• 제목/요약/키워드: Non-Linear stiffness

검색결과 309건 처리시간 0.033초

On the local stability condition in the planar beam finite element

  • Planinc, Igor;Saje, Miran;Cas, Bojan
    • Structural Engineering and Mechanics
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    • 제12권5호
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    • pp.507-526
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    • 2001
  • In standard finite element algorithms, the local stability conditions are not accounted for in the formulation of the tangent stiffness matrix. As a result, the loss of the local stability is not adequately related to the onset of the global instability. The phenomenon typically arises with material-type localizations, such as shear bands and plastic hinges. This paper addresses the problem in the context of the planar, finite-strain, rate-independent, materially non-linear beam theory, although the proposed technology is in principle not limited to beam structures. A weak formulation of Reissner's finite-strain beam theory is first presented, where the pseudocurvature of the deformed axis is the only unknown function. We further derive the local stability conditions for the large deformation case, and suggest various possible combinations of the interpolation and numerical integration schemes that trigger the simultaneous loss of the local and global instabilities of a statically determined beam. For practical applications, we advice on a procedure that uses a special numerical integration rule, where interpolation nodes and integration points are equal in number, but not in locations, except for the point of the local instability, where the interpolation node and the integration point coalesce. Provided that the point of instability is an end-point of the beam-a condition often met in engineering practice-the procedure simplifies substantially; one of such algorithms uses the combination of the Lagrangian interpolation and Lobatto's integration. The present paper uses the Galerkin finite element discretization, but a conceptually similar technology could be extended to other discretization methods.

탄소섬유쉬트에 의해 휨보강된 RC보의 휨강도 추정 (An Estimate of Flexural Strength for Reinforce Concrete Beams Strengthened with CFRP Sheets)

  • 박종섭;정우태;유영준;박영환
    • 콘크리트학회논문집
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    • 제17권2호
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    • pp.213-220
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    • 2005
  • 탄소섬유쉬트를 이용한 철근콘크리트 교량의 보강은 재료의 높은 중량-강도비, 중량-강성비, 내부식성 및 시공의 편리성 등과 같은 여러 가지 장점으로 인하여 최근 그 사용이 급증하고 있다. 본 연구의 목적은 탄소섬유쉬트로 휨보강된 철근콘크리트보의 보강성능을 비교하고, 그 특성을 고려한 보강설계식을 제안하기 위함이다. 철근비 및 보강비에 따른 철근콘크리트보의 보강성능을 검토하기 위하여 3m 경간의 단순보에 대한 실험을 수행하였으며, 파괴모드, 최대하중 및 단면 내에서의 변형률분포에 비중을 두고 결과를 분석하였다. 실험 결과, 보강된 보는 단면 내에서의 변형률이 선형으로 분포하지 않는 것으로 나타났으며, 본 연구에서는 이러한 실험결과를 바탕으로 보강설계식을 제안하고 국내외 여러 실험결과들과의 비교를 통해 제안된 보강설계식이 타당함을 나타내었다.

RC 골조의 내진 보강을 위한 예압 가새의 3-D 배치 (3-D Configuration Effects of Prestressing Cable Bracing Used for Retrofitting a RC Frame Subjected to Seismic Damage)

  • 이진호;오상균;히샴 엘간조리
    • 한국구조물진단유지관리공학회 논문집
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    • 제7권3호
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    • pp.183-191
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    • 2003
  • 본 연구는 예압 가새로써 내진 보강된 RC 골조의 보강 효과를 3차원적으로 조사함이 그 목적이다. 이를 위해, 먼저 4층 규모의 RC 골조에 극한 하중을 가한 후 예압 가새를 이용하여 보강하되 보강 위치에 따라 3경우로 나누어 해석을 수행해보았다. 해석 방법으로써, 본 연구자가 앞서 행한 연구 결과에 의해 정적 붕괴 해석법이 비선형 동적 시간 이력 해석법의 대안책으로 훌륭히 쓰일 수 있음을 밝힌바 있기 때문에 정적 붕괴 해석만 적용하여 보강 전의 해석 및 보강 후의 영향에 대해서 평가하였다. 그 결과, 외주부에 설치한 가새가 커다란 비틀림 저항을 발휘했으며 예압 가새로 인해 골조에 균등한 강성 변화가 유도되어 급격한 파괴가 발생하지 않는 효과를 보였다.

Performance-based and damage assessment of SFRP retrofitted multi-storey timber buildings

  • Vahedian, Abbas;Mahini, Seyed Saeed;Glencross-Grant, Rex
    • Structural Monitoring and Maintenance
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    • 제2권3호
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    • pp.269-282
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    • 2015
  • Civil structures should be designed with the lowest cost and longest lifetime possible and without service failure. The efficient and sustainable use of materials in building design and construction has always been at the forefront for civil engineers and environmentalists. Timber is one of the best contenders for these purposes particularly in terms of aesthetics; fire protection; strength-to-weight ratio; acoustic properties and seismic resistance. In recent years, timber has been used in commercial and taller buildings due to these significant advantages. It should be noted that, since the launch of the modern building standards and codes, a number of different structural systems have been developed to stabilise steel or concrete multistorey buildings, however, structural analysis of high-rise and multi-storey timber frame buildings subjected to lateral loads has not yet been fully understood. Additionally, timber degradation can occur as a result of biological decay of the elements and overloading that can result in structural damage. In such structures, the deficient members and joints require strengthening in order to satisfy new code requirements; determine acceptable level of safety; and avoid brittle failure following earthquake actions. This paper investigates performance assessment and damage assessment of older multi-storey timber buildings. One approach is to retrofit the beams in order to increase the ductility of the frame. Experimental studies indicate that Sprayed Fibre Reinforced Polymer (SFRP) repairing/retrofitting not only updates the integrity of the joint, but also increases its strength; stiffness; and ductility in such a way that the joint remains elastic. Non-linear finite element analysis ('pushover') is carried out to study the behaviour of the structure subjected to simulated gravity and lateral loads. A new global index is re-assessed for damage assessment of the plain and SFRP-retrofitted frames using capacity curves obtained from pushover analysis. This study shows that the proposed method is suitable for structural damage assessment of aged timber buildings. Also SFRP retrofitting can potentially improve the performance and load carrying capacity of the structure.

A new method for infill equivalent strut width

  • Tabeshpour, Mohammad Reza;Arasteh, Arash Mahdipour
    • Structural Engineering and Mechanics
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    • 제69권3호
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    • pp.257-268
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    • 2019
  • Infills are as important members in structural design as beams, columns and braces. They have significant effect on structural behavior. Because of lots of variables in infills like material non-linear behavior, the interaction between frames and infill, etc., the infills performance during an earthquake is complicated, so have led designers do not consider the effect of infills in designing the structure. However, the experimental studies revealed that the infills have the remarkable effect on structure behavior. As if these effects ignored, it might occur soft-story phenomena, torsion or short-column effects on the structures. One simple and appropriate method for considering the infills effects in analyzing, is replacing the infills with diagonal compression strut with the same performance of real infill, instead of designing the whole infill. Because of too many uncertainties, codes and researchers gave many expressions that were not as the same as the others. The major intent of this paper is calculation the width of this diagonal strut, which has the most characteristics of infill. This paper by comprehensive on different parameters like the modulus of young or moment of inertia of columns presents a new formula for achieving the equivalent strut width. In fact, this new formula is extracted from about 60 FEM analyses models. It can be said that this formula is very efficient and accurate in estimating the equivalent strut width, considering the large number of effective parameters relative to similar relationships provided by other researchers. In most cases, the results are so close to the values obtained by the FEM. In this formula, the effect of out of plane buckling is neglected and this formula is used just in steel structures. Also, the thickness of infill panel, and the lateral force applied to frame are constant. In addition, this new formula is just for modeling the lateral stiffness. Obtaining the nearest response in analyzing is important to the designers, so this new formula can help them to reach more accurate response among a lot of experimental equations proposed by researchers.

Designing a novel mRNA vaccine against Vibrio harveyi infection in fish: an immunoinformatics approach

  • Islam, Sk Injamamul;Mou, Moslema Jahan;Sanjida, Saloa;Tariq, Muhammad;Nasir, Saad;Mahfuj, Sarower
    • Genomics & Informatics
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    • 제20권1호
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    • pp.11.1-11.20
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    • 2022
  • Vibrio harveyi belongs to the Vibrio genus that causes vibriosis in marine and aquatic fish species through double-stranded DNA virus replication. In humans, around 12 Vibrio species can cause gastroenteritis (gastrointestinal illness). A large amount of virus particles can be found in the cytoplasm of infected cells, which may cause death. Despite these devastating complications, there is still no cure or vaccine for the virus. As a result, we used an immunoinformatics approach to develop a multi-epitope vaccine against most pathogenic hemolysin gene of V. harveyi. The immunodominant T- and B-cell epitopes were identified using the hemolysin protein. We developed a vaccine employing three possible epitopes: cytotoxic T-lymphocytes, helper T-lymphocytes, and linear B-lymphocyte epitopes, after thorough testing. The vaccine was developed to be antigenic, immunogenic, and non-allergenic, as well as having a better solubility. Molecular dynamics simulation revealed significant structural stiffness and binding stability. In addition, the immunological simulation generated by computer revealed that the vaccination might elicit immune reactions in the actual life after injection. Finally, using Escherichia coli K12 as a model, codon optimization yielded ideal GC content and a higher codon adaptation index value, which was then included in the cloning vector pET2+ (a). Altogether, our experiment implies that the proposed peptide vaccine might be a good option for vibriosis prophylaxis.

목재를 이용한 육각형 공간 트러스 모델의 정적좌굴하중 특성 (Characteristics of Static Buckling Load of the Hexagonal Spatial Truss Models using Timber)

  • 하현주;손수덕;이승재
    • 한국공간구조학회논문집
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    • 제22권3호
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    • pp.25-32
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    • 2022
  • In this paper, the instability of the domed spatial truss structure using wood and the characteristics of the buckling critical load were studied. Hexagonal space truss was adopted as the model to be analyzed, and two boundary conditions were considered. In the first case, the deformation of the inclined member is only considered, and in the second case, the deformation of the horizontal member is also considered. The materials of the model adopted in this paper are steel and timbers, and the considered timbers are spruce, pine, and larch. Here, the inelastic properties of the material are not considered. The instability of the target structure was observed through non-linear incremental analysis, and the buckling critical load was calculated through the singularities and eigenvalues of the tangential stiffness matrix at each incremental step. From the analysis results, in the example of the boundary condition considering only the inclined member, the critical buckling load was lower when using timber than when using steel, and the critical buckling load was determined according to the modulus of elasticity of timber. In the case of boundary conditions considering the effect of the horizontal member, using a mixture of steel and timber case had a lower buckling critical load than the steel case. But, the result showed that it was more effective in structural stability than only timber was used.

Numerical modelling of the behavior of bare and masonry-infilled steel frames with different types of connections under static loads

  • Galal Elsamak;Ahmed H. Elmasry;Basem O. Rageh
    • Computers and Concrete
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    • 제33권1호
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    • pp.103-119
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    • 2024
  • In this paper, the non-linear behavior of masonry-infill and bare steel frames using different beam-column connections under monotonic static loading was investigated through a parametric study. Numerical models were carried out using one- and two-dimensional modelling to validate the experimental results. After validating the experimental results by using these models, a parametric study was carried out to model the behavior of these frames using flushed, extended, and welded connections. The results showed that using the welded or extended connection is more efficient than using the flushed type in masonry-infilled steel frames, since the lateral capacities, initial stiffness, and toughness have been increased by 155%, 601%, and 165%, respectively in the case of using welded connections compared with those used in bare frames. The FE investigation was broadened to study the influence of the variation of the uniaxial column loads on the lateral capacities of the bare/infill steel frames. As the results showed when increasing the amount of uniaxial loading on the columns, whether in tension or compression, causes the lateral load capacity of the columns to decrease by 26% for welded infilled steel frames. Finally, the influence of using different types of beam-to-column connections on the vertical capacities of the bare/infill steel frames under settlement effect was also studied. As a result, it was found that, the vertical load capacity of all types of frames and with using any type of connections is severely reduced, and this decrease may reach 62% for welded infilled frames. Furthermore, the flushed masonry-infilled steel frame has a higher resistance to the vertical loads than the flushed bare steel frame by 133%.

모래 지반의 입자크기가 지반-말뚝 시스템의 동적 거동에 미치는 영향 평가 (Evaluation of Particle Size Effect on Dynamic Behavior of Soil-pile System)

  • 유민택;양의규;한진태;김명모
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 춘계 학술발표회
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    • pp.188-197
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    • 2010
  • This paper presents experimental results of a series of 1-g shaking table model tests performed on end-bearing single piles and pile groups to investigate the effect of particle size on the dynamic behavior of soil-pile systems. Two soil-pile models consisting of a single-pile and a $4{\times}2$-pile group were tested twice; first using Jumoonjin sand, and second using Australian Fine sand, which has a smaller particle size. In the case of single-pile models, the lateral displacement was almost within 1% of pile diameter which corresponds to the elastic range of the pile. The back-calculated p-y curves show that the subgrade reaction of the Jumoonjin-sand-model ground was larger than that of the Australian Fine-sand-model ground at the same displacement. This phenomenon means that the stress-strain behavior of Jumoonjin sand was initially stiffer than that of Australian Fine sand. This difference was also confirmed by resonant column tests and compression triaxial tests. And the single pile p-y backbone curves of the Australian fine sand were constructed and compared with those of the Jumoonjin sand. As a result, the stiffness of the p-y backbone curves of Jumunjin sand was larger than those of Australian fine sand. Therefore, using the same p-y curves regardless of particle size can lead to inaccurate results when evaluating dynamic behavior of soil-pile system. In the case of the group-pile models, the lateral displacement was much larger than the elastic range of pile movement at the same test conditions in the single-pile models. The back-calculated p-y curves in the case of group pile models were very similar in both sands because the stiffness difference between the Jumoonjin-sand-model ground and the Australian Fine-sand-model ground was not significantly large at a large strain level, where both sands showed non-linear behavior. According to a series of single pile and group pile test results, the evaluation group pile effect using the p-multiplier can lead to inaccurate results on dynamic behavior of soil-pile system.

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기존선 철도차량을 이용한 철도교의 상호작용해석 (Vehicle-Bridge Interaction Analysis of Railway Bridges by Using Conventional Trains)

  • 조은상;김희주;황원섭
    • 대한토목학회논문집
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    • 제29권1A호
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    • pp.31-43
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    • 2009
  • 본 논문에서는 다양한 차종의 영향을 반영할 수 있고, 차량과 교량의 연성 운동방정식을 구성하여 시간 단계별 직접해를 산정할 수 있는 수치해석기법을 제시하였다. 운동방정식의 해는 직접적분법인 Newmark ${\beta}$을 이용하여 해석 단계별로 구성된 유효강성행렬과 유효하중벡터를 바탕으로 정적평형방정식의 해를 구하는 원리와 동일하게 산정하였다. 또한 해석의 효율성을 증진시키기 위하여 유효강성행렬은 Skyline 법에 의해 재구성하였으며, Cholesky의 행렬 분해기법을 동시에 적용하여 직접적인 역행렬 계산에서 야기되는 오차의 발생을 최소화 하였다. 또한 기존선 철도차량인 새마을 PMC 열차와 디젤 견인 무궁화 열차에 대한 3차원 정밀수치해석 모델을 개발하였고, 각 차량은 차체와 전 후방 대차에 각각 6자유도씩 고려하여 총 18자유도로 수치모델을 작성하였다. 교량은 3차원 공간뼈대 요소를 이용하여 모델링하였고, 차륜과 레일 접촉면의 불규칙성은 미국의 FRA에서 규정하고 있는 연직방향 및 횡방향틀림에 대한 PSD 함수를 이용하여 궤도틀림을 수치적으로 구현하였다. 제시된 수치해석 기법은 12 m, 18 m형 판형교의 실측결과를 이용하여 타당성을 검증하였으며, 실측 및 수치해석결과는 교량의 1차 휨 고유진동수의 2.0배를 기준으로 Low pass filtering 하였다.