• 제목/요약/키워드: stochastic finite element method

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재료 물성치의 불확실성에 의한 복합적층판 변위의 확률적 거동 (Probabilistic Behavior of Laminated Composite Plates with Random Material Properties)

  • 노혁천
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.27-32
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    • 2008
  • The laminated composite materials have been applied to various mechanical structures due to their high performance to weight ratios. In this study, we suggest a stochastic finite element scheme for the probabilistic analysis of the composite laminated plates. The composite materials consist of two different materials which constitute the matrix and fiber. The material properties in the major and minor directions are determined depending on the volume fraction of these two materials. In this study, the elastic modulus and shear modulus are considered as random and the effect of these random properties on the behavior of the composite plate is investigated. We adopt the weighted integral scheme in the formulation, which has been recognized as the most accurate method in the statistical methodologies. For verification of the proposed scheme, Monte Carlo analysis is also performed for the comparison with the proposed scheme.

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System identification and reliability assessment of an industrial chimney under wind loading

  • Tokuc, M. Orcun;Soyoz, Serdar
    • Wind and Structures
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    • 제27권5호
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    • pp.283-291
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    • 2018
  • This study presents the reliability assessment of a 100.5 m tall reinforced concrete chimney at a glass factory under wind loading by using vibration-based identified modal values. Ambient vibration measurements were recorded and modal values such as frequencies, shapes and damping ratios were identified by using Enhanced Frequency Domain Decomposition (EFDD) method. Afterwards, Finite Element Model (FEM) of the chimney was verified based on identified modal parameters. Reliability assessment of the chimney under wind loading was performed by obtaining the exceedance probability of demand to capacity distribution. Demand distribution of the chimney was developed under repetitive seeds of multivariate stochastic wind fields generated along the height of chimney. Capacity distribution of the chimney was developed by Monte Carlo simulation. Finally, it was found that reliability of the chimney is lower than code suggested limit values.

Reaction force of ship stern bearing in hull large deformation based on stochastic theory

  • Zhang, Sheng-dong;Long, Zhi-lin;Yang, Xiu-ying
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.723-732
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    • 2020
  • A theoretical calculation model for ship stern bearings with large hull deformation is established and validated theoretically and experimentally. A hull simulation model is established to calculate hull deformations corresponding to the reaction force of stern bearings under multi-factor and multi-operating conditions. The results show that in the condition of wave load, hull deformation shows randomness; the aft stern tube bearing load obeys the Gaussian distribution and its value increases significantly compared with the load under static, and the probability of aft stern tube bearing load greater than 1 is 65.7%. The influence laws and levels between hull deformation and bearing reaction force are revealed, and suggestions for ship stern bearing specifications are proffered accordingly.

Dynamic behavior of H-shape tall building subjected to wind loading computed by stochastic and CFD methodologies

  • Lucas Willian Aguiar Mattias;Joao Elias Abdalla Filho
    • Wind and Structures
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    • 제37권3호
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    • pp.229-243
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    • 2023
  • This study analyzes the response of a tall building with an H-shaped cross-section when subjected to wind loading generated by the same H-shape. As normative standards usually adopt regular geometries for determining the wind loading, this paper shows unpublished results which compares results of the dynamic response of H-shaped buildings with the response of simplified section buildings. Computational Fluid Dynamics (CFD) is employed to determine the steady wind load on the H-shaped building. The CFD models are validated by comparison with wind tunnel test data for the k-ε and k-ω models of turbulence. Transient wind loading is determined using the Synthetic Wind Method. A new methodology is presented that combines Stochastic and CFD methods. In addition, time-history dynamic structural analysis is performed using the HHT method for a period of 60 seconds on finite element models. First, the along-wind response is studied for wind speed variations. The wind speeds of 28, 36, 42, and 50 m/s at 0° case are considered. Subsequently, the dynamic response of the building is studied for wind loads at 0°, 45°, and 90° with a wind speed of 42 m/s, which approximates the point of resonance between gusts of wind and the structure. The response values associated with the first two directions for the H-shaped building are smaller than those for the R-shaped (Equivalent Rectangular Shape) one. However, the displacements of the H-shaped building associated with the latter wind load are larger.

Computational study of the wave propagation in three-dimensional human cardiac tissue

  • Kwon, Soon-Sung;Im, Uk-Bin;Kim, Ki-Woong;Lee, Yong-Ho;Shim, Eun-Bo
    • International Journal of Vascular Biomedical Engineering
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    • 제3권1호
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    • pp.23-29
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    • 2005
  • We developed a three dimensional cardiac tissue model based on human cardiac cell and mono-domain approximation for action potential propagation. The human myocyte model proposed by ten Tusscher et al. (TNNP model) (2004) for cell electrophysiology and a mono-domain method for electric wave propagation are used to simulate the cardiac tissue propagation mechanism using a finite element method. To delineate non-homogeneity across cardiac tissue layer, we used three types of cardiac cell models. Ansiotropic effect of action potential propagation is also considered in this study. In this 3D anisotropic cardiac tissue with three cell layers, we generated a reentrant wave using S1-S2 protocol. Computational results showed that the reentrant wave was affected by the anisotropic properties of the cells. To test the reentrant wave under pathological state, we simulated a hypertopic model with non-excitable fibroblasts in stochastic manner. Compared with normal tissue, the hypertropic tissue result showed another center of reentrant wave, indicating that the wave pattern can be more easily changed from regular with a concentric focus to irregular multi-focused reentrant waves in case of patients with hypertrophy.

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Retrofit strategy issues for structures under earthquake loading using sensitivity-optimization procedures

  • Manolis, G.D.;Panagiotopoulos, C.G.;Paraskevopoulos, E.A.;Karaoulanis, F.E.;Vadaloukas, G.N.;Papachristidis, A.G.
    • Earthquakes and Structures
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    • 제1권1호
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    • pp.109-127
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    • 2010
  • This work aims at introducing structural sensitivity analysis capabilities into existing commercial finite element software codes for the purpose of mapping retrofit strategies for a broad group of structures including heritage-type buildings. More specifically, the first stage sensitivity analysis is implemented for the standard deterministic environment, followed by stochastic structural sensitivity analysis defined for the probabilistic environment in a subsequent, second phase. It is believed that this new generation of software that will be released by the industrial partner will address the needs of a rapidly developing specialty within the engineering design profession, namely commercial retrofit and rehabilitation activities. In congested urban areas, these activities are carried out in reference to a certain percentage of the contemporary building stock that can no longer be demolished to give room for new construction because of economical, historical or cultural reasons. Furthermore, such analysis tools are becoming essential in reference to a new generation of national codes that spell out in detail how retrofit strategies ought to be implemented. More specifically, our work focuses on identifying the minimum-cost intervention on a given structure undergoing retrofit. Finally, an additional factor that arises in earthquake-prone regions across the world is the random nature of seismic activity that further complicates the task of determining the dynamic overstress that is being induced in the building stock and the additional demands placed on the supporting structural system.

전기 임피던스 단층촬영법에서 SPSA를 이용한 영상복원 (SPSA Approach to Image Reconstruction in Electrical Impedance Tomograhpy)

  • 김호찬;부창진;이윤준
    • 조명전기설비학회논문지
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    • 제18권2호
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    • pp.23-28
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    • 2004
  • 전기 임피던스 단층촬영법(electrical impedance tomography, EIT)은 미지의 내부 저항률 분포를 갖는 물체 주위에 특수하게 제작된 전극을 여러 개 배치하고 적절하게 설계된 전류를 주입하여 이에 따른 인가전압을 물체 경계에서 측정한 후 이를 근거로 EIT의 영상복원 알고리즘에서 물체 내부의 미지의 저항률 분포를 재구성하는 기술이다. 전기 임피던스 단층촬영법의 영상복원 과정은 비선형 방정식으로 기술되며, 그 해석적인 해를 구하기가 매우 어려우므로 수치적인 방법으로 근사해를 구한다. 본 논문에서는 EIT 영상복원 방법으로 동시 인자변환 확률적 근사화(simultaneous perturbation stochastic approximation, SPSA) 방법을 제안한다. SPSA 방법을 이용한 EIT 영상복원의 성능을 컴퓨터시뮬레이션을 통해 살펴보고 기존의 mNR 방법에 의해 얻어진 결과와 비교 분석하도록 한다.

Stochastic thermo-mechanically induced post buckling response of elastically supported nanotube-reinforced composite beam

  • Chaudhari, Virendra Kumar;Shegokar, Niranjan L.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
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    • 제4권5호
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    • pp.585-611
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    • 2017
  • This article covenants with the post buckling witticism of carbon nanotube reinforced composite (CNTRC) beam supported with an elastic foundation in thermal atmospheres with arbitrary assumed random system properties. The arbitrary assumed random system properties are be modeled as uncorrelated Gaussian random input variables. Unvaryingly distributed (UD) and functionally graded (FG) distributions of the carbon nanotube are deliberated. The material belongings of CNTRC beam are presumed to be graded in the beam depth way and appraised through a micromechanical exemplary. The basic equations of a CNTRC beam are imitative constructed on a higher order shear deformation beam (HSDT) theory with von-Karman type nonlinearity. The beam is supported by two parameters Pasternak elastic foundation with Winkler cubic nonlinearity. The thermal dominance is involved in the material properties of CNTRC beam is foreseen to be temperature dependent (TD). The first and second order perturbation method (SOPT) and Monte Carlo sampling (MCS) by way of CO nonlinear finite element method (FEM) through direct iterative way are offered to observe the mean, coefficient of variation (COV) and probability distribution function (PDF) of critical post buckling load. Archetypal outcomes are presented for the volume fraction of CNTRC, slenderness ratios, boundary conditions, underpinning parameters, amplitude ratios, temperature reliant and sovereign random material properties with arbitrary system properties. The present defined tactic is corroborated with the results available in the literature and by employing MCS.

부유식 해양구조물의 직접구조해석 시스템 개발 (Development of a Direct Structural Analysis System for Floating Type Ocean Structures)

  • 박성환;이정렬;임채환
    • 대한조선학회논문집
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    • 제35권3호
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    • pp.46-53
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    • 1998
  • 본 논문에서는 부유식 해양구조물의 보다 신뢰성 있고 정도 높은 구조안전성 평가를 위한 직접 구조해석시스템을 개발한다. 본 시스템은, 3차원 패널법에 기초한 강체운동해석 모듈, 자동하중변환기능(LOADGEN)과 범용 유한요소해석 프로그램(NASTRAN)이 결합된 구조해석 모듈, 그리고 장단기 스펙트럼해석에 기초한 통계해석 모듈 등의 3 주요모듈로 구성되어 있다. 본 논문에서는 시설계과정에 있는 PILOT 부유식 해상플랜트에 개발된 시스템을 적용하고, 그 결과를 2차원 스트립법에 기초한 해석결과에 비교/검토함으로써 본 해석법의 유용성을 확인하고자 한다.

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Structural reliability analysis using temporal deep learning-based model and importance sampling

  • Nguyen, Truong-Thang;Dang, Viet-Hung
    • Structural Engineering and Mechanics
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    • 제84권3호
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    • pp.323-335
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    • 2022
  • The main idea of the framework is to seamlessly combine a reasonably accurate and fast surrogate model with the importance sampling strategy. Developing a surrogate model for predicting structures' dynamic responses is challenging because it involves high-dimensional inputs and outputs. For this purpose, a novel surrogate model based on cutting-edge deep learning architectures specialized for capturing temporal relationships within time-series data, namely Long-Short term memory layer and Transformer layer, is designed. After being properly trained, the surrogate model could be utilized in place of the finite element method to evaluate structures' responses without requiring any specialized software. On the other hand, the importance sampling is adopted to reduce the number of calculations required when computing the failure probability by drawing more relevant samples near critical areas. Thanks to the portability of the trained surrogate model, one can integrate the latter with the Importance sampling in a straightforward fashion, forming an efficient framework called TTIS, which represents double advantages: less number of calculations is needed, and the computational time of each calculation is significantly reduced. The proposed approach's applicability and efficiency are demonstrated through three examples with increasing complexity, involving a 1D beam, a 2D frame, and a 3D building structure. The results show that compared to the conventional Monte Carlo simulation, the proposed method can provide highly similar reliability results with a reduction of up to four orders of magnitudes in time complexity.