• Title/Summary/Keyword: Mass matrix

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Exact calculation of natural frequencies of repetitive structures

  • Williams, F.W.;Kennedy, D.;Wu, Gaofeng;Zhou, Jianqing
    • Structural Engineering and Mechanics
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    • v.4 no.5
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    • pp.553-568
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    • 1996
  • Finite element stiffness matrix methods are presented for finding natural frequencies (or buckling loads) and modes of repetitive structures. The usual approximate finite element formulations are included, but more relevantly they also permit the use of 'exact finite elements', which account for distributed mass exactly by solving appropriate differential equations. A transcendental eigenvalue problem results, for which all the natural frequencies are found with certainty. The calculations are performed for a single repeating portion of a rotationally or linearly (in one, two or three directions) repetitive structure. The emphasis is on rotational periodicity, for which principal advantages include: any repeating portions can be connected together, not just adjacent ones; nodes can lie on, and members along, the axis of rotational periodicity; complex arithmetic is used for brevity of presentation and speed of computation; two types of rotationally periodic substructures can be used in a multi-level manner; multi-level non-periodic substructuring is permitted within the repeating portions of parent rotationally periodic structures or substructures and; all the substructuring is exact, i.e., the same answers are obtained whether or not substructuring is used. Numerical results are given for a rotationally periodic structure by using exact finite elements and two levels of rotationally periodic substructures. The solution time is about 500 times faster than if none of the rotational periodicity had been used. The solution time would have been about ten times faster still if the software used had included all the substructuring features presented.

Development of Performance Evaluation Method of Shock-Resistance(DDAM) using NASTRAN DMAP (NASTRAN DMAP을 활용한 내충격 평가 기법(DDAM) 개발에 관한 연구)

  • M.Y. Shin;J.H. Lee;J.H. Jung;B.H. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.2
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    • pp.114-120
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    • 1999
  • The DDAM(Dynamic Design Analysis Method) has been the most popular method for the shock response analysis of naval shipboard equipment. It was common to model the equipment as a simplified mass-spring system with multi degree of freedom in DDAM. Nowadays, however, it is necessary to adopt the finite element method for the shock response analysis due to the complexity of equipment. In this study, the DDAM program is developed to evaluate the performance of shock-resistance of FEM models using MSC/NASTRAN DMAP(Direct Matrix Abstraction Program) which provides the practical tools in interfacing with the externally developed program. Through the numerical test of the structural components and comparison with the results of ANSYS DDAM, it is confirmed that the developed program can be applicable to analyze the shock responses of the shipboard equipments.

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Folate Receptor-Specific Positron Emission Tomography Imaging with Folic Acid-Conjugated Tissue Inhibitor of Metalloproteinase-2

  • Kim, Sung-Min;Choi, Naeun;Hwang, Seungkyun;Yim, Min Su;Lee, Jung-Sik;Lee, Sang-Mok;Cho, Gyunggoo;Ryu, Eun Kyoung
    • Bulletin of the Korean Chemical Society
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    • v.34 no.11
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    • pp.3243-3248
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    • 2013
  • The tissue inhibitor of metalloproteinase-2 (TIMP-2) inhibits matrix metalloproteinases activity and modulates cellular proliferation and apoptosis. The human serum albumin-TIMP-2 with folic acid conjugate (termed HT2-folate) was synthesized to promote uptake through folate receptors (FRs), and a corresponding radio-labeled compound was prepared for tumor diagnosis by positron emission tomography (PET). $^{68}Ga$-NOTA-HT2-folate was synthesized from $^{68}Ga$ and the NOTA chelator with HT2-folate. The fusion protein was identified using MALDI-TOF mass spectrometry. The radioligand was prepared with a high radiochemical yield. Cell-surface association of $^{68}Ga$-NOTA-HT2-folate significantly increased over time in FR-positive tumor cells. In animal PET and biodistribution studies, tumor uptake was very high as early as 1 h after radioligand injection. Folate conjugation enhanced the selective receptor-targeting efficacy of HT2 in FRexpressing tumors, and its radioligand will be useful as an in vitro tool and for in vivo tumor diagnosis by PET imaging.

General Theory for Free Vibration and Stability Analysis of Thin-walled Space Frames (박벽 공간뼈대구조의 자유진동 및 안정성해석을 위한 일반이론)

  • 김문영;김성보
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.191-204
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    • 1998
  • The general formulation for free vibration and stability analysis of unsymmetric thin-wared space frames is presented in case where the shear deformation effects are neglected. The kinetic and total potential energies are derived by applying the extended virtual work principle, introducing displacement parameters defined at the arbitrarily chosen axis and including warping deformation and second order terms of finite semitangential rotations. In formulating the finite element procedure, cubic Hermitian polynomials are utilized as shape functions of the two node space frame element. Mass, elastic stiffness, and geometric stiffness matrices for the unsymmetric thin-walled section are evaluated, and load-correction stiffness matrices for off-axis distributed loadings are considered. In order to illustrate the accuracy and practical usefulness of this formulation, finite element solutions for the free vibration and stability problems of thin-walled beam-columns and space frames are presented and compared with available solutions.

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Fabrication of $YBa_{2}Cu_{3}O_{7-x}$-Ag Composite Superconductors by Pyrophoric Synthetic Method (발화합성법에 의한 $YBa_{2}Cu_{3}O_{7-x}$-Ag 복합 초전도체 제조)

  • Yang, Seok-U;Kim, Chan-Jung;Hong, Gye-Won;Sin, Hyeong-Sik
    • Korean Journal of Materials Research
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    • v.8 no.12
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    • pp.1082-1089
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    • 1998
  • To obtain fine dispersion of Ag particles in $YBa_2$$Cu_3$$O_{7-y}$ (123) superconductors, 123 samples were made by pyrophoric synthetic method using malic acid and the subsequent solid- state reaction. As the pyrophoric synthetic powder was used as a precursor material, fine 123 powder of submicron size was produced in a short reaction time. The added $Ag_2$O was converted to metallic Ag during Pyrophoric reaction and it accelerated both the formation of 123 phase and the grain growth via the enhanced mass transfer. The Ag particles of the sample sintered using the pyrephoric synthetic powder were more finely dispersed in the 123 matrix, compared to those of the sample sintered using the mechanically mixed powder, attributing to the improvement of the superconducting properties.

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The Effect of Kamijoaguiem on Osteoporosis Induced by Ovariectomy in Rats (가미좌귀음(加味左歸飮)이 난소적출(卵巢摘出)로 유도(誘導)된 백서(白鼠)의 골다공증(骨多孔症) 미치는 영향(影響))

  • Choi, Jin-Kyung;Yoo, Dong-Youl
    • The Journal of Korean Obstetrics and Gynecology
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    • v.19 no.2
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    • pp.107-126
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    • 2006
  • Purpose : This study was peformed to evaluate the effect of Kamijoaguiem(JGE) on the bone mass and its related factors. Methods : We used ovariectomized rat as an estrogen-deficient animal model. The model rats of osteoporosis showed a significant decrease in bone density, bone ash density, calcium content of femur bone. At the 7th day after operating ovariectomy, rats were administered with JGE per orally, and continued for 10 weeks. And osteoporosis related parameters were determined to investigate the effect of JGE. Results : Bone density, bone ash density, bone calcium, magnesium and phosphorus was decreased in osteoporotic rats. JGE improved the decreased bone density, bone ash density and the decreased bone magnesium, but JGE didn't improve the decreased bone calcium and phosphorus in osteoporotic rats. Osteocalcin in serum and hydroxy-proline excretion in urine were increased in osteoporotic rats. Their levels were decreased when JGE was administered. ALP activity in serum was increased in osteoporotic rats. JGE didn't induce any significant changes. JGE showed significant increase in serum calcium level, total protein level, albumin level, BUN level, serum LDH activity. JGE didn't show significant increase in serum T-cholesterol density, triglyceride density, HDL-cholesterol density. JGE didn't show significant increase in RBC number, hemoglobin level, platelet number, hematocrit level. JGE showed inhibitory effect on the degradation of bone-matrix in osteoporotic rats, in histological examination to Hematoxylin-eosin stain. Conclusion : JGE might improve bone density due to inhibition of bone resolution in osteoporotic rats. It suggest that JGE may be useful prescription in osteoporosis.

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An Exploratory Study on the Developmental Process of Internet Portals: Perspectives on Commercialization (인터넷 포털 기업의 발전과정에 관한 탐색적 연구: 수익화 관점에서)

  • Jung, Kyung-Ae;Park, Seung-Bong;Han, Jae-Min
    • Information Systems Review
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    • v.6 no.2
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    • pp.95-111
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    • 2004
  • Internet portal is an entryway, the first page encountered before the user entered target sites. Despite tremendous interest in the proliferation of internet portals, there is little, if any, research that demonstrates developmental process of internet portals. This developmental process is important to the generation of critical mass for e-business. The objective of this research is to discuss the process and evolution of internet portals via qualitative research. In doing so, we present $2{\times}2$ matrix as determinant with analyzing how it impacts developmental process of internet portals and perform case study to demonstrate them. The result shows that First, all internet portals are have tried to link 4C and commercialization through developmental process. Second, community service is one of the most important ways to realize commercialization in electronic market.

Isolation, Purification and Characterization of Antioxidative Bioactive Elastin Peptides from Poultry Skin

  • Nadalian, Mehdi;Kamaruzaman, Nurkhuzaiah;Yusop, Mohd Shakir Mohamad;Babji, Abdul Salam;Yusop, Salma Mohamad
    • Food Science of Animal Resources
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    • v.39 no.6
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    • pp.966-979
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    • 2019
  • Muscle-based by-products are often undervalued although commonly reported having a high amount of natural bioactive peptides. In this study, elastin was isolated from the protein of broiler hen skin while its hydrolysate was prepared using Elastase. Assessment of antioxidative properties of elastin-based hydrolysate (EBH) was based on three different assays; 2,2-diphenyl-1-picryl-hydrazyl-hydrate (DPPH) radical, 2,2'-azinobis (3-ethylbenzothiazoline-6-sulphonic acid) (ABTS) radical and metal chelating ability. The EBH was purified further using ultrafiltration, gel filtration and Reverse- Phase High-Performance Liquid Chromatography (RP-HPLC). The IC50 of ABTS radical activities for EBH were decreased as EBH further purified using ultrafiltration (EBH III; 0.66 mg/mL)>gel filtration (EB-II; 0.42 mg/mL)>RP-HPLC (EB-II4; 0.12 mg/mL). The sequential identification of the peptide was done by matrix-assisted laser desorption/ionization time-of-flight/time-of-flight mass spectrometry (MALDI-TOF/ TOF-MS) of the potent fractions obtained from RP-HPLC (EB-II4). The presence of hydrophobic amino acids (Val and Pro) in the peptide sequences could potentially contribute to the high antioxidant activity of EBH. The sequences GAHTGPRKPFKPR, GMPGFDVR and ADASVLPK were identified as antioxidant peptides. In conclusion, the antioxidative potential from poultry skin specifically from elastin is evident and can be explored to be used in many applications such as health and pharmaceutical purposes.

Statistical Back Trajectory Analysis for Estimation of CO2 Emission Source Regions (공기괴 역궤적 모델의 통계 분석을 통한 이산화탄소 배출 지역 추정)

  • Li, Shanlan;Park, Sunyoung;Park, Mi-Kyung;Jo, Chun Ok;Kim, Jae-Yeon;Kim, Ji-Yoon;Kim, Kyung-Ryul
    • Atmosphere
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    • v.24 no.2
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    • pp.245-251
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    • 2014
  • Statistical trajectory analysis has been widely used to identify potential source regions for chemically and radiatively important chemical species in the atmosphere. The most widely used method is a statistical source-receptor model developed by Stohl (1996), of which the underlying principle is that elevated concentrations at an observation site are proportionally related to both the average concentrations on a specific grid cell where the observed air mass has been passing over and the residence time staying over that grid cell. Thus, the method can compute a residence-time-weighted mean concentration for each grid cell by superimposing the back trajectory domain on the grid matrix. The concentration on a grid cell could be used as a proxy for potential source strength of corresponding species. This technical note describes the statistical trajectory approach and introduces its application to estimate potential source regions of $CO_2$ enhancements observed at Korean Global Atmosphere Watch Observatory in Anmyeon-do. Back trajectories are calculated using HYSPLIT 4 model based on wind fields provided by NCEP GDAS. The identified $CO_2$ potential source regions responsible for the pollution events observed at Anmyeon-do in 2010 were mainly Beijing area and the Northern China where Haerbin, Shenyang and Changchun mega cities are located. This is consistent with bottom-up emission information. In spite of inherent uncertainties of this method in estimating sharp spatial gradients within the vicinity of the emission hot spots, this study suggests that the statistical trajectory analysis can be a useful tool for identifying anthropogenic potential source regions for major GHGs.

Mathematical Models that Underlie Computer Simulation of the Trawl Doors for Mid-Water Trawls

  • Gabryuk, Victor Ivanovich;Kudakaev, Vasilii Vladimirovich
    • Ocean and Polar Research
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    • v.42 no.1
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    • pp.77-88
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    • 2020
  • This paper presents the coordinate systems used for trawl doors modeling, and provides matrix equations of connection between these systems. The projections of the forces acting on the door into axes of various coordinate systems were obtained, which were used in the door equilibrium equations. Six equilibrium conditions for the door as a solid were obtained: formulas that allow for the door area in plan to be determined; its weight in water; its mass; three moment equations for determining the position of the warp and backstrops fastening points to the door with triangular and quadrangular backstrop arrangements. It was found that the moment equilibrium equations of trawl doors are generally incompatible, which was not found by any of the authors who have previously conducted research into trawl doors. Using the Kronecker-Capelli theorem, the compatibility equation is obtained. This equation includes the coordinates of the backstrop fastening points to the door, which means that these points cannot be randomly selected. The technique of determining the warp and backstrops' fastening points position to the door is described. Conditions of directional (by angle of attack) and roll (in angle of roll) stability of the doors' equilibrium are presented. The equations presented in this paper comprise a mathematical model that allows, when designing the doors, to select optimal parameters, as well as to carry out adjustments for trawling purposes to ensure the stable movement of the doors and the entire trawl system.