• Title/Summary/Keyword: Ritz Method

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Characteristics of Smart Skin for Wireless LAN system under Buckling Load (무선 랜 시스템용 스마트 스킨의 좌굴 특성 연구)

  • 전지훈;유치상;황운봉;박현철;박위상
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.42-45
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    • 2001
  • The characteristics of smart skin for wireless LAN system under compression load are investigated. The smart skin structure is composed of 3 layers of face material and 2 layers of core material. Theoretical formula for determining buckling load is derived by Rayleigh-Ritz method and compared with experimental result. The maximum length of specimen that buckling does not occur is determined by only face material. In the experiment, if load supporting capability and the antenna property such as radiation pattern and reflection coefficient were examined.

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Vibration Characteristics of Ring-Stiffened Composite Cylindrical Shells with Various Edge Boundary Conditions (다양한 경계조건을 갖는 링보강 복합재료 원통셸의 진동특성해석)

  • 이영신;김영완;최명환;류충현;신도섭
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.359-364
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    • 1998
  • The effects of boundary conditions on natural frequencies for the ring stiffened composite cylindrical shells are investigated by theoretical method. The Love's thin shell theory and the discrete stiffener theory with beam functions in the Ritz procedure are used to derive the frequency equation. Five different boundary conditions such as clamped-clamped, simply supported-simply supported, free-free, clamped-free, clamped-simply supported are considered in this study. Also, the experimental investigation is presented to validate the theoretical results.

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Dynamic Modeling of a Rectangular Plate with Piezoelectric actuators and Sensors (압전세라믹이 부착된 정방형 판의 동적 모델링)

  • Kim, Seung R.;Moon K. Kwak;Seok Heo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.309.1-309
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    • 2002
  • This paper is concerned with the dynamic modeling of a rectangular plate with piezoelectric actuators and sensors. The experimental frequency response plots can be used to verify the theoretical modeling. The active vibration control was achived by using positive position feedback controller. Theoretical analysis will follow.

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A Study on the Coupled Vibration of Train wheel and Rail Dynamic Chaacteristics of Train Wheel with the Stepped Thickness (차륜과 철로의 연성진동에 관한 연구)

  • 김광식;박문태
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.142-144
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    • 1986
  • The research was conducted for the purpose of examining the dynamic characteristics of train wheel at the running state and preventing the vibrations of the high speed railway. The stress at the boundary surface of web and rim, .sigma./sub c/, was analyzed in consideration of the uniform In-plane compressive stress depending on the conditions of rolling and the rotation of train wheel. Then the equation of transverse vibration of the annular plate with the stepped thickness was analyzed by Rayleigh-Ritz's method.

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Geometrically Nonlinear Analysis of Cantilevered Cylindrical Shells under Lateral Load (탑상형 원통쉘의 휨내력에 관한 기하학적 비선형 해석)

  • 최현식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.55-62
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    • 1993
  • Elastic failures of cantilevered cylindrical shells subject to lateral load are caused mainly by geometrical nonlinearlity. Geometerally nonlinear analysis is call for so as to investigate failure mechanisms. In this paper the geometericlly nonlinear analysis of cantilevered cylindrical shells under transverse load by the Rayleigh-Ritz Method is presented to examine the collapse loads and the process of cross-sectional deformations. The critical stress for relatively long cylinders have a tendency to show low level in comparison with the classical buckling stress for compression.

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Natural Frequency of L-type Folded Plate (L-형 절곡판의 고유진동수 해석)

  • Lee, Kil-Woo;Chung, Kang
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.3
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    • pp.100-108
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    • 1989
  • The frequency equation and numerical process of natural frequencies for several boundary conditions of L-type folded plate given to the different thickness and lenth are derived by using Rayleigh-Ritz method in this study. Those natural frequencies are attaind by choosing the proper eigenfunction for boundary conditions of x-direction and y-direfction beams, by considering the convergence of numerical results.

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Free vibration analysis of clamped free circular cylindrical shells (일단고정-일단자유 원통 셸의 진동 해석)

  • 임정식
    • Journal of KSNVE
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    • v.6 no.1
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    • pp.45-56
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    • 1996
  • Frequency equation for clamped-free circular cylindrical thin shell is derived by the application of Rayleigh-Ritz method using the Sanders shell equation. The cubic frequency equation is solved for each axial and circumferential mode number. Integration of the beam characteristic funcitions was performed via Mathematica which results in more accurate integration of the beam functions that affect the accuracy of the frequency. The natural frequencies from this calculation are compared with existing results. It shows that this calculation predicts natural frequencies closer to the test results than existing results.

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EIGENVALUE ANALYSIS USING PIECEWISE CUBIC B-SPLINE (CUBIC B-SPLINE을 이용한 고유치 해석)

  • Kim Young-Moon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.355-360
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    • 2000
  • This paper presents properties of piecewise cubic B-spline function and Rayleigh-Ritz method to compute the smallest eigenvales. In order to compute the smallest eigenvalues, Rayleigh quotient approach is used and four different types of finite element approximating functions corresponding to the statical deflection curve, spanned by the linearly independent set of piecewise cubic B-spline functions with equally spaced 5 knots from a partion of [0, 1], each satisfying homogeneous boundary conditions with constraining effects are used to compute the smallest eigenvalues for a Sturm-Lionville boundary equations of u"+ λ²u=0, u(0.0)=u(0.0)=0, 0≤x≤1.0.

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Investigating dynamic stability behavior of sandwich plates with porous core based on a numerical approach

  • Zhu, Zhihui;Zhu, Meifang
    • Structural Engineering and Mechanics
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    • v.83 no.5
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    • pp.609-615
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    • 2022
  • A numerical approach for dynamic stability analysis of sandwich plates has been provided using Chebyshev-Ritz-Bolotin approach. The sandwich plate with porous core has been formulated according to a higher-order plate. All of material properties are assumed to be dependent of porosity factor which determines the amount or volume of pores. The sandwich plate has also been assumed to be under periodic in-plane loading of compressive type. It will be shown that stability boundaries of the sandwich plate are dependent on static and dynamical load factors, porosity factor, porosity variation and core thickness.

Frequency Optimization Using by Feasible Direction Method (유용방향법에 의한 고유진동수 최적화)

  • 조희근;박영원
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.10a
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    • pp.410-415
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    • 2000
  • In this paper feasible direction method which is one of the optimization method is adopted to natural frequency optimization. In order to find the optimum design of structures that have characteristic natural frequency range, a numerical optimization method to solving eigenvalue problems is a widely used approach. However most cases, it is difficult to decide the accurate thickness and shape of structures that have allowable natural frequency in design constraints. Parallel analysis algorithm involving the feasible direction optimization method and Rayleight-Ritz eigenvalue solving method is developed. The method is implemented by using finite element method. It calculated the optimal thickness and the thickness ratio of each element of 2-D plane element through the parallel algorithm method which satisfy the design constraint of natural frequency.

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