• Title/Summary/Keyword: assumed mode

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Combined Optimal Design of Structure-Control Systems by Sliding Mode Control (슬라이딩모드 제어 기법을 이용한 구조-제어 시스템의 통합 최적 설계)

  • Park, Jung-Hyeon
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.10
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    • pp.45-51
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    • 2002
  • To achieve the lightweight and robust design of a structure, it is requested to design a structure and its control system simultaneously, which is called as the combined optimal design. A constant-cross-sectional area cantilever beam was chosen as an example for the applying the optimum design method. An initial load and a time varying disturbance were applied at the free end of the beam. Sliding mode control was selected due to its insensitiveness to the disturbance compared with other modes. It is known that the sliding mode control is robust to the disturbance and the uncertainty only if a matching condition is met, after giving a switching hyper plane. In this study, the optimum method was used for the design of the switching hyper plane and the objective function of the optimum switching hyper plane was assumed to be the objective one of the control system. The total weight of the structure was treated as a constraint and the cross sectional areas of the beam were considered as design variables, which means a nonlinear programming problem. The sequential linear programming method was applied to solve it. As a result of the optimum design, the effect of attenuating vibrations has been improved obviously. Moreover, lightweight design of the structure became possible from the relationship of the weight of the structure and the control objective function.

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.

Vibration of axially functionally graded nano rods and beams with a variable nonlocal parameter

  • Aydogdu, Metin;Arda, Mustafa;Filiz, Seckin
    • Advances in nano research
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    • v.6 no.3
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    • pp.257-278
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    • 2018
  • Vibration of axially functionally graded nano-rods and beams is investigated. It is assumed that the material properties change along the rod and beam length. The Ritz method with algebraic polynomials is used in the formulation of the problems. Stress gradient elasticity theory is utilized in order to include the nonlocal effects. Frequencies are obtained for different boundary conditions, geometrical and material properties. Nonlocal parameter is assumed as changing linearly or quadratically along the length of the nanostructure. Frequencies are compared to constant nonlocal parameter cases and considerable differences are observed between constant and variable nonlocal parameter cases. Mode shapes in various cases are depicted in order to explain the effects of axial grading.

탄성로봇 위치제어 실험을 위한 제어기법의 비교

  • 강준원;권혁조;오재윤
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.224-229
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    • 1997
  • This paper compares the control techniques for position control experiments of a fixible robot moving in a vertical plane. The flexible manipulator is modeled as an Euler-beroulli beam. Elastic deformantion is representedusing the assumed model 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. Control schemes are developed using PID control,pole placement control and discrete Linear Quadratic Regulater(LQQ). The effectiveness of the developed control schems are compared using computer simulation in view of practical experiment. The simulation results show that PID control is very effective in practical implementation.

End Bearing Capacity of a Pile in Cohesionless Soils (사질토에 있어서 말뚝의 선단부 지지력)

  • 이명환
    • Proceedings of the Korean Geotechical Society Conference
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    • 1988.06c
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    • pp.71-123
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    • 1988
  • The aim of this paper is to examine the end bearing capacity of a pile in cohesionless soils. The ode of failure of soil due to pile installation is assumed from experimental observation of actual soil deformation. A new solution is proposed complying with the assumed mode of failure by employing the theory of cavity expansion. The effect of curvature of failure envelope is studied in relation to tile proposed solution. The influence of a curved failure envelope becomes larger with increasing degree of curvature and the level of confining stress. This effect in some cases or reduce the end bearing capacity by tore the 80 percent compared with that given by a straight failure envelope. For practical application of tile proposed solution, the method of determining the average volume change in the plastic zone is re-evaluated. The proposed solution is confirmed by comparing the theoretical values with experimental results obtained from model pile tests in a calibration chamber. The comparison shows that the proposed solution provides a reasonable prediction of end bearing capacity for both weak and strong grained soils.

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Free Vibration Analysis of a Rotating Cantilever Beam Made-up of Functionally Graded Materials (경사기능재료를 사용한 회전하는 외팔보의 진동해석)

  • Lee, Ki Bok;Yoo, Hong Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.8
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    • pp.742-751
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    • 2013
  • The vibration analysis of a rotating cantilever beam made-up of functionally graded materials is presented based on Timoshenko beam theory. The material properties of the beams are assumed to be varied through the thickness direction following a simple power-law form. The frequency equations, which are coupled through gyroscopic coupling terms, are calculated using hybrid deformation variable modeling along with the Rayleigh-Ritz assumed mode methods. In this study, resulting system of ordinary differential equations shows the effects of power-law exponent, angular speed, length to height ratio and Young's modulus ratio. It is believed that the results will be a reference with which other researchers and commercial FE analysis program, ANSYS can compare their results.

A Study on the Nonlinear Analysis of Containment Building in Korea Standard Nuclear Power Plant (한국형 원전 격납건물의 비선형해석에 관한 연구)

  • Lee, Hong-Pyo;Choun, Young-Sun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.694-697
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    • 2007
  • In this paper, a nonlinear finite element analysis program NUCAS, which has been developed for assessment of pressure capacity and failure mode for nuclear containment building is described. Degenerated shell element with assumed strain method and low-order solid element with enhanced assumed strain method is adapted to microscopic material and elasto-plastic material model, respectively. Finally, the performance of the developed program is tested and demonstrated with several examples. From the numerical tests, the present results show a good agreement with experimental data or other numerical results.

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Free Vibrations and Buckling of Rectangular Plates with Linearly Varying In-Plane Loading

  • Chang, Kyong-Ho;Shim, Hyun-Ju;Kang, Jae-Hoon
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.4 s.14
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    • pp.99-111
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    • 2004
  • An exact solution procedure is formulated for the free vibration and buckling analysis of rectangular plates having two opposite edges simply supported when these edges are subjected to linearly varying normal stresses. The other two edges may be clamped, simply supported or free, or they may be elastically supported. The transverse displacement (w) is assumed as sinusoidal in the direction of loading (x), and a power series is assumed in the lateral (y) direction (i.e., the method of Frobenius). Applying the boundary conditions yields the eigenvalue problem of finding the roots of a fourth order characteristic determinant. Care must be exercised to obtain adequate convergence for accurate vibration frequencies and buckling loads, as is demonstrated by two convergence tables. Some interesting and useful results for vibration frequencies and buckling loads, and their mode shapes, are presented for a variety of edge conditions and in-plane loadings, especially pure in-plane moments.

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Narrative Thought and ITS Implication on the Science Education (내러티브 사고의 과학교육적 함의)

  • Kim, Man-Hee;Kim, Beom-Ki
    • Journal of The Korean Association For Science Education
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    • v.22 no.4
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    • pp.851-861
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    • 2002
  • In this paper, two modes of thought are assumed, which are known as the paradigmatic and the narrative mode of thought by Bruner(1985; 1986). The former leads to well-formed argument, but the latter to good story; each providing distinctive ways of ordering experience, of constructing reality. Though the two are complementary, but not reducible to one another. However modern schooling has focused on the paradigmatic mode. It has come to its peak in science education. Recently some educators began to gaze at the narrative mode in other humanities, but not science. Narrative is commonly considered to be foreign to science. But many scientists are convinced that modern science depends on speculation much more than observation. The speculation is conducted by intrapersonal or interpersonal narrative, which was called "science-making" by Bruner(1996). The purpose of this paper is to introduce the narrative mode of thought compared to paradigmatic mode as the new concepts and to discuss its implications on the science education. Three implications will be suggested. The first holds that science class should improve student's narrative sensibility throughout the live science-making. The second holds that the narrative mode of thought should be used with the support of the paradigmatic mode in science classroom. Exactly narrative interpretations are adjuncts to scientific explanations. The third holds that the evaluation method should be developed for the narrative work in science education.

Vibration Characteristics of Conical Shells with Linearly Varying Thickness (선형적으로 두께가 변하는 원추형 셸의 진동특성)

  • Yeo, D.J.;Cho, I.S.
    • Journal of Power System Engineering
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    • v.12 no.2
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    • pp.35-40
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    • 2008
  • This paper deals with the free vibrations of conical shells with linearly variable thickness by the transfer influence coefficient method. The classical thin shell theory based upon the Flugge theory is assumed and the governing equations of a conical shell are written as a coupled set of first order matrix differential equations using the transfer matrix. The Runge-Kutta-Gill integration method is used to solve the governing differential equation. The natural frequencies and corresponding mode shapes are calculated numerically for the conical shells with linearly variable thickness and various boundary conditions at the edges. The present method is applied to conical shells with linearly varying thickness, and the effects of the semi-vertex angle, the number of circumferential waves and thickness ratio on vibration are studied.

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