• 제목/요약/키워드: Sine Series

검색결과 66건 처리시간 0.023초

EXACT SOLUTIONS OF GENERALIZED STOKES' PROBLEMS FOR AN INCOMPRESSIBLE COUPLE STRESS FLUID FLOWS

  • SIDDIQUE, IMRAN;UMBREEN, YOUSRA
    • Journal of applied mathematics & informatics
    • /
    • 제37권5_6호
    • /
    • pp.507-519
    • /
    • 2019
  • The ground for this paper is to examine the generalized Stokes' first and second issues for an incompressible couple pressure liquid under isothermal conditions. Exact solutions for each problem are acquired by using the Laplace transform (LT) with respect to the time variable t and the sine Fourier transform (FT) with respect to the y-variable. Further, a comparison is given of the obtained results and the results of Devakar and Lyengar [1] and by using the four inverse Laplace transform algorithms (Stehfest's, Tzou's, Talbot, Fourier series) in the space time domain utilizing a numerical methodology. Moreover, velocity profiles are plotted and considered for various occasions and distinctive estimations of couple stress parameters. At the end, the outcomes are exhibited by graphs and in tabular forms.

DMD기반 Kirchhoff-Love 판의 모드 분석과 수치해 예측 (DMD based modal analysis and prediction of Kirchhoff-Love plate)

  • 신성윤;조광현;배석찬
    • 한국정보통신학회논문지
    • /
    • 제26권11호
    • /
    • pp.1586-1591
    • /
    • 2022
  • Kirchhoff-Love 판 (KLP) 방정식은 특정 외력이 얇은 막에 끼치는 변형을 기술하는 잘 알려진 이론이다. 한편, frequency 도메인에서 진동하는 판을 해석하는 것은 주요 진동 주파수와 고유함수들을 구하는 것과 판의 진동을 예측하는데 중요하다. 다양한 모드 분석 방법들 중 dynamic mode decomposition (DMD)는 효율적인 data 기반 방법이다. 이 논문에서 우리는 DMD를 기반으로 sine 유형 외력의 영향력 안에 있는 KLP의 모드 분석을 수행한다. 우리는 먼저 유한차분법을 사용하여 이산적으로 표현된 시계열 형식의 KLP 해를 구한다. 720,00개의 FDM으로 생성된 해중에서, 오직 500개의 해만을 DMD의 구현을 위해 선택한다. 우리는 결과적으로 얻어진 DMD-mode를 보고한다. 또한, DMD를 통하여 KLP의 해를 예측하는 효율적인 방법을 소개한다.

시계열 데이터로부터의 경향성 기반 순차패턴 탐색 (Trend-based Sequential Pattern Discovery from Time-Series Data)

  • 오용생;이동하;남도원;이전영
    • 지능정보연구
    • /
    • 제7권1호
    • /
    • pp.27-45
    • /
    • 2001
  • 데이터마이닝에서 시계열 데이터로부터 순차패턴을 발견하는 연구는 사건이나 아이템이 주로 연구되어왔지만, 최근에는 설비의 상태를 알 수 있는 센서와 같은 수치 값의 형태를 가지는 분야에 관심을 가지게 되었다. 그러나 수치 형태의 데이터는 패턴을 만드는 동안 동일한 값을 가지는 경우가 거의 없기 때문에 기존의 사건이나 아이템 등으로 변환될 수 있는 패턴요소의 특징을 만드는 것이 가장 중요하다. 이러한 패턴요소를 발견하는 지금가지 방법은 이동 윈도우와 클러스터링을 사용하는 방법을 적용하였는데, 이러한 방법은 다양한 윈도우의 크기와 클러스터 값을 적용하여 반복적으로 작업을 하며, 찾아진 결과를 해석하는데도 많은 문제가 있다. 본 연구는 수치 값을 가진 데이터를 벡터의 형태로 만들어 패턴요소를 만드는 방법을 제시한다. 이렇게 만들어진 패턴요소는 전체 데이터를 사용하는 것 보다 이해되기 쉽고 보다 빠르게 순차패턴을 찾을 수 있다. 벡터로 변환된 패턴요소는 각도와 크기를 가지는데 우리는 이들 벡터들의 상호 연관성을 정의하고, 이들 연관성을 이용하여 순차패턴을 찾는 방법을 제시한다.

  • PDF

응력특이를 갖는 축방향 부재의 웨이블렛 급수해석 (Wavelet Series Analysis of Axial Members with Stress Singularities)

  • 우광성;장영민;이동우;이상윤
    • 한국전산구조공학회논문집
    • /
    • 제23권1호
    • /
    • pp.1-8
    • /
    • 2010
  • 푸리에 급수는 사인 곡선처럼 일정한 진폭으로 진동하는 정규파(wave)를 사용한다. 그래서 푸리에 급수에서 사용하는 함수는 진동수의 크기가 시간에 따라 변하지 않기 때문에 국부적인 영역에서 급작스런 진동이나 불연속성을 갖는 신호를 표현하기에는 한계가 있다. 그러나 이러한 푸리에 해석의 단점을 여러개의 적절한 웨이블렛의 선형조합에 의해 보완할 수 있는 것이 웨이블렛 급수해석이다. 시간에 집중되어진 궤적의 작은 잔파(wavelet)를 사용함으로써 시간과 주기의 폭을 변화시킬 수 있기 때문에 유동적이고, 특이(singular)형상을 지닌 신호들을 보다 효율적으로 표현할 수 있다. 이 연구의 주요 목적은 웨이블렛 급수해석이라고 불리는 방법을 2계 편미분방정식으로 표현되는 1차원 축방향 부재에 웨이블렛 이론을 적용함과 동시에 유한요소법과 같은 수치해석법과의 비교를 통해 성능평가를 위해 제안되었다. 여러 형태의 웨이블렛 함수의 검토 후에 HAT 함수가 웨이블렛 및 스케일링 함수로 채택되었다. 등분포하중을 받는 경우의 축방향 부재해석에서 제안된 방법은 유한요소법과 같이 효율적임을 보이며, 특히 응력특이점에서는 더 정확한 값을 보였으며, 계산시간도 절약되는 장점을 얻을 수 있었다.

Investigation of mean wind pressures on 'E' plan shaped tall building

  • Bhattacharyya, Biswarup;Dalui, Sujit Kumar
    • Wind and Structures
    • /
    • 제26권2호
    • /
    • pp.99-114
    • /
    • 2018
  • Due to shortage of land and architectural aesthetics, sometimes the buildings are constructed as unconventional in plan. The wind force acts differently according to the plan shape of the building. So, it is of utter importance to study wind force or, more specifically wind pressure on an unconventional plan shaped tall building. To address this issue, this paper demonstrates a comprehensive study on mean pressure coefficient of 'E' plan shaped tall building. This study has been carried out experimentally and numerically by wind tunnel test and computational fluid dynamics (CFD) simulation respectively. Mean wind pressures on all the faces of the building are predicted using wind tunnel test and CFD simulation varying wind incidence angles from $0^{\circ}$ to $180^{\circ}$ at an interval of $30^{\circ}$. The accuracy of the numerically predicted results are measured by comparing results predicted by CFD with experimental results and it seems to have a good agreement with wind tunnel results. Besides wind pressures, wind flow patterns are also obtained by CFD for all the wind incidence angles. These flow patterns predict the behavior of pressure variation on the different faces of the building. For better comparison of the results, pressure contours on all the faces are also predicted by both the methods. Finally, polynomial expressions as the sine and cosine function of wind angle are proposed for obtaining mean wind pressure coefficient on all the faces using Fourier series expansion. The accuracy of the fitted expansions are measured by sum square error, $R^2$ value and root mean square error.

Single Phase Utility Frequency AC-High Frequency AC Matrix Converter Using One-Chip Reverse Blocking IGBTs based Bidirectional Switches

  • Hisayuki, Sugimura;Kwon, Soon-Kurl;Lee, Hyun-Woo;Mutsuo, Nakaoka
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2006년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
    • /
    • pp.125-128
    • /
    • 2006
  • This paper presents a novel type soft switching PWM power frequency AC-AC converter using bidirectional active switches or single phase utility frequency AC-high frequency AC matrix converter. This converter can directly convert utility frequency AC (UFAC, 50Hz/60Hz) power to high frequency AC (HFAC) power ranging more than 20kHz up to 100kHz. A novel soft switching PWM prototype of high frequency multi-resonant PWM controlled UFAC-HFAC matrix converter using antiparallel one-chip reverse blocking IGBTs manufactured by IXYS corp. is based on the soft switching resonance with asymmetrical duty cycle PWM strategy. This single phase UFAC-HFAC matrix converter has some remarkable features as electrolytic capacitor DC busline linkless topology, unity power factor correction and sine-wave line current shaping, simple configuration with minimum circuit components, high efficiency and downsizing. This series load resonant UFAC-HFAC matrix converter, incorporating bidirectional active power switches is developed and implemented for high efficiency consumer induction heated food cooking appliances in home uses and business-uses. Its operating performances as soft switching operating ranges and high frequency effective power regulation characteristics are illustrated and discussed on the basis of simulation and experimental results.

  • PDF

New Fluid Flow System for Simulation of Mechanical Loading to Bone Cells During Human Gait Cycle

  • Ahn, Jae-Mok
    • 대한의용생체공학회:의공학회지
    • /
    • 제28권3호
    • /
    • pp.377-386
    • /
    • 2007
  • Mechanical loading to bone cells using simple sine wave or constant wave fluid flow has been widely used for in vitro experiments. Human gait is characterized by a complex loading to bones of lower extremities which results from a series of events consisting of heel strike, foot flat and push-off during the stance phase of the gait cycle. Telemetric force analyses have shown that human femora are subject to multiphasic loading. Therefore, it would be ideal if the physiologic loading conditions during human walking can be used for in vitro mechanotransduction studies. Here, for a mechanotransduction study, we develop it fluid flow system (FFS) in order to simulate human physiologic mechanicalloading on bone cells. The development methods of the FFS including the COR (Center for Orthopedic Research), monitor program are presented. The FFS could generate various multiphasic loading conditions of human gaits with output flow. Wall shear distribution was very uniform, with 81 % of the effective loading area of the culture on a glass slide. Our results demonstrated that the FFS, provide a new translational approach for unveiling molecular mechanotransduction pathways in bone cells.

Investigations on a vertical isolation system with quasi-zero stiffness property

  • Zhou, Ying;Chen, Peng
    • Smart Structures and Systems
    • /
    • 제25권5호
    • /
    • pp.543-557
    • /
    • 2020
  • This paper presents a series of experimental and numerical investigations on a vertical isolation system with quasi-zero stiffness (QZS) property. The isolation system comprises a linear helical spring and disk spring. The disk spring is designed to provide variable stiffness to the system. Orthogonal static tests with different design parameters are conducted to verify the mathematical and mechanical models of the isolation system. The deviations between theoretical and test results influenced by the design parameters are summarized. Then, the dynamic tests for the systems with different under-load degrees are performed, including the fast sweeping tests, harmonic excitation tests, and half-sine impact tests. The displacement transmissibility, vibration reduction rate, and free vibration response are calculated. Based on the test results, the variation of the transmission rule is evaluated and the damping magnitudes and types are identified. In addition, the relevant numerical time history responses are calculated considering the nonlinear behavior of the system. The results indicate that the QZS isolation system has a satisfactory isolation effect, while a higher damping level can potentially promote the isolation performance in the low-frequency range. It is also proved that the numerical calculation method accurately predicts the transmission character of the isolation system.

국제항공질서(國際航空秩序)에 있어서의 양자간(兩者間) 협정체제(協定體制) 대(對) 다자간(多者間) 협정체제(協定體制) -역사적(歷史的).분석적(分析的) 시각(視角) 및 한국(韓國)의 대응(對應)- (Biteralism vs. Multilateralism in International Aviation Order : Historical & Analytic Aspects, and Korean Responses)

  • 김종석
    • 항공우주정책ㆍ법학회지
    • /
    • 제4권
    • /
    • pp.139-154
    • /
    • 1992
  • The Chicago-Bermuda system has been charaterizing international aviation order sine 1940's. Bilateralism was established as 'the' way of nogotiation in exchange of traffic rights among nations thanks to the system. The system was stable until new phenomena came into the scene. The orderly development of international aviation began to be threatened by a series of technological and commercial breakthroughs in the late 60's and 70's. Also, in the field of international aviation, aspiration of the newemerging third world countries was hightened and the emergence of an unified Europe was added to it. These caused worries on bilateralism as an efficient means of negotiation. New waves of multilateral(reginal or international) approaches have been conducted. Its formal discussion is accelerated by vigorous talk on multilateral liberalization of international trade in commodities and services, i.e., the Urguay Round. In this paper, we examine historical development of bilateralism and multilateralism in a perspective of political economy; changes in the international aviation industry, merits and demerits of the two regimes on competitiveness of negotiating partners. The ways Korea can respond to new changes are presented and compared and a tentative stance she can take is proposed.

  • PDF

정지홈과 회전홈을 갖는 저널베어링의 안정성 평가 (Stability analysis of the rotating and stationary grooved journal bearings)

  • 이민호;이지훈;장건희
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
    • /
    • pp.141-146
    • /
    • 2013
  • This research investigates the stability analysis for the rotating and the stationary grooved journal bearing. The dynamic coefficients of the journal bearing are calculated by using FEM and the perturbation method. When journal bearing is in whirling motion, the dynamic coefficients have time-varying components as a sine wave due to the reaction force of oil film toward the center of journal even in the steady state. The solutions for the equations of motion can be assumed as the Fourier series expansion. The equations of motion can be rewritten as the linear algebraic equations with respect to the Fourier coefficients. Then, stability of the grooved journal bearing can be calculated by Hill's infinite determinant. The periodic function of dynamic coefficients is derived using Fourier Fast Transform(FFT).The stability of journal bearing is determined as rotating speed increases and the stability of rotating grooved journal bearing is compared and discussed with the stability of stationary grooved journal bearing.

  • PDF