• 제목/요약/키워드: harmonic section

검색결과 72건 처리시간 0.028초

불규칙한 외부 교란이 주기적 가진을 받는 비선형계의 동적 특성에 미치는 영향 (Noise Effect in a Nonlinear System Under Harmonic Excitation)

  • 박시형;김지환
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
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    • pp.145-153
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    • 1997
  • Dynamic characteristics are investigated when a nonlinear system showing periodic and chaotic responses under harmonic excitation is exposed to random perturbation. About two well potential problem, probability of homoclinic bifurcation is estimated using stochastic generalized Meinikov process and quantitive characteristics are investigated by calculation of Lyapunov exponent. Critical excitaion is calculated by various assumptions about Gaussian Melnikov process. To verify the phenomenon graphically Fokker-Planck equation is solved numerically and the original nonlinear equation is numerically simulated. Numerical solution of Fokker-Planck equation is calculated on Poincare section and noise induced chaos is studied by solving the eigenvalue problem of discretized probability density function.

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3-Dimensional Trans-Sasakian Manifolds with Gradient Generalized Quasi-Yamabe and Quasi-Yamabe Metrics

  • Siddiqi, Mohammed Danish;Chaubey, Sudhakar Kumar;Ramandi, Ghodratallah Fasihi
    • Kyungpook Mathematical Journal
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    • 제61권3호
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    • pp.645-660
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    • 2021
  • This paper examines the behavior of a 3-dimensional trans-Sasakian manifold equipped with a gradient generalized quasi-Yamabe soliton. In particular, It is shown that α-Sasakian, β-Kenmotsu and cosymplectic manifolds satisfy the gradient generalized quasi-Yamabe soliton equation. Furthermore, in the particular case when the potential vector field ζ of the quasi-Yamabe soliton is of gradient type ζ = grad(ψ), we derive a Poisson's equation from the quasi-Yamabe soliton equation. Also, we study harmonic aspects of quasi-Yamabe solitons on 3-dimensional trans-Sasakian manifolds sharing a harmonic potential function ψ. Finally, we observe that 3-dimensional compact trans-Sasakian manifold admits the gradient generalized almost quasi-Yamabe soliton with Hodge-de Rham potential ψ. This research ends with few examples of quasi-Yamabe solitons on 3-dimensional trans-Sasakian manifolds.

스테인레스 스틸 와이어 메쉬 보강에 따른 교각의 연성능력 평가 (Evaluation of Ductility for Bridge Piers Retrofitted by Stainless Steel Wire Mesh)

  • 김성훈;김대곤;이규남;김선호;김석희
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2002년도 봄 학술발표회 논문집
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    • pp.879-884
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    • 2002
  • The objective of this study is to investigate the seismic capacity of the non-seismically detailed RC bridge piers before and after applying a seismic retrofitting method using stainless steel wire mesh. Total nine circular section RC piers were constructed. Different lap splice longitudinal reinforcement details were adapted for four specimens and various types of stainless steel wire mesh were applied for the remaining five specimens. Harmonic cyclic lateral load was applied on each specimen under a constant axial load. The test results indicated that the existing circular piers have low seismic capacity while the stainless steel wire mesh retrofitting method improves the seismic capacity considerably. In addition, test results revealed that the circular section piers could have a considerable amount of ductility if longitudinal bars are not lap-spliced in potential plastic hinge zone. Based on this experimental study it could be concluded that the seismic performance, that is ductility and energy absorption capacity, of the non-seismically detailed RC bridge piers would be increased by applying the stainless steel wire mesh seismic retrofitting method.

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FEYNMAN-KAC SEMIGROUPS, MARTINGALES AND WAVE OPERATORS

  • Van Casteren, Jan A.
    • 대한수학회지
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    • 제38권2호
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    • pp.227-274
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    • 2001
  • In this paper we intended to discuss the following topics: (1) Notation, generalities, Markov processes. The close relationship between (generators of) Markov processes and the martingale problem is exhibited. A link between the Korovkin property and generators of Feller semigroups is established. (2) Feynman-Kac semigroups: 0-order regular perturbations, pinned Markov measures. A basic representation via distributions of Markov processes is depicted. (3) Dirichlet semigroups: 0-order singular perturbations, harmonic functions, multiplicative functionals. Here a representation theorem of solutions to the heat equation is depicted in terms of the distributions of the underlying Markov process and a suitable stopping time. (4) Sets of finite capacity, wave operators, and related results. In this section a number of results are presented concerning the completeness of scattering systems (and its spectral consequences). (5) Some (abstract) problems related to Neumann semigroups: 1st order perturbations. In this section some rather abstract problems are presented, which lie on the borderline between first order perturbations together with their boundary limits (Neumann type boundary conditions and) and reflected Markov processes.

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Investigation on the effect of vibration frequency on vortex-induced vibrations by section model tests

  • Hua, X.G.;Chen, Z.Q.;Chen, W.;Niu, H.W.;Huang, Z.W.
    • Wind and Structures
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    • 제20권2호
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    • pp.349-361
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    • 2015
  • Higher-mode vertical vortex-induced vibrations (VIV) have been observed on several steel box-girder suspension bridges where different vertical modes are selectively excited in turn with wind velocity in accordance with the Strouhal law. Understanding the relationship of VIV amplitudes for different modes of vibration is very important for wind-resistant design of long-span box-girder suspension bridges. In this study, the basic rectangular cross-section with side ratio of B/D=6 is used to investigate the effect of different modes on VIV amplitudes by section model tests. The section model is flexibly mounted in wind tunnel with a variety of spring constants for simulating different modes of vibration and the non-dimensional vertical amplitudes are determined as a function of reduced velocity U/fD. Two 'lock-in' ranges are observed at the same onset reduced velocities of approximately 4.8 and 9.4 for all cases. The second 'lock-in' range, which is induced by the conventional vortex shedding, consistently gives larger responses than the first one and the Sc-normalized maximum non-dimensional responses are almost the same for different spring constants. The first 'lock-in' range where the vibration frequency is approximately two times the vortex shedding frequency is probably a result of super-harmonic resonance or the "frequency demultiplication". The main conclusion drawn from the section model study, central to the higher-mode VIV of suspension bridges, is that the VIV amplitude for different modes is the same provided that the Sc number for these modes is identical.

패션 디자인에서 색채 비례에 의한 배색 연구 (A Study on Color Coordination of Fashion Design by Color Proportion)

  • 문영애
    • 한국의상디자인학회지
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    • 제11권2호
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    • pp.1-10
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    • 2009
  • The purpose of this study is to investigate harmonious color schemes based on a length proportion of upper and lower parts of a body by; understanding of the harmonious length proportion of a square measure of a color in color coordination of fashion design, and presenting a mutual relation of the length proportion of a square measure of a color according to the various way of color schemes and proportions. For this study, monochromatic scheme, analogous scheme and complementary scheme were adapted as the color schemes, and each color scheme was coordinated by analogous tone and contrast tone. Also, 1:1 symmetry proportion, 1:2 harmonic proportion, 1:1.618 golden section, 1:3 and 1:5 contrast proportion were used as the square measure of a color. For the survey, 12 sets of color sample were organized. The survey was conducted 182 of university students majored in fashion design, and 143 responded samples were analyzed using SPSS 12. The result of the study is as follows: 1:5 contrast proportion is most inharmonious in general, and 1:1 symmetry proportion is followed. It is thought that too much or same length of the square measure of colors has less attractive effect of coloring. On the other hand, 1:1.618 golden section and 1:2 harmonic proportion are accepted to be harmonious in all color schemes. The length proportion of the square measure of a color had more influence on harmony of color coordination in fashion design rather than color schemes. Though, on the assumption that people have a similar perception about the color image of fashion design, it will play an important role in strengthening or diminution of color in cloth if the coloring effect of the length proportion of the square measure of a color is used in fashion design and wearing of clothes.

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Beach Cusp 생성기작으로 기능하는 Synchronous Edge Wave 수치해석 (Numerical Analysis of Synchronous Edge Wave Known as the Driving Mechanism of Beach Cusp)

  • 이형재;조용준
    • 한국해안·해양공학회논문집
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    • 제31권6호
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    • pp.409-422
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    • 2019
  • Beach cusp의 생성기작으로 기능하는 Synchronous Edge wave의 수리특성을 살펴보기 위한 3D 수치모의를 OpenFOAM 기반 tool box인 IHFOAM을 활용하여 수행하였다. 파랑모형은 RANS[Reynolds Averaged Navier-Stokes equation]와 연속방정식으로 구성하였으며, Synchronous Edge wave 형성에 필요한 연안방향으로 파고가 변조되는 short-crested waves는 동일한 주기와 파고를 지니는 두 개의 Cnoidal wave가 전면 해역에서 비스듬히 조우되도록 조파하여 재현하였다. 모의결과 파랑 집중단면에서의 유속이 파랑 분산단면보다 전체적으로 크게 모의되었다. 또한 파랑 집중단면의 경우 해안방향 흐름[up-rush]이 먼 바다방향 흐름[back-wash]보다 세기는 우월하나 지속기간은 짧은 비선형 파동계의 일반적인 성정을 지니는 것으로 모의되었다. 이와 더불어 처오름 정점에서 양쪽의 분산단면으로 흐름이 나뉘며 약해지는 b ack-wash로 인해 up-rush 최대유속은 back-wash 최대유속의 두 배 가까이 증가하는 것으로 관측되었다. 이에 비해 파랑 분산단면의 경우 집수효과로 해안 인근 수역에서는 먼 바다방향 흐름이 해안방향흐름보다 우월하게 모의되었다. 또한 천수 중간 수역에서는 해안방향 흐름이 여전히 우세하나 비대칭 정도는 현저하게 감소하였다. 이러한 수리특성은 Synchronous Edge wave의 전형적인 성정으로 수치모의가 성공적으로 이루어진 것으로 판단된다. 이 과정에서 너울이 우월한 해양환경에서 해빈이 느리지만 점진적으로 복원되는 과정에서 주 기작으로 기능하는 경계층 streaming에 대한 새로운 해석도 제시되었다.

반도체레이저 단면여기 Nd:S-VAP 레이저의 내부공진기 제2고조파 출력 특성 (Output characteristics of intracavity frequency doubling of laser-diode end-pumped Nd:S-VAP laser)

  • 박준학
    • 한국광학회지
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    • 제11권4호
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    • pp.294-298
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    • 2000
  • 반도체레이저로 단면 여기시킨 Nd:VAP 레이저의 내부공진기 제2고조파 출력특성을 조사하였다. 유도방출 단면적과 형광수명의 곱이 커 낮은 발진문턱 특성을 갖는 Nd:S-VAP 매질은 컴팩트한 마이크로칩 레이저에 적합하다. 내부공진기를 이용한 제2고조파 발진문턱에너지가 81 uJ로 측정되어 쉽게 발진됨을 확인하였다. 여기에너지 $2\mu\textrm{J}$에서 제2고조파 에너지 $126\mu\textrm{J}$을 얻었고, 내부공진기 제2고조파의 출력을 계산하여 이론적인 해석 근거를 제시하였다. Q-스위치된 제2고조파 출력은 펄스폭 26ns에 펄스당 에너지 $15\mu\textrm{J}$로 저출력에서도 시.공간적으로 깨끗한 펄스를 얻었으며, $M^2$도 1.47로 우수한 빔 특성을 나타내었다.

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전기철도 구간에서의 철도차량 운행에 따른 연동장치 고조파 분석 (Harmonic Frequency Analysis of Interlocking System for Rolling Stock Operation in Electrical Railroads)

  • 백종현;김용규;오세찬;이강미;조현정
    • 한국산학기술학회논문지
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    • 제12권8호
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    • pp.3610-3616
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    • 2011
  • 전기철도는 전차선을 통해 차량을 구동할 수 있는 전력을 공급하며, 공급된 전류는 선로 및 접지망을 통해 변전소로 귀환한다. 전기철도 구간에서 철도차량의 운행에 따라 사용된 부하전류는 귀환회로인 궤도를 통해 변전소로 유입한다. 철도차량에서 사용되고 있는 전력변환장치 때문에 부하전류에는 고조파가 함유되고 이러한 고조파 전류가 열차제어시스템에 영향을 주지 않아야 한다. 본 논문에서는 신규로 건설된 전기철도 구간에서 철도차량 운행에 따라 발생되는 고조파가 연동장치에 영향을 주는 지 확인하기 위하여 시험한 결과를 제시하고 있다. 신호기계실에 설치되는 연동장치에 철도차량 운행에 따라 고조파 영향이 있는 지 확인하기 위하여 본 논문에서의 시험은 철도차량이 운행되는 선로변 설비에서 연동장치로 연결되는 부분에서 수행되었다.

Three dimensional modelling of ancient colonnade structural systems subjected to harmonic and seismic loading

  • Sarhosis, V.;Asteris, P.G.;Mohebkhah, A.;Xiao, J.;Wang, T.
    • Structural Engineering and Mechanics
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    • 제60권4호
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    • pp.633-653
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    • 2016
  • One of the major threats to the stability of classical columns and colonnades are earthquakes. The behavior of columns under high seismic excitation loads is non-linear and complex since rocking, wobbling and sliding failure modes can occur. Therefore, three dimensional simulation approaches are essential to investigate the in-plane and out-of-plane response of such structures during harmonic and seismic loading excitations. Using a software based on the Distinct Element Method (DEM) of analysis, a three dimensional numerical study has been performed to investigate the parameters affecting the seismic behaviour of colonnades' structural systems. A typical section of the two-storey colonnade of the Forum in Pompeii has been modelled and studied parametrically, in order to identify the main factors affecting the stability and to improve our understanding of the earthquake behaviour of such structures. The model is then used to compare the results between 2D and 3D simulations emphasizing the different response for the selected earthquake records. From the results analysis, it was found that the high-frequency motion requires large base acceleration amplitude to lead to the collapse of the colonnade in a shear-slip mode between the drums. However, low-frequency harmonic excitations are more prominent to cause structural collapse of the two-storey colonnade than the high-frequency ones with predominant rocking failure mode. Finally, the 2D analysis found to be unconservative since underestimates the displacement demands of the colonnade system when compared with the 3D analysis.