• 제목/요약/키워드: clamped boundary condition

검색결과 87건 처리시간 0.033초

유체로 채워진 삼중 원통셸의 해석적 진동 특성 평가 (Evaluation of Analytical Vibration Characteristics for Triple Cylindrical Shells Filled with Fluid)

  • 지용관;이영신
    • 한국소음진동공학회논문집
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    • 제12권2호
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    • pp.150-160
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    • 2002
  • The free vibration characteristics of the triple cylindrical shells filled with fluid are investigated. The triple cylindrical shells are filled with compressible fluid. The boundary condition is clamped at both ends. Analytical method is developed to evaluate natural frequencies of triple cylindrical shells using Sanders' shell theory and courier series expansion by Stokes' transformation. Their results are compared with those of finite element method to verify the validation of the method developed. The modal characteristics of shells filled with fluid at region 1, 2 and 3 are evaluated.

Non-stochastic uncertainty response assessment method of beam and laminated plate using interval finite element analysis

  • Doan, Quoc Hoan;Luu, Anh Tuan;Lee, Dongkyu;Lee, Jaehong;Kang, Joowon
    • Smart Structures and Systems
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    • 제26권3호
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    • pp.311-318
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    • 2020
  • The goal of this study is to analytically and non-stochastically generate structural uncertainty behaviors of isotropic beams and laminated composite plates under plane stress conditions by using an interval finite element method. Uncertainty parameters of structural properties considering resistance and load effect are formulated by interval arithmetic and then linked to the finite element method. Under plane stress state, the isotropic cantilever beam is modeled and the laminated composite plate is cross-ply lay-up [0/90]. Triangular shape with a clamped-free boundary condition is given as geometry. Through uncertainties of both Young's modulus for resistance and applied forces for load effect, the change of structural maximum deflection and maximum von-Mises stress are analyzed. Numerical applications verify the effective generation of structural behavior uncertainties through the non-stochastic approach using interval arithmetic and immediately the feasibility of the present method.

다단 회전축계 형상의 진동 연구 (Vibration Analysis of a Multi-Stage Rotating Shaft Shape)

  • 송오섭;박상윤;강성환;서정석;김선홍
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 추계학술대회 논문집
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    • pp.730-735
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    • 2013
  • This paper contains various vibration analysis of multi-stage shaft shape such as the bending, torsional and axial vibration. The shaft system is modeled as Timoshenko beam with the transverse shear and rotary inertia effect and the equation of motion is derived by Hamilton's principle with considering clamped-free boundary condition. Then, eigenvalue problem of discrete equation of motion for multi-stage shaft model is solved and got results of the natural frequency through the numerical analysis. Obtained numerical analysis results through Matlab program were compared with those of FEM analysis to verify the results. This study suggests that design of shaft system be consider torsional and axial vibration as well as bending vibration.

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Vibration performance of composite steel-bar truss slab with steel girder

  • Liu, Jiepeng;Cao, Liang;Chen, Y. Frank
    • Steel and Composite Structures
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    • 제30권6호
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    • pp.577-589
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    • 2019
  • In this study, on-site testing was carried out to investigate the vibration performance of a composite steel-bar truss slab with steel girder system. Ambient vibration was performed to capture the primary vibration parameters (natural frequencies, damping ratios, and mode shapes). The composite floor possesses low frequency (< 10 Hz) and damping (< 2%). Based on experimental, theoretical, and numerical analyses on natural frequencies and mode shapes, the boundary condition of SCSC (i.e., two opposite edges simply-supported and the other two edges clamped) is deemed more reasonable for the composite floor. Walking excitations by one person (single excitation), two persons (dual excitation), and three persons (triple excitation) were considered to evaluate the vibration serviceability of the composite floor. The measured acceleration results show a satisfactory vibration perceptibility. For design convenience and safety, a crest factor ${\beta}_{rp}$ describing the ratio of peak acceleration to root-mean-square acceleration induced from the walking excitations is proposed. The comparisons of the modal parameters determined by ambient vibration and walking tests reveal the interaction effect between the human excitation and the composite floor.

유연한 조작기의 진동 제어 (Vibration Control of Flexible Manipulator)

  • 배건효;이재원;주해호
    • 한국정밀공학회지
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    • 제10권4호
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    • pp.163-169
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    • 1993
  • A flexible manipulator can move in the high speed even with the small driving torque. The dymanic equations of flexible manipulator which include 2 vibrational modes are derived using the clamped-free boundary condition. Simulation results of the 6th order model are well matched with experimental results. The hub angle of the flexible mainpulator can be controlled without vibration of the beam by the feedback of both hub angle and strain. The overshoot of the hub angle in the step response is reduced without sacrificing the rise time using the cycloidal function instead of the step function as the referenmce input.

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Damage detection in plate structures using frequency response function and 2D-PCA

  • Khoshnoudian, Faramarz;Bokaeian, Vahid
    • Smart Structures and Systems
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    • 제20권4호
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    • pp.427-440
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    • 2017
  • One of the suitable structural damage detection methods using vibrational characteristics are damage-index-based methods. In this study, a damage index for identifying damages in plate structures using frequency response function (FRF) data has been provided. One of the significant challenges of identifying the damages in plate structures is high number of degrees of freedom resulting in decreased damage identifying accuracy. On the other hand, FRF data are of high volume and this dramatically decreases the computing speed and increases the memory necessary to store the data, which makes the use of this method difficult. In this study, FRF data are compressed using two-dimensional principal component analysis (2D-PCA), and then converted into damage index vectors. The damage indices, each of which represents a specific condition of intact or damaged structures are stored in a database. After computing damage index of structure with unknown damage and using algorithm of lookup tables, the structural damage including the severity and location of the damage will be identified. In this study, damage detection accuracy using the proposed damage index in square-shaped structural plates with dimensions of 3, 7 and 10 meters and with boundary conditions of four simply supported edges (4S), three clamped edges (3C), and four clamped edges (4C) under various single and multiple-element damage scenarios have been studied. Furthermore, in order to model uncertainties of measurement, insensitivity of this method to noises in the data measured by applying values of 5, 10, 15 and 20 percent of normal Gaussian noise to FRF values is discussed.

압축성 유체로 충진된 원통형 탱크의 고유진동수의 특성 (Natural Frequency Characteristics of a Cylindrical Tank Filled with Bounded Compressible Fluid)

  • 정경훈;김강수;박근배
    • 전산구조공학
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    • 제10권4호
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    • pp.291-302
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    • 1997
  • 이 논문은 압축성 유체로 채워진 원통형 탱크의 고유진동 특성을 파악하기 위한 해석적 방법을 제시하고 있다. 탱크의 동적거동은 유한 Fourier 급수전개 방법으로 전개하였으며, 압축성 유체는 선형 포텐셜 이론으로 전개하였다. 해석방법의 타당성을 검증하기 위하여 물로 채워진 양단고정의 경계조건을 갖는 원통형 탱크의 고유진동수를 해석적 방법으로 구한 다음, 상용 유한요소해석 프로그램인 ANSYS 5.2를 이용하여 검증하였다. 그 결과, 유한요소해석결과와 이론적인 방법으로 구한 이론해가 잘 일치하고 있음을 확인하였다. 또한 유체의 밀도와 압축성이 탱크의 고유진동수에 미치는 영향을 정규화된 무차원 고유진동수를 통해서 평가하였다. 유체의 밀도는 탱크의 모든 진동 모드의 고유진동수에 영향을 주지만, 유체 압축성의 영향은 저차 원주방향 모드의 진동수에서 더 크게 나타나고 있음을 확인할 수 있었다.

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다양한 적층 배열을 갖는 복합 신소재 판 구조물의 유한차분 비선형 해석 (Finite Difference Nonlinear Analysis of Composite Plate Structures with Various Layer Sequences)

  • 이상범;이상열;이래철
    • 한국구조물진단유지관리공학회 논문집
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    • 제9권4호
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    • pp.159-168
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    • 2005
  • 본 연구는 다양한 적층 배열을 갖는 비등방성을 보이는 첨단 복합 신소재 판구조물의 유한 차분 비선형 해석을 수행한다. 복잡한 편미분 방정식으로 표현되는 역학문제들을 수치해석 하는 경우 본 연구에서 사용한 유한차분법은 유한요소법에 비하여 체눈 생성 및 수치적분 과정을 피할 수 장점을 갖는다. 유한차분법을 이용한 많은 연구들은 단지 에너지 방법을 사용한 고정 혹은 단순 경계조건에 대하여 수행되었다. 그러나 이러한 접근방법은 자유경계에 대하여 불가피하게 발생하는 가상점 문제를 충분히 만족시킬 수 없다. 그러므로 본 연구에서는 임의의 경계조건을 갖는 비등방성 복합 적층한의 비선형 거동 문제를 보다 효과적으로 해결할 수 있는 유한차분식을 정식화 하였다. 적층 배열 변화를 비롯한 다양한 매개변수에 대하여 본 연구에서 제안한 접근방법을 사용하여 적층판의 복잡한 비선형 거동을 분석하였다.

Studies on magneto-electro-elastic cantilever beam under thermal environment

  • Kondaiah, P.;Shankar, K.;Ganesan, N.
    • Coupled systems mechanics
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    • 제1권2호
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    • pp.205-217
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    • 2012
  • A smart beam made of magneto-electro-elastic (MEE) material having piezoelectric phase and piezomagnetic phase, shows the coupling between magnetic, electric, thermal and mechanical under thermal environment. Product properties such as pyroelectric and pyromagnetic are generated in this MEE material under thermal environment. Recently studies have been published on the product properties (pyroelectric and pyromagnetic) for magneto-electro-thermo-elastic smart composite. Hence, the magneto-electro-elastic beam with different volume fractions, investigated under uniform temperature rise is the main aim of this paper, to study the influence of product properties on clamped-free boundary condition, using finite element procedures. The finite element beam is modeled using eight node 3D brick element with five nodal degrees of freedom viz. displacements in the x, y and z directions and electric and magnetic potentials. It is found that a significant increase in electric potential observed at volume fraction of $BaTiO_3$, $v_f$ = 0.2 due to pyroelectric effect. In-contrast, the displacements and stresses are not much affected.

원형평판의 붕괴문제에 관한 유한차분 완전 하계해 (Complete lower bound solutions of circular plate collapse problems by a finite difference method)

  • 허훈
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1382-1390
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    • 1990
  • 본 연구에서는 Yang의 이론을 바탕으로 여러가지 원형집중하중을 받는 원형평 판에 관한 최대하계해를 구하고자 한다.앞서 열거한 문헌에서는 여러가지 해석법이 제시되었으나, 문제의 성격에 비하여 그 해법이 매우 복잡하였다. 본 논문에서는 원 형평판에 관한 해법으로서 전산기를 응용하여 가능한 한 단순한 해법으로 최대화기법 에 의한 완전한 해를 얻기 위한 시도를 제시하고자 한다.