• Title/Summary/Keyword: Finite element reliability analysis

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Effect of Constitutive Material Models on Seismic Response of Two-Story Reinforced Concrete Frame

  • Alam, Md. Iftekharul;Kim, Doo-Kie
    • International Journal of Concrete Structures and Materials
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    • v.6 no.2
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    • pp.101-110
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    • 2012
  • This paper focuses on the finite element (FE) response sensitivity and reliability analyses considering smooth constitutive material models. A reinforced concrete frame is modeled for FE sensitivity analysis followed by direct differentiation method under both static and dynamic load cases. Later, the reliability analysis is performed to predict the seismic behavior of the frame. Displacement sensitivity discontinuities are observed along the pseudo-time axis using non-smooth concrete and reinforcing steel model under quasi-static loading. However, the smooth materials show continuity in response sensitivity at elastic to plastic transition points. The normalized sensitivity results are also used to measure the relative importance of the material parameters on the structural responses. In FE reliability analysis, the influence of smoothness behavior of reinforcing steel is carefully noticed. More efficient and reasonable reliability estimation can be achieved by using smooth material model compare with bilinear material constitutive model.

Reliability analysis of the nonlinear behaviour of stainless steel cover-plate joints

  • Averseng, Julien;Bouchair, Abdelhamid;Chateauneuf, Alaa
    • Steel and Composite Structures
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    • v.25 no.1
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    • pp.45-55
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    • 2017
  • Stainless steel exhibits high ductility and strain hardening capacity in comparison with carbon steel widely used in constructions. To analyze the particular behaviour of stainless steel cover-plate joints, an experimental study was conducted. It showed large ductility and complex failure modes of the joints. A non-linear finite element model was developed to predict the main parameters influencing the behaviour of these joints. The results of this deterministic model allow us to built a meta-model by using the quadratic response surface method, in order to allow for efficient reliability analysis. This analysis is then applied to the assessment of design formulae in the currently used codes of practice. The reliability analysis has shown that the stainless steel joint design according to Eurocodes leads to much lower failure probabilities than the Eurocodes target reliability for carbon steel, which incites revising the resisting model evaluation and consequently reducing stainless steel joint costs. This approach can be used as a basis to evaluate a wide range of steel joints involving complex failure modes, particularly bearing failure.

Sensitivity-based reliability analysis of earth slopes using finite element method

  • Ji, Jian;Liao, Hong-Jian
    • Geomechanics and Engineering
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    • v.6 no.6
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    • pp.545-560
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    • 2014
  • For slope stability analysis, an alternative to the classical limit equilibrium method (LEM) of slices is the shear strength reduction method (SRM), which can be integrated into finite element analysis or finite difference analysis. Recently, probabilistic analysis of earth slopes has been very attractive because it is capable to take the soil uncertainty into account. However, the SRM is less commonly extended to probabilistic framework compared to a variety of probabilistic LEM analysis of earth slopes. To overcome some limitations that hinder the development of probabilistic SRM stability analysis, a new procedure based on recursive algorithm FORM with sensitivity analysis in the space of original variables is proposed. It can be used to deal with correlated non-normal variables subjected to implicit limit state surface. Using the proposed approach, a probabilistic finite element analysis of the stability of an existing earth dam is carried out in this paper.

Review of the Application of the First-Order Reliability Methods to Safety Assessment of Structures (1차 신뢰성 해석법의 구조적 안전성평가에의 적용에 관한 재고)

  • Joo-Sung Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.195-206
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    • 1991
  • This paper is concerned with comparison of the first-order reliability methods applied to the assessment of structural safety. For convenience the reliability methods are divided into two categories : the One can explicitly consider the effects of uncertainties in material and geometric variables on those of load effects, say stresses and displacement in the structural analysis procedure and the other one does not. The first method is commonly termed as the stochastic finite element method(SFEM) or probabilistic finite element method(PFEM) and the second method is termed heroin as the ordinary reliability method to distinct it from the stochastic finite element method in which the structural analysis is carried out just once and the load effects are directly input into the reliability analysis procedure. This is based on the reasonable assumption that the level of uncertainties of load effects is the same as those of load itself. In this paper the above two different reliability method have been applied to the safety assessment of plane frame structures and compared thier results from the view point of their efficiency and usefulness. As lear as results of the present structure models are concerned, it can be said that the ordinary reliability method can give reasonable results when the uncertainties of material and geometric variables are comparatively small, say when less than about 15% and the stochastic finite element method is desired to be applied to the structure in which the COV's are comparatively great, say when greater than about 15%.

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The Reliability Analysis of the Cable Stayed Bridge Considered to Correlation of the Random Variable (확률변수의 상관성을 고려한 사장교의 신뢰성해석)

  • 한성호;권의성;정인수;신재철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.210-217
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    • 2004
  • Developed is the new program that the reliability analysis can be performed more effectively considering the correlation of structural members about the cable stayed bridge. This program is formulated the stochastic finite element method suitable for the reliability analysis and the new safety evaluation method is proposed which is different from the existing one by the deterministic method or MCS response analysis. After conducting the initial equilibrium analysis of cable stayed bridges, the stochastic finite element is formulated through the perturbation method and the reliability analysis considering the correlation of stochastic variables is conducted. The results in various types of cable stayed bridge show that the probability of failure considering the correlation is larger than the non-correlation. The fan system is more stable than other systems at the structural response and the probability failure.

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The Stochastic Finite Element Analysis and Reliability Analysis of the Cable Stayed Bridge Subjected to Earthquake Load (지진하중을 받는 사장교의 확률유한요소해석 및 신뢰성해석)

  • Shin, Jae-Chul;Han, Sung-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.1
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    • pp.29-42
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    • 2005
  • Considering the effect by uncertainty in the structures, it is reasonable that the safety examination has to be performed by using method of reliability evaluation. Therefore, in this study, program is developed which can perform the reliability analysis or the dynamic response analysis more efficiently by formularizing the stochastic finite element analysis suitable for the existing reliability analysis about the cable stayed bridge suffering the seismic loads. Based on this program, the characteristic of dynamic responses is analyzed quantitatively by examining the average, the standard deviation and the coefficient of variance about the displacement, the resistance and the tension of cable according to the random variables. and the safety of cable stayed bridge is evaluated by examining of reliability index and failure probability

Probabilistic Structural Safety Assessment Considering the Initial Shape and Non-linearity of Steel Cable-Stayed Bridges (강사장교의 초기형상과 비선형성을 고려한 확률론적 구조안전성 평가)

  • Bang, Myung-Seok;Han, Sung-Ho;Lee, Woo-Sang;Lee, Chin-Ok
    • Journal of the Korean Society of Safety
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    • v.25 no.3
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    • pp.91-99
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    • 2010
  • In this study, the advanced numerical algorithm is developed which can performed the static and dynamic stochastic finite element analysis by considering the effect of uncertainties included in the member stiffness of steel cable-stayed bridges and seismic load. After conducting the linear and nonlinear initial shape analysis, the advanced numerical algorithm is the assessment tool which can performed structural the response analysis considering the static linearity and non-linearity of before or after induced intial tensile force, and examined the reliability assessment more efficiently. The verification of the developed numerical algorithm is evaluated by analyzing the regression analysis and coefficient of correlation using the direct monte carlo simulation. Also, the dynamic response characteristic and coefficient of variation of the steel cable-stayed bridge is calculated by considering the uncertainty of random variables using the developed numerical algorithm. In addition, the quantitative structural safety of the steel cable-stayed bridges is evaluated by conducting the reliability assessment based upon the dynamic stochastic finite element analysis result.

A New Sensitivity-Based Reliability Calculation Algorithm in the Optimal Design of Electromagnetic Devices

  • Ren, Ziyan;Zhang, Dianhai;Koh, Chang Seop
    • Journal of Electrical Engineering and Technology
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    • v.8 no.2
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    • pp.331-338
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    • 2013
  • A new reliability calculation method is proposed based on design sensitivity analysis by the finite element method for nonlinear performance constraints in the optimal design of electromagnetic devices. In the proposed method, the reliability of a given design is calculated by using the Monte Carlo simulation (MCS) method after approximating a constraint function to a linear one in the confidence interval with the help of its sensitivity information. The validity and numerical efficiency of the proposed sensitivity-assisted MCS method are investigated by comparing its numerical results with those obtained by using the conventional MCS method and the first-order reliability method for analytic functions and the TEAM Workshop Problem 22.

Dynamic and reliability analysis of stochastic structure system using probabilistic finite element method

  • Moon, Byung-Young;Kang, Gyung-Ju;Kang, Beom-Soo;Cho, Dae-Seung
    • Structural Engineering and Mechanics
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    • v.18 no.1
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    • pp.125-135
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    • 2004
  • Industrial structure systems may have nonlinearity, and are also sometimes exposed to the danger of random excitation. This paper proposes a method to analyze response and reliability design of a complex nonlinear structure system under random excitation. The nonlinear structure system which is subjected to random process is modeled by finite element method. The nonlinear equations are expanded sequentially using the perturbation theory. Then, the perturbed equations are solved in probabilistic methods. Several statistical properties of random process that are of interest in random vibration applications are reviewed in accordance with the nonlinear stochastic problem.

Design Modification of Bearing Walkout of Water Pump by a Finite Element Analysis (유한요소해석을 이용한 워터펌프 베어링돌출 설계 개선)

  • Yang, Chull-Ho;Han, Moon-Sik
    • Transactions of the Korean Society of Automotive Engineers
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    • v.14 no.3
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    • pp.164-169
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    • 2006
  • A systematic methodology has been proposed to establish a reliable design of water pump system. A simplified steady-state dynamic model of water pump system has been developed to study the response of water pump system to the dynamic load mainly due to the run-out and unbalance. Design modifications are needed to strengthen the structural integrity of existing designs. Increasing the natural frequency of system is pursued to prevent a resonance from occurring in the engine excitation range. A computational reliability methodology combined with finite element analysis is used to identify the most significant factor affecting the system performance. This method considered influence of design control parameters for the performance of design. By including control factors to the system model in a systematic way, more reliable design is expected.