• Title/Summary/Keyword: Internal matrix

Search Result 515, Processing Time 0.047 seconds

Curved beam through matrices associated with support conditions

  • Gimena, Faustino N.;Gonzaga, Pedro;Valdenebro, Jose V.;Goni, Mikel;Reyes-Rubiano, Lorena S.
    • Structural Engineering and Mechanics
    • /
    • v.76 no.3
    • /
    • pp.395-412
    • /
    • 2020
  • In this article, the values of internal force and deformation of a curved beam under any action with the firm or elastic supports are determined by using structural matrices. The article presents the general differential formulation of a curved beam in global coordinates, which is solved in an orderly manner using simple integrals, thus obtaining the transfer matrix expression. The matrix expression of rigidity is obtained through reordering operations on the transfer notation. The support conditions, firm or elastic, provide twelve equations. The objective of this article is the construction of the algebraic system of order twenty-four, twelve transfer equations and twelve support equations, which relates the values of internal force and deformation associated with the two ends of the directrix of the curved beam. This final algebraic system, expressed in matrix form, is divided into two subsystems: twelve algebraic equations of internal force and twelve algebraic equations of deformation. The internal force and deformation values for any point in the curved beam directrix are determined from these values in the initial position. The five examples presented show how to apply the matrix procedures developed in this article, whether they are curved beams with the firm or elastic support.

Influence of Ge addition on phase formation and electromagnetic properties in internal tin processed $Nb_3$Sn wires (내부 확산법에 의한 $Nb_3$Sn초전도선에 Ge 첨가에 따른 임계전류 및 미세조직 변화)

  • 하동우;오상수;이남진;하홍수;권영길;류강식;백홍구
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2000.11a
    • /
    • pp.496-499
    • /
    • 2000
  • In order to investigate the effect of Ge addition to the Cu Matrix on the microstructure and the critical current density, four kinds of internal tin processed Nb$_3$Sn strands with pure Cu and Cu 0.2, 0.4, 0.6 wt% Ge alloy were drawn to 0.8 mm diameter. The microstructure and critical current of internal tin processed Nb$_3$Sn wires that were heat treated at temperatures ranging from 68$0^{\circ}C$ to 74$0^{\circ}C$ for 240 h were investigated. The Ge addition to the matrix did not make workability worse. A Ge rich layer in the Cu-Ge matrix suppressed the growth of the Nb$_3$Sn layer and promoted grain coarsening. The greater the Ge content in the matrix, the lower the net Jc result after Nb$_3$Sn reaction heat treatment. There was no significant variation in Jc observed with heat treatment temperature ranging from 68$0^{\circ}C$ to 74$0^{\circ}C$.

  • PDF

Structural matrices of a curved-beam element

  • Gimena, F.N.;Gonzaga, P.;Gimena, L.
    • Structural Engineering and Mechanics
    • /
    • v.33 no.3
    • /
    • pp.307-323
    • /
    • 2009
  • This article presents the differential system that governs the mechanical behaviour of a curved-beam element, with varying cross-section area, subjected to generalized load. This system is solved by an exact procedure or by the application of a new numerical recurrence scheme relating the internal forces and displacements at the two end-points of an increase in its centroid-line. This solution has a transfer matrix structure. Both the stiffness matrix and the equivalent load vector are obtained arranging the transfer matrix. New structural matrices have been defined, which permit to determine directly the unknown values of internal forces and displacements at the two supported ends of the curved-beam element. Examples are included for verification.

Robust independent control for position motion-inducing force, and internal force of multi-robot (다중 로보트의 위치, 운동야기힘과 내부힘의 강건 독립 제어)

  • 김종수;박세승;박종국
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.33B no.11
    • /
    • pp.11-21
    • /
    • 1996
  • Robot manipulators constituing multi-robot system must exert the desired motion force on an object to preserve tghe fine motion of it. The forces exerte on an object by the end-effectors of multi-inducing force and the internal force. Here, motion-inducing force effects the motion of an object, but internal force as lies in the null space of an object coordinate can't effect it. The motion of an object can't track exactly the desired motion by the effect of an object, but internal force as lies in the null space of the effect of internal force component, therefore internal force component must be considered. In this paper, first, under assumption that we can estimate exactly the parameter of dynamics, we constitute paper, first, under assumption that we can estimate exactly the parameter of dynamics, we constitute the controller concerning internal force. And we obtain the internal force as projecting force sensor readings onto the space spanned by null basis set of jacobian matrix. Using the resolved acceleration control method and the fact that internal force lies in the null space of jacobian matrix, we construct the robust control law to preserve the robustness with respect to the uncertainty of mainpulator parameters.

  • PDF

Influence of Ge addition on AC loss and micro-structure in $Nb_{3}Sn$ wires (Ge를 첨가한 Nb$_3$Sn 초전도 선에서의 교류손실 및 미세조직 변화)

  • 하도우;이남진;오상수;하홍수;송규정;권영길;류강식
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2001.07a
    • /
    • pp.104-107
    • /
    • 2001
  • In order to investigate the effect of Ge addition to the Cu matrix on the microstructure and the critical current density, four kinds of internal tin processed Nb$_3$Sn strands with pure Cu and Cu 0.2, 0.4, 0.6 wt % Ge alloys were drawn to 0.8 mm diameter. The microstructure and critical current of internal tin processed Nb$_3$Sn wires that were heat treated at temperatures ranging from 68$0^{\circ}C$ to 74$0^{\circ}C$ for 240h were investigated. The Ge addition to the matrix did not make workability worse. A Ge rich layer in the Cu-Ge matrix suppressed the growth of the Nb$_3$Sn layer and promoted grain coarsening. The greater the Ge content in the matrix, the lower the net Jc result after Nb$_3$sn reaction heat treatment. There was no significant variation in Jc observed with heat treatment temperature ranging from 68$0^{\circ}C$ to 74$0^{\circ}C$. The values of AC loss of Ge added wires were decreased to 40 % compare with no addition wire. Low AC loss was due to segregation of Ge rich layer in the Cu-Ge matrix. If Ge added wire with thin Nb filaments were fabricated, slow diffusion rate of Sn would be overcome and decreased AC loss that is weak Point of internal tin method.

  • PDF

Spectral Element Analysis of the Pipeline Conveying Internal Unsteady Fluid (내부 비정상 유동을 갖는 파이프계의 스펙트럼요소해석)

  • Park, Jong-Hwan;Lee, U-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.29 no.12 s.243
    • /
    • pp.1574-1585
    • /
    • 2005
  • In this paper, a spectral element model is developed for the uniform straight pipelines conveying internal unsteady fluid. Four coupled pipe-dynamics equations are derived first by using the Hamilton's principle and the principles of fluid mechanics. The transverse displacement, the axial displacement, the fluid pressure and the fluid velocity are all considered as the dependent variables. The coupled pipe-dynamics equations are then linearized about the steady state values of the fluid pressure and velocity. As the final step, the spectral element model represented by the exact dynamic stiffness matrix, which is often called spectral element matrix, is formulated by using the frequency-domain solutions of the linearized pipe-dynamics equations. The FFT-based spectral dynamic analyses are conducted to evaluate the accuracy of the present spectral element model and also to investigate the structural dynamic characteristics and the internal fluid transients of an example pipeline system.

Effects of Matrix Metalloproteinase Inhibitor on Ventilator-Induced Lung Injury in Rats (기계환기로 인한 백서의 급성 폐손상에서 Matrix Metalloproteinase Inhibitor의 효과)

  • Kim, Je-Hyeong;Park, Soo-Yeon;Hur, Gyu-Young;Lee, Seung-Heon;Lee, Sang-Yeub;Park, Sang-Myeon;Suh, In-Bum;Shin, Chol;Shim, Jae-Jeong;In, Kwang-Ho;Kang, Kyung-Ho;Yoo, Se-Hwa
    • Tuberculosis and Respiratory Diseases
    • /
    • v.53 no.6
    • /
    • pp.619-634
    • /
    • 2002
  • Background : Many inflammatory mediators and collagenases are involved in the pathogenesis of acute lung injury (ALI) and acute respiratory distress syndrome (ARDS). The increase of matrix metalloproteinase-9 (MMP-9, gelatinase-B) produced mainly by inflammatory cells was reported in many ALI models and connective tissue cells. In this study, the expression of MMP-9 in ventilator-induced lung injury (VILI) model and the effects of matrix metalloproteinase inhibitor (MMPI) on VILI were investigated. Methods : Eighteen Sprague-Dawley rats were divided into three groups: low tidal Volume (LVT, 7mL/Kg tidal volume, 3 $cmH_2O$ PEEP, 40/min), high tidal volume (HVT, 30mL/Kg tidal volume, no PEEP, 40/min) and high tidal volume with MMPI (HVT+MMPI) groups. Mechanical ventilation was performed in room air for 2 hours. The 20 mg/Kg of CMT-3 (chemically modified tetracycline-3, 6-demethyl 6-deoxy 4-dedimethylamino tetracycline) was gavaged as MMPI from three days before mechanical ventilation. The degree of lung injury was measured with wet-to-dry weight ratio and acute lung injury score. Expression of MMP-9 was studied by immunohistochemical stain with a mouse monoclonal anti-rat MMP-9 $IgG_1$. Results : In the LVT, HVT and HVT+MMPI groups, the wet-to-dry weight ratio was $4.70{\pm}0.14$, $6.82{\pm}1.28$ and $4.92{\pm}0.98$, respectively. In the HVT group, the ratio was significantly higher than other groups (p<0.05). Acute lung injury score measured by five-point scale was $3.25{\pm}1.17$, $12.83{\pm}1.17$ and $4.67{\pm}0.52$, respectively. The HVT group was significantly damaged by VILI and MMPI protects injuries by mechanical ventilation (p<0.05). Expression of MMP-9 measured by four-point scale was $3.33{\pm}2.07$, $12.17{\pm}2.79$ and $3.60{\pm}1.95$, respectively, which were significantly higher in the HVT group (p<0.05). Conclusion : VILI increases significantly the expression of MMP-9 and MMPI prevents lung injury induced by mechanical ventilation through the inhibition of MMP-9.

Changes of Sputum Matrix Metalloproteinases and Tissue Inhibitor of Matrix Metalloproteinase-1 by Antibiotic Treatment in Acute Exacerbation of Chronic Bronchitis (만성 기관지염의 급성 악화에서 항생제 투여에 의한 유도객담 내 Matrix metalloproteinase와 Tissue inhibitor of matrix metalloproteinase의 변화)

  • Yoon, Hyoung-Kyu;Ahn, Joong-Hyun;Kim, Chi-Hong;Kwon, Soon-Seog;Kim, Young-Kyoon;Kim, Kwan-Hyung;Moon, Hwa-Sik;Park, Sung-Hak;Song, Jeong-Sup
    • Tuberculosis and Respiratory Diseases
    • /
    • v.53 no.4
    • /
    • pp.420-430
    • /
    • 2002
  • Background : Excessive extracellular matrix (ECM) deposition by airway inflammation is presumed to play an important role in the pathogenesis of worsening airflow obstruction (Ed- acceptable three-word noun) seen during acute exacerbations of chronic bronchitis. Although many proteases can cleave ECM molecules, matrix metalloproteinases (MMPs) and their inhibitors are likely to be the physiologically relevant mediators of ECM degradation. Objectives ; The purpose of this study was to demonstrate that antibiotic treatment can change airway MMPs and TIMP-1 concentrations/levels by controlling airway inflammation in acute exacerbation of chronic bronchitis. Methods : We studied 40 patients, all of whom had an acute exacerbation of chronic bronchitis. The patients were treated with two different antibiotics, moxifloxacin and clarithromycin, in a double-blind manner for 7 days. Sputum samples were induced and collected before and after antibiotic therapy. We measured the sputum concentration of MMP-1,-9, TIMP-1, IL-8 and secretory leukocyte proteinase inhibitor (SLPI) in sputum supernatants by ELISA method. Results : There was no difference after antibiotic treatment in the sputum concentrations of MMP-1,-9, TIMP-1, IL-8 and SLPI between the patients treated with moxifloxacin and those treated with clarithromycin. But the sputum concentrations of TIMP-1, and SLPI, and the TIMP-1/MMP-1 ratio were significantly reduced by the antibiotic therapy. There were significant positive correlations between sputum TIMP-1 levels and IL-8 levels (p<0.01, r=0.751), and between the sputum TIMP-1/MMP-1 ratio and IL-8 levels (p<0.01, r=0.752). The sputum SLPI levels were significantly elevated by antibiotic treatment and were negatively correlated with sputum TIMP-1 levels (p<0.01, r=-0.496) and TIMP-1/MMP-1 levels (p<0.01, r=-0.456). Conclusion : The study shows that the worsening of airway inflammation in acute exacerbation of chronic bronchitis is associated with an imbalance between the concentrations/levels of TIMP-1 and MMPs. Antibiotic treatment can prevent progression of airway narrowing in acute exacerbation of chronic bronchitis by modulation of the protease and anti-protease imbalance.

A Study on Optimization of Electric Power Facilities Applied Matrix System at 25.8kV GIS (25.8kV급 GIS에 Matrix System을 적용한 전력설비 최적화 연구)

  • Lee, Yang-Mi;Nam, Jae-Woo;Kim, Chul-Hwan
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.66 no.3
    • /
    • pp.507-512
    • /
    • 2017
  • Recently, more electric power facilities have been miniaturized and it is noted that the facilities maintenance will be essential through operation optimization. In this paper we applied and examined the operation optimization of electric power facilities by applying Matrix system which can improve reliability to minimize outage and recover failure rapidly when blackouts happen at 25.8kV Gas Insulated Switchgear(GIS). The fundamental problem for facilities maintenance of GIS can happen due to indeterminable internal state in real time. Matrix optimization organizes action states in all containers which contain pressurized $SF_6$ Gas such as circuit breaker, disconnector switch, bus for utilizing them each area. Then, we connect it with power system to monitor and control internal state remotely in real time, and we can minimize blackout zone or outage. Considering above process, we improved stability of overall facilities.

Microstructure modification and electrochemical properties of steel corrosion in the blended cement systems containing internal chlorides (고농도 염화물을 함유하는 혼합시멘트 계에서 철근부식에 따른 미세구조의 변화와 전기화학적 특성)

  • 나종윤;이승헌;김창은
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 1999.10a
    • /
    • pp.131-134
    • /
    • 1999
  • Microstructure modification and electrochemical properties are investigate to estimate the effects of internal chlorides on the steel corrosion in the blended cement systems. According to the test results, slag cement system showed high chloride binding capacity and low corrosion rate. The impedance data showed three distince arcs from lowest(mHz) frequency to highest (MHz) frequency due to product layer, interfacial reaction and bulk matrix. Through the microstructural investigation, fine steel-matrix interface of slag cement system was observed but rough steel-matrix interface of OPC system was observed. Friedel's salt was thought that the substantial material contributed to the chloride binding of slag cement system.

  • PDF