• Title/Summary/Keyword: Series Expansion

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Dynamic Algorithm for Solid Problems using MLS Difference Method (MLS 차분법을 이용한 고체역학 문제의 동적해석)

  • Yoon, Young-Cheol;Kim, Kyeong-Hwan;Lee, Sang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.2
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    • pp.139-148
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    • 2012
  • The MLS(Moving Least Squares) Difference Method is a numerical scheme that combines the MLS method of Meshfree method and Taylor expansion involving not numerical quadrature or mesh structure but only nodes. This paper presents an dynamic algorithm of MLS difference method for solving transient solid mechanics problems. The developed algorithm performs time integration by using Newmark method and directly discretizes strong forms. It is very convenient to increase the order of Taylor polynomial because derivative approximations are obtained by the Taylor series expanded by MLS method without real differentiation. The accuracy and efficiency of the dynamic algorithm are verified through numerical experiments. Numerical results converge very well to the closed-form solutions and show less oscillation and periodic error than FEM(Finite Element Method).

On Numerical Method for Radiation Problem of a 2-D Floating Body (2차원 부유체 강제동요문제의 수치해석에 관하여)

  • Y.S. Shin;K.P. Rhee
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.2
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    • pp.43-53
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    • 1993
  • There exist two difficulties in the nonlinear wave-body problems. First is the abrupt behavior near the intersection point between the body and the free surface, and second is the far field treatment. In this paper, the far field treatment is considered. The main idea is the Taylor series expansion of free-surface geometry and the application of F.F.T. algorithm. The numerical step is as follows. The velocity potential is expressed by the Green's theorem. and the solution is obtained by iteration method. In the iteration stage, the expressions by the Green's theorem are transformed to the convolution forts with the expansion of free surface by the wave slope. Here F.F.T. is applied, so the computing time can be of O(Nlog N) where N is the number of unknowns. The numerical analysis is carried out and the results are compared with other results in linear floating body problem and nonlinear moving pressure patch problem, and good agreements are obtained. Finally nonlinear floating body radiation problem is carried out with computing time of O(Nlog N).

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Synthesis and Characterization of Wholly Aromatic Polyester Liquid Crystalline Thermosets (전방향족 폴리에스터 열경화성 액정의 합성과 특성)

  • Moon, Hyun-Gon;Jung, Myung-Sup;Chang, Jin-Hae
    • Polymer(Korea)
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    • v.36 no.1
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    • pp.9-15
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    • 2012
  • We prepared a series of aromatic liquid crystals (LCs) based on wholly aromatic ester units with the reactive end group methyl maleimide by means of melt condensation method, and the resulting LCs were thermally crosslinked to produce liquid crystalline thermoset (LCT) films. The synthesized LCs and LCTs were characterized with Fourier transform infrared (FTIR) spectroscopy, wide angle X-ray diffraction (WAXD), differential scanning calorimetry (DSC), thermogravimetric analysis (TGA), thermomechanical analysis (TMA), and polarizing optical microscopy (POM) with a hot stage. The glass transition temperature ($T_g$) and coefficient of thermal expansion are strongly affected by the mesogen units in their main chain structures. The $p$-substituted biphenyl LC was found to have the highest thermal property value.

A Starting Characteristics Study of the Scramjet Engine Test Facility with a Mach 5.0 Nozzle (마하 5.0 노즐을 장착한 스크램제트 엔진 시험설비의 시동 특성 연구)

  • Lee, Yang-Ji;Yang, In-Young;Yang, Soo-Seok
    • Journal of the Korean Society of Propulsion Engineers
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    • v.17 no.4
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    • pp.63-72
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    • 2013
  • A Mach 5 nozzle and a diffuser of the Scramjet Engine Test Facility (SETF) were made for a hydrocarbon-fueled scramjet engine. SETF, attached with a diffuser guide, started with a model of 60% blockage, though the model engine could not start by over expansion of the facility nozzle. The model was moved into the nozzle to escape the shock generated from the nozzle exit, both SETF and the engine could start. The pitot rake experiments (blockage of 2.3%) were done for measuring the core flow in the test section. From the pitot experiments, the core flow was expanded by an under expansion. It means that the core flow in the test section was related with a model blockage. SETF and the engine with a blockage of 33% work normally. From a series of experiments, SETF started with a normal shock efficiency of 58%, regardless of a blockage ratio.

The Asymmetric Relationship between Output Volatility and Growth : Evidence from the U.K. Industrial Production (영국 산업생산 자료에 나타난 성장률과 변동성간의 비대칭적 관계)

  • Kim, Jan R.
    • International Area Studies Review
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    • v.14 no.3
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    • pp.86-107
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    • 2010
  • Prior research on the relationship between output volatility and growth has produced mixed results, failing to provide clear empirical evidence on the sign of the relationship. In this paper, we raise the possibility that such failure is due to misspecification in empirical models previously used, i.e., not taking into account the business cycle dependence of the volatility-growth relation. We set off with the conjecture that higher volatility exerts qualitatively different effect on growth depending on whether the economy is in expansion or contraction. We estimate a series of ARCH-type models with the monthly industrial production data of the U.K., and find strong evidence suggesting that the volatility-growth relation is positive when the economy is in expansion, while higher volatility lowers growth rate in the contraction phase. We also find evidence supporting that the volatility-growth relation estimated in the paper captures a a causal relation, not a bidirectional correlation.

Pull-out Characteristics of Multi-Packer Pressurized Soil Nails (가압 그라우팅 쏘일네일링 공법의 인발거동 특성)

  • Cho, Jae-Yeon;Lee, Sung-June;Jeong, Sang-Seom;Ahn, Byeong-Heun
    • Journal of the Korean Geotechnical Society
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    • v.26 no.2
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    • pp.15-22
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    • 2010
  • A series of field pull-out tests were carried out to investigate the behaviour of multi-pressurized soil nails. Ten soil nails were constructed in weathered soil and then, subjected to pull-out loads. The test results showed that the ultimate pull-out resistances of soil nails constructed with high pressure were about 42~142% larger than those obtained from conventional soil nails. The deduced interface shear strength at the ground-grout interface was 71 kPa for conventional soil nails, while higher shear strength of 95~166 kPa was obtained for pressurized nails. The diameter of grouted borehole increased by about 12~27% compared to ordinary soil nails under low pressure. Also, the predicted value by the cavity expansion theory is in good agreement with the measured expanded radius of grout under injection pressure by field pull-out tests.

Probabilistic Stability Analysis of Slopes by the Limit Equilibrium Method Considering Spatial Variability of Soil Property (지반물성의 공간적 변동성을 고려한 한계평형법에 의한 확률론적 사면안정 해석)

  • Cho, Sung-Eun;Park, Hyung-Choon
    • Journal of the Korean Geotechnical Society
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    • v.25 no.12
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    • pp.13-25
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    • 2009
  • In this paper, a numerical procedure of probabilistic slope stability analysis that considers the spatial variability of soil properties is presented. The procedure extends the deterministic analysis based on the limit equilibrium method of slices to a probabilistic approach that accounts for the uncertainties and spatial variation of the soil parameters. Making no a priori assumptions about the critical failure surface like the Random Finite Element Method (RFEM), the approach saves the amount of solution time required to perform the analysis. Two-dimensional random fields are generated based on a Karhunen-Lo$\grave{e}$ve expansion in a fashion consistent with a specified marginal distribution function and an autocorrelation function. A Monte Carlo simulation is then used to determine the statistical response based on the random fields. A series of analyses were performed to verify the application potential of the proposed method and to study the effects of uncertainty caused by the spatial heterogeneity on the stability of slope. The results show that the proposed method can efficiently consider the various failure mechanisms caused by the spatial variability of soil property in the probabilistic slope stability assessment.

The Development of Econometric Model for Air Transportation Demand Based on Stationarity in Time-series (시계열 자료의 안정성을 고려한 항공수요 계량경제모형 개발)

  • PARK, Jeasung;KIM, Byung Jong;KIM, Wonkyu;JANG, Eunhyuk
    • Journal of Korean Society of Transportation
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    • v.34 no.1
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    • pp.95-106
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    • 2016
  • Air transportation demand is consistently increasing in Korea due to economic growth and low cost carriers. For this reason, airport expansion plans are being discussed in Korea. Therefore, it is essential to forecast reliable air transportation demand with adequate methods. However, most of the air transportation demand models in Korea has been developed by simple regression analysis with several dummy variables. Simple regression analysis without considering stationarity of time-series data can bring spurious outputs when a direct causal relationship between explanatory variables and dependent variable does not exist. In this paper, econometric model were developed for air transportation demand based on stationarity in time-series data. Unit root test and co-integration test are used for testing hypothesis of stationarity.

Approximation of a Warship Passive Sonar Signal Using Taylor Expansion (테일러 전개를 이용한 함정 수동 소나 신호 근사)

  • Hong, Wooyoung;Jung, Youngcheol;Lim, Jun-Seok;Seong, Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.33 no.4
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    • pp.232-237
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    • 2014
  • A passive sonar of warship is composed of several directional or omni-directional sensors. In order to model the acoustic signal received into a warship sonar, the wave propagation modeling is usually required from arbitrary noise source to all sensors equipped to the sonar. However, the full calculation for all sensors is time-consuming and the performance of sonar simulator deteriorates. In this study, we suggest an asymptotic method to estimate the sonar signal arrived to sensors adjacent to the reference sensor, where it is assumed that all information of eigenrays is known. This method is developed using Taylor series for the time delay of eigenray and similar to Fraunhofer and Fresnel approximation for sonar aperture. To validate the proposed method, some numerical experiments are performed for the passive sonar. The approximation when the second-order term is kept is vastly superior. In addition, the error criterion for each approximation is provided with a practical example.

Measurement of 2D surface deformation on the Seguam volcano of Alaska using DInSAR Multi-track time-series techniques (DInSAR 멀티 트랙 시계열 기법을 이용한 알라스카 시구암 화산의 2차원 지표변위 관측)

  • Lee, Seul-Ki;Lee, Chang-Wook
    • Korean Journal of Remote Sensing
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    • v.30 no.6
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    • pp.719-730
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    • 2014
  • Small BAseline Subset (SBAS) technique using multi master interferograms can be effective to detect surface deformation in forest area. In this paper, The analysis reveals area of 2-dimension surface deformation at Seguam Island in Aleutian Arc., Alaska. We acquired ERS-1/2 data from track 201 and 473 datasets on Seguam Island from 1992 to 2008. This study analyze surface deformation applying Differential Interferometry Synthetic Aperture Radar (DInSAR) and SBAS time series method using two adjacent tracks. As a results, it was calculated that subsidence -1~2 cm in LOS direction and - 2~3 cm in vertical direction. The horizontal direction was repeated contraction and expansion. The observation of 2-dimension displacements explained the volcanic activity on Seguam island. Also, it is believed to be used for basic data to estimate movements of magma source.