• Title/Summary/Keyword: Second order derivative

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Analysis of Rectangular Plates under Distributed Loads of Various Intensity with Interior Supports at Arbitrary Positions (분포하중(分布荷重)을 받는 구형판(矩形板)의 탄성해석(彈性解析))

  • Suk-Yoon,Chang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.13 no.1
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    • pp.17-23
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    • 1976
  • Some methods of analysis of rectangular plates under distributed load of various intensity with interior supports are presented herein. Analysis of many structures such as bottom, side shell, and deck plate of ship hull and flat slab, with or without internal supports, Floor systems of bridges, included crthotropic bridges is a problem of plate with elastic supports or continuous edges. When the four edges of rectangular plate is simply supported, the double Fourier series solution developed by Navier can represent an exact result of this problem. If two opposite edges are simply supported, Levy's method is available to give an "exact" solution. When the loading condition and supporting condition of a plate does not fall into these cases, no simple analytic method seems to be feasible. Analysis of a simply supported rectangular plate under irregularly distributed loads of various intensity with internal supports is carried out by applying Navier solution well as the "Principle of Superposition." Finite difference technique is used to solve plates under irregularly distributed loads of various intensity with internal supports and with various boundary conditions. When finite difference technique is applied to the Lagrange's plate bending equation, any of fourth order derivative term in this equation produces at least five pivotal points leading to some troubles when the resulting linear algebraic equations are to be solved. This problem was solved by reducing the order of the derivatives to two: the fourth order partial differential equation with one dependent variable, namely deflection, is changed to an equivalent pair of second order partial differential equations with two dependent variables. Finite difference technique is then applied to transform these equations to a set of simultaneous linear algebraic equations. Principle of Superposition is then applied to handle the problems caused by concentrated loads and interior supports. This method can be used for the cases of plates under irregularly distributed loads of various intensity with arbitrary conditions such as elastic supports, or continuous edges with or without interior supports, and this method can also be solve the influence values of deflection, moment and etc. at arbitrary position of plates under the live load.

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Automated Vessels Detection on Infant Retinal Images

  • Sukkaew, Lassada;Uyyanonvara, Bunyarit;Barman, Sarah A;Jareanjit, Jaruwat
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.321-325
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    • 2004
  • Retinopathy of Prematurity (ROP) is a common retinal neovascular disorder of premature infants. It can be characterized by inappropriate and disorganized vessel. This paper present a method for blood vessel detection on infant retinal images. The algorithm is designed to detect the retinal vessels. The proposed method applies a Lapalacian of Gaussian as a step-edge detector based on the second-order directional derivative to identify locations of the edge of vessels with zero crossings. The procedure allows parameters computation in a fixed number of operations independent of kernel size. This method is composed of four steps : grayscale conversion, edge detection based on LOG, noise removal by adaptive Wiener filter & median filter, and Otsu's global thresholding. The algorithm has been tested on twenty infant retinal images. In cooperation with the Digital Imaging Research Centre, Kingston University, London and Department of Opthalmology, Imperial College London who supplied all the images used in this project. The algorithm has done well to detect small thin vessels, which are of interest in clinical practice.

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Comparison of different iterative schemes for ISPH based on Rankine source solution

  • Zheng, Xing;Ma, Qing-wei;Duan, Wen-yang
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.9 no.4
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    • pp.390-403
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    • 2017
  • Smoothed Particle Hydrodynamics (SPH) method has a good adaptability for the simulation of free surface flow problems. There are two forms of SPH. One is weak compressible SPH and the other one is incompressible SPH (ISPH). Compared with the former one, ISPH method performs better in many cases. ISPH based on Rankine source solution can perform better than traditional ISPH, as it can use larger stepping length by avoiding the second order derivative in pressure Poisson equation. However, ISPH_R method needs to solve the sparse linear matrix for pressure Poisson equation, which is one of the most expensive parts during one time stepping calculation. Iterative methods are normally used for solving Poisson equation with large particle numbers. However, there are many iterative methods available and the question for using which one is still open. In this paper, three iterative methods, CGS, Bi-CGstab and GMRES are compared, which are suitable and typical for large unsymmetrical sparse matrix solutions. According to the numerical tests on different cases, still water test, dam breaking, violent tank sloshing, solitary wave slamming, the GMRES method is more efficient than CGS and Bi-CGstab for ISPH method.

NEAR INFRARED SPECTROSCOPY, A POWERFUL TECHNIQUE IN HUMAN SKIN STUDY : PART I METHOD RELIABILITY AND INFLUENTIAL PARAMETERS

  • Snieder, Marchel;Wiedemann, Sophie;Hansen, Wei G.
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.3101-3101
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    • 2001
  • Near Infrared spectroscopy (NIR) used on human skin measurement was explored in the past decade. Many publications in different journals and magazines discussed the feasibility of the NIR technique for cosmetic product property studies. Based upon the results of pioneers, we have pursued some work of the NIR instrument coupled with a probe module for skin measurement in vivo and vitro. In part I of this paper, the specific Near Infrared spectroscopy instrument stability, human subject conditions and other parameters, which could affect the measurements reproducibility are discussed. Second derivative NIR spectra and Principle Components Analysis (PCA) are utilised for data interpretation. In part II of this paper, the relationship of human skin moisture and ageing, the gender information and finally, the discovery of penetration depth of NIR incident light on skin are reported. A theoretical penetration depth calculation equation is proposed. In part III, the study results of a couple of commercial skin care products effect will be described. The skin lotions were applied on human skin (in vivo) in order to exam the NIR feasibility to monitor the changes of moisture level. The results are consistently positive. From our primary study, it can conclude that the NIR is potentially a very powerful instrument for skin condition diagnostics, either for cosmetic and/or for medication purposes.

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A Study on Thermodynamics for Compositional Separation in Co-Cr magnetic Alloy Films (Co-Cr 자성합금 박막의 조성적 상분리 현상의 열역학적 고찰)

  • Song, O-Seong;Jeon, Jeon-An
    • Korean Journal of Materials Research
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    • v.9 no.4
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    • pp.341-344
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    • 1999
  • We reported compositional separation(CS) into Co-enriched and Cri-enriched components inside the grains of Co-Cr based thin films prepared by rf sputtering. CS strongly depends on the sputtering conditions of substrate temperature and target composition. Tuning the microstructure of the Co-Cr films is important in order to employ the CS for high-density magnetic recording. We investigated the origin of CS from thermodynamic viewpoint. We employ a spinodal decomposition-like model to describe the origin of the CS in Co-Cr films. We consider the total free energy of the Co-Cr films as the sum of several free energies of; 1) thermodynamic mixing entropy of a binary solid solution, 2) magnetic ordering interaction(MOI) energy below the Curie temperature, and 3) excess interaction energy(XS) caused by the sputtering process as a function of temperature and composition. Those energies distorted the total free energy like the spinodal decomposition and caused the compositionally separated fine microstructure inside the grains. If the second derivative of the total free energy with respect to Cr composition becomes negative at a given substrate temperature, we may observe a metastable compositional separation inside the Co-Cr alloy films. We expect to exploit the microstructure of CS for ultra-high density magnetic recording.

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Risk Assessment for the Failure of an Arch Bridge System Based upon Response Surface Method(I): Component Reliability (응답면 기법에 의한 아치교량 시스템의 붕괴 위험성평가(I): 요소신뢰성)

  • Cho, Tae-Jun;Bang, Myung-Seok
    • Journal of the Korean Society of Safety
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    • v.21 no.6 s.78
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    • pp.74-81
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    • 2006
  • Probabilistic Risk Assessment considering statistically random variables is performed for the preliminary design of a Arch Bridge. Component reliabilities of girders have been evaluated using the response surfaces of the design variables at the selected critical sections based on the maximum shear and negative moment locations. Response Surface Method(RSM) is successfully applied for reliability analyses for this relatively small probability of failure of the complex structure, which is hard to be obtained by Monte-Carlo Simulations or by First Order Second Moment Method that can not easily calculate the derivative terms of implicit limit state functions. For the analysis of system reliability, parallel resistance system composed of girders is changed into parallel series connection system. The upper and lower probabilities of failure for the structural system have been evaluated and compared with the suggested prediction method for the combination of failure modes. The suggested prediction method for the combination of failure modes reveals the unexpected combinations of element failures in significantly reduced time and efforts compared with the previous permutation method or system reliability analysis method.

Distortion Corrected Black and White Document Image Generation Based on Camera (카메라기반의 왜곡이 보정된 흑백 문서 영상 생성)

  • Kim, Jin-Ho
    • The Journal of the Korea Contents Association
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    • v.15 no.11
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    • pp.18-26
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    • 2015
  • Geometric distortion and shadow effect due to capturing angle could be included in document copy images that are captured by a camera in stead of a scanner. In this paper, a clean black and white document image generation algorithm by distortion correction and shadow elimination based on a camera, is proposed. In order to correct geometric distortion such as straightening un-straight boundary lines occurred by camera lens radial distortion and eliminating outlying area included by camera direction, second derivative filter based document boundary detection method is developed. Black and white images have been generated by adaptive binarization method by eliminating shadow effect. Experimental results of the black and white document image generation algorithm by recovering geometrical distortion and eliminating shadow effect for the document images captured by smart phone camera, shows very good processing results.

Risk Assessment for a Bridge System Based upon Response Surface Method Compared with System Reliability (체계신뢰성 평가와 비교한 응답면기법에 의한 교량시스템의 위험성평가)

  • Cho, Tae-Jun;Moon, Jae-Woo;Kim, Jong-Tae
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.295-300
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    • 2007
  • Probabilistic Risk Assessment considering statistically random variables is performed for the preliminary design of a Arch Bridge. Component reliabilities of girders have been evaluated using the response surfaces of the design variables at the selected critical sections based on the maximum shear and negative moment locations. Response Surface Method (RSM) is successfully applied for reliability analyses for this relatively small probability of failure of the complex structure, which is hard to be obtained by Monte-Carlo Simulations or by First Order Second Moment Method that can not easily calculate the derivative terms of implicit limit state functions. For the analysis of system reliability, parallel resistance system composed of girders is changed into parallel series connection system. The upper and lower probabilities of failure for the structural system have been evaluated and compared with the suggested prediction method for the combination of failure modes. The suggested prediction method for the combination of failure modes reveals the unexpected combinations of element failures in significant]y reduced time and efforts compared with the previous permutation method or system reliability analysis method.

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A Study on the Numerical Methodologies of Hydroelasticity Analysis for Ship Springing Problem (스프링잉 응답을 위한 유탄성 해석의 수치기법에 대한 연구)

  • Kim, Yoo-Il;Kim, Kyong-Hwan;Kim, Yong-Hwan
    • Journal of the Society of Naval Architects of Korea
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    • v.46 no.3
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    • pp.232-248
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    • 2009
  • Numerical methodology to solve ship springing problem, which is basically fluid-structure interaction problem, was explored in this study. Solution of this hydroelasticity problem was sought by coupling higher order B-spline Rankine panel method and finite element method in time domain, each of which is introduced for fluid and structure domain respectively. Even though varieties of different combinations in terms of numerical scheme are possible and have been tried by many researchers to solve the problem, no systematic study regarding the characteristics of each scheme has been done so far. Here, extensive case studies have been done on the numerical schemes especially focusing on the iteration method, FE analysis of beam-like structure, handling of forward speed problem and so on. Two different iteration scheme, Newton style one and fixed point iteration, were tried in this study and results were compared between the two. For the solution of the FE-based equation of motion, direct integration and modal superposition method were compared with each other from the viewpoint of its efficiency and accuracy. Finally, calculation of second derivative of basis potential, which is difficult to obtain with accuracy within grid-based method like BEM was discussed.

Molecular Mechanisms of Casticin Action: an Update on its Antitumor Functions

  • Rasul, Azhar;Zhao, Bin-Ji;Liu, Jun;Liu, Bao;Sun, Jia-Xin;Li, Jiang;Li, Xiao-Meng
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.21
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    • pp.9049-9058
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    • 2014
  • Casticin (3', 5-dihydroxy-3, 4', 6, 7-tetramethoxyflavone) is an active compound isolated from roots, stems, leaves, fruits and seeds of a variety of plants. It is well known for its pharmacological properties and has been utilized as an anti-hyperprolactinemia, anti-tumor, anti-inflammatory, neuroprotetective, analgesic and immunomodulatory agent. Recently, the anticancer activity of casticin has been extensively investigated. The resulkts showed that it exerts protective potential by targeting apoptosis, considered important for cancer therapies. In this article, our aim was to review the pharmacological and therapeutic applications of casticin with specific emphasis on its anticancer functions and related molecular mechanisms. Chemotherapeutic effects are dependent on multiple molecular pathways, which may provide a new perspective of casticin as a candidate anti-neoplastic drug. This review suggests that additional studies and preclinical trials are required to determine specific intracellular sites of action and derivative targets in order to fully understand the mechanisms of its antitumor activity and validate this compound as a medicinal agent for the prevention and treatment of various cancers.