• 제목/요약/키워드: Stochastic Finite element

검색결과 180건 처리시간 0.025초

Comparison of uniform and spatially varying ground motion effects on the stochastic response of fluid-structure interaction systems

  • Bilici, Yasemin;Bayraktar, Alemdar;Adanur, Suleyman
    • Structural Engineering and Mechanics
    • /
    • 제33권4호
    • /
    • pp.407-428
    • /
    • 2009
  • The effects of the uniform and spatially varying ground motions on the stochastic response of fluid-structure interaction system during an earthquake are investigated by using the displacement based fluid finite elements in this paper. For this purpose, variable-number-nodes two-dimensional fluid finite elements based on the Lagrangian approach is programmed in FORTRAN language and incorporated into a general-purpose computer program SVEM, which is used for stochastic dynamic analysis of solid systems under spatially varying earthquake ground motion. The spatially varying earthquake ground motion model includes wave-passage, incoherence and site-response effects. The effect of the wave-passage is considered by using various wave velocities. The incoherence effect is examined by considering the Harichandran-Vanmarcke and Luco-Wong coherency models. Homogeneous medium and firm soil types are selected for considering the site-response effect where the foundation supports are constructed. A concrete gravity dam is selected for numerical example. The S16E component recorded at Pacoima dam during the San Fernando Earthquake in 1971 is used as a ground motion. Three different analysis cases are considered for spatially varying ground motion. Displacements, stresses and hydrodynamic pressures occurring on the upstream face of the dam are calculated for each case and compare with those of uniform ground motion. It is concluded that spatially varying earthquake ground motions have important effects on the stochastic response of fluid-structure interaction systems.

Finite element model updating of in-filled RC frames with low strength concrete using ambient vibration test

  • Arslan, Mehmet Emin;Durmus, Ahmet
    • Earthquakes and Structures
    • /
    • 제5권1호
    • /
    • pp.111-127
    • /
    • 2013
  • This paper describes effects of infill walls on behavior of RC frame with low strength, including numerical modeling, modal testing and finite-element model updating. For this purpose full scaled, one bay and one story RC frame is produced and tested for plane and brick in-filled conditions. Ambient-vibration testis applied to identify dynamic characteristics under natural excitations. Enhanced Frequency Domain Decomposition and Stochastic Subspace Identification methods are used to obtain experimental dynamic characteristics. A numerical modal analysis is performed on the developed two-dimensional finite element model of the frames using SAP2000 software to provide numerical frequencies and mode shapes. Dynamic characteristics obtained by numerical and experimental are compared with each other and finite element model of the frames are updated by changing some uncertain modeling parameters such as material properties and boundary conditions to reduce the differences between the results. At the end of the study, maximum differences in the natural frequencies are reduced on average from 34% to 9% and a good agreement is found between numerical and experimental dynamic characteristics after finite-element model updating. In addition, it is seen material properties are more effective parameters in the finite element model updating of plane frame. However, for brick in-filled frame changes in boundary conditions determine the model updating process.

Modal testing and finite element model calibration of an arch type steel footbridge

  • Bayraktar, Alemdar;Altunisk, Ahmet Can;Sevim, Baris;Turker, Temel
    • Steel and Composite Structures
    • /
    • 제7권6호
    • /
    • pp.487-502
    • /
    • 2007
  • In recent decades there has been a trend towards improved mechanical characteristics of materials used in footbridge construction. It has enabled engineers to design lighter, slender and more aesthetic structures. As a result of these construction trends, many footbridges have become more susceptible to vibrations when subjected to dynamic loads. In addition to this, some inherit modelling uncertainties related to a lack of information on the as-built structure, such as boundary conditions, material properties, and the effects of non-structural elements make difficult to evaluate modal properties of footbridges, analytically. For these purposes, modal testing of footbridges is used to rectify these problems after construction. This paper describes an arch type steel footbridge, its analytical modelling, modal testing and finite element model calibration. A modern steel footbridge which has arch type structural system and located on the Karadeniz coast road in Trabzon, Turkey is selected as an application. An analytical modal analysis is performed on the developed 3D finite element model of footbridge to provide the analytical frequencies and mode shapes. The field ambient vibration tests on the footbridge deck under natural excitation such as human walking and traffic loads are conducted. The output-only modal parameter identification is carried out by using the peak picking of the average normalized power spectral densities in the frequency domain and stochastic subspace identification in the time domain, and dynamic characteristics such as natural frequencies mode shapes and damping ratios are determined. The finite element model of footbridge is calibrated to minimize the differences between analytically and experimentally estimated modal properties by changing some uncertain modelling parameters such as material properties. At the end of the study, maximum differences in the natural frequencies are reduced from 22% to only %5 and good agreement is found between analytical and experimental dynamic characteristics such as natural frequencies, mode shapes by model calibration.

확률유한요소법을 이용한 초고주파 수동소자의 2차원 해석 (The Two Dimensional Analysis of RF Passive Device using Stochastic Finite Element Method)

  • 김준연;정철용;이선영;천창렬
    • 대한전기학회논문지:전기물성ㆍ응용부문C
    • /
    • 제49권4호
    • /
    • pp.249-257
    • /
    • 2000
  • In this paper, we propose the use of stochastic finite element method, that is popularly employed in mechanical structure analysis, for more practical designing purpose of RF device. The proposed method is formulated based on the vector finite element method cooperated by pertubation analysis. The method utilizes sensitivity analysis algorithm with covariance matrix of the random variables that represent for uncertain physical quantities such as length or various electrical constants to compute the probabilities of the measure of performance of the structure. For this computation one need to know the variance and covariance of the random variables that might be determined by practical experiences. The presenting algorithm has been verified by analyzing several device with different be determined by practical experiences. The presenting algorithm has been verified by analysis several device with different measure of performanes. For the convenience of formulation, two dimensional analysis has been performed to apply it into waveguide with dielectric slab. In the problem the dielectric constant of the dielectric slab is considered as random variable. Another example is matched waveguide and cavity problem. In the problem, the dimension of them are assumed to be as random variables and the expectations and variances of quality factor have been computed.

  • PDF

Finite element model updating of Canton Tower using regularization technique

  • Truong, Thanh Chung;Cho, Soojin;Yun, Chung Bang;Sohn, Hoon
    • Smart Structures and Systems
    • /
    • 제10권4_5호
    • /
    • pp.459-470
    • /
    • 2012
  • This paper summarizes a study for the modal analysis and model updating conducted using the monitoring data obtained from the Canton Tower of 610 m tall, which was established as an international benchmark problem by the Hong Kong Polytechnic University. Modal properties of the tower were successfully identified using frequency domain decomposition and stochastic subspace identification methods. Finite element model updating using the measurement data was further performed to reduce the modal property differences between the measurements and those of the finite element model. Over-fitting during the model updating was avoided by using an optimization scheme with a regularization term.

몬테칼로 시뮬레이션기법을 이용한 지하암반동굴의 확률론적 유한요소해석 (Stochastic Finite Element Analysis of Underground Rock Cavern Using Monte Carlo Simulation Techinque)

  • 최규섭;심재구;정영수
    • 지질공학
    • /
    • 제5권3호
    • /
    • pp.301-308
    • /
    • 1995
  • 본 연구에서는 지하암반구조물의 해석시 재료특성변이를 확률론적으로 고려할 수 있는 수치해석기법을 제시하였다. 수치해석적 접근은 확률론적 해석분야에서 비교적 널리 사용 되어지고 있으며, 재료특성변수를 확률공간에서 분포특성과 분산형태에 따라 비교적 정확하게 추출할 수 있는 Monte Carlo 기법을 사용하였으며, 생성된 재료변수에 따른 변위와 응력의 계산과정은 유한요소법을 사용하였다.또한 본 연구 결과로부터 작성한 수치해석프로그램을 사용하여 2축응력장치에서의 지하원형암반공동에 대한 수치해석을 수행하였으며, 재료특성값의 분포특성변화에 따른 공동주변의 거동변화를 파악하였다.

  • PDF

평면요소의 확률론적 유한요소해석 모델의 개발 (Stochastic Finite Element Analysis Modeling of Plane Structure)

  • 윤성수;고재군
    • 한국농공학회지
    • /
    • 제35권3호
    • /
    • pp.91-99
    • /
    • 1993
  • The loads and resistances are random in nature. It Is thus necessary to consider these variabilities for more reasonable and reliable structural analysis. The purpose of the present study is to develop a stochastic finite element program which can analyze plane structures. The model requires only the means, standard deviations and distribution types of the load and resistance varualbes. This model can determine from the analysis the means and standard deviations of nodal displacement for all nodal points. The implemention results show good agreement at 10% significant level with the simulation results, if material properties and load conditions fallow the normal distribution.

  • PDF

Application of the first-order perturbation method to optimal structural design

  • Lee, Byung Woo;Lim, O Kaung
    • Structural Engineering and Mechanics
    • /
    • 제4권4호
    • /
    • pp.425-436
    • /
    • 1996
  • An application of the perturbation method to optimum structural design with random parameters is presented. It is formulated on the basis of the first-order stochastic finite element perturbation method. It also takes into full account the stress, displacement and eigenvalue constraints, together with the rates of change of the random variables. A method for calculating the sensitivity coefficients in regard to the governing equation and the first-order perturbed equation has been derived, by using a direct differentiation approach. A gradient-based nonlinear programming technique is used to solve the problem. The numerical results are specifically noted, where the stiffness parameter and external load are treated as random variables.

Probabilistic stability analysis of underground structure using stochastic finite element method

  • Na, Sang-Min;Moon, Hyun-Koo
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
    • /
    • pp.192-197
    • /
    • 2003
  • It can be said that rock mass properties are characterized not by a mean value but by values with variation due to its characteristic uncertainty. This characteristic is one of the most important parts for the design of underground structures, but yet to be fully examined. Stochastic finite element method (SFEM) has been developed in order to take the randomness of structural systems into account. Using SFEM, the response variability of structural system can be obtained and it leads probabilistic stability of structure to be analyzed. In this study, displacements response variability of circular opening with hydrostatic stress field are analyzed in terms of rock mass properties having a certain mean and a standard deviation using the SFEM. The analyzed response variability shows that the necessity of probabilistic stability analysis of underground structures using reliable mean value and standard deviation of deformation modulus.

  • PDF

다확률변수를 고려한 불확정 지하구조계의 확률론적 유한요소해석 (Stochastic Finite Element Analysis of Underground Structure Considering the Multi-Random Variables in the Physical Properties of Rock mass)

  • 최규섭;정영수;황신일
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
    • /
    • pp.173-181
    • /
    • 1996
  • In this study, a stochastic finite element model is proposed with a view to consider the uncertainty of physical properties of rock mass in the analysis of structural behavior on underground caverns. Here, the Latin Hypercube Sampling technique, in which can makeup weak points of the Monte Carlo Simulation, is applied for the analysis of underground cavern. The validity of the newly developed computer program has been confirmed in terms of verification examples. And, the applicability of the program to the field has been tested in terms of the analysis of the underground oil storage cavern in korea.

  • PDF