• Title/Summary/Keyword: finite dimensional continuous

Search Result 116, Processing Time 0.024 seconds

A Numerical Study on Inelastic lateral Torsional Buckling Strength of Doubly Stepped and Singly Symmetric I-Beam Subjected to Uniform Moment (균일모멘트가 작용하는 일축대칭 I형 양단 스텝보의 비탄성 횡-비틀림 좌굴에 관한 해석적 연구)

  • Park, Yi Seul;Park, Jong Sup
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.14 no.7
    • /
    • pp.3495-3501
    • /
    • 2013
  • The cross-sections of continuous multi-span beams are sometimes suddenly increased or stepped at the interior supports of continuous beams to resist high negative moments. This paper investigates inelastic lateral-torsional buckling of monosymmetric stepped I-beams subjected to pure bending. A three-dimensional finite-element program ABAQUS and a regression program were used to analytically develop new design equation. The flange thickness ratio, flange width ratio and stepped length ratio were considered as parameters of this study. The combined effects of residual stresses and geometric imperfection on inelastic lateral-torsional buckling of beams are considered. The proposed solution can be easily used to calculation for inelastic lateral torsional buckling strengths of monosymmetric beams with doubly stepped cross sections and to develop new design equations for inelastic lateral-torsional buckling resistances of stepped beams.

Effects of Fiber Arrangements on Stress Distributions over the Transverse Cross Section of Unidirectionally Continuous Fiber-reinforced Composites (단방향 연속 섬유 복합재 횡단면에서 섬유 배열에 따른 응력 분포 변화)

  • Choi, Soohoon;Ji, Wooseok
    • Composites Research
    • /
    • v.33 no.1
    • /
    • pp.30-37
    • /
    • 2020
  • Stress distributions dependent on fiber arrangements are studied using the two-dimensional representative volume element (RVE) model for uni-directionally continuous fiber-reinforced composites subjected to transverse tensile loading. It is easily expected that the stresses around the fibers are concentrated mainly due to the stiffness mismatch between the fiber and matrix materials. In this presentation, it is shown that the stresses are not always increased although the distance between two fibers is shortened. The 2D RVE models, originally having a regular hexagonal fiber array, is utilized to study the effect of the fiber locations on the stress distributions. As the central fiber is relocated, the stress distributions around the fiber are obtained through finite element analysis. It is found that the stresses around the fiber are strongly dependent on the fiber distance as well as the angle between the loading direction and the line connecting two fibers.

Shape Design of Micro Electrostatic Actuator using Multidimensional Design Windows (다차원 설계윈도우 탐색법을 이용한 마이크로 액추에이터 형상설계)

  • Jeong, Min-Jung;Kim, Yeong-Jin;Daisuke Ishihara;Yoshimura, Shinobu;Yagawa, Genki
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.25 no.11
    • /
    • pp.1796-1801
    • /
    • 2001
  • For micro-machines, very few design methodologies based on optimization hale been developed so far. To overcome the difficulties of design optimization of micro-machines, the search method for multi-dimensional design window (DW)s is proposed. The proposed method is defined as areas of satisfactory design solutions in a design parameter space, using both continuous evolutionary algorithms (CEA) and the modified K-means clustering algorithm . To demonstrate practical performance of the proposed method, it was applied to an optimal shape design of micro electrostatic actuator of optical memory. The shape design problem has 5 design parameters and 5 objective functions, and finally shows 4 specific design shapes and design characters based on the proposed DWs.

The Bias Error due to Windows for the Wigner-Ville Distribution Estimation (위그너-빌 분포함수의 계산시 창문함수의 적용에 의한 바이어스 오차)

  • 박연규;김양한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1995.10a
    • /
    • pp.80-85
    • /
    • 1995
  • Too see the effects of finite record on the estimation of WVD in practice, a window which has time varying length is examined. Its length increases linearly with time in the first half of the record, and decreases from the center of the record. The bias error due to this window decreases inversely proportionally to the window length as time increases in the first half. In the second half, the bias error increases and the resolution decreases as time increases. The bias error due to the smoothing of WVD, which is obtained by two-dimensional convolution of the true WVD and the smoothing window, which has fixed lengths along time and frequency axes, is derived for arbitrary smoothing window function. In the case of using a Gaussian window as a smoothing window, the bias error is found to be expressed as an infinite summation of differential operators. It is demonstrated that the derived formula is well applicable to the continuous WVD, but when WVD has some discontinuities, it shows the trend of the error. This is a consequence of the assumption of the derivation, that is the continuity of WVD. For windows other than Gaussian window, the derived equation is shown to be well applicable for the prediction of the bias error.

  • PDF

An Improved Analysis Model for the Ultimate Behavior of Unbonded Prestressed Concrete

  • Cho, Taejun;Kim, Myeong-Han
    • Journal of Korean Association for Spatial Structures
    • /
    • v.17 no.4
    • /
    • pp.149-157
    • /
    • 2017
  • An innovative analysis method is proposed in this paper for the determination of ultimate resistance of prestressed concrete beams. The proposed method can be applied to simply supported or continuous beams in a unified manner whether structure and external loads are symmetric or not. Through the iterative nonlinear strain compatibility solutions, this method can also be applied to the non-prismatic section/un-symmetrical composite structures under moving load. The conventional studies have used the failure criteria when the strain of concrete reaches 0.003. However compared with bonded case, the value of strain in the reinforcement is much smaller than bonded case, thus, unbonded prestressed cases show compressive failure mode. It is shown that the proposed method gives acceptable results within 5% error compared with the prior experimental results. It can be shown that the proposed method can reach the solution much faster than typical three-dimensional finite element analysis for the same problem. This method is applicable to the existing unbonded prestressed members where deterioration has occurred leading to the reduced ultimate resistance or safety. In all, the proposed procedure can be applied to the design and analysis of newly constructed structures, as well as the risk assessment of rehabilitated structures.

Analytical approaches to the charging process of stratified thermal storage tanks with variable inlet temperature (변온유입 성층축열조의 충전과정에 대한 해석적 접근)

  • Yoo, Hoseon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.9 no.1
    • /
    • pp.43-54
    • /
    • 1997
  • This paper presents an approximate analytical solution to a two-region one-dimensional model for the charging process of stratified thermal storage tanks with variable inlet temperature in the presence of momentum-induced mixing. Based on the superposition principle, an arbitrary-varying inlet temperature is decomposed into inherent discontinuous steps and continuous intervals approximated as a finite number of piecewise linear functions. This approximation allows the temperature of the upper perfectly-mixed layer to be expressed in terms of constant, linear and exponential functions with respect to time. Applying the Laplace transform technique to the model equation for the lower thermocline layer subject to each of three representative interfacial conditions yields compact-form solutions, a linear combination of which constitutes the final temperature profile. A systematic method for deriving solutions to the plug-flow problem having polynomial-type boundary conditions is also established. The effect of adiabatic exit boundary on solution behaviors proves to be negligible under the actual working conditions, which justifies the assumption of semi-infinite domain introduced in the solution procedure. Finally, the approximate solution is validated by comparing it with an exact solution obtained for a specific variation of inlet temperature. Excellent agreements between them suffice to show the necessity and utility of this work.

  • PDF

Evaluation of Proper Level of the Longitudinal Prestress for the Precast Deck System of Railway Bridges (철도교용 프리캐스트 바닥판의 적정한 종방향 프리스트레스 수준의 산정)

  • Jang Sung-Wook;Youn Seok-Goo;Jeon Se-Jin;Kim Young-Jin;Hyung Tai-Kyung
    • Proceedings of the KSR Conference
    • /
    • 2005.11a
    • /
    • pp.223-228
    • /
    • 2005
  • Precast concrete deck has many advantages comparing with the in-situ concrete deck, and has been successfully applied to replacement of the deteriorated decks and to the newly constructed highway bridges in domestic region. In order to apply the precast decks into the railway bridges, however, differences of the load characteristics between the highway and the railway should be properly taken into account including the train load, longitudinal force of the continuous welded rail. acceleration or braking force, temperature change and shrinkage. Proper level of the longitudinal prestress of the tendons that can ensure integrity of the transverse joints in the deck system is of a primary importance. To this aim, the longitudinal tensile stresses induced by the design loads are derived using three-dimensional finite element analyses, design codes and theoretical equations for the frequently adopted PSC composite girder railway bridge. The estimated proper prestress level to counteract those tensile stresses is over 2.4 MPa, which is similar to the case of the highway bridges.

  • PDF

Thermal Load Calculations on Stud-Frame Walls by Response Coefficient Method (응답계수(應答係數)를 이용(利用)한 건물벽에서의 열부하(熱負荷) 계산(計算))

  • Hwang, Y.K.;Pak, E.T.
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
    • /
    • v.17 no.4
    • /
    • pp.357-368
    • /
    • 1988
  • An application of thermal response coefficient method for obtaining thermal load on stud-frame walls in a typical house is presented. A set of stud-frame walls is two-dimensional heat conduction transients with composite structure. The ambient temperature on the right-hand face of the stud-frame walls is a typical day-cycle input and the room temperature on the left-hand face is a constant input. The desired output is thermal load at the left-hand face. The time-dependent ambient temperature is approximated by a continuous, piecewise-linear function each having one hour interval. The conduction problem is spatially discretized as 8 computer modelings by finite elements to obtain thermal response coefficients. The discretization and round-off errors can be neglected in the range of adequate number of nodes. A 60-node discretization is recommended as the optimum model among 8 computer modelings. Several sets of response coefficients of the stud-frame walls are generated by which the rate of heat transfer through the walls or some temperature in the walls can be calculated for different input histories.

  • PDF

Optimum Shape Design Techniques on Direct Roller of Molten Metal Considering Thickness Control of Width Direction (폭방향 두께제어를 고려한 용탕직접 압연로울의 최적형상 설계기법)

  • Kang, C.G.;Kim, Y.D.;Jung, Y.J.
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.14 no.12
    • /
    • pp.73-85
    • /
    • 1997
  • The rolling force and roll deformation behavior in the twin roll type strip continuous casting process has been computed to estimate the thermal charcteristics of a caster roll. To calculation of rolling force, the relationship between flow stress and strain for a roll material and casting alloy are assumed as a function of strain-rate and temperature because mechanical properties of a casting materials depends on tempera- ture. The three dimensional thermal dlastic-plastic analysis of a cooling roll has also been carried out to obtain a roll stress and plastic strain distributions with the commercial finite element analysis package of ANSYS. Temperature fields data of caster roll which are provided by authors were used to estimated of roll deformation. Roll life considering thermal cycle is calculated by using thermal elastic-plastic analysis results. Roll life is proposed as a terms of a roll revolution in the caster roll with and without fine failure model on the roll surface. To obtain of plastic strain distributions of caster roll, thermomechan- ical properties of roll sleeve with a copper alloy is obtained by uniaxial tensile test for variation of temperature.

  • PDF

Application of Cardiac Electromechanical FE Model for Predicting Pumping Efficacy of LVAD According to Heart Failure Severity (심부전 정도에 따른 좌심실보조장치의 박동효율예측을 위한 심장의 전기역학적 유한요소 모델의 응용)

  • Jung, Dae Hyun;Lim, Ki Moo
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.38 no.8
    • /
    • pp.715-720
    • /
    • 2014
  • In order to maximize the effect of left ventricular assist device (LVAD) on ventricular unloading, the therapy should be begun at appropriate level of heart failure severity. We predicted pumping efficacy of LVAD according to the severity of heart failure theoretically. We used 3 dimensional finite element model of ventricle coupled with 6 Wind-kessel compartmental model of vascular system. Using the computational model, we predicted cardiac responses such as contractile ATP consumption of ventricle, left ventricular pressure, cardiac output, ejection fraction, and stroke work according to the severity of ventricular systolic dysfunction under the treatments of continuous LVAD. Contractile ATP consumption, which indicates the ventricular energetic loading condition decreased maximally at the $5^{th}$ level heart-failure under LVAD therapy. We conclude that optimal timing for LVAD treatment is $5^{th}$ level heart-failure when considering LVAD treatment as "bridge to recovery".