• Title/Summary/Keyword: stiff

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An Enhanced Chebyshev Collocation Method Based on the Integration of Chebyshev Interpolation

  • Kim, Philsu
    • Kyungpook Mathematical Journal
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    • v.57 no.2
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    • pp.287-299
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    • 2017
  • In this paper, we develop an enhanced Chebyshev collocation method based on an integration scheme of the generalized Chebyshev interpolations for solving stiff initial value problems. Unlike the former error embedded Chebyshev collocation method (CCM), the enhanced scheme calculates the solution and its truncation error based on the interpolation of the derivative of the true solution and its integration. In terms of concrete convergence and stability analysis, the constructed algorithm turns out to have the $7^{th}$ convergence order and the A-stability without any loss of advantages for CCM. Throughout a numerical result, we assess the proposed method is numerically more efficient compared to existing methods.

Efficient 3D Analysis of Building Structures with A Rigid Floor System (주상복합구조물의 효율적인 3차원 해석)

  • 황현식;이동근
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.239-246
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    • 1996
  • Very stiff floor system in a residential-commercial building causes some problems in the numerical analysis procedure due to significant difference in stiffness with adjacent structural elements. Static analysis of structure with a stiff transfer-floor can be peformed approximately in two steps for upper and lower pons for the structure. However, it is impossible to perform dynamic analysis in two steps with separate models. An efficient method for dynamic analysis of a structure with a rigid floor system is proposed in this study. The matrix condensation technique is employed to reduce the degree of freedom for upper and lower parts of the structure and a beam elements with rigid bodies of both ends are introduce to model the rigid floor system. Efficiency end accuracy of the proposed method ore verified through analysis of several example structures.

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Measurement and Analysis of Natural Frequencies of External Tendons in PSC Bridge (PSC교량 외부긴장재의 고유진동수 측정 및 분석)

  • Lee, Jun-Ki
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.141-142
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    • 2009
  • This study discusses attempt of utilizing the natural frequencies to evaluate the effective stress of post-tensioned, external tendon in field. This type of structure has distinct advantage of good accessibility of tendon, which is considered to be one of essential elements in entire bridge. Six tendons in single span of PSC bridge were applied. They were excited using an impact hammer and corresponding vibrations were measured using multiple accelerometers. The stiff string model in idealized conditions was used to evaluate the effective stress in tendons.

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A Study on The Engineering Characteristics of Corestone Ground Mass. (핵석지반의 강도 및 변형특성 연구)

  • Lee, Su-Gon;Kim, Dong-Eun;Lee, Chun-Young;Kim, Jae-Heun;Yang, Hong-Suk
    • Proceedings of the Korean Geotechical Society Conference
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    • 2004.03b
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    • pp.327-333
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    • 2004
  • Corestone ground mass has complicated characteristics as it is made up of hard and stiff corestone in a relatively weak and soft matrix. Model corestone ground mass which is physically identical with the stiff corestone in weak matrix were tested in uniaxial compression. The tests show that the increase of the corestone proportion brought the gradual increase of the elastic modulus as well. The ground mass was weaker when the corestone proportion was low while it was stronger in higher corestone proportion. The size of the corestone had no influence on the strength and elastic modulus as long as the proportion of the corestone remains same.

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Modeling of fiber pullout behaviors of stiff fiber reinforced cementitious composites

  • Chang, Xu;Chen, Ya-Juan;Lin, Hai-Xiao;Zhang, Yong-Bin
    • Computers and Concrete
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    • v.9 no.3
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    • pp.171-178
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    • 2012
  • This paper presents numerical studies of stiff fiber pullout behaviors of fiber reinforced cementitious composites based on a progressive damage model. The ongoing debonding process is simulated. Interfacial stress distribution for different load levels is analyzed. A parametric study, including bond strength and the homogeneity index on the pullout behaviors is carried out. The numerical results indicate that the bond stress decreases gradually from loaded end to embedded end along fiber-cement interface. The debonding initially starts from loaded end and propagates to embedded end as load increasing. The embedded length and bond strength affect the load-loaded end displacement curves significantly. The numerical results have a general agreement with the experimental investigation.

Transarticular Portal for Elbow Arthroscopy (Transarticualr portal를 이용한 주관절의 관절경술)

  • Kim, Sung-Jae;Park, In-Seop;Kim, Ju-Young;Jeong, Jae-Hoon;Ryu, Sang-Wook;Cheon, Yong-Min
    • Clinics in Shoulder and Elbow
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    • v.6 no.2
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    • pp.127-130
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    • 2003
  • Arthroscopy of the elbow is a very precise and demanding procedure due to the closeness of the recommended portals to neurovascular structures and complexity of articular geometry. So to establish safe portal is not always reproducible especially in case of stiff elbow, even for the experienced arthroscopist. We described new tip of elbow arthroscopy using a new starting portal. This procedure is almost always reproducible even in stiff elbow, and minimizes risk of damage to neurovascular structures.

Effect of Torsional Eccentricity on the Seismic Response of High-Rise RC Bearing-Wall Structures with Vertical Irregularity (고층 RC 벽식 비정형 구조물의 지진반응에 대한 비틀림 편심의 효과)

  • 고동우;이한선
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.145-150
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    • 2003
  • The objective of this study is to investigate the effect of torsional eccentricity on the seismic response of high-rise RC bearing-wall structures with vertical irregularity. For this purpose, two 1:12 scale 17-story RC model structures, the one has concentric shear wall and the other has eccentric shear wall, were constructed and then subjected to a series of earthquake excitations. The test result shows the followings: 1) the layout of shear wall has the negligible effect on the natural period and the base shear coefficient, 2) the eccentric model behaves in the first and second mode while the concentric model has the first mode predominantly, 3) the stiff frame in the eccentric model resists most of overturning moment in the severe earthquake though both frames (the stiff and flexible frames) resist almost equally in the design earthquake.

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A NEW APPROACH FOR NUMERICAL SOLUTION OF LINEAR AND NON-LINEAR SYSTEMS

  • ZEYBEK, HALIL;DOLAPCI, IHSAN TIMUCIN
    • Journal of applied mathematics & informatics
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    • v.35 no.1_2
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    • pp.165-180
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    • 2017
  • In this study, Taylor matrix algorithm is designed for the approximate solution of linear and non-linear differential equation systems. The algorithm is essentially based on the expansion of the functions in differential equation systems to Taylor series and substituting the matrix forms of these expansions into the given equation systems. Using the Mathematica program, the matrix equations are solved and the unknown Taylor coefficients are found approximately. The presented numerical approach is discussed on samples from various linear and non-linear differential equation systems as well as stiff systems. The computational data are then compared with those of some earlier numerical or exact results. As a result, this comparison demonstrates that the proposed method is accurate and reliable.

Exponentially Fitted Error Correction Methods for Solving Initial Value Problems

  • Kim, Sang-Dong;Kim, Phil-Su
    • Kyungpook Mathematical Journal
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    • v.52 no.2
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    • pp.167-177
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    • 2012
  • In this article, we propose exponentially fitted error correction methods(EECM) which originate from the error correction methods recently developed by the authors (see [10, 11] for examples) for solving nonlinear stiff initial value problems. We reduce the computational cost of the error correction method by making a local approximation of exponential type. This exponential local approximation yields an EECM that is exponentially fitted, A-stable and L-stable, independent of the approximation scheme for the error correction. In particular, the classical explicit Runge-Kutta method for the error correction not only saves the computational cost that the error correction method requires but also gives the same convergence order as the error correction method does. Numerical evidence is provided to support the theoretical results.

A Study on the Geotechnical Charateristics of Corestone Ground Mass (핵석 지반의 공학적 특성 연구)

  • Lee, Su-Gon;Kim, Dong-Eun;Lee, Chun-Young;Kim, Jae-Heun;Yang, Hong-Suk
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.7 no.1
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    • pp.68-76
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    • 2004
  • Corestone ground mass has complicated characteristics as it is made up of hard and stiff corestone in a relatively weak and soft matrix. Model corestone ground mass whichis physically identical with the stiff corestone in weak matrix were tested in uniaxial compression. The tests showthat the increase of the corestone proportion brought the gradual increase of the elastic modulus as well. The ground mass was weaker when the corestone proportion was low while it was stronger in higher corestone proportion. The size of the corestone had no influence on the strength and elastic modulus as long as the proportion of the corestone remains same.