• 제목/요약/키워드: antisymmetric

검색결과 122건 처리시간 0.021초

Hydroelastic vibration analysis of liquid-contained rectangular tanks

  • Jeong, Kyeong-Hoon
    • Structural Engineering and Mechanics
    • /
    • 제40권5호
    • /
    • pp.665-688
    • /
    • 2011
  • This paper presents a theoretical analysis for the free vibration of rectangular tanks partially filled with an ideal liquid. Wet dynamic displacements of the tanks are approximated by combining the orthogonal polynomials satisfying the boundary conditions, since the rectangular tanks are composed of four rectangular plates. The classical boundary conditions of the tanks at the top and bottom ends are considered, such as clamped, simply supported, and clamped-free boundary conditions. As the facing rectangular plates are assumed to be geometrically and structurally identical, the vibration modes of the facing plates of the tanks can be divided into two categories: symmetric and antisymmetric modes with respect to the planes passing through the center of the tanks and perpendicular to the free liquid surface. The liquid displacement potentials satisfying the Laplace equation and liquid boundary conditions are derived, and the wet dynamic modal functions of a quarter of the tanks can be expanded by the finite Fourier transform for compatibility requirements along the contacting surfaces between the tanks and liquid. An eigenvalue problem is derived using the Rayleigh-Ritz method. Consequently, the wet natural frequencies of the rectangular tanks can be extracted. The proposed analytical method is verified by observing an excellent agreement with three-dimensional finite element analysis results. The effects of the liquid level and boundary condition at the top and bottom edges are investigated.

Collective Excitations in Thin K Films on Al(111)

  • Kim, Bong-Ok
    • 한국진공학회:학술대회논문집
    • /
    • 한국진공학회 2000년도 제18회 학술발표회 논문개요집
    • /
    • pp.137-137
    • /
    • 2000
  • The surface collective modes of thin K films deposited on Al(111) have been investigated using frequency dependent photoyield measurements and momentum resolved inelastic electron scattering. Jellium based theoretical calculations have predicted a richer set of features in the thin films than for the surface of a semi-infinite solid because there are th interference between two interfaces (substrate-film and film-vacuum) and heavy damping on the substrate. The use of an optical probe and electron scattering has allowed us to draw a more complete picture of the dynamic screening in thin films. The number, dispersion, damping and optical activity of the collective modes of the thin films have been measured as a function of K film thickness. New overlayer-induced excitations are observed : At qII=0, they correspond to the antisymmetric slab mode and the multipole surface plasmon. At finite qII=0, these modes undergo a transition towards the K multipole and monopole surface plasmons. With increasing coverage, the overlayer excitations turn into the collective modes of semi-infinite K. For a consistent interpretation of photoyield and electron energy loss spectra it is crucial to account for the non-analytic dispersion of the overlayer modes at small parallel wave vectors and for the finite angular resolution of the detector. The observed dispersions confirm predictions based on the time-dependent density functional approach.

  • PDF

구동중인 자동차 배기계의 진동 특성 측정 (Vibration Measurement of an Automobile Exhaust System in Operation)

  • 김성국;이종남;한순우;정태진;이신영;장강원
    • 한국소음진동공학회논문집
    • /
    • 제17권3호
    • /
    • pp.235-240
    • /
    • 2007
  • In this work, the operational deflection shape(ODS) of an automobile exhaust system is measured by using a recently-developed magnetic sensor. The magnetic sensor is composed of a solenoid and two pairs of permanent magnets generating an antisymmetric magnetic field in the lateral direction inside the solenoid. Lateral movement of a ferromagnetic pipe inside the magnetic field of the suggested sensor induces an electromotive force in the solenoid corresponding to the lateral velocity of the pipe. Due to the simplicity and non-contact characteristics of the magnetic sensor, dynamic behaviors of the structures operating under high temperature such as an exhaust pipe can be efficiently observed. It is shown that the lateral ODS of an exhaust system can be successfully measured by the suggested sensors.

Static analysis of laminated reinforced composite plates using a simple first-order shear deformation theory

  • Draiche, Kada;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Alwabli, Afaf S.;Tounsi, Abdeldjebbar;Mahmoud, S.R.
    • Computers and Concrete
    • /
    • 제24권4호
    • /
    • pp.369-378
    • /
    • 2019
  • This paper aims to present an analytical model to predict the static analysis of laminated reinforced composite plates subjected to sinusoidal and uniform loads by using a simple first-order shear deformation theory (SFSDT). The most important aspect of the present theory is that unlike the conventional FSDT, the proposed model contains only four unknown variables. This is due to the fact that the inplane displacement field is selected according to an undetermined integral component in order to reduce the number of unknowns. The governing differential equations are derived by employing the static version of principle of virtual work and solved by applying Navier's solution procedure. The non-dimensional displacements and stresses of simply supported antisymmetric cross-ply and angle-ply laminated plates are presented and compared with the exact 3D solutions and those computed using other plate theories to demonstrate the accuracy and efficiency of the present theory. It is found from these comparisons that the numerical results provided by the present model are in close agreement with those obtained by using the conventional FSDT.

강성특성치를 이용한 고속전철 콘크리트궤도의 처짐가능성 평가 (Evaluation of Concrete-Track Deformation for High-Speed Railways by Characteristic Stiffness)

  • 조성호;이일화;황선근;강태호;김석철
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2009년도 춘계학술대회 논문집 특별세미나,특별/일반세션
    • /
    • pp.641-646
    • /
    • 2009
  • Concrete tracks are superior to ballast tracks in the aspect of durability, maintenance and safety. However, deteriorated stiffness of railroad bed and settlement of soft ground induced by trapped or seepage water lead to problems in safety of train operation. In this research, characteristic stiffness of concrete tracks, which is determined from FRACTAL (Flexural-Rigidity Assessment of Concrete Tracks by Antisymmetric Lamb Waves) technique, was employed as an index of track displacement. The characteristic stiffness is defined using Poisson's ratio, moment of inertia and stiffness ratio of subgrade to slab. To verify validity and reliability of the proposed characteristic stiffness, experimental and theoretical researches were performed. Feasibility of the characteristic stiffness based on FRACTAL technique was proved at a real concrete track for Korean high-speed trains. Validity of the FRACTAL technique was also verified by comparing the results of impulse-response tests performed at the same measurement array and the results of SASW tests and DC resistivity survey performed at a shoulder nearby the track.

  • PDF

산화아연 나노와이어의 압전거동에 대한 분석 (Finite Element Analysis of the Piezoelectric Behavior of ZnO Nanowires)

  • 이웅
    • 한국재료학회지
    • /
    • 제28권11호
    • /
    • pp.671-679
    • /
    • 2018
  • Finite element analyses are carried out to understand the piezoelectric behaviors of ZnO nanowires. Three different types of ZnO nanowires, with aspect ratios of 1:2. 1:31, and 1:57, are analyzed for uniaxial compression, pure bending, and buckling. Under the uniaxial compression with a strain of $1.0{\times}10^{-4}$ as the reference state, it is predicted that all three types of nanowires develop the same magnitude of the piezoelectric fields, which suggests that longer nanowires exhibit higher piezoelectric potential. However, this prediction is not in agreement with the experimental results previously reported in the literature. Such discrepancy is understood when the piezoelectric behaviors under bending and buckling are considered. When only the strain field due to bending is present in bending or buckling, the antisymmetric nature of the through-thickness stain distribution indicates that two piezoelectric fields, the same in magnitude and opposite in sign, develop along the thickness direction, which cancels each other out, resulting in a zero net piezoelectric field. Once additional strain contribution due to axial deformation is superposed on the bending, such field cancelling is compensated for due to the axial component of the piezoelectric field. Such numerical predictions seem to explain the reported experimental results while providing a guideline for the design of nanowire-based piezoelectric devices.

Numerical analysis for free vibration of hybrid laminated composite plates for different boundary conditions

  • Benhenni, Mohammed Amine;Daouadji, Tahar Hassaine;Abbes, Boussad;Abbes, Fazilay;Li, Yuming;Adim, Belkacem
    • Structural Engineering and Mechanics
    • /
    • 제70권5호
    • /
    • pp.535-549
    • /
    • 2019
  • This study aimed to develop a high-order shear deformation theory to predict the free vibration of hybrid cross-ply laminated plates under different boundary conditions. The equations of motion for laminated hybrid rectangular plates are derived and obtained by using Hamilton's principle. The closed-form solutions of anti-symmetric cross-ply and angle-ply laminates are obtained by using Navier's solution. To assess the validity of our method, we used the finite element method. Firstly, the analytical and the numerical implementations were validated for an antisymmetric cross-ply square laminated with available results in the literature. Then, the effects of side-to-thickness ratio, aspect ratio, lamination schemes, and material properties on the fundamental frequencies for different combinations of boundary conditions of hybrid composite plates are investigated. The comparison of the analytical solutions with the corresponding finite element simulations shows the good accuracy of the proposed analytical closed form solution in predicting the fundamental frequencies of hybrid cross-ply laminated plates under different boundary conditions.

Seismic performance of beam-to- SST column connection with external diaphragm

  • Rong, Bin;Yin, Shuhao;Zhang, Ruoyu;Wang, Lei;Yang, Ziheng;Li, Hongtao;Wan, Wenyu
    • Steel and Composite Structures
    • /
    • 제37권6호
    • /
    • pp.633-647
    • /
    • 2020
  • This paper aims to study the seismic performance of external diaphragm connection between SST (square steel tube) column and H-shaped beam through experimental and analytical study involving finite element (FE) method and theoretical analysis. In the experimental study, three external diaphragm connection specimens with weak panel zone were tested under axial pressure on the top of the column and antisymmetric cyclic loads at the beam end to investigate the seismic performance of the panel zone. The hysteretic behavior, failure mode, stiffness and ductility of the specimens were discussed. Key point to be explored was the influence of the thickness of the steel tube flange on the shear capacity of the specimens. In the analytical study, three simplified FE models were developed to simulate the seismic behavior of the specimens for further analysis on the influence of steel tube flange. Finally, four existing calculation formulas for the shear capacity of the external diaphragm connection were evaluated through comparisons with the results of experiments and FE analysis, and application suggestions were put forward.

3차원 고차이론을 이용한 역대칭 앵글-플라이를 갖는 복합재료 적층판의 좌굴 및 진동해석 (Buckling and Vibration Analysis of Antisymmetric Angle-ply laminated Composite Plates using a Three-dimensional Higher-order Theory)

  • 이원홍;한성천;천경식;장석윤
    • 한국강구조학회 논문집
    • /
    • 제15권2호
    • /
    • pp.97-107
    • /
    • 2003
  • 복합재료 적층판의 보다 정확한 해석결과를 얻기 위해서는 종방향 전단변형, 종방향 수직 변형률/응력에 의한 효과와 두께방향좌표에 관한 면내변위의 비선형 변화등이 고려되어야 한다. 본 연구에서는 3차원 고차이론을 이용하여 복합적층판의 좌굴하중 및 고유진동수를 구하였다. 단순지지된 적층판과 샌드위치의 해는 이중삼각함수형태의 Fourier 급수로 변환한 Navier 해법을 사용하였고, 일차전단변형, 고차전단변형이론에 의한 결과와 비교 분석하였다. 본 연구는 매개변수 즉, 보강각도, 적층수와 배열조건, 폭-두께비, 형상비의 변화에 따른 수치 해석 결과를 제시하였다.

모니터링 시스템의 계측자료를 기반으로 한 닐슨아치 교량의 내풍 안정성 평가 (Estimation of Wind Resistance Capacity of Nielsen Arch Bridge Based on Measured Data From Monitoring System)

  • 이덕근;임성순
    • 한국구조물진단유지관리공학회 논문집
    • /
    • 제17권3호
    • /
    • pp.56-64
    • /
    • 2013
  • 200m 이하의 아치 교량에서 동적 내풍 안정성은 일반적으로 일본의 Wind Resistant Design Manual for Highway Bridges에 따라 검토된다. 또한 내풍 안정성 검토는 모드 형상에 관계없이 1차 연직 진동수를 적용한다. 일본의 매뉴얼에 따라 설계된 경간장 183m의 닐슨 아치 교량에서 예상치 못한 와류 진동이 발생하였으며 이는 태풍시 교량의 모니터링 시스템에 의해 계측되었다. 본 논문에서는 태풍 발생시에 계측된 풍속, 풍향, 진동 변위와 가속도를 기반으로 닐슨 아치교량의 와류진동 특성을 분석하였다. 분석 결과 1차 연직 진동 모드가 역대칭 형상이고 2차 연직 진동 모드가 대칭 형상인 닐슨 아치교의 경우 와류 진동이 2차 연직 모드에서 지배적이다. 따라서 본 논문에서는 2차 연직 진동 모드가 대칭 형상인 닐슨 아치교의 내풍 안정성 평가시에는 1차 보다 2차 연직 진동 모드가 중요한 설계 요소임을 제시하였다.