• Title/Summary/Keyword: linear differential systems

Search Result 258, Processing Time 0.025 seconds

Determination of structural performance of 3D steel pipe rack suspended scaffolding systems

  • Arslan, Guray;Sevim, Baris;Bekiroglu, Serkan
    • Structural Engineering and Mechanics
    • /
    • 제64권5호
    • /
    • pp.671-681
    • /
    • 2017
  • This study investigates the structural performance of 3D steel pipe rack suspended scaffolding systems. For the purpose, a standard full scale 3D steel pipe rack suspended scaffolding system considering two frames, two plane trusses, purlins and wooden floor is constructed in the laboratory. A developed load transmission system was placed in these experimental systems to distribute single loads to the center of a specific area in a step-by-step manner using a load jack. After each load increment, the displacements are measured by means of linear variable differential transducers placed in several critical points of the system. The tests are repeated for five different system conditions to determine the structural performance. The means of system conditions is the numbers of the tie bars which are used to connect plane trusses under level. Finite elements models of the 3D steel pipe rack suspended scaffolding systems considering different systems conditions are constituted using SAP2000 software to support the experimental tests and to use the models in future studies. Each of models including load transmission platform is analyzed under a single loading and the displacements are obtained. In addition, to calibrate the numerical models some uncertain parameters such as elasticity modulus of wooden floor and connection rigidity of purlins to plane trusses are assessed experimentally. The results of this work demonstrate that when increasing numbers of tie bars the displacement values are decreased. Also the results obtained from developed numerical models have harmony with those of experimental. In addition, the scaffolding system with two tie bars at the beginning and at the end of the plane truss has the optimum structural performance compared the results obtained for other scaffolding system conditions.

가변구조 적응제어이론에 의한 원자로부하추종 출력제어에 관한 연구 (A Study on the Variable Structure Adaptive Control Systems for a Nuclear Reactor)

  • Sung Ha Kwon;Hee Young Chun;Hyun Kook Shin
    • Nuclear Engineering and Technology
    • /
    • 제17권4호
    • /
    • pp.247-255
    • /
    • 1985
  • 본 논문은 가변구조모델추종제어(VSMFC)계 설계의 새로운 방법을 고찰한 것이다. 설계 개념은 가변구조계(VSS)와 슬라이드모드 이론을 사용하여 비선형 시변다변수계가 파라미터 변동이 있을지라도 모델추종을 정확히 하게끔 제어측이 가변구조를 갖게 하는 것이다. 본 논문의 방법을 실제 물리계에 적용할 때 컴퓨터 계산시간의 감소와 파라미터변동에 무관한 동적응답을 기대할 수 있다. 이론의 유효성을 밝히기 위해 VSMPC를 1000MWe의 불등경수형 원자로(BWE)에 적용하였다. 즉 원자로의 출력요구가 정격출력의 85∼90% 범위에서 변할 때 부하추종출력제어가 원활히 이루어지는가를 컴퓨터 시뮬레이션하였다. 12개의 비선형미분방정식으로 동특성이 주어지는 원자로에서 6차계 선형모델을 85% 정격치에서 구하고 여러범위에 걸쳐서 부하변동이 있을 때 파라미터변동을 극복하면서도 출력제어를 원활히 하는가를 연구하였다.

  • PDF

운전자 인적요인을 고려한 PVMS 메시지 판독특성 분석 (Analysis for Characteristics of Driver's Legibility Performance Using Portable Variable Message Sign (PVMS))

  • 송태진;오철;김태형;연지윤
    • 한국ITS학회 논문지
    • /
    • 제7권4호
    • /
    • pp.25-35
    • /
    • 2008
  • 가변전광표지(VMS: Variable Message Sign)는 도로이용자에게 도로, 기상 및 교통상황, 교통규제 상황에 관한 필요한 정보를 실시간으로 제공함으로써 원활한 교통흐름 및 안전운행을 유도 할 수 있는 지능형교통정보시스템 시설이다. 그 중 이동식가변전광표지(PVMS: Portable Variable Message Signs)는 특정 지점 및 구간에서 발생하는 다양한 이벤트(예: 돌발상황, 도로공사)들에 대해 정보제공 및 능동적 교통제어를 가능하도록 지원하는 장비이다. PVMS에서 표출되는 교통정보는 운전자가 보다 쉽게 이해하고, 눈에 잘 띄고, 적정거리 내에 판독하기 쉬워야 하는 조건을 만족시켜야 한다. 따라서, 운전자의 인적요인(Human Factor) 특성을 고려한 PVMS의 설치 및 메시지 운영은 쾌적성 및 안전성 향상을 위한 필수조건이라 할 수 있다. 본 연구에서는 운전경력, 성별, 연령 등의 인적요인이 PVMS를 통해 제공되는 정보처리에 미치는 영향을 메시지 판독거리를 중심으로 분석하였다. 본 연구 결과는 향후 국내 운전자 반응특성을 고려 한 VMS 설치 및 운영을 위 한 기초 연구자료로서 활용 될 것으로 기대된다.

  • PDF

제동 액츄에이터 손상을 고려한 2차 충돌 예방에 관한 연구 (A Study on Prevention of Secondary Collision considering Failure of Brake Actuator)

  • 양희철;김두용;강태완;소민우;권재준;박기홍
    • 한국자동차공학회논문집
    • /
    • 제23권5호
    • /
    • pp.553-563
    • /
    • 2015
  • Reportedly the fatality rate from secondary collision is six times higher than the average fatality rate from all traffic accidents. So prevention of the secondary collision is attracting significant attention from automotive industries. However, the secondary collision prevention systems that have been developed are not considering possibility of brake actuator failure that can occur by the impact during the initial collision. In this paper, a new system has been developed that could prevent secondary collision even in case of brake actuator failure by taking advantage of still operating actuators. In this system, a steering control is performed for maintaining a lane by using linear quadratic regulator. Additionally, the system attempts differential brake control with the remaining braking capability to stop the vehicle in the shortest distance. Through simulation in various collision scenarios, the system has demonstrated significant potential of preventing secondary collision that could otherwise have resulted in severe fatality.

Free vibration analysis of combined system with variable cross section in tall buildings

  • Jahanshahia, Mohammad Reza;Rahgozar, Reza
    • Structural Engineering and Mechanics
    • /
    • 제42권5호
    • /
    • pp.715-728
    • /
    • 2012
  • This paper deals with determining the fundamental frequency of tall buildings that consist of framed tube, shear core, belt truss and outrigger systems in which the framed tube and shear core vary in size along the height of the structure. The effect of belt truss and outrigger system is modeled as a concentrated rotational linear spring at the belt truss and outrigger system location. Many cantilevered tall structures can be treated as cantilevered beams with variable cross-section in free vibration analysis. In this paper, the continuous approach, in which a tall building is replaced by an idealized cantilever continuum representing the structural characteristics, is employed and by using energy method and Hamilton's variational principle, the governing equation for free vibration of tall building with variable distributed mass and stiffness is obtained. The general solution of governing equation is obtained by making appropriate selection for mass and stiffness distribution functions. By applying the separation of variables method for time and space, the governing partial differential equation of motion is reduced to an ordinary differential equation with variable coefficients with the assumption that the transverse displacement is harmonic. A power-series solution representing the mode shape function of tall building is used. Applying boundary conditions yields the boundary value problem; the frequency equation is established and solved through a numerical process to determine the natural frequencies. Computer program has been developed in Matlab (R2009b, Version 7.9.0.529, Mathworks Inc., California, USA). A numerical example has been solved to demonstrate the reliability of this method. The results of the proposed mathematical model give a good understanding of the structure's dynamic characteristics; it is easy to use, yet reasonably accurate and suitable for quick evaluations during the preliminary design stages.

AN ASSESSMENT OF PARALLEL PRECONDITIONERS FOR THE INTERIOR SPARSE GENERALIZED EIGENVALUE PROBLEMS BY CG-TYPE METHODS ON AN IBM REGATTA MACHINE

  • Ma, Sang-Back;Jang, Ho-Jong
    • Journal of applied mathematics & informatics
    • /
    • 제25권1_2호
    • /
    • pp.435-443
    • /
    • 2007
  • Computing the interior spectrum of large sparse generalized eigenvalue problems $Ax\;=\;{\lambda}Bx$, where A and b are large sparse and SPD(Symmetric Positive Definite), is often required in areas such as structural mechanics and quantum chemistry, to name a few. Recently, CG-type methods have been found useful and hence, very amenable to parallel computation for very large problems. Also, as in the case of linear systems proper choice of preconditioning is known to accelerate the rate of convergence. After the smallest eigenpair is found we use the orthogonal deflation technique to find the next m-1 eigenvalues, which is also suitable for parallelization. This offers advantages over Jacobi-Davidson methods with partial shifts, which requires re-computation of preconditioner matrx with new shifts. We consider as preconditioners Incomplete LU(ILU)(0) in two variants, ever-relaxation(SOR), and Point-symmetric SOR(SSOR). We set m to be 5. We conducted our experiments on matrices from discretizations of partial differential equations by finite difference method. The generated matrices has dimensions up to 4 million and total number of processors are 32. MPI(Message Passing Interface) library was used for interprocessor communications. Our results show that in general the Multi-Color ILU(0) gives the best performance.

Monte Carlo analysis of earthquake resistant R-C 3D shear wall-frame structures

  • Taskin, Beyza;Hasgur, Zeki
    • Structural Engineering and Mechanics
    • /
    • 제22권3호
    • /
    • pp.371-399
    • /
    • 2006
  • The theoretical background and capabilities of the developed program, SAR-CWF, for stochastic analysis of 3D reinforced-concrete shear wall-frame structures subject to seismic excitations is presented. Incremental stiffness and strength properties of system members are modeled by extended Roufaiel-Meyer hysteretic relation for bending while shear deformations for walls by Origin-Oriented hysteretic model. For the critical height of shear-walls, division to sub-elements is performed. Different yield capacities with respect to positive and negative bending, finite extensions of plastic hinges and P-${\delta}$ effects are considered while strength deterioration is controlled by accumulated hysteretic energy. Simulated strong motions are obtained from a Gaussian white-noise filtered through Kanai-Tajimi filter. Dynamic equations of motion for the system are formed according to constitutive and compatibility relations and then inserted into equivalent It$\hat{o}$-Stratonovich stochastic differential equations. A system reduction scheme based on the series expansion of eigen-modes of the undamaged structure is implemented. Time histories of seismic response statistics are obtained by utilizing the computer programs developed for different types of structures.

Development of Linearly Interpolated PRC Regenerating Algorithm to Improve Navigation Solution using Multi-DGPS Reference Stations

  • Oh, Kyung-Ryoon;Kim, Jong-Chul;Nam, Gi-Wook
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2004년도 ICCAS
    • /
    • pp.1618-1622
    • /
    • 2004
  • In this paper, the linearly interpolated PRC(Pseudo Range Correction) regenerating algorithm was applied to improve the DGPS(Differential Global Positioning System) positioning accuracy at user's spot by using the various PRC information obtained from multi-DGPS reference stations. The PRC information of each GPS satellite is not varying rapidly; it is possible to assume that the variation of PRC information of each GPS satellite is linear. So the linearly interpolated PRC regenerating algorithm can be applied to improve the DGPS positioning accuracy at user's spot by using the various PRC information obtained from multi-DGPS reference stations. To test the performance of the linearly interpolated PRC regenerating algorithm, maritime DGPS reference stations' PRC data was used in RTCM format. 11 maritime DGPS reference stations are in service providing DGPS information to public since 1999. Two set of 3 DGPS reference stations are selected to compare the performance of the linearly interpolated PRC regenerating algorithm. The DGPS positioning accuracy was dramatically improved about 40%. Linearly interpolated PRC regenerating algorithm adopted multi-channel DGPS receiver will be developed in near future.

  • PDF

Mechanical behaviors of piezoelectric nonlocal nanobeam with cutouts

  • Eltaher, Mohamed A.;Omar, Fatema-Alzahraa;Abdraboh, Azza M.;Abdalla, Waleed S.;Alshorbagy, Amal E.
    • Smart Structures and Systems
    • /
    • 제25권2호
    • /
    • pp.219-228
    • /
    • 2020
  • This work presents a modified continuum model to explore and investigate static and vibration behaviors of perforated piezoelectric NEMS structure. The perforated nanostructure is modeled as a thin perforated nanobeam element with Euler-Bernoulli kinematic assumptions. A size scale effect is considered by included a nonlocal constitutive equation of Eringen in differential form. Modifications of geometrical parameters of perforated nanobeams are presented in simplified forms. To satisfy the Maxwell's equation, the distribution of electric potential for the piezoelectric nanobeam model is assumed to be varied as a combination of a cosine and linear functions. Hamilton's principle is exploited to develop mathematical governing equations. Modified numerical finite model is adopted to solve the equation of motion and equilibrium equation. The proposed model is validated with previous respectable work. Numerical investigations are presented to illustrate effects of the number of perforated holes, perforation size, nonlocal parameter, boundary conditions, and external electric voltage on the electro-mechanical behaviors of piezoelectric nanobeams.

Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium

  • Akbas, Seref D.
    • Smart Structures and Systems
    • /
    • 제18권6호
    • /
    • pp.1125-1143
    • /
    • 2016
  • Forced vibration analysis of a simple supported viscoelastic nanobeam is studied based on modified couple stress theory (MCST). The nanobeam is excited by a transverse triangular force impulse modulated by a harmonic motion. The elastic medium is considered as Winkler-Pasternak elastic foundation.The damping effect is considered by using the Kelvin-Voigt viscoelastic model. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero. The considered problem is investigated within the Timoshenko beam theory by using finite element method. The effects of the transverse shear deformation and rotary inertia are included according to the Timoshenko beam theory. The obtained system of differential equations is reduced to a linear algebraic equation system and solved in the time domain by using Newmark average acceleration method. Numerical results are presented to investigate the influences the material length scale parameter, the parameter of the elastic medium and aspect ratio on the dynamic response of the nanobeam. Also, the difference between the classical beam theory (CBT) and modified couple stress theory is investigated for forced vibration responses of nanobeams.