• 제목/요약/키워드: Limit state function

검색결과 218건 처리시간 0.024초

기대생애주기비용에 기초한 고속철도교량의 신뢰성-최적설계 방안 (Reliability-Optimal Design Method of High-Speed Railway Bridges Based upon Expected Life-Cycle Cost)

  • 이우상;방명석;한성호;이진옥
    • 한국구조물진단유지관리공학회 논문집
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    • 제14권4호
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    • pp.102-110
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    • 2010
  • 신뢰성평가는 고속철도교량에 포함된 불확실성의 영향을 고려하여 정량적 구조안전성을 검토하기 위한 효율적인 방안이며, 신뢰성평가에 기초한 기대생애주기비용은 고속철도교량의 합리적인 안전수준 및 설계기준을 제공할 것이다. 따라서 이 연구에서는 수치해석과 신뢰성평가 결과를 바탕으로 고속철도교량의 기대생애주기비용 및 최적설계 방안을 결정하고자 한다. 이를 위해, 고속철도교량의 표준설계를 기준으로 다양한 설계방안을 설정한 후, 각각의 설계방안에 대해 수치해석을 수행하였으며, 설계강도 한계상태방정식에 따른 신뢰성평가는 수치해석결과를 토대로 외적 불확실성의 영향을 고려하여 수행하였다. 고속철도교량의 기대생애주기비용은 각각의 설계방안에 따른 신뢰성평가 결과를 바탕으로 산정 하였다. 또한 최적설계 방안은 산정된 기대생애주기비용을 이용하여 결정하였다. 아울러, 최적설계 방안의 신뢰성평가 결과 및 기대생애주기비용에 대해 내적 불확실성의 영향을 고려하여 검토하였다. 이 연구결과는 고속철도교량의 체계적인 안전성 평가 및 최적 구조설계를 위한 기초자료로 활용될 것으로 기대된다.

Moment redistribution of RC continuous beams: Re-examination of code provisions

  • Da Luo;Zhongwen Zhang;Bing Li
    • Structural Engineering and Mechanics
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    • 제85권5호
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    • pp.679-691
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    • 2023
  • Many codes allow designers to use the bending moment diagram computed by elastic analysis and modify it by a certain amount of moment redistribution (MR) to account for plastic behaviour of continuous beams. However, several researchers indicated that the MR at the ultimate limit state (𝛽u) for some beams deviate significantly from the specified values of various codes. This paper examines the applicability of the provisions on 𝛽u in ACI 318-19 and Eurocode 2 through numerical investigations and comprehensively explores the influencing factors. The results show that some parameters not considered in those codes influence 𝛽u to a certain extent, where the ratio of tensile reinforcement ratio at intermediate support to tensile reinforcement ratio at midspan (𝜌s1/𝜌s2) and load type are crucial parameters to consider. The specific combination of these two parameters may make the codes overestimate or significantly underestimate the 𝛽u. On the other hand, the yield state of both critical sections is found to have an important influence on the influence degree of each parameter on 𝛽u. The yield conditions are investigated, and an empirical judgment equation is proposed. In addition, the influence laws of the critical parameters on 𝛽u have been further proved by theoretical derivation. Finally, due to 𝜀t is found to have a better linear correlation with 𝛽u than xu/d, equations as a function of 𝜀t for predicting the 𝛽u of continuous beams under the two loads are proposed, respectively.

CFST의 D/t 제한모델들에 대한 신뢰성해석에서 모델링불확실성을 해결하는 선택적 방법 (An Alternative Perspective to Resolve Modelling Uncertainty in Reliability Analysis for D/t Limitation Models of CFST)

  • 한택희;김정중
    • 한국전산구조공학회논문집
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    • 제28권4호
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    • pp.409-415
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    • 2015
  • 콘크리트충전강관(Concrete Filled Steel Tube, CFST) 기둥 설계 시, 강관의 국부좌굴을 방지하기 위하여 강관두께 t에 대한 기둥외경 D의 크기를 제한하고 있다. 각각의 설계시방서에서 각기 다른 최대 D/t값을 제안하고 있으며, 강재의 항복응력 $f_y$, 또는 $f_y$와 강재의 탄성계수 E의 식으로 표현된다. $f_y$와 E의 불확실성을 고려할 경우, 최대 D/t 계산식을 포함한 한계상태함수(limit state function)를 구성하여 CFST 단면의 국부좌굴에 대한 신뢰성지수(reliability index) ${beta}$를 산정할 수 있다. 결정된 ${beta}$는 사용된 최대 D/t 계산식에 따라 달라질 것이다. 이러한 신뢰성해석(reliability analysis) 결과의 가변성(variability)은 한계상태함수에 포함되는 전산모델 선택의 모호함(ambiguity)에서 기인한 것으로 모델링불확실성(modelling uncertainty)이라 한다. 모델링불확실성은 정보적불확실성(epistemic uncertainty)의 하나로 알려진 불명확성(non-specificity)으로 고려할 수 있으며, 불명확성은 가능성분포함수(possibility distribution function)를 사용하여 모델링할 수 있다. 본 연구 에서는 다른 3개의 최대 D/t 계산식을 사용하여 주어진 CFST 단면의 국부좌굴에 대한 신뢰성해석을 수행하고 각각의 신뢰성지수를 계산할 것이다. 불명확한 신뢰성지수들은 가능성분포함수를 사용하여 모델링되고, 이로부터 확신정도(degree of confirmation)를 측정할 것이다. 확신정도는 신뢰성지수가 감소하면 증가한다. 결과적으로, 확신정도에 따라 재구성된 신뢰성지수들을 얻을 수 있으며, 허용 확신정도와 함께 CFST 단면의 국부좌굴에 대한 신뢰성지수의 결정이 가능하게 된다.

Nonlinear rheology of linear polymer melts: Modeling chain stretch by interchain tube pressure and Rouse time

  • Wagner, Manfred H.;Rolon-Garrido, Victor H.
    • Korea-Australia Rheology Journal
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    • 제21권4호
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    • pp.203-211
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    • 2009
  • In flows with deformation rates larger than the inverse Rouse time of the polymer chain, chains are stretched and their confining tubes become increasingly anisotropic. The pressures exerted by a polymer chain on the walls of an anisotropic confinement are anisotropic and limit chain stretch. In the Molecular Stress Function (MSF) model, chain stretch is balanced by an interchain pressure term, which is inverse proportional to the $3^{rd}$ power of the tube diameter and is characterized by a tube diameter relaxation time. We show that the tube diameter relaxation time is equal to 3 times the Rouse time in the limit of small chain stretch. At larger deformations, we argue that chain stretch is balanced by two restoring tensions with weights of 1/3 in the longitudinal direction of the tube (due to a linear spring force) and 2/3 in the lateral direction (due to the nonlinear interchain pressure), both of which are characterized by the Rouse time. This approach is shown to be in quantitative agreement with transient and steady-state elongational viscosity data of two monodisperse polystyrene melts without using any nonlinear parameter, i.e. solely based on the linear-viscoelastic characterization of the melts. The same approach is extended to model experimental data of four styrene-butadiene random copolymer melts in shear flow. Thus for monodisperse linear polymer melts, for the first time a constitutive equation is presented which allows quantitative modeling of nonlinear extension and shear rheology on the basis of linear-viscoelastic data alone.

라오-블랙웰라이즈드 입자필터를 이용한 지형참조 수중항법 (Terrain-referenced Underwater Navigation using Rao-Blackwellized Particle Filter)

  • 김태윤;김진환;최현택
    • 제어로봇시스템학회논문지
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    • 제19권8호
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    • pp.682-687
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    • 2013
  • Navigation is a crucial capability for all types of manned or unmanned vehicles. However, vehicle navigation in underwater environments still remains a challenging problem since GPS signals for position fixes are not available in the water. Terrain-referenced underwater navigation is an alternative navigation technique that utilizes geometric information of the subsea terrain to correct drift errors due to dead-reckoning or inertial navigation. Terrain-referenced navigation requires the description of an undulating terrain surface as a mathematical function or table, which often leads to a highly nonlinear estimation problem. Recently, PFs (Particle Filters), which do not require any restrictive assumptions about the system dynamics and uncertainty distributions, have been widely used for nonlinear filtering applications. However, PF has considerable computational requirements which used to limit its applicability to problems of relatively low state dimensions. This study proposes the use of a Rao-Blackwellized particle filter that is computationally more efficient than the standard PF for terrain-referenced underwater navigation involving a moderate number of states, and its performance is compared with that of the extended Kalman filter algorithm. The validity and feasibility of the proposed algorithm is demonstrated through numerical simulations.

The Reliability Estimation of Pipeline Using FORM, SORM and Monte Carlo Simulation with FAD

  • Lee, Ouk-Sub;Kim, Dong-Hyeok
    • Journal of Mechanical Science and Technology
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    • 제20권12호
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    • pp.2124-2135
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    • 2006
  • In this paper, the reliability estimation of pipelines is performed by employing the probabilistic method, which accounts for the uncertainties in the load and resistance parameters of the limit state function. The FORM (first order reliability method) and the SORM (second order reliability method) are carried out to estimate the failure probability of pipeline utilizing the FAD (failure assessment diagram). And the reliability of pipeline is assessed by using this failure probability and analyzed in accordance with a target safety level. Furthermore, the MCS (Monte Carlo Simulation) is used to verify the results of the FORM and the SORM. It is noted that the failure probability increases with the increase of dent depth, gouge depth, operating pressure, outside radius, and the decrease of wall thickness. It is found that the FORM utilizing the FAD is a useful and is an efficient method to estimate the failure probability in the reliability assessment of a pipeline. Furthermore, the pipeline safety assessment technique with the deterministic procedure utilizing the FAD only is turned out more conservative than those obtained by using the probability theory together with the FAD. The probabilistic method such as the FORM, the SORM and the MCS can be used by most plant designers regarding the operating condition and design parameters.

약물처리된 심장세포의 세포 수축력 측정을 위한 병렬 폴리머 캔틸레버 제작 (Fabrication of a Parallel Polymer Cantilever to Measure the Contractile Force of Drug-treated Cardiac Cells)

  • 김동수;이동원
    • 센서학회지
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    • 제29권2호
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    • pp.100-104
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    • 2020
  • Thus far, several in vivo biosensing platforms have been proposed to measure the mechanical contractility of cultured cardiomyocytes. However, the low sensitivity and screening rate of the developed sensors severely limit their practical applications. In addition, intensive research and development in cardiovascular disease demand a high-throughput drug-screening platform based on biomimetic engineering. To overcome the drawbacks of the current state-of-the-art methods, we propose a high-throughput drug-screening platform based on 16 functional high-sensitivity well plates. The proposed system simulates the physiological accuracy of the heart function in an in vitro environment. We fabricated 64 cantilevers using highly flexible and optically transparent silicone rubber and placed in 16 independent wells. Nanogrooves were imprinted on the surface of the cantilever to promote cell alignment and maturation. The adverse effects of the cardiovascular drugs on the cultured cardiomyocytes were systematically investigated. The 64 cantilevers demonstrated a highly reliable and reproducible mechanical contractility of the drug-treated cardiomyocytes. Real-time high-throughput screening and simultaneous evaluation of the cardiomyocyte mechanical contractility under multiple drugs verified that the proposed system could be used as an efficient drugtoxicity test platform.

순환식 과제 지향 운동이 경증치매환자의 균형능력과 인지기능에 미치는 영향 (The Effects of Task Oriented Circuit Exercise on Balance and Cognition in Mild Dementia Patients)

  • 정은지;김원복
    • 대한물리의학회지
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    • 제9권1호
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    • pp.83-91
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    • 2014
  • PURPOSE: The purpose of this study was to investigate the effects of task oriented circuit exercise(TOCE) on the balance and cognition in mild dementia patients. METHODS: The subjects of the study were 30 patients with mild dementia and assigned to the TOCE(task oriented circuit exercise) group(n=15) and aerobic exercise(AE) group(n=15). TOCE group performed six task three times weekly for 12 weeks. AE group underwent the cycle ergometer and treadmill exercise three times a week during the experimental period respectively. Timed up and go test(TUG), Berg balance scale(BBS) and AP1153 Biorescue were used to assess the parameters for the balance. Korean-mini mental state examination and Global deterioration scale(GDS) were used to assess the parameters for the cognition. For the statistical analysis, paired t-test and independent t-test were used to compare the differences among two groups. RESULTS: Each group showed improvement in balance and possibility for improving cognitive function. TOCE group especially, there were significant improvements in limit of stability. CONCLUSION: The results of the study suggest that TOCE is a more diverse exercise programs introduced in the study. Furthermore, TOCE can be a helpful to improve the balance and cognition in mild dementia patients.

Development of optimum design curves for reinforced concrete beams based on the INBR9

  • Habibi, Alireza;Ghawami, Fouad;Shahidzadeh, Mohammad S.
    • Computers and Concrete
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    • 제18권5호
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    • pp.983-998
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    • 2016
  • Structural optimization is one of the most important topics in structural engineering and has a wide range of applicability. Therefore, the main objective of the present study is to apply the Lagrange Multiplier Method (LMM) for minimum cost design of singly and doubly reinforced rectangular concrete beams. Concrete and steel material costs are used as objective cost function to be minimized in this study, and ultimate flexural strength of the beam is considered to be as the main constraint. The ultimate limit state method with partial material strength factors and equivalent concrete stress block is used to derive general relations for flexural strength of RC beam and empirical coefficients are taken from topic 9 of the Iranian National Building Regulation (INBR9). Optimum designs are obtained by using the LMM and are presented in closed form solutions. Graphical representation of solutions are presented and it is shown that proposed design curves can be used for minimum cost design of the beams without prior knowledge of optimization and without the need for iterative trials. The applicability of the proposed relations and curves are demonstrated through two real life examples of SRB and DRB design situations and it is shown that the minimum cost design is actually reached using proposed method.

Reliability-based assessment of steel bridge deck using a mesh-insensitive structural stress method

  • Ye, X.W.;Yi, Ting-Hua;Wen, C.;Su, Y.H.
    • Smart Structures and Systems
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    • 제16권2호
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    • pp.367-382
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    • 2015
  • This paper aims to conduct the reliability-based assessment of the welded joint in the orthotropic steel bridge deck by use of a mesh-insensitive structural stress (MISS) method, which is an effective numerical procedure to determine the reliable stress distribution adjacent to the weld toe. Both the solid element model and the shell element model are first established to investigate the sensitivity of the element size and the element type in calculating the structural stress under different loading scenarios. In order to achieve realistic condition assessment of the welded joint, the probabilistic approach based on the structural reliability theory is adopted to derive the reliability index and the failure probability by taking into account the uncertainties inherent in the material properties and load conditions. The limit state function is formulated in terms of the structural resistance of the material and the load effect which is described by the structural stress obtained by the MISS method. The reliability index is computed by use of the first-order reliability method (FORM), and compared with a target reliability index to facilitate the safety assessment. The results achieved from this study reveal that the calculation of the structural stress using the MISS method is insensitive to the element size and the element type, and the obtained structural stress results serve as a reliable basis for structural reliability analysis.