• Title/Summary/Keyword: dynamic reliability

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Dynamic reliability of structures: the example of multi-grid composite walls

  • Liu, Pei;Yaoa, Qian-Feng
    • Structural Engineering and Mechanics
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    • v.36 no.4
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    • pp.463-479
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    • 2010
  • Based on damage accumulation of multi-grid composite walls, a method of dynamic reliability estimations is proposed. The multi-grid composite wall is composed of edge frame beam, edge frame columns, grid beams, grid columns and filling blocks. The equations including stiffness, shear forces at filling blocks cracking and multi-grid composite walls yielding, ultimate displacement, and damage index are obtained through tests of 13 multi-grid composite wall specimens. Employing these equations in reliability calculations, procedures of dynamic reliability estimations based on damage accumulation of multi-grid composite walls subjected to random earthquake excitations are proposed. Finally the proposed method is applied to the typical composite wall specimen subjected to random earthquake excitations which can be specified by a finite number of input random variables. The dynamic reliability estimates, when filling blocks crack under earthquakes corresponding to 63% exceedance in 50 years and when the composite wall reach limit state under earthquakes corresponding to 2-3% exceedance in 50 years, are obtained using the proposed method by taking damage indexes as thresholds. The results from the proposed method which show good agreement with those from Monte-Carlo simulations demonstrate the proposed method is effective.

Effects of Underfills on the Dynamic Bending Reliability of Ball Grid Array Board Assembly (Ball Grid Array 보드 어셈블리의 동적굽힘 신뢰성에 미치는 언더필의 영향)

  • Jang, Jae-Won;Bang, Jung-Hwan;Yoo, Se-Hoon;Kim, Mok-Soon;Kim, Jun-Ki
    • Korean Journal of Materials Research
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    • v.21 no.12
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    • pp.650-654
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    • 2011
  • In this paper, the effects of conventional and newly developed elastomer modified underfill materials on the mechanical shock reliability of BGA board assembly were studied for application in mobile electronics. The mechanical shock reliability was evaluated through a three point dynamic bending test proposed by Motorola. The thermal properties of the underfills were measured by a DSC machine. Through the DSC results, the curing condition of the underfills was selected. Two types of underfills showed similar curing behavior. During the dynamic bending reliability test, the strain of the PCB was step increased from 0.2% to 1.5% until the failure circuit was detected at a 50 kHz sampling rate. The dynamic bending reliability of BGA board assembly using elastomer modified underfill was found to be superior to that of conventional underfill. From mechanical and microstructure analyses, the disturbance of crack propagation by the presence of submicron elastomer particles was considered to be mainly responsible for that result rather than the shear strength or elastic modulus of underfill joint.

Reliability analysis of repairable k-out-n system from time response under several times stochastic shocks

  • Fang, Yongfeng;Tao, Wenliang;Tee, Kong Fah
    • Smart Structures and Systems
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    • v.14 no.4
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    • pp.559-567
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    • 2014
  • The model of unit dynamic reliability of repairable k/n (G) system with unit strength degradation under repeated random shocks has been developed according to the stress-strength interference theory. The unit failure number is obtained based on the unit failure probability which can be computed from the unit dynamic reliability. Then, the transfer probability function of the repairable k/n (G) system is given by its Markov property. Once the transfer probability function has been obtained, the probability density matrix and the steady-state probabilities of the system can be retrieved. Finally, the dynamic reliability of the repairable k/n (G) system is obtained by solving the differential equations. It is illustrated that the proposed method is practicable, feasible and gives reasonable prediction which conforms to the engineering practice.

Analysis of structural dynamic reliability based on the probability density evolution method

  • Fang, Yongfeng;Chen, Jianjun;Tee, Kong Fah
    • Structural Engineering and Mechanics
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    • v.45 no.2
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    • pp.201-209
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    • 2013
  • A new dynamic reliability analysis of structure under repeated random loads is proposed in this paper. The proposed method is developed based on the idea that the probability density of several times random loads can be derived from the probability density of single-time random load. The reliability prediction models of structure based on time responses under several times random loads with and without strength degradation are obtained by using the stress-strength interference theory and probability density evolution method. The resulting differential equations in the prediction models can be solved by using the forward finite difference method. Then, the probability density functions of strength redundancy of the structures can be obtained. Finally, the structural dynamic reliability can be calculated using integral method. The efficiency of the proposed method is demonstrated numerically through a speed reducer. The results have shown that the proposed method is practicable, feasible and gives reasonably accurate prediction.

GPU-accelerated Reliability Analysis Method using Dynamic Reliability Block Diagram based on DEVS Formalism (DEVS 형식론 기반의 Dynamic Reliability Block Diagram과 GPU 가속 기술을 이용한 신뢰도 분석 방법)

  • Ha, Sol;Ku, Namkug;Roh, Myung-Il
    • Journal of the Korea Society for Simulation
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    • v.22 no.4
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    • pp.109-118
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    • 2013
  • This paper adopts the system configuration to assess the reliability instead of making a fault tree (FT), which is a traditional method to analyze reliability of a certain system; this is the reliability block diagram (RBD) method. The RBD method is a graphical presentation of a system diagram connecting the subsystems of components according to their functions or reliability relationships. The equipment model for the reliability simulation is modeled based on the discrete event system specification (DEVS) formalism. In order to make various alternatives of target system, this paper also adopts the system entity structure (SES), an ontological framework that hierarchically represents the elements of a system and their relationships. To enhance the calculation time of reliability analysis, GPU-based accelerations are adopted to the reliability simulation.

Probability density evolution analysis on dynamic response and reliability estimation of wind-excited transmission towers

  • Zhang, Lin-Lin;Li, Jie
    • Wind and Structures
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    • v.10 no.1
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    • pp.45-60
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    • 2007
  • Transmission tower is a vital component in electrical system. In order to accurately compute the dynamic response and reliability of transmission tower under the excitation of wind loading, a new method termed as probability density evolution method (PDEM) is introduced in the paper. The PDEM had been proved to be of high accuracy and efficiency in most kinds of stochastic structural analysis. Consequently, it is very hopeful for the above needs to apply the PDEM in dynamic response of wind-excited transmission towers. Meanwhile, this paper explores the wind stochastic field from stochastic Fourier spectrum. Based on this new viewpoint, the basic random parameters of the wind stochastic field, the roughness length $z_0$ and the mean wind velocity at 10 m heigh $U_{10}$, as well as their probability density functions, are investigated. A latticed steel transmission tower subject to wind loading is studied in detail. It is shown that not only the statistic quantities of the dynamic response, but also the instantaneous PDF of the response and the time varying reliability can be worked out by the proposed method. The results demonstrate that the PDEM is feasible and efficient in the dynamic response and reliability analysis of wind-excited transmission towers.

System Reliability Evaluation using Dynamic Fault Tree Analysis (동적 Fault Tree 분석을 이용한 시스템 신뢰도 평가)

  • Byun, Sungil;Lee, Dongik
    • IEMEK Journal of Embedded Systems and Applications
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    • v.8 no.5
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    • pp.243-248
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    • 2013
  • Reliability evaluation is important task in embedded system. It can avoid potential failures and manage the vulnerable components of embedded system effectively. Dynamic fault tree analysis is one of the reliability evaluation methods. It can represent dynamic characteristics of a system such as fault & error recovery, sequence-dependent failures. In this paper, the steering system, which is embedded system in vehicles, is represented using dynamic fault tree. We evaluate the steering system using approximation algorithm based on Simpson's rule. A set of simulation results shows that proposed method overcomes the low accuracy of classic approximation method without requiring no excessive calculation time of the Markov chain method.

A New Method for Assessing Dynamic Reliability for the Mid-loop Operation (원전의 부분충수운전에 대한 동적 신뢰도평가)

  • 제무성;박군철
    • Journal of the Korean Society of Safety
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    • v.11 no.2
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    • pp.52-59
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    • 1996
  • This paper presents a new approach for assessing the dynamic reliability in a complex system such as a nuclear power plant. The method is applied to a dynamic analysis of the potential accident sequences which may occur during mid-loop operation. Mid-loop operation is defined as an operation to make RCS water level below the top of the flow area of the hot legs at the junction with the reactor vessel for repairs and maintenance of steam generators and reactor coolant pumps for a specific time. The Idea behind this approach consists of both the use of the concept of the performance achievement/requirement correlation and of a dynamic event tree generation method. The assessment of the system reliability depends on the determination of both the required performance distribution and the achieved performance distribution. The quantified correlation between requirement and achievement represents a comparison between two competing variables. It is demonstrated that this method is easily applicable and flexible in that it can be applied to any kind of dynamic reliability problem.

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An Efficient Software Reliability Testing Method for the Model based Embedded Software (모델 기반 내장형 소프트웨어의 효율적 신뢰성 시험 기법)

  • Park, Jang-Seong;Cho, Sung-Bong;Park, Hyun-Yong;Kim, Do-Wan;Kim, Seong-Gyun
    • Journal of the Korea Society for Simulation
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    • v.27 no.1
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    • pp.25-32
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    • 2018
  • This paper presents an efficient software reliability testing method for the model based auto-generated code and reify a dynamic test procedure. The benefits of executing the model-based each static/dynamic reliability test before the code-based static/dynamic reliability test are described. Also, The correlations of code/model based reliability test are demonstrated by using model testing tool, Model Advisor and Verification and Validation, and the code testing tool, PolySpace and LDRA. The result of reliability test is indicated in this paper.

Dynamic Response based Reliability Analysis of Structure with Passive Damper - Part 1: Assessment of Member Failure Probability (수동형 댐퍼를 장착한 구조물의 동적응답기반 신뢰성 해석 - 제1편: 부재별 파괴확률 산정)

  • Kim, Seung-Min;Ok, Seung-Yong
    • Journal of the Korean Society of Safety
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    • v.31 no.4
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    • pp.90-96
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    • 2016
  • This study proposes a dynamic reliability analysis of control system as a method of quantitative evaluation of its performance in probabilistic terms. In this dynamic reliability analysis, the failure event is defined as an event that the dynamic response of the structural system exceeds a displacement limit, whereas the conventional reliability analysis method has limitations that do not properly assess the actual time history response of the structure subjected to dynamic loads, such as earthquakes and high winds, by taking the static response into account in the failure event. In this first paper, we discuss the control effect of the viscous damper on the seismic performance of the member-level failure where the failure event of the structural member consists of the union set of time-sequential member failures during the earthquake excitations and the failure probability of the earthquake-excited structural member is computed using system reliability approach to consider the statistical dependence of member failures between the subsequent time points. Numerical results demonstrate that the proposed approach can present a reliable assessment of the control performance of the viscous damper system in comparison with MCS method. The most important advantage of the proposed approach can provide us more accurate estimate of failure probability of the structural control system by using the actual time-history responses obtained by dynamic response analysis.