• 제목/요약/키워드: Simplified Analytical Model

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수직접합부 강성을 고려한 프리캐스트 콘크리트 대형판구조물의 해석모델 (Analytical Modeling of Precast Concrete Large Panel Structures Taking Account of Stiffness of Vertical Joints)

  • 이한선;장극관;신영식
    • 전산구조공학
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    • 제7권3호
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    • pp.105-113
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    • 1994
  • 프리캐스트 콘크리트(P.C) 대형판 구조물은 일체식 현장타설 철근콘크리트 구조물에 비하여 보통 접합부에서 약한 강성을 가지고 있다. 그러나 일반적으로 실무에서 이러한 P.C대형판 구조물의 특성이 고려되지 않고 있으며 일체식 구조물에서와 동일한 해석모델을 사용하고 있는 실정이다. 따라서 이러한 모델을 사용하요 얻은 해석결과는 실제 P.C구조물에서의 발생하는 것들과 매우 상이할 수 있다. 본 연구에서는 이P.C구조물의 해석에 적합한 몇가지 유한요소모델을 시도해 봄으로써 수직접합부에 실제의 낮은 전단강성을 적용함으로 인해 발생하는 구조물에서의 힘과 응력분포 및 처짐의 변화를 관찰하여 보았다. 마지막으로 실부자들을 위해 수직접합부 전단강성의 영향을 감안한 단순화된 모델이 오차범위에 대한 이해를 전제로 하여 제안되고 있다.

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Analytical solutions for sandwich plates considering permeation effect by 3-D elasticity theory

  • Huo, Ruili;Liu, Weiqing;Wu, Peng;Zhou, Ding
    • Steel and Composite Structures
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    • 제25권2호
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    • pp.127-139
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    • 2017
  • In this paper, an exact analytical solution for simply supported sandwich plate which considers the permeation effect of adhesives is presented. The permeation layer is described as functionally graded material (FGM), the elastic modulus of which is assumed to be graded along the thickness following the exponential law. Based on the exact three-dimensional (3-D) elasticity theory, the solution of stresses and displacements for each layer is derived. By means of the recursive matrix method, the solution can be efficiently obtained for plates with many layers. The present solution obtained can be used as a benchmark to access other simplified solutions. The comparison study indicates that the finite element (FE) solution is close to the present one when the FGM layer in the FE model is divided into a series of homogeneous layers. However, the present method is more efficient than the FE method, with which the mesh division and computation are time-consuming. Moreover, the solution based on Kirchhoff-Love plate theory is greatly different from the present solution for thick plates. The influence of the thickness of the permeation layer on the stress and displacement fields of the sandwich plate is discussed in detail. It is indicated that the permeation layer can effectively relieve the discontinuity stress at the interface.

Elastic stiffness of stud connection in composite structures

  • Qin, Xi;Yang, Guotao
    • Steel and Composite Structures
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    • 제39권4호
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    • pp.419-433
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    • 2021
  • In composite structures, shear connectors are crucial components to resist the relative slip between the steel and concrete, and thereby to achieve the composite actions. In the service stage, composite structures are usually in elastic state, so the elastic stiffness of the shear connection is a quite important parameter in the structural analysis of composite structures. Nevertheless, the existing studies mainly focus on the load-slip relationship rather than the tangent stiffness at the initial elastic stage. Furthermore, when composite beams subjected to torque or local load, shear connections are affected by both tensile force and shear force. However, the stiffness of shear connections under combined effects appears not to have been discussed hitherto. This paper investigates the initial elastic stiffness of stud connections under combined effects of biaxial forces. The initial expression and the relevant parameters are obtained by establishing a simplified analytical model of the stud connection. Afterwards, parametric finite element analysis is performed to investigate the effects of the relevant factors, including the stud length, stud diameter, elastic modulus of concrete, elastic modulus of steel and volume ratio of reinforcement. The feasibility of the proposed modelling has been proved by comparing with sufficient experimental tests. Based on the analytical analysis and the extensive numerical simulations, design equations for predicting the initial elastic stiffness of stud connections are proposed. The comparison between the equations and the data of finite element models demonstrates that the equations are accurate enough to serve for engineering communities.

두개의 제어기를 사용한 건물 내부의 온도변화와 에너지소비량을 계산하기 위한 해석적 연구 (A study on the analytical method for calculating the inside air temperature transient and energy consumption load of the building using two different controllers)

  • 한규일
    • 수산해양기술연구
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    • 제48권1호
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    • pp.82-90
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    • 2012
  • Four different buildings having various wall construction are analyzed for the effect of wall mass on the thermal performance and inside building air and wall temperature transient and also for calculating the energy consumption load. This analytical study was motivated by the experimental work of Burch et al. An analytical solution of one-dimensional, linear, partial differential equations is obtained using the Laplace transform method, Bromwich and modified Bromwich contour method. A simple dynamic model using steady state analysis as simplified methods is developed and results of energy consumption loads are compared with results obtained using the analytical solution. Typical Meteorological Year data are processed to yield hourly average monthly values. This study is conducted using weather data from two different locations in Korea: Daegu having severe weather in summer and winter and Jeju having mild weather almost all year round. There is a significant wall mass effect on the thermal performance of a building in mild weather condition. Buildings of heavyweight construction with insulation show the highest comfort level in mild weather condition. A proportional controller provides the higher comfort level in comparison with buildings using on-off controller. The steady state analysis gives an accurate estimate of energy load for all types of construction. Finally, it appears that both mass and wall insulation are important factors in the thermal performance of buildings, but their relative merits should be decided in each building by a strict analysis of the building layout, weather conditions and site condition.

Modeling of unreinforced brick walls under in-plane shear & compression loading

  • Kalali, Arsalan;Kabir, Mohammad Zaman
    • Structural Engineering and Mechanics
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    • 제36권3호
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    • pp.247-278
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    • 2010
  • The study of the seismic vulnerability of masonry buildings requires structural properties of walls such as stiffness, ultimate load capacity, etc. In this article, a method is suggested for modeling the masonry walls under in-plane loading. At the outset, a set of analytical equations was established for determining the elastic properties of an equivalent homogeneous material of masonry. The results for homogenized unreinforced brick walls through detailed modeling were compared in different manners such as solid and perforated walls, in-plane and out-of-plane loading, etc, and it was found that this method provides suitable accuracy in estimation of the wall linear properties. Furthermore, comparison of the results of proposed modeling with experimental out coming indicated that this model considers the non linear properties of the wall such as failure pattern, performance curve and ultimate strength, and would be appropriate to establish a parametric study on those prone factors. The proposed model is complicated; therefore, efforts need to be made in order to overcome the convergency problems which will be included in this study. The nonlinear model is basically semi-macro but through a series of actions, it can be simplified to a macro model.

Dynamic analyses for an axially-loaded pile in a transverse-isotropic, fluid-filled, poro-visco-elastic soil underlain by rigid base

  • Zhang, Shiping;Zhang, Junhui;Zeng, Ling;Yu, Cheng;Zheng, Yun
    • Geomechanics and Engineering
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    • 제29권1호
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    • pp.53-63
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    • 2022
  • Simplified analytical solutions are developed for the dynamic analyses of an axially loaded pile foundation embedded in a transverse-isotropic, fluid-filled, poro-visco-elastic soil with rigid substratum. The pile is modeled as a viscoelastic Rayleigh-Love rod, while the surrounding soil is regarded as a transversely isotropic, liquid-saturated, viscoelastic, porous medium of which the mechanical behavior is represented by the Boer's poroelastic media model and the fractional derivative model. Upon the separation of variables, the frequency-domain responses for the impedance function of the pile top, and the vertical displacement and the axial force along the pile shaft are gained. Then by virtue of the convolution theorem and the inverse Fourier transform, the time-domain velocity response of the pile head is derived. The presented solutions are validated, compared to the existing solution, the finite element model (FEM) results, and the field test data. Parametric analyses are made to show the effect of the soil anisotropy and the excitation frequency on the pile-soil dynamic responses.

앵커플레이트가 콘크리트 파괴 강도에 미치는 영향 및 탄성기반 해석 모델에 대한 연구 (A Study on Effect of Anchor Plate on Concrete Breakout Capacity and Elasticity-Based Analysis Model of Anchor Plate)

  • 신지욱;유영찬;최기선;김호룡;김준희
    • 콘크리트학회논문집
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    • 제25권4호
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    • pp.381-388
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    • 2013
  • 이 연구는 플레이트의 추가가 중단열 외벽 시스템과 같은 얇은 콘크리트 패널에 설치되는 단일 앵커 콘크리트의 파괴 강도에 미치는 영향을 평가하였다. 탄성론 기반의 단순화된 해석모델을 이용하여 CCD(concrete capacity design)이론을 통해 나타난 콘크리트 파괴 강도에 대한 플레이트의 휨 응력을 예측하였으며, 실험을 통해 나타난 플레이트의 휨 응력과 비교하였다. 앵커의 콘크리트 파괴 강도에 대한 실험은 100 mm의 얇은 패널을 대상으로 수행되었으며, 플레이트의 크기는 플레이트의 휨 응력과 항복 응력이 가장 근사값을 갖는 $PL130{\times}9mm$를 기준으로 계획되었다. 실험 결과를 통해, 플레이트의 너비 또는 두께 증가에 의해 콘크리트 파괴 강도는 향상되는 것으로 나타났지만, 콘크리트 파괴 강도의 향상 수준은 지속적으로 감소하는 것으로 나타났다. 또한, 탄성론 기반의 단순화된 탄성해석모델을 이용하여 해석과 실험 결과를 비교했을 때, 콘크리트 파괴 강도에 대한 플레이트의 영향을 비교적 잘 부합하는 것으로 나타났다.

반복하중을 받는 볼트 연결부에 대한 역학적인 고등해석 모델의 개발 (Development of Advanced Mechanical Analysis Models for the Bolted Connectors under Cyclic Loads)

  • 허종완
    • 대한토목학회논문집
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    • 제33권1호
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    • pp.101-113
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    • 2013
  • 반복적인 하중을 받는 볼트 연결부의 비선형적인 거동을 예측할 수 있는 역학적 고등해석 모델을 개발하는 데 주된 초점을 두어 본 연구를 수행하였다. 또한 대표적인 접합부 형태인 T-stub 접합부의 연결 컴포넌트에 대한 실제의 하중 재하 실험값을 활용한 해석으로 얻어진 거동에 대한 예측의 정확성 및 모형화의 타당성을 입증하였다. 연결부를 이루고 있는 구성요소들의 거동은 볼트의 인장변형, T-stub 플랜지의 휨변형, T-stub 몸체의 신장, 전단볼트의 지압 및 미끄러짐을 포함하며 접합부내에서 개별적인 힘-변위 메커니즘으로부터 정의된 다중 선형의 강성모델에 의하여 재현된다. 이러한 구성요소들은 그들의 거동특성을 지닌 비선형 스프링으로 모형화되어 역학적 해석 모델에 설치되어 연결부 전체의 거동을 수치해석적인 방법으로 예측하도록 한다. 해석 모델에 의한 예측값은 강성, 강도 및 변형 측면에서 실험값과 비교하여 정확성을 평가하였으며 이를 근거로 본 연구에서 제안된 역학적 해석 모델이 볼트 연결부의 거동과 성능을 만족하며 예측 가능하다는 결론을 내렸다.

A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions

  • Menasria, Abderrahmane;Kaci, Abdelhakim;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdeldjebbar;Benrahou, Kouider Halim;Tounsi, Abdelouahed;Adda Bedia, E.A.;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제36권3호
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    • pp.355-367
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    • 2020
  • The current work, present dynamic analysis of the FG-sandwich plate seated on elastic foundation with various kinds of support using refined shear deformation theory. The present analytical model is simplified which the unknowns number are reduced. The zero-shear stresses at the free surfaces of the FG-sandwich plate are ensured without introducing any correction factors. The four equations of motion are determined via Hamilton's principle and solved by Galerkin's approach for FG-sandwich plate with three kinds of the support. The proposed analytical model is verified by comparing the results with those obtained by other theories existing in the literature. The parametric studies are presented to detect the various parameters influencing the fundamental frequencies of the symmetric and non-symmetric FG-sandwich plate with various boundary conditions.

An analytical model for PVC-FRP confined reinforced concrete columns under low cyclic loading

  • Fang, Yuan;Yu, Feng;Chen, Anchun;Wang, Shilong;Xu, Guoshi
    • Structural Engineering and Mechanics
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    • 제77권2호
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    • pp.179-196
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    • 2021
  • Experimental investigations on the seismic behaviors of the PVC-FRP Confined Reinforced Concrete (PFCRC) columns under low cyclic loading are carried out and two variable parameters including CFRP strips spacing and axial compression ratio are considered. The PFCRC column finally fails by bending and is characterized by the crushing of concrete and yielding of the longitudinal reinforcement, and the column with a high axial compression ratio is also accompanied by the cracking of the PVC tube and the fracture of CFRP strips. The hysteretic curves and skeleton curves of the columns are obtained from the experimental data. With the increase of axial compression ratio, the stiffness degradation rate accelerates and the ductility decreases. With the decrease of CFRP strips spacing, the unloading sections of the skeleton curves become steep and the ductility reduces significantly. On the basis of fiber model method, a numerical analysis approach for predicting the skeleton curves of the PFCRC columns is developed. Additionally, a simplified skeleton curve including the elastic stage, strengthening stage and unloading stage is suggested depending on the geometric drawing method. Moreover, the loading and unloading rules of the PFCRC columns are revealed by analyzing the features of the skeleton curves. The quantitative expressions that are used to predict the unloading stiffness of the specimens in each stage are proposed. Eventually, an analytical model for the PFCRC columns under low cyclic loading is established and it agrees well with test data.