local buckling modes. The validity of the present method is verified by comparing the results of the finite element analysis. In addition, this paper performs a parametric analysis to investigate the effects of the design parameters on the critical load and buckling mode shape of the composite lattice rectangular plate based on the present method. The results allow a database to be obtained on the buckling characteristics of composite lattice rectangular plates. Consequently, it is concluded that the present method which facilitates the calculation of the critical load and buckling mode shape according to the design parameters as well as the parametric analysis are very useful not only because of their structural design but also because of the buckling analysis of composite lattice structures.

control of a Flexible Robot Manipulator (유연한 로봇 팔의 제어 방법)

  • 박정일;박종국
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.1
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    • pp.183-193
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    • 1994
  • The dynamic equation of a flexible robot manipulator is formulated by the assumed-mode method and the Lagrange equation. The controller is designed for a flexible robot manipulator including a joint actuator. The controller consists of a parmaeter estimator and the adaptive controller. A parameter estimator evaluates ARMA model`s parameter using RLS algorithm. An adaptive controller is designed based on a reference model and a minimum prediction error controller.

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Dynamic behavior of axially functionally graded simply supported beams

  • Selmi, Abdellatif
    • Smart Structures and Systems
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    • v.25 no.6
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    • pp.669-678
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    • 2020
  • This paper focuses on the free vibration analysis of axially functionally graded (FG) Euler-Bernoulli beams. The material properties of the beams are assumed to obey the linear law distribution. The complexities in solving differential equation of transverse vibration of composite beams which limit the analytical solution to some special cases are overcome using the Differential Transformation Method (DTM). Natural frequencies and corresponding normalized mode shapes are calculated. Validation targets are experimental data or finite element results. Different parameters such as reinforcement distribution, ratio of the reinforcement Young's modulus to the matrix Young's modulus and ratio of the reinforcement density to the matrix density are taken into investigation. The delivered results prove the capability and the robustness of the applied method. The studied parameters are demonstrated to be very crucial for the normalized natural frequencies and mode shapes.

Free Vibration of a Rectangular Plate Partially in Contact with a Liquid at Both Sides (양면에서 부분적으로 유체와 접하는 사각평판의 고유진동)

  • Jeong, Kyeong-Hoon;Lee, Gyu-Mahn;Kim, Tae-Wan;Park, Keun-Bae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.1
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    • pp.123-130
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    • 2008
  • An analytical method for the free vibration of a flexible rectangular plate in contact with water is developed by the Rayleigh-Ritz method. The plate clamped along the edges is partially contacted with water at both sides. It is assumed that the contained water is incompressible and inviscid. The wet mode shape of the plate is assumed as a combination of the dry mode shapes of a clamped beam. The liquid motion is described by using the liquid displacement potential and determined by using the compatibility conditions along the liquid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict excellently the fluid-coupled natural frequencies comparing with the finite element analysis result.

PID Control of a flexible robot rotating in vertical plane (수직면에서 회전운동을 하는 탄성로봇의 PID 제어)

  • Kang, Junwon;Oh, Chaeyoun;Kim, Kiho
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.11
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    • pp.34-41
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    • 1997
  • This paper presents a technique to control a very flexible robot moving in a vertical plane. The flexible robot is modeled as an Euler-Bernoulli beam. Elastic deformation is approximated using the assmed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. A control algorithm is developed using a simple PID cnotrol tech- nique. The proportional, integral and deivative control gains are determined based on the dominant pole placement method and tuned to show no overshoot and no steady state error, and short settling time. The effectiveness of the developed control scheme is showed in the hub angular diaplacement control experiment. Three different end masses are uned in the experiment. The experimental results show that developed control algorithm is very effective showing little overshoot, no steady state error, and less than 2.5 second settl- ing time in case of having an end mass which is equivalent to 45% of the manipulator mass. Also the experimental results show that the residual vibration fo the end point is effectively controlled.

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A Study on the Parameter Estimation of DURUMI-II for the Fixed Right Elevator Using Flight Test Data

  • Park Wook-Je;Kim Eung-Tai;Seong Kie-Jeong;Kim Yeong-Cheol
    • Journal of Mechanical Science and Technology
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    • v.20 no.8
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    • pp.1224-1231
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    • 2006
  • The stability and control derivatives of DURUMI-lI UAV using the flight test are obtained. The flight test data is gathered from the normal flight condition (normal mode) and the flight condition assumed as the right elevator fixed (fault mode). Using real-time parameter estimation techniques, applied to Fourier transform regression method, simulates the aircraft motion. From the result, the fault of control surface is to be detected. In this paper, the results of the real- time parameter estimation techniques are compared with the results of the Advanced Aircraft Analysis (AAA). Using the aerodynamic derivatives, it provides the base line of normal/failure for the control surface by using the on-line parameter estimation of Fourier transform regression. In flight, this approach maybe helpful to detect and isolate the fault of primary control surface. It is explained how to perform the flight condition assumed as the right elevator fixed in the flight test. Also, it is mentioned how to switch between the normal flight condition and the assumed fault flight condition.

Design of the controller with sliding mode for flexible robot arm (유연한 로봇 팔의 슬라이딩모드를 갖는 제어기 설계)

  • 김성태;임규만;함운철
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.547-551
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    • 1996
  • In this paper, robust vibration control of a one-link flexible robot arm based on variable structure system is discussed. We derive dynamic equations of it using a Lagrangian assumed modes method based on Bernoulli-Euler Beam theory. The optimal sliding surface is designed and the problem of chattering is also solved by the adoption of a continuous control law within a small neighborhood of the switching hyperplane.

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