• Title/Summary/Keyword: Assumed modes

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A new finite element based on the strain approach with transverse shear effect

  • Himeur, Mohammed;Benmarce, Abdelaziz;Guenfoud, Mohamed
    • Structural Engineering and Mechanics
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    • v.49 no.6
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    • pp.793-810
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    • 2014
  • This research work deals with the development of a new Triangular finite element for the linear analysis of plate bending with transverse shear effect. It is developed in perspective to building shell elements. The displacements field of the element has been developed by the use of the strain-based approach and it is based on the assumed independent functions for the various components of strain insofar as it is allowed by the compatibility equations. Its formulation uses also concepts related to the fourth fictitious node, the static condensation and analytic integration. It is based on the assumptions of tick plate.s theory (Reissner-Mindlin theory). The element possesses three essential external degrees of freedom at each of the four nodes and satisfies the exact representation of the rigid body modes of displacements. As a result of this approach, a new bending plate finite element (Pep43) which is competitive, robust and efficient.

Multiobjective State-Feedback Control of Beams with Piezoelectric Device (압전체가 부착된 보의 다목적 상태궤한제어)

  • Park, Chul-Hue;Hong, Seong-Il;Park, Hyun-Chul
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.828-833
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    • 2004
  • The performance of a mixed $H_{\infty}/H_2$ design with pole placement constraints based on robust vibration control for a piezo/beam system is investigated. The governing equation of motion for the piezo/beam system is derived by Hamilton's principle. The assumed mode method is used to discretize the governing equation into a set of ordinary differential equation. A robust controller is designed by $H_{\infty}/H_2$ feedback control law that satisfies additional constraints on the closed-loop pole location in the face of model uncertainties, which are derived for a general class of convex regions of the complex plane. These constraints are expressed in terms of linear matrix inequalities (LMIs) approach for the multiobjective synthesis. The validity and applicability of this approach for vibration suppressions of SMART structural systems are discussed by damping out the multiple vibrational modes of the piezo/beam system.

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A study on visualization about the flow mode of ER fluid using the DME (다전극을 이용한 ER유체 유동모드 가시화에 관한 연구)

  • Lee, Yuk-Hyung
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.1
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    • pp.1-7
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    • 2010
  • A new flow mode of ER fluid available for controlling the damping force by using DME(Discrete Multi-Electrode) is presented in this study. Various characteristics about the flow of ER fluid through the experiment of ER cluster behavior visualization can be assumed. The pressure in electrode length and voltage division mode is measured. An actuator with a damping effect through DME ER damper will be developed. This damper controls the damping force by using the displacement and velocity of the plant which consists of the various electrode length and voltage modes without a controller in the real system.

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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Adaptive Controller Design of the Flexible Robotic Manipulator (유연한 로보트 매니퓰레이터의 적응 제어기 설계)

  • 김승록;박종국
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.3
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    • pp.25-34
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    • 1992
  • This paper proposes a Self-Tuning control algorithm for tracking the reference trajectory by measuring the end-point of robot manipulator whose links are light and flexible, and the performance of it is tested through the computer simulation. As an object of system, a flexible robot manipulator with two-links is considered and an assumed mode shape method including gravity force is adopted to analyze the vibration modes for each links and dynamics equation is derived. The controller is designed as a combined form which consists of dynamic feedforward compensator and self-tuning feedback controller. The one supplies nominal torque and the other supplies variational torque to manipulator. Apart from the, K-incremental predictor is also proposed in order to eliminate the offset error. and it shows that the result of simulation adapted well to load change and rapid velocity.

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A comprehensive description for damage of concrete subjected to complex loading

  • Meyer, Christian;Peng, Xianghe
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.679-689
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    • 1997
  • The damage of concrete subjected to multiaxial complex loading involves strong anisotropy due to its highly heterogeneous nature and the geometrically anisotropic characteristic of the microcracks. A comprehensive description of concrete damage is proposed by introducing a fourth-order anisotropic damage tenser. The evolution of damage is assumed to be related to the principal components of the current states of stress and damage. The unilateral effect of damage due to the closure and opening of microcracks is taken into account by introducing projection tensors that are also determined by the current state of stress. The proposed damage model considers the different kinds of damage mechanisms that result in different failure modes and different patterns of microdefects that cause different unilateral effects. This damage model is embedded in a thermomechanically consistent constitutive equation in which hardening and the triaxial compression caused shear-enhanced compaction can also be taken into account. The validity of the proposed model is verified by comparing theoretical and experimental results of plain and steel fiber reinforced concrete subjected to complex triaxial stress histories.

Effects of rotary inertia shear deformation and non-homogeneity on frequencies of beam

  • Avcar, Mehmet
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.871-884
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    • 2015
  • In the present study, separate and combined effects of rotary inertia, shear deformation and material non-homogeneity (MNH) on the values of natural frequencies of the simply supported beam are examined. MNH is characterized considering the parabolic variations of the Young's modulus and density along the thickness direction of the beam, while the value of Poisson's ratio is assumed to remain constant. At first, the equation of the motion including the effects of the rotary inertia, shear deformation and MNH is provided. Then the solutions including frequencies of the first three modes for various combinations of the parameters of the MNH, depth to length ratios, and shear corrections factors are reported. To show the accuracy of the present results, two comparisons are carried out and good agreements are found.

In-plane vibrations of cracked slightly curved beams

  • Oz, H. Ridvan
    • Structural Engineering and Mechanics
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    • v.36 no.6
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    • pp.679-695
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    • 2010
  • In-plane vibrations of slightly curved beams having cracks are investigated numerically and experimentally. The curvature of the beam is circular and stays in the plane of vibration. Specimens made of steel with different lengths but with the same radius of curvature are used in the experiments. Cracks are opened using a hand saw having 0.4 mm thickness. Natural frequencies depending on location and depth of the cracks are determined using a Bruel & Kjaer 4366 type accelerometer. Then the beam is assumed as a Rayleigh type slightly curved beam in finite element method (FEM) including bending, extension and rotary inertia. A flexural rigidity equation given in literature for straight beams having a crack is used in the analysis. Frequencies are obtained numerically for different crack locations and depths. Experimental results are presented and compared with the numerical solutions. The natural frequencies are affected too much due to larger moments when the crack is around nodes. The effect can be neglected when it is at the location of maximum displacements. When the crack is close to the clamped end, the decrease in the frequencies in all modes is very high. The consistency of the results and validity of the equations are discussed.

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.

Thrust Caused by Oscillating Two-Dimensional Hydrofoil Moving in Propagating Unsteady Flow Field (전파하는 변동유장 중 전진하며 동요하는 2차원 수중 날개에 의한 추력)

  • Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.26 no.5
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    • pp.40-46
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    • 2012
  • This paper considers a two-dimensional hydrofoil that is fully submerged and oscillating with forward speed. The flow field is assumed to be a propagating vertical velocity field. Using the perturbation theory, the problem is linearized, and the leading-order lift force is surveyed. The thrust force is analytically derived as the second-order horizontal force. As an example, the lift and thrust for a flapping flat plate in heaving and pitching modes are analyzed. The parameters affecting the thrust are listed. The thrust is expressed in terms of the quadratic transfer functions in relation to the disturbances. The quadratic transfer functions are studied parametrically to assess the most favorable thrust.