• Title/Summary/Keyword: Differential analysis

Search Result 4,454, Processing Time 0.027 seconds

A general method of analysis of composite beams with partial interaction

  • Ranzi, G.;Bradford, M.A.;Uy, B.
    • Steel and Composite Structures
    • /
    • v.3 no.3
    • /
    • pp.169-184
    • /
    • 2003
  • This paper presents a generic modelling of composite steel-concrete beams with elastic shear connection. It builds on the well-known seminal technique of Newmark, Siess and Viest, in order to formulate the partial interaction formulation for solution under a variety of end conditions, and lends itself well for modification to enable direct quantification of effects such as shrinkage, creep, and limited shear connection slip capacity. This application is possible because the governing differential equations are set up and solved in a fashion whereby inclusion of the kinematic and static end conditions merely requires a statement of the appropriate constants of integration that are generated in the solution of the linear differential equations. The method is applied in the paper for the solution of the well-studied behaviour of simply supported beams with partial interaction, as well as to provide solutions for a beam encastr$\acute{e}$ at its ends, and for a propped cantilever.

Nonlocal integral elasticity analysis of beam bending by using finite element method

  • Taghizadeh, M.;Ovesy, H.R.;Ghannadpour, S.A.M.
    • Structural Engineering and Mechanics
    • /
    • v.54 no.4
    • /
    • pp.755-769
    • /
    • 2015
  • In this study, a 2-D finite element formulation in the frame of nonlocal integral elasticity is presented. Subsequently, the bending problem of a nanobeam under different types of loadings and boundary conditions is solved based on classical beam theory and also 3-D elasticity theory using nonlocal finite elements (NL-FEM). The obtained results are compared with the analytical and numerical results of nonlocal differential elasticity. It is concluded that the classical beam theory and the nonlocal differential elasticity can separately lead to significant errors for the problem under consideration as distinct from 3-D elasticity and nonlocal integral elasticity respectively.

Optimal Solution of integral Coefficients in Distance Relaying Algorithm for T/L Protection considering Frequency Characteristics (주파수 특성을 고려한 송전선 보호용 적분근사거리계전 알고리즘의 최적 적분 계수 결정)

  • Cho, Kyung-Rae;Hong, Jun-Hee;Jung, Byung-Tae;Cho, Jung-Hyun;Park, Jong-Keun
    • Proceedings of the KIEE Conference
    • /
    • 1994.11a
    • /
    • pp.42-44
    • /
    • 1994
  • This paper presents the method of estimating integral coefficients of new distance relaying algorithm for transmission line protection. The proposed method is based on the differential equation calculates impedance value by approximation of integral term of integro-differential equation which relate voltage with current. As a result, we can determine the integral coefficients in least square error sense in frequency domain and we take into consideration the analog filter characteristics and frequency domain characteristics of the system to be protected. The simulation results showed that these coefficients can be successfully used to obtain impedance value in distance relay.

  • PDF

EFFECT OF THE DIFFERENTIAL PRESSURE BY THE BLOW-BY GAS FLOW ON THE PCV VALVE WITH A CRACK

  • Song, S.M.;Kwon, O.H.;Lee, Y.W.
    • International Journal of Automotive Technology
    • /
    • v.8 no.2
    • /
    • pp.219-224
    • /
    • 2007
  • Recently, atmospheric contaminations has become worse due to the increased number of automobile. The PCV (Positive Crankcase Ventilation) valve acts as a flow control to allow re-combustion of blow-by gas by having it flow from a crankcase to an inlet manifold suction tube. Also, during the fabrication of the PCV valve, micro cracks may occur in the valve body and be extended under operation. The excessive stress distribution and crack initiation on the PCV valve body would bring an unstable blow-by gas flow rate control and would cause valve failure. The purpose of this study is to examine the crack affects on the stress and strain variations on the PCV valve according to the inlet and outlet manifold under differential pressures. From the results, we can explain the behavior of the crack extension for a safe condition of PCV valve.

Effects of Slenderness Ratio on Dynamic Behavior of Cracked Beams Subjected to Subtangential Follower Force (경사종동력과 크랙을 가진 보의 진동특성에 미치는 세장비의 영향)

  • Son, In-Soo;Yoon, Han-Ik
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.26 no.9
    • /
    • pp.112-120
    • /
    • 2009
  • In this paper the purpose is to investigate the stability and variation of natural frequency of a cracked Timoshenko cantilever beams subjected to subtangential follower force. In addition, an analysis of the stability of a cantilever beam as the crack effect and slenderness ratio is investigated. The governing differential equations of a Timoshenko beam subjected to an end tangential follower force are derived via Hamilton's principle. The two coupled governing differential equations are reduced to one fourth order ordinary differential equation in terms of the flexural displacement. By using the results of this paper, we can obtain the judgment base that the choice of beam models for the effect of slenderness ratio and crack.

Design and Performance Verification of Compound CVTs with 2K-H I type Differential Gear

  • Kim Yeon-Su;Park Jae-Min;Choi Sang-Hoon
    • Journal of Mechanical Science and Technology
    • /
    • v.20 no.6
    • /
    • pp.770-781
    • /
    • 2006
  • This paper defined design constraints for the compound CVTs (continuously variable trans-missions) by combining power-circulation-mode CVTs and power-split-mode CVTs, which were proposed for connecting 2K-H I-type differential gear to V-belt-type CVU (Continuously Variable Unit). The design constraints are the necessary and sufficient conditions to avoid geometrical interferences among elements in the compound CVTs, and to guarantee smooth assembly between the power-circulation-mode CVT and power-split-mode CVT Two com-pound CVTs were designed and manufactured in accordance with the design constraints. With these compound CVTs, theoretical analysis and performance experiments were conducted. The results showed that the design constraints were valid and effective design method, and that the designed compound CVTs had the improved performance.

Free Vibration Analysis of Axisymmetrical Circular Plate by Using Differential Transformation Method (미분변환법을 이용한 축대칭 원판의 자유 진동 해석)

  • Shin, Young-Jae;Yun, Jong-Hak;Jy, Young-Chel;Kim, Jun-Nyen;Ferdinand, T.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2005.11a
    • /
    • pp.604-607
    • /
    • 2005
  • The free vibration of solid circular plates has been studied using the differential transformation method(DTM). The effects such as mass at edge and elastic restraints have been considered. In order to avoid the singularity problem at the solid circular center two regularity conditions were applied with respect to the number of circumferential nodal line. The non-dimensional natural frequencies of the general circular plates were obtained for various boundary conditions. The results obtained by this method were compared with previous works. DTM showed fast convergency, accuracy, efficiency and validity in solving vibration problem of general circular plates.

  • PDF

The Integration of GIS with LANDSAT TM Data for Ground Water Potential Area Mapping (I) - Extraction of the Ground Water Potential Area using LANDSAT TM Data - (지하수 부존 가능지역 추출을 위한 LANDSAT TM 자료와 GIS의 통합(I) - LANDSAT TM 자료에 의한 지하수 부존 가능지역 추출 -)

  • 지종훈
    • Korean Journal of Remote Sensing
    • /
    • v.7 no.1
    • /
    • pp.29-43
    • /
    • 1991
  • The study was performed to extraction the ground water potential area using LANDSAT TM data. The image processing techniques developed for the study are contrast transformation, differential filtering and pseudo stereoscopic image methods. These were examined for lineament extraction, lineament interpretation and the integration of vertor data with LANDSAT data. The differential filtering method is much usefull for lineament extraction, and all direction lineaments are clearly shown on the band 5 image of LANDSAT TM. The pseudo stereoscopic image are made in which color differential method is adopted, the pair images are usefull for the lineament interpretation. The results of the analysis are as follows. 1) there is a close correlation between lineament and cased well in the study area, because 33 wells of the developed 45 cased wells coincide with the lineaments. 2) 21 sites in the study area were selected for pumping test, and as a result 11 sites of them produces over than 200 ton/day.

UNIFORMLY CONVERGENT NUMERICAL SCHEME FOR SINGULARLY PERTURBED PARABOLIC DELAY DIFFERENTIAL EQUATIONS

  • WOLDAREGAY, MESFIN MEKURIA;DURESSA, GEMECHIS FILE
    • Journal of applied mathematics & informatics
    • /
    • v.39 no.5_6
    • /
    • pp.623-641
    • /
    • 2021
  • In this paper, numerical treatment of singularly perturbed parabolic delay differential equations is considered. The considered problem have small delay on the spatial variable of the reaction term. To treat the delay term, Taylor series approximation is applied. The resulting singularly perturbed parabolic PDEs is solved using Crank Nicolson method in temporal direction with non-standard finite difference method in spatial direction. A detail stability and convergence analysis of the scheme is given. We proved the uniform convergence of the scheme with order of convergence O(N-1 + (∆t)2), where N is the number of mesh points in spatial discretization and ∆t is mesh length in temporal discretization. Two test examples are used to validate the theoretical results of the scheme.

A Study on Classification and Differential Grade Management for Medical Devices (의료기기 품목 재분류 및 차등 관리방안 연구)

  • Lim, Kyeongmin;Song, Tongjin
    • Journal of Biomedical Engineering Research
    • /
    • v.39 no.6
    • /
    • pp.268-277
    • /
    • 2018
  • With drastic change in the market and technology of medical devices, a comparative analysis is necessary in advanced systems internationally in order to prepare domestically applicable plans for improvement in classification and differential grade management for items of medical devices. This research examines and analyzes the differences of definition and legal systems of medical devices among Korea, United States, EU, Japan and China, and investigates classification and grading system of each country to identify disadvantages of classification and grading structures for medical device in Korea. This research suggests ways to supplement the disadvantages of domestic classification and grading system of medical devices, and elicits differential management plans for medical devices.