• Title/Summary/Keyword: Assumed mode method

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The Buckling Analysis of Shells of Revolution (회전(回轉) SHELL의 좌굴(挫屈) 해석(解析))

  • S.J.,Yim;C.D.,Jang;C.H.,Youn
    • Bulletin of the Society of Naval Architects of Korea
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    • v.21 no.2
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    • pp.19-27
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    • 1984
  • An extension of the finite element method to the stability analysis of shells of revolution under static axisymmetric loading is presented in this paper. A systematic procedure for the formulation of the problem is based upon the principle of virtual work. This procedure results in an eigenvalue problem. For solution, the shell of revolution is discretized into a series of conical frusta. The buckling mode in the circumferential direction is assumed, this assumption makes the problem economical for the computing time. The present method is applied to a number of shells of revolution, under axial compression or lateral pressure, and comparision are made with other theoretical results. The results show good agreement each other. The effects of aspect ratio, boundary conditions and buckling modes on the buckling strength of shells of revolution are studied. Also the optimum shape of cylindrical shell under uniform axial compression is obtained from the view point of structural stability.

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Dynamics of a rotating beam with flexible root and flexible hub

  • Al-Qaisia, A.A.
    • Structural Engineering and Mechanics
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    • v.30 no.4
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    • pp.427-444
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    • 2008
  • A mathematical model for the nonlinear dynamics of a rotating beam with flexible root attached to a rotating hub with elastic foundation is developed. The model is developed based on the large planar and flexural deformation theory and the potential energy method to account for axial shortening due to bending deformation. In addition the exact nonlinear curvature is used in the system potential energy. The Lagrangian dynamics and the assumed mode method is used to derive the nonlinear coupled equations of motion hub rotation, beam tip deflection and hub horizontal and vertical displacements. The derived nonlinear model is simulated numerically and the results are presented and discussed for the effect of root flexibility, hub stiffness, torque type, torque period and excitation frequency and amplitude on the dynamic behavior of the rotating beam-hub and on its stability.

The Design of Variable Structure Controller for the System in Phase Canonical Form with Incomplete State Measurements (비 측정 상태변수를 갖는 위상 표준형계통에 대한 가변구조 제어기의 설계)

  • 박귀태;최중경
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.8
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    • pp.902-913
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    • 1992
  • There have been several control schemes for the single input systems with unmeasurable state variables using variable structure control(VSC) theory. In the previous VSC, the systems must be represented in phase canonical form and the complete measurements for each state variable must be assumed. In order to eliminate these restrictions several VSC methods were proposed. And especially for the systems in phase canonical form with unmeasurable state variables, the reduced order switching function algorithm was proposed. But this method has many drawbacks and can not be used in the case of general form (not phase canonical form) dynamic system. Therefore this paper propose new construction method of switching fuction for the systems in phase canonical form, which reduce the restriction of reduced order switching function algorithm. And this algorithm can be realized for any state representation and adopted in the systems where not all states are available for switching function synthesis or control.

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Beam Vibration Suppression with Translational and Rotational Damped Dynamic Vibration Absorbers (병진 및 회전 감쇠동흡진기를 사용한 보의 진동저감)

  • Park, Sung Gyu;Lee, Shi Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.6_spc
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    • pp.721-728
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    • 2016
  • The combined rotational and translational dynamic vibration absorbers (DVA) with no dampers for the beam vibration control can effectively isolate the vibration within the external excitation force region. This paper investigates the damping efficacy for the combined rotational and translational dynamic vibration absorbers to impose some robustness to the DVA system for the excitation force frequency variation. The beam is assumed to be subjected to a concentrated harmonic excitation force. The solution to the problem is found based on Galerkin method.

Vibration Analysis of a Beam Translating over Supports in Vertical Motion (수직운동하는 지지대 상에서 직진운동하는 보의 진동해석)

  • 정찬교;김창부
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.10a
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    • pp.189-196
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    • 1996
  • Vibration of a beam translating over supports in vertical motion is investigated in this paper. Equations of motion are formulated using the virtual work principle by regarding the supports as kinematical constraints imposed on an unrestrained beam and by discretizing the beam via the assumed mode method. Differential-algebraic equations of motion are derived and reduced to differential equations in independent generalized coordinates by the generalized coordinate partitioning method. Geometric stiffness of the beam due to translating motion is considered and how the geometric stiffness of beam affects dynamic stability is also investigated. Instability of the beam. in various conditions is also investigated using Floquet theory and then the results are verified through the dynamic response analysis. Results of numerical simulation are presented for various prescribed motions of the beam.

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Effect of Internal Fluid Resonance on the Performance of a Floating OWC Device

  • Cho, Il Hyoung
    • Journal of Ocean Engineering and Technology
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    • v.35 no.3
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    • pp.216-228
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    • 2021
  • In the present study, the performance of a floating oscillating water column (OWC) device has been studied in regular waves. The OWC model has the shape of a hollow cylinder. The linear potential theory is assumed, and a matched eigenfunction expansion method(MEEM) is applied for solving the diffraction and radiation problems. The radiation problem involves the radiation of waves by the heaving motion of a floating OWC device and the oscillating pressure in the air chamber. The characteristics of the exciting forces, hydrodynamic forces, flow rate, air pressure in the chamber, and heave motion response are investigated with various system parameters, such as the inner radius, draft of an OWC, and turbine constant. The efficiency of a floating OWC device is estimated in connection with the extracted wave power and capture width. Specifically, the piston-mode resonance in an internal fluid region plays an important role in the performance of a floating OWC device, along with the heave motion resonance. The developed prediction tool will help determine the various design parameters affecting the performance of a floating OWC device in waves.

A Literature Study on the Combination of acupoints of HANGYEOK and YEOLGYEOK in the Saam Acupuncture Method (사암침법 한격과 열격의 경혈구성에 관한 고찰)

  • Yu, Jun-Sang;Han, Suzy;Yun, Dong Won
    • The Journal of Korean Medicine
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    • v.41 no.3
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    • pp.81-97
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    • 2020
  • Objectives: The objective of this study is to review the methods of combining acupoints of HANGYEOK(Cooling Mode) and YEOLGYEOK(Heating Mode) in Saam Acupuncture Method. Methods: We searched and investigated the journals and literatures by OASIS(Korea Institute of Oriental Medicine) and relevant searching engines with the key word "Saam, Hangyeok, Yeolgyeok". Unfortunately there was no relevant articles on this theme except six literatures. Six literatures with the key words relevant to Saam and acupuncture were selected and analyzed according to each composition of acupuncture prescription especially focusing on HANGYEOK and YEOLGYEOK. Results: Analyzing HANGYEOK and YEOLGYEOK of 12 meridians, two different methods emerged. In HANGYEOK to treat Heat Pattern, one method is to tonify Water points and directly sedate Fire points. The other is also to tonify Water point, but sedate Earth points instead of Fire points. It is assumed that Earth sedation method is to eradicate the underlying Fire. In only Heart meridian and Pericardium meridian there is one method to treat Heat Pattern: Water tonification and Fire Sedation. In YEOLGYEOK to treat Cold Pattern, there is one method to tonify Fire points and sedate Water points. In Pericardium meridian and Triple Energizer meridian there are some different combination of acupoints depending on literatures. Conclusions: Considering HANGYEOK and YEOLGYEOK in Saam Acupuncture Method, two methods are mainly discussed in HANGYEOK; Water Tonification Fire Sedation and Water Tonification Earth Sedation. To remove the underlying Fire, it is regarded that Water Tonification Earth Sedation is appropriate and close to Saam's thought.

A Method for the Preliminary Estimation of Vertical Natural Vibations of High Speed Boats (고속선(高速船) 선체고유상하진동(船體固有上下振動)의 초기추정(初期推定) 방법(方法))

  • K.C.,Kim;H.B.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.17 no.1
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    • pp.25-29
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    • 1980
  • For the preliminary estimation of the vertical hull natural frequency, the Schlick's or Schlick-type formulae have been traditional ones and are still in common use today. Some investigators have made their efforts, based on statistical data of ships' system parameters, to extend the applicability of Schlick-type formulae to higher modes, or to utilize the Rayleigh method. For instance, the work done by Dinsenbacher et al.[5] belongs to the former and that of Nagamoto et al.[6] to the latter. In a part of his previous paper[7], the author, investigating the case of a cargo ship of medium size, suggested that provided statistically simplified curves such as trapezoid of system parameter distributions are available in hands, direct utlization of an ordinary computer program can be also an another convenient method by which we can obtain both natural frequencies and normal mode shapes. In this paper, to confirm the feasibility of the above suggestion, four high speed boats are investigated. The system parameters of them are originally given in [5]. The computer program used here is one confiled based on a calculation method derived from Myklestal-Prohl modeling of hull, transfer matrix formulation and an extended Gumbel's initial value method for solving frequency equation. The results of the investigation show that the direct calculation based on statistically oriented and reasonably assumed trapezoidal mean curves of system parameter distributions can give us natural frequencies within about 5% deviation up to several-noded modes and normal mode shapes serviceable at least up to 4- or 5-noded modes in comparision with those based on actual distributions of system parameters. For this simplified method the actual data required for input are only of ship length, displacement, total added mass, bending and shear rigidity at amidship. They are available at the early stage of design. By this method we can also easily trace variations of vibration characteristics in the course of ship design cycles.

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Damage detection of shear buildings using frequency-change-ratio and model updating algorithm

  • Liang, Yabin;Feng, Qian;Li, Heng;Jiang, Jian
    • Smart Structures and Systems
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    • v.23 no.2
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    • pp.107-122
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    • 2019
  • As one of the most important parameters in structural health monitoring, structural frequency has many advantages, such as convenient to be measured, high precision, and insensitive to noise. In addition, frequency-change-ratio based method had been validated to have the ability to identify the damage occurrence and location. However, building a precise enough finite elemental model (FEM) for the test structure is still a huge challenge for this frequency-change-ratio based damage detection technique. In order to overcome this disadvantage and extend the application for frequencies in structural health monitoring area, a novel method was developed in this paper by combining the cross-model cross-mode (CMCM) model updating algorithm with the frequency-change-ratio based method. At first, assuming the physical parameters, including the element mass and stiffness, of the test structure had been known with a certain value, then an initial to-be-updated model with these assumed parameters was constructed according to the typical mass and stiffness distribution characteristic of shear buildings. After that, this to-be-updated model was updated using CMCM algorithm by combining with the measured frequencies of the actual structure when no damage was introduced. Thus, this updated model was regarded as a representation of the FEM model of actual structure, because their modal information were almost the same. Finally, based on this updated model, the frequency-change-ratio based method can be further proceed to realize the damage detection and localization. In order to verify the effectiveness of the developed method, a four-level shear building was numerically simulated and two actual shear structures, including a three-level shear model and an eight-story frame, were experimentally test in laboratory, and all the test results demonstrate that the developed method can identify the structural damage occurrence and location effectively, even only very limited modal frequencies of the test structure were provided.

Free Vibration Analysis of Laminated Composite Stiffened Plates under the In-plane Compression and Shear Loads (면내 압축 및 전단하중을 받는 적층 복합 보강 판의 자유진동해석)

  • Han, Sung-Cheon;Choi, Samuel
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1A
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    • pp.191-203
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    • 2006
  • The vibration characteristics of composite stiffened laminated plates with stiffener is presented using the assumed natural strain 9-node shell element. To compare with previous research, the stiffened plates are composed of carbon-epoxy composite laminate with a symmetric stacking sequence. Also, the result of the present shell model for the stiffener made of composite material is compared with that of the beam model. In the case of torsionally weak stiffener, a local buckling occurs in the stiffener. In this case, the stiffener should be idealized by using the shell elements. The current investigation concentrates upon the vibration analysis of rectangular stiffened and unstiffened composite plates when subjected to the in-plane compression and shear loads. The in-plane compression affect the natural frequencies and mode shapes of the stiffened laminated composite plates and the increase in magnitude of the in-plane compressive load reduces the natural frequencies, which will become zero when the in-plane load is equal to the critical buckling load of the plate. The natural frequencies of composite stiffened plates with shear loads exhibit the higher values than the case of without shear loads. Also, the intersection, between the curves of frequencies against in-plane loads, interchanges the sequence of some of the mode shapes as a result of the increase in the inplane compressive load. The results are compared with those available in the literature and this result shows that the present shell model for the stiffened plate gives more accurate results. Therefore, the magnitude, direction type of the in-plane shear and compressive loads in laminated composite stiffened plates should be selected properly to control the specific frequency and mode shape. The Lanczos method is employed to solve the eigenvalue problems.