• Title/Summary/Keyword: Cumulative Damage

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Energy-based damage index for steel structures

  • Bojorquez, E.;Reyes-Salazar, A.;Teran-Gilmore, A.;Ruiz, S.E.
    • Steel and Composite Structures
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    • v.10 no.4
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    • pp.331-348
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    • 2010
  • Ample research effort has been oriented into developing damage indices with the aim of estimating in a reasonable manner the consequences, in terms of structural damage and deterioration, of severe plastic cycling. Although several studies have been devoted to calibrate damage indices for steel and reinforced concrete members; currently, there is a challenge to study and calibrate the use of such indices for the practical evaluation of complex structures. The aim of this paper is to introduce an energy-based damage index for multi-degree-of-freedom steel buildings that accounts explicitly for the effects of cumulative plastic deformation demands. The model has been developed by complementing the results obtained from experimental testing of steel members with those derived from analytical studies regarding the distribution of plastic demands on several steel frames designed according to the Mexico City Building Code. It is concluded that the approach discussed herein is a promising tool for practical structural evaluation of framed structures subjected to large energy demands.

Estimation of Residual Useful Life and Tracking of Real-time Damage Paths of Rubble-Mound Breakwaters Using Stochastic Wiener Process (추계학적 위너 확률과정을 이용한 경사제의 실시간 피해경로 추적과 잔류수명 추정)

  • Lee, Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.3
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    • pp.147-160
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    • 2020
  • A stochastic probabilistic model for harbor structures such as rubble-mound breakwater has been formulated by using the generalized Wiener process considering the nonlinearity of damage drift and its nonlinear uncertainty, by which the damage path with real-time can be tracked, the residual useful lifetime at some age can also be analyzed properly. The formulated stochastic model can easily calculate the probability of failure with the passage of time through the probability density function of cumulative damage. In particular, the probability density functions of residual useful lifetime of the existing harbor structures can be derived, which can take into account the current age, its present damage state and the future damage process to be occurred. By using the maximum likelihood method and the least square method together, the involved parameters in the stochastic model can be estimated. In the calibration of the stochastic model presented in this paper, the present results are very well similar with the results of MCS about tracking of the damage paths as well as evaluating of the density functions of the cumulative damage and the residual useful lifetime. MTTF and MRL are also evaluated exactly. Meanwhile, the stochastic probabilistic model has been applied to the rubble-mound breakwater. The related parameters can be estimated by using the experimental data of the cumulative damages of armor units measured as a function of time. The theoretical results about the probability density function of cumulative damage and the probability of failure are very well agreed with MCS results such that the density functions of the cumulative damage tend to move to rightward and the amounts of its uncertainty are increased as the elapsed time goes on. Thus, the probabilities of failure with the elapsed time are also increased sharply. Finally, the behaviors of residual useful lifetime have been investigated with the elapsed age. It is concluded for rubble-mound breakwaters that the probability density functions of residual useful lifetime tends to have a longer tail in the right side rather than the left side because of the gradual increases of cumulative damage of armor units. Therefore, its MRLs are sharply decreased after some age. In this paper, the special attentions are paid to the relationship of MTTF and MRL and the elapsed age of the existing structure. In spite of that the sum of the elapsed age and MRL must be equal to MTTF deterministically, the large difference has been shown as the elapsed age is increased which is due to the uncertainty of cumulative damage to be occurred in the future.

A Study of Optimal Maintenance Schedules of a System under the Periodic Inspection Policy (주기적인 검사 정책하에서 최적예방 교체시기 결정에 관한 연구)

  • 정현태;김제승
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.44
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    • pp.263-271
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    • 1997
  • This paper presents a preventive maintenance model for determining the preventive replacement period of a system in which a failure rate is affected by the cumulative damage of fault and inspection. Especially, the failure rate function is considered to be a function of the cumulative damage of the fault and inspection time. Types of replacement considered are preventive replacement and failure replacement. Failure rate and expected cost function between replacement are derived. An optimal policy is obtained that minimizes the average cost per unit time for preventive replacement, failure replacement, inspection and repair.

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Design of power transmitting shaft in consideration of fatigue cumulative damage (피로 누적손실을 고려한 변속기 축설계)

  • 이강용
    • Journal of the korean Society of Automotive Engineers
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    • v.12 no.1
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    • pp.20-25
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    • 1990
  • The design of a power transmission shaft which has the limited life under cumulative damage and various mean loads was made in consideration of shaft stiffness and shape determination. All procedures were programmed so that one can see the result by connecting to graphic terminal. The diameters of designed shaft are in good agreement with those of a commercial shaft which is manufactured according to the imported design drawing sheets.

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Strain-based Damage Evaluation of Specimens under Large Seismic Loads (대형 지진하중에 대한 시편의 변형률기반 손상평가)

  • Kweon, Hyeong Do;Heo, Eun Ju;Lee, Jong Min;Kim, Jin Weon
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.14 no.2
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    • pp.24-31
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    • 2018
  • In this paper, specimen tests with simulated large seismic conditions have been carried out to investigate damage characteristics such as structural deformation and crack initiation under seismic loading. The mechanical behavior of the specimens is predicted by numerical simulations and the strain-based damage evaluations are performed. Finite element analyses of the specimens under the simulated seismic loading at room and operating temperatures were carried out for low alloy steel and stainless steel materials. Peak strain amplitude, cumulative fatigue damage and cumulative strain limit damage are calculated considering the nature of cyclic loading. In all cases, the allowable damage criteria are exceeded at the time of observing cracks visually in the tests. Therefore, it is confirmed that the material behavior due to the large seismic loads can be predicted by the numerical method and the structural damage of the materials can be evaluated conservatively based on the strain criteria.

A Study on a Preventive Replacement Model by the Dynamic Programming Method (동적 계획법에 의한 예방교체모형에 관한 연구)

  • 조재립;황의철
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.10 no.16
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    • pp.75-80
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    • 1987
  • This paper is deals with the preventive replacement for the equipment which fails only when the total amount of damage reaches a prespecified failure level. Most of replacement model use time as their decision variable, but it is not appropriate for the cases in which failures dependent on their cumulative damage levels. In this paper, a new type preventive replacement model is introduced in which an equipment is replaced before failure when the cumulative damage reaches a certain level or replaced on failure, whichever occures first. The optimal replacement damage levels which minimize total expected cost are obtained by the Dynamic programming Method when the number of use of the equipment is finite. A numerical example is also presented. The optimal preventive replacement policy when the equipment will be used for a finite time span is also discussed.

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Vibration Analysis and Durability Evaluation of a Sign Frame on a Bridge (교량부속구조물에 대한 진동해석과 피로내구성평가)

  • Lee, Sang-Hun;Endo, Takao;Ishikawa, Masami;Han, Yeon-Hee
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.317-320
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    • 2008
  • Between traffic-induced vibration of a bridge and fatigue damage of its attached structures are very closely related. But any evaluation and design method considering the fatigue damage is not established yet. As an experimental method of evaluation of the fatigue durability, a method based on cumulative damage using a stress range histogram has been often used. However, to use the method, the fatigue durability of unmeasured points could not be evaluated. Then, in this paper, dynamic analysis of a sign frame on a bridge is carried out based on the vibration data of the bridge. And model optimization was performed for good agreement between measured responses and computed responses. As a result, we could get stress range histograms and calculate fatigue durability of unmeasured points.

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Experimental investigation of slamming impact acted on flat bottom bodies and cumulative damage

  • Shin, Hyunkyoung;Seo, Byoungcheon;Cho, Sang-Rai
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.10 no.3
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    • pp.294-306
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    • 2018
  • Most offshore structures including offshore wind turbines, ships, etc. suffer from the impulsive pressure loads due to slamming phenomena in rough waves. The effects of elasticity & plasticity on such slamming loads are investigated through wet free drop test results of several steel unstiffened flat bottom bodies in the rectangular water tank. Also, their cumulative deformations by consecutively repetitive free drops from 1000 mm to 2000 mm in height are measured.

A Study on the Damage of Steel Square Tubular Columns under Cyclic Loading (반복재하를 받는 각형강관기둥의 손상에 관한 연구)

  • Park, Yeon Soo;Jeon, Dong Ho;Suh, Byoung Chal;Kim, Wook;Choi, Dong Ho
    • Journal of Korean Society of Steel Construction
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    • v.15 no.4 s.65
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    • pp.369-378
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    • 2003
  • This study proposed a damage index for steel members and examined a process where steel square tubular columns under cycle loading failed to meet the damage index. A nonlinear analysis was carried out and a damage process analyzed using a finite element program. Material properties and strain characteristics were obtained from material testing. The effect on the damage of members was analyzed according to varying kinds of steels and conditions of loading based on material testing results. According to strain characteristics and cumulative plastic strain of each variable, the effect of conditions of loading and kinds of steels on the damage could be estimated quantitatively.

Cumulative Damage Theory in Fatigue of Graphite/Epoxy [±45]s Composites

  • An, Deuk Man
    • Composites Research
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    • v.28 no.4
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    • pp.182-190
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    • 2015
  • The phenomenological evolution laws of damage can be defined either based on residual life or residual strength. The failure of a specimen can be defined immediately after or before fracture. The former is called in this paper by "failure defined by approach I" and the latter "failure defined by approach II." Usually at failure there is a discontinuity of loading variables and, because of this, damage at failure is discontinuous. Therefore the values of damage at failure by two different approaches are not the same. Based on this idea the sequence effects of the phenomenological evolution law of damage given by $dD/dN=g(D)f({\Phi})$ were studied. Thin-walled graphite/epoxy tubes consisting of four of $[{\pm}45]_s$ laminates were used for the experimental study of sequence effects and the effects of mean stress on fatigue life. It was found that the sequence effects in two step uniaxial fatigue for $[{\pm}45]_s$ graphite/epoxy tubular specimen showed that a high-low block loading sequence was less damaging than a low-high one.