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Journal articles on the topic 'Spectral Stochastic Finite Element Method'

Author: Grafiati

Published: 6 September 2023

Last updated: 7 September 2023

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1

Honda, Riki, Ghanem Roger, and Michihiro KITAHARA. "Spectral Stochastic Finite Element Method for Log-Normal Uncertainty." Journal of applied mechanics 7 (2004): 391–98. http://dx.doi.org/10.2208/journalam.7.391.

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2

Gaignaire, R., S. Clnet, B. Sudret, and O. Moreau. "3-D Spectral Stochastic Finite Element Method in Electromagnetism." IEEE Transactions on Magnetics 43, no. 4 (April 2007): 1209–12. http://dx.doi.org/10.1109/tmag.2007.892300.

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3

Beddek, K., S. Clénet, O. Moreau, and Y. Le Menach. "Spectral stochastic finite element method for solving 3D stochastic eddy current problems." International Journal of Applied Electromagnetics and Mechanics 39, no. 1-4 (September 5, 2012): 753–60. http://dx.doi.org/10.3233/jae-2012-1539.

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4

Adhikari, Sondipon. "Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics." Journal of Aerospace Engineering 24, no. 3 (July 2011): 264–76. http://dx.doi.org/10.1061/(asce)as.1943-5525.0000070.

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5

Ghanem, R., and M. Pellissetti. "Adaptive data refinement in the spectral stochastic finite element method." Communications in Numerical Methods in Engineering 18, no. 2 (January 10, 2002): 141–51. http://dx.doi.org/10.1002/cnm.476.

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6

Lehikoinen, Antti. "Spectral Stochastic Finite Element Method for Electromagnetic Problems with Random Geometry." Electrical, Control and Communication Engineering 6, no. 1 (October 23, 2014): 5–12. http://dx.doi.org/10.2478/ecce-2014-0011.

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Abstract In electromagnetic problems, the problem geometry may not always be exactly known. One example of such a case is a rotating machine with random-wound windings. While spectral stochastic finite element methods have been used to solve statistical electromagnetic problems such as this, their use has been mainly limited to problems with uncertainties in material parameters only. This paper presents a simple method to solve both static and time-harmonic magnetic field problems with source currents in random positions. By using an indicator function, the geometric uncertainties are effectively reduced to material uncertainties, and the problem can be solved using the established spectral stochastic procedures. The proposed method is used to solve a demonstrative single-conductor problem, and the results are compared to the Monte Carlo method. Based on these simulations, the method appears to yield accurate mean values and variances both for the vector potential and current, converging close to the results obtained by time-consuming Monte Carlo analysis. However, further study may be needed to use the method for more complicated multi-conductor problems and to reduce the sensitivity of the method on the mesh used.

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Gaignaire, R., S. Clenet, O. Moreau, and B. Sudret. "Current Calculation in Electrokinetics Using a Spectral Stochastic Finite Element Method." IEEE Transactions on Magnetics 44, no. 6 (June 2008): 754–57. http://dx.doi.org/10.1109/tmag.2008.915801.

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8

Stavroulakis, G., D. G. Giovanis, V. Papadopoulos, and M. Papadrakakis. "A GPU domain decomposition solution for spectral stochastic finite element method." Computer Methods in Applied Mechanics and Engineering 327 (December 2017): 392–410. http://dx.doi.org/10.1016/j.cma.2017.08.042.

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9

Ghanem, R. "Higher-Order Sensitivity of Heat Conduction Problems to Random Data Using the Spectral Stochastic Finite Element Method." Journal of Heat Transfer 121, no. 2 (May 1, 1999): 290–99. http://dx.doi.org/10.1115/1.2825979.

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The spectral formulation of the stochastic finite element method is applied to the problem of heat conduction in a random medium. Specifically, the conductivity of the medium, as well as its heat capacity are treated as uncorrelated random processes with spatial random fluctuations. This paper introduces the basic concepts of the spectral stochastic finite element method using a simple one-dimensional heat conduction examples. The implementation of the method is demonstrated for both Gaussian and log-normal material properties. Moreover, the case of the material properties being modeled as random variables is presented as a simple digression of the formulation for the stochastic process case. Both Gaussian and log-normal models for the material properties are treated.

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10

Sousedík, Bedřich, and Howard C. Elman. "Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods." SIAM/ASA Journal on Uncertainty Quantification 4, no. 1 (January 2016): 163–89. http://dx.doi.org/10.1137/140999359.

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11

Hang, D. T., X. T. Nguyen, and D. N. Tien. "Stochastic Buckling Analysis of Non-Uniform Columns Using Stochastic Finite Elements with Discretization Random Field by the Point Method." Engineering, Technology & Applied Science Research 12, no. 2 (April 9, 2022): 8458–62. http://dx.doi.org/10.48084/etasr.4819.

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This study examined the discretization random field of the elastic modulus by a point method to develop a stochastic finite element method for the stochastic buckling of a non-uniform column. The formulation of stochastic analysis of a non-uniform column was constructed using the perturbation method in conjunction with the finite element method. The spectral representation was used to generate a random field to employ the Monte Carlo simulation for validation with a stochastic finite element approach. The results of the stochastic buckling problem of non-uniform columns with the random field of elastic modulus by comparing the first-order perturbation technique were in good agreement with those obtained from the Monte Carlo simulation. The numerical results showed that the response of the coefficient of variation of critical loads increased when the ratio of the correlation distance of the random field increased.

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12

Ghosh, Debraj. "Probabilistic Interpretation of Conjugate Gradient Iterations in Spectral Stochastic Finite Element Method." AIAA Journal 52, no. 6 (June 2014): 1313–16. http://dx.doi.org/10.2514/1.j052769.

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13

Sepahvand, K., and S. Marburg. "Spectral stochastic finite element method in vibroacoustic analysis of fiber-reinforced composites." Procedia Engineering 199 (2017): 1134–39. http://dx.doi.org/10.1016/j.proeng.2017.09.241.

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14

Giovanis, Dimitris G., Vissarion Papadopoulos, and George Stavroulakis. "An adaptive spectral Galerkin stochastic finite element method using variability response functions." International Journal for Numerical Methods in Engineering 104, no. 3 (April 27, 2015): 185–208. http://dx.doi.org/10.1002/nme.4926.

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15

Hussein, A., M. El-Tawil, W. El-Tahan, and A. A. Mahmoud. "Solution of randomly excited stochastic differential equations with stochastic operator using spectral stochastic finite element method (SSFEM)." Structural Engineering and Mechanics 28, no. 2 (January 30, 2008): 129–52. http://dx.doi.org/10.12989/sem.2008.28.2.129.

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16

Nguyen-Van, Thuan, and Thanh Bui-Tien. "Investigation of the Eigenvector of Stochastic Finite Element Methods of Functionally Graded Beams with Random Elastic Modulus." Engineering, Technology & Applied Science Research 13, no. 4 (August 9, 2023): 11253–57. http://dx.doi.org/10.48084/etasr.5991.

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This paper presents a stochastic finite element method to calculate the variation of eigenvalues and eigenvectors of functionally graded beams. The modulus of functionally graded material is assumed to have spatial uncertainty as a one-dimensional random field. The formulation of the stochastic finite element method for the functionally graded beam due to the randomness of the elastic modulus of the beam is given using the first-order perturbation approach. This approach was validated with Monte Carlo simulation in previous studies using spectral representation to generate the random field. The statistics of the beam responses were investigated using the first-order perturbation method for different fluctuations of the elastic modulus. A comparison of the results of the stochastic finite element method with the first-order perturbation approach and the Monte Carlo simulation showed a minimal difference.

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Chakraborty, Subrata, and Santi Sekhar Dey. "Stochastic Finite Element Simulation of Uncertain Structures Subjected to Earthquake." Shock and Vibration 7, no. 5 (2000): 309–20. http://dx.doi.org/10.1155/2000/730364.

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In present study, the stochastic finite element simulation based on the efficient Neumann expansion technique is extended for the analysis of uncertain structures under seismically induced random ground motion. The basic objective is to investigate the possibility of applying the Neumann expansion technique coupled with the Monte Carlo simulation for dynamic stochastic systems upto that extent of parameter variation after which the method is no longer gives accurate results compared to that of the direct Monte carlo simulation. The stochastic structural parameters are discretized by the local averaging method and then simulated by Cholesky decomposition of the respective covariance matrix. The earthquake induced ground motion is treated as stationary random process defined by respective power spectral density function. Finally, the finite element solution has been obtained in frequency domain utilizing the advantage of Neumann expansion technique.

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NAKAGAWA, Hidenori, and Muneo HORI. "APPLICATION OF NONLINEAR SPECTRAL STOCHASTIC FINITE ELEMENT METHOD TO SURFACE EARTHQUAKE FAULT PROBLEMS." Journal of Japan Society of Civil Engineers, Ser. A1 (Structural Engineering & Earthquake Engineering (SE/EE)) 67, no. 2 (2011): 225–41. http://dx.doi.org/10.2208/jscejseee.67.225.

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19

HONDA, Riki. "Analysis of Wave Propagation in Random Media by Spectral Stochastic Finite Element Method." Doboku Gakkai Ronbunshu, no. 689 (2001): 321–31. http://dx.doi.org/10.2208/jscej.2001.689_321.

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20

Zakian, P., and N. Khaji. "A stochastic spectral finite element method for wave propagation analyses with medium uncertainties." Applied Mathematical Modelling 63 (November 2018): 84–108. http://dx.doi.org/10.1016/j.apm.2018.06.027.

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21

Wu, Yuching, and Jianzhuang Xiao. "The Multiscale Spectral Stochastic Finite Element Method for Chloride Diffusion in Recycled Aggregate Concrete." International Journal of Computational Methods 15, no. 01 (September 27, 2017): 1750078. http://dx.doi.org/10.1142/s0219876217500785.

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In this study, the multiscale stochastic finite element method (MsSFEM) was developed based on a novel digital image kernel to make analysis for chloride diffusion in recycled aggregate concrete (RAC). It is significant to study the chloride diffusivity in RAC, because when RAC was applied in coastal areas, chloride-induced rebar corrosion became a common problem for concrete infrastructures. The MsSFEM was an efficient tool to examine the effect of microscopic randomness of RAC on the chloride diffusivity. Based on the proposed digital image kernel, the Karhunen–Loeve expansion and the polynomial chaos were used in the stochastic homogenization process. To investigate advantages and disadvantages of both generation and application of the proposed digital image kernel, it was compared with many other kernels. The comparisons were made between the method to develop the digital image kernel, which is called the pixel-matrix method, and other methods, and between the application of the kernel and various other kernels. It was shown that the proposed digital image kernel is superior to other kernels in many aspects.

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22

Appalanaidu, Y., Anindya Roy, and Sayan Gupta. "Stochastic Creep Damage Estimation in Pipings with Spatial Non-gaussian Uncertainties Using Spectral Stochastic Finite Element Method." Procedia Engineering 86 (2014): 677–84. http://dx.doi.org/10.1016/j.proeng.2014.11.069.

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23

Khaji, N., and P. Zakian. "Uncertainty analysis of elastostatic problems incorporating a new hybrid stochastic-spectral finite element method." Mechanics of Advanced Materials and Structures 24, no. 12 (December 21, 2016): 1030–42. http://dx.doi.org/10.1080/15376494.2016.1202359.

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24

Beddek, Karim, Yvonnick Le Menach, Stephane Clenet, and Olivier Moreau. "3-D Stochastic Spectral Finite-Element Method in Static Electromagnetism Using Vector Potential Formulation." IEEE Transactions on Magnetics 47, no. 5 (May 2011): 1250–53. http://dx.doi.org/10.1109/tmag.2010.2076274.

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25

Ngah, M. F., and A. Young. "Application of the spectral stochastic finite element method for performance prediction of composite structures." Composite Structures 78, no. 3 (May 2007): 447–56. http://dx.doi.org/10.1016/j.compstruct.2005.11.009.

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26

Ta Duy, Hien, Nguyen Dang Diem, Giap Van Tan, Vu Van Hiep, and Nguyen Van Thuan. "Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus." Engineering, Technology & Applied Science Research 13, no. 1 (February 5, 2023): 9985–90. http://dx.doi.org/10.48084/etasr.5456.

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This paper deals with a continuous beam resting on elastic support with elastic modulus derived from a random process. Governing equations of the stochastic higher-order finite element method of the free vibration of the continuous beam were derived from Hamilton's principle. The random process of elastic modulus was discretized by averaging random variables in each element. A solution for the stochastic eigenvalue problem for the free vibration of the continuous beam was obtained by using the perturbation technique, in conjunction with the finite element method. Spectral representation was used to generate a random process and employ the Monte Carlo simulation. A good agreement was obtained between the results of the first-order perturbation technique and the Monte Carlo simulation.

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27

Farah, Khaled, Mounir Ltifi, and Hedi Hassis. "A Study of Probabilistic FEMs for a Slope Reliability Analysis Using the Stress Fields." Open Civil Engineering Journal 9, no. 1 (May 14, 2015): 196–206. http://dx.doi.org/10.2174/1874149501509010196.

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In this paper, the applicability and the effectiveness of the probabilistic finite element methods (FEMs) such as the perturbation method, and the Spectral Stochastic Finite Element Method (SSFEM) applied to the reliability analysis of the slope stability have been studied. The results were checked by the Monte Carlo simulation and a direct coupling ap-proach combining the deterministic finite elements code and First Order Reliability Method (FORM) algorithm. These methods are presented considering the spatial variation of soil strength parameters and Young modulus. The random field is used to describe the spatial variation. Also, the reliability analysis is conducted using a performance function formulat-ed in terms of the stochastic stress mobilized along the sliding surface. The present study shows that the perturbation method and SSFEM can be considered as practical methods to conduct a second moment analysis of the slope stability taking into account the spatial variability of soil properties since good results are obtained with acceptable estimated rela-tive errors. Finally, the perturbation method is performed to delimit the location of the critical probabilistic sliding surfac-es and to evaluate the effect of the correlation length of soil strength parameters on the safety factor. In addition, the two methods are used to estimate the probability density and the cumulative distribution function of the factor of safety.

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28

Ben Souf, Mohamed Amine, Mohamed Ichchou, Olivier Bareille, Noureddine Bouhaddi, and Mohamed Haddar. "Dynamics of random coupled structures through the wave finite element method." Engineering Computations 32, no. 7 (October 5, 2015): 2020–45. http://dx.doi.org/10.1108/ec-08-2014-0173.

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Purpose – The purpose of this paper is to develop a new formulation using spectral approach, which can predict the wave behavior to uncertain parameters in mid and high frequencies. Design/methodology/approach – The work presented is based on a hybridization of a spectral method called the “wave finite element (WFE)” method and a non-intrusive probabilistic approach called the “polynomial chaos expansion (PCE).” The WFE formulation for coupled structures is detailed in this paper. The direct connection with the conventional finite element method allows to identify the diffusion relation for a straight waveguide containing a mechanical or geometric discontinuity. Knowing that the uncertainties play a fundamental role in mid and high frequencies, the PCE is applied to identify uncertainty propagation in periodic structures with periodic uncertain parameters. The approach proposed allows the evaluation of the dispersion of kinematic and energetic parameters. Findings – The authors have found that even though this approach was originally designed to deal with uncertainty propagation in structures it can be competitive with its low time consumption. The Latin Hypercube Sampling (LHS) is also employed to minimize CPU time. Originality/value – The approach proposed is quite new and very simple to apply to any periodic structures containing variabilities in its mechanical parameters. The Stochastic Wave Finite Element can predict the dynamic behavior from wave sensitivity of any uncertain media. The approach presented is validated for two different cases: coupled waveguides with and without section modes. The presented results are verified vs Monte Carlo simulations.

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29

Wu, Yuching, and Jianzhuang Xiao. "Digital-Image-Driven Stochastic Homogenization for Recycled Aggregate Concrete Based on Material Microstructure." International Journal of Computational Methods 16, no. 07 (July 26, 2019): 1850104. http://dx.doi.org/10.1142/s0219876218501049.

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In this paper, a digital-image-driven stochastic homogenization method is developed to analyze elastic heterogeneous media such as recycled aggregate concrete (RAC), etc. This linking can be accomplished in an efficient manner by exploiting the excellent synergy of finite pixel-element method and Monte Carlo simulation for the computation of the effective properties of the random five-phase composite. The pixel-point discretization of system geometry is used for the approximation of the mechanical response of the elastic heterogeneous microstructure. Using nanoindentation technique and scanning electron microscopy, tens of digital images of modulus map of the five-phase heterogeneous material are made. Using the moving window technique and the Monte Carlo method, the random elastic moduli of the five phases at micro-scale are obtained. Then the effective elastic modulus of the meso-scale representative volume element (RVE) is computed based on spectral stochastic finite element method. Finally, the effective modulus is used to analyze the global behavior of RVE at macro-scale. Then the finite pixel-element method is used to investigate the effect of microscopic covariance noise on the global material properties, as well as the computational efficiency. The results show that the digital image method is an accurate and efficient tool to investigate the random material properties across scales.

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30

NAKAGAWA, Hidenori, and Muneo HORI. "Analysis of Ground Surface Deformation Caused by Strike-Slip Fault Using Spectral Stochastic Finite Element Method." Journal of applied mechanics 5 (2002): 573–80. http://dx.doi.org/10.2208/journalam.5.573.

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31

Zakian, P., and N. Khaji. "A novel stochastic-spectral finite element method for analysis of elastodynamic problems in the time domain." Meccanica 51, no. 4 (July 24, 2015): 893–920. http://dx.doi.org/10.1007/s11012-015-0242-9.

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32

Nouy, Anthony. "Generalized spectral decomposition method for solving stochastic finite element equations: Invariant subspace problem and dedicated algorithms." Computer Methods in Applied Mechanics and Engineering 197, no. 51-52 (October 2008): 4718–36. http://dx.doi.org/10.1016/j.cma.2008.06.012.

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33

Ghanem, R. "The Nonlinear Gaussian Spectrum of Log-Normal Stochastic Processes and Variables." Journal of Applied Mechanics 66, no. 4 (December 1, 1999): 964–73. http://dx.doi.org/10.1115/1.2791806.

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A procedure is presented in this paper for developing a representation of lognormal stochastic processes via the polynomial chaos expansion. These are processes obtained by applying the exponential operator to a gaussian process. The polynomial chaos expansion results in a representation of a stochastic process in terms of multidimensional polynomials orthogonal with respect to the gaussian measure with the dimension defined through a set of independent normalized gaussian random variables. Such a representation is useful in the context of the spectral stochastic finite element method, as well as for the analytical investigation of the mathematical properties of lognormal processes.

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34

NAKAGAWA, Hidenori. "APPLICATION OF NONLINEAR STOCHASTIC FINITE ELEMENT METHOD BASED ON NON-INTRUSIVE SPECTRAL PROJECTION SCHEME TO FINITE DEFORMATION ELASTO-PLASTIC PROBLEMS." Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 76, no. 1 (2020): 7–21. http://dx.doi.org/10.2208/jscejam.76.1_7.

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35

Beavers, J., K. Huddleston, N. Hines, and W. McNeil. "Modeling electron transport and multiplication in photomultiplier tubes using COMSOL Multiphysics^®." Journal of Instrumentation 17, no. 12 (December 1, 2022): P12015. http://dx.doi.org/10.1088/1748-0221/17/12/p12015.

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Abstract Combining stochastic and finite element methods, a modeling approach was executed that will inform new photomultiplier tube and scintillation detector designs. Time-dependent signal formation within a commercially available photomultiplier tube was modeled including the release and transport of electrons from the photocathode through the dynode stages. An ET Enterprises 9214B photomultiplier tube was digitally reproduced using Computed Tomography, X-ray radiography, and SolidWorks solid-modeling software. Simulations were executed with COMSOL Multiphysics® finite element solving package. Stochastic models of electron emission from the photocathode and dynodes were integrated within the COMSOL framework. Photoelectron emission energy was modeled by combining NaI(Tl) spectral emission characteristics and K2CsSb photocathode quantum efficiency. Secondary electron emission yields were produced to follow nominal photomultiplier gain, while secondary electron energies were sampled from the Chung-Everhart distribution. Electron emission trajectories were sampled according to Lambert's cosine law. Coupling stochastic and finite element models, simulation reproduced signal formation for the commercial photomultiplier tube including timing characteristics within 9.5% and gain within 3% over a voltage range of 900–1250 V.

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36

NAKAGAWA, Hidenori. "FUNDAMENTAL RESEARCH OF NONLINEAR SPECTRAL STOCHASTIC FINITE ELEMENT METHOD USING NISP APPROACH TO COMPUTE THE TANGENT STIFFNESS MATRIX." Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 72, no. 2 (2016): I_167—I_177. http://dx.doi.org/10.2208/jscejam.72.i_167.

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37

Oudni, Zehor, Mouloud Féliachi, and Hassane Mohellebi. "Assessment of the probability of failure for EC nondestructive testing based on intrusive spectral stochastic finite element method." European Physical Journal Applied Physics 66, no. 3 (June 2014): 30904. http://dx.doi.org/10.1051/epjap/2014130494.

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38

Varghese Mathew, Tittu, Jayamanideep Rebbagondla, and Sundararajan Natarajan. "An extended stochastic pseudo‐spectral Galerkin finite element method (XS‐PS‐GFEM) for elliptic equations with hybrid uncertainties." International Journal for Numerical Methods in Engineering 121, no. 19 (July 27, 2020): 4329–46. http://dx.doi.org/10.1002/nme.6433.

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Zhen, Chunbo, Tianlin Wang, Pengyao Yu, and Liang Feng. "Fatigue Strength Assessment of Trimaran Cross-Deck Structure Based on Spectral and Simplified Fatigue Method." Mathematical Problems in Engineering 2019 (May 26, 2019): 1–13. http://dx.doi.org/10.1155/2019/6121584.

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In order to investigate the fatigue behaviour of trimaran cross-deck structural details, the spectral and simplified fatigue analysis approaches are proposed. In spectral fatigue approach, three-dimensional (3D) linear potential flow theory and global FE analysis are used for wave loads and stress transfer functions calculation; the stochastic spectral fatigue analysis is carried out considering the weighted wave headings factors. In simplified fatigue approach, based on the direct calculation procedure of LR rules, the evaluation of simplified fatigue loads and loading conditions are presented, and the stress ranges are obtained by global finite element (FE) analysis. Then the fatigue lives of a few hot spots are computed to demonstrate the application of the proposed method. The result shows that the method given in this paper has a good applicability. This study offers methodology for the fatigue analysis of trimaran cross-deck structure, which may be regarded as helpful references for structural design of these types of ships.

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40

Beresnev, Igor A., and Gail M. Atkinson. "Stochastic finite-fault modeling of ground motions from the 1994 Northridge, California, earthquake. I. Validation on rock sites." Bulletin of the Seismological Society of America 88, no. 6 (December 1, 1998): 1392–401. http://dx.doi.org/10.1785/bssa0880061392.

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Abstract The stochastic method of simulating ground motions from finite faults is validated against strong-motion data from the M 6.7 1994 Northridge, California, earthquake. The finite-fault plane is subdivided into elements, each element is assigned a stochastic ω2 spectrum, and the delayed contributions from all subfaults are summed in the time domain. Simulated horizontal acceleration time histories and Fourier spectra at 28 rock sites are compared with observations. We first perform simulations using the slip distribution on the causative fault derived from strong-motion, teleseismic, GPS, and leveling data (Wald et al., 1996). We then test the performance of the method using quasi-random distributions of slip and alternative hypocenter locations; this is important because the rupture initiation point and slip distribution are in general not known for future earthquakes. The model bias is calculated as the ratio of the simulated to the observed spectrum in the frequency band of 0.1 to 12.5 Hz, averaged over a suite of rock sites. The mean bias is within the 95% confidence limits of unity, showing that the model provides an accurate prediction of the spectral content of ground motions on average. The maximum excursion of the model bias from the unity value, when averaged over all 28 rock stations, is a factor of approximately 1.6; at most frequencies, it is below a factor of 1.4. Interestingly, the spectral bias and the standard deviation of the stochastic simulations do not depend on whether the fault slip distribution and hypocenter location are based on data or are randomly generated. This suggests that these parameters do not affect the accuracy of predicting the average characteristics of ground motion, or they may have their predominant effect in the frequency range below about 0.1 Hz (below the range of this study). The implication is that deterministic slip models are not necessary to produce reasonably accurate simulations of the spectral content of strong ground motions. This is fortunate, because such models are not available for forecasting motions from future earthquakes. However, the directivity effects controlled by the hypocenter location are important in determining peak ground acceleration at individual sites. Although the method is unbiased when averaged over all rock sites, the simulations at individual sites can have significant errors (generally a factor of 2 to 3), which are also frequency dependent. Factors such as local geology, site topography, or basin-propagation effects can profoundly affect the recordings at individual stations. To generate more accurate site-specific predictions, empirical responses at each site could be established.

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41

Suryawanshi, Anup, and Debraj Ghosh. "A semi-intrusive stochastic perturbation method for lift prediction and global sensitivity analysis." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 31, no. 3 (August 2017): 277–85. http://dx.doi.org/10.1017/s0890060417000178.

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AbstractSensitivity analysis plays an important role in finding an optimal design of a structure under uncertainty. Quantifying relative importance of random parameters, which leads to a rank ordering, helps in developing a systematic and efficient way to reach the optimal design. In this work, lift prediction and sensitivity analysis of a potential flow around a submerged body is considered. Such flow is often used in the initial design stage of structures. The flow computation is carried out using a vortex-panel method. A few parameters of the submerged body and flow are considered as random variables. To improve the accuracy in lift prediction in a computationally efficient way, a new semi-intrusive stochastic perturbation method is proposed. Accordingly, a perturbation is applied at the linear system solving level involving the inuence coefficient matrix, as opposed to using perturbation in the lift quantity itself. This proposed method, which is partially analogous to the intrusive or Galerkin projection methods in spectral stochastic finite element methods, is found to be more accurate than using perturbation directly on the lift and faster than a direct simulation. The proposed semi-intrusive stochastic perturbation method is found to yield faster estimates of the Sobol’ indices, which are used for global sensitivity analysis. From global sensitivity analysis, the flow parameters are found to be more important than the parameters of the submerged body.

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42

Zakian, P., and N. Khaji. "A stochastic spectral finite element method for solution of faulting-induced wave propagation in materially random continua without explicitly modeled discontinuities." Computational Mechanics 64, no. 4 (March 16, 2019): 1017–48. http://dx.doi.org/10.1007/s00466-019-01692-5.

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Louis, A., Murdjito, and N. Syahroni. "Fatigue Life Analysis on The Local Construction Near the Chain Stopper Area of Papa Terminal Floating Storage Offloading (FSO) With 4X2 Chain Line Spread Mooring Configuration." IOP Conference Series: Earth and Environmental Science 1166, no. 1 (May 1, 2023): 012029. http://dx.doi.org/10.1088/1755-1315/1166/1/012029.

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Abstract This research aims to determine the fatigue life of the structure near the chain stopper of a storage tanker using the spectral fatigue analysis method. The wave spectrum is developed based on six significant wave height and period variations from the site wave scatter data using a modified spectrum of JONSWAP. The stress analysis is carried out using finite element analysis software. It can then be processed into Stress RAO from each loading direction. The response spectra are generated from the wave spectrum, multiplying with the square of the Stress RAO. These response spectra will determine the stochastic values of each stress range variation in obtaining the number of cycles that occur in each variation (nL). The accumulation of each ratio obtained from all existing variations will produce a fatigue index value (D). The American Bureau of Shipping’s S-N curve D-Class is used in this fatigue life analysis. The Gamkonora Aframax tanker operated as a temporary storage tanker at Papa’s field area is used as the case of this study.

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Miguel, Fadel Letícia F., Fadel Leandro F. Miguel, and Kern C. A. Thomas. "Theoretical and experimental modal analysis of a cantilever steel beam with a tip mass." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 7 (March 30, 2009): 1535–41. http://dx.doi.org/10.1243/09544062jmes1390.

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The need of a better understanding of the dynamic behavior of systems has been showing the importance of the use of reliable methods to determine modal properties through the knowledge of output-only measurements. This article begins describing the theoretical bases of an efficient method for output-only system identification and an application example is demonstrated further. The studied system is a steel cantilever beam with a tip mass, which was tested at the Group of Applied Mechanics/Federal University of Rio Grande do Sul. Through free vibration tests, the response of the beam is acquired, and using the stochastic subspace system identification method (SSI), its dynamic properties are determined. Next, the beam is analysed by finite-element method and also through the theory of vibrations of continuous systems, determining its spectral properties. Thus, the results obtained through SSI are compared with the numerical and theoretical results, showing that the dynamic properties obtained through the procedure of system identification are reliable.

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Socha, L. "Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory." Applied Mechanics Reviews 58, no. 3 (May 1, 2005): 178–205. http://dx.doi.org/10.1115/1.1896368.

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The purpose of Part 1 of this paper is to provide a review of recent results from 1991 through 2003 in the area of theoretical aspects of statistical and equivalent linearization in the analysis of structural and mechanical nonlinear stochastic dynamic systems. First, a discussion about misunderstandings appearing in the literature in derivation of linearization coefficients for mean-square linearization criterion is presented. In Secs. 3–6 new theoretical results, including new types of criteria, nonlinearities, and excitations in the context of linearization methods, are reviewed. In particular, moment criteria called energy criteria, linearization criteria in the space of power spectral density functions and probability density functions are discussed. A survey of a wide class of so-called nonlinearization techniques, including equivalent quadratization and equivalent cubicization methods, is given in Sec. 7. New linearization techniques for nonlinear stochastic systems with parametric Gaussian excitations and external non-Gaussian excitations are discussed in Secs. 8 and 9, respectively. In the last sections, four surveys of papers where stochastic linearization is used as a mathematical tool in other theoretical approaches, namely, models of dynamic systems with hysteresis, finite element method, and control of nonlinear stochastic systems and linearization with sensitivity analysis, are given. A discussion of the accuracy analysis of linearization techniques and some general conclusions close this paper. There are 217 references cited in this revised article.

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Zhang, Xueming, Weiming Yan, Haoxiang He, Yunlun Sun, and Shicai Chen. "Generation of Uniform Hazard Spectrum Based on the Stochastic Method of Simulating Ground Motion and Its Use in Nuclear Power Plants." Advances in Civil Engineering 2018 (December 20, 2018): 1–12. http://dx.doi.org/10.1155/2018/6037863.

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To obtain an accurate uniform hazard spectrum (UHS), this paper proposes combining a stochastic simulation with probabilistic seismic hazard analysis. The stochastic method fully accounts for the effect of the source mechanism, path, and site effect. Historical ground motions in the site specific to the nuclear power plant (NPP) are simulated, and a UHS with an equal exceeding probability is proposed. To compare the seismic performance of the NPP under different ground motions generated by the existing site spectrum (SL-2), the UHS generated by the safety evaluation report, and the US RG1.60 spectrum, respectively, a three-dimensional finite element model is established, and dynamic analysis is performed. Results show that the structural responses to different spectra varied; the UHS response was slightly larger than that of RG1.60. This finding is relatively more reasonable than prior research results. The UHS generated using the stochastic simulation method can provide a reference for the seismic design of NPPs.

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Zafarani, Hamid, Hesam Vahidifard, and Anooshirvan Ansari. "Prediction of Broadband Ground-Motion Time Histories: The Case of Tehran, Iran." Earthquake Spectra 29, no. 2 (May 2013): 633–60. http://dx.doi.org/10.1193/1.4000150.

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The northern Tehran fault (NTF) is potentially capable of causing large earth-quakes (Mmax ~ 7.2) in a very densely populated area of northern Tehran, Iran. Due to the lack of recorded strong motion data for earthquakes on the fault, a hybrid simulation method is used to calculate broadband (0.1–20 Hz) ground-motion time histories at bedrock level for deterministic earthquake scenarios on the NTF. Low-frequency components of motion (0.1–1.0 Hz) are calculated using a deterministic approach and the discrete wave number-finite element method in a regional one-dimensional (1-D) velocity model. High frequencies (1.0–20.0 Hz) are calculated by the stochastic finite fault method based on dynamic corner frequency. The results were validated by comparing the simulated peak values and response spectra with the empirical ground motion models available for the area and the Modified Mercalli intensity (MMI) observations from historical earthquakes of the region.

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Pan, Haoran, Jiurong Wu, and Jiyang Fu. "Monitoring of Wind Effects on a Super-Tall Building under a Typhoon." Buildings 13, no. 1 (December 25, 2022): 47. http://dx.doi.org/10.3390/buildings13010047.

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Field measurements are critical to further understand the structural behavior of super-tall buildings under strong wind actions. This paper presents field measurements that reflect the wind characteristics and wind effects on Leatop Plaza under Typhoon Vicente. Wind field characteristics, including the turbulence intensity, gust factor, and power spectral density of wind speed in an urban area, were obtained on the basis of a statistical analysis of measured wind data. Subsequently, measured wind-induced accelerations were used to evaluate the dynamic characteristics of the building and the effects of wind on it. On the basis of the first several modes, the modal properties, i.e., the natural frequency and damping ratio, were identified via the fast Bayesian fast Fourier transform method and compared with those identified using the stochastic subspace method. The discrepancy between the identified results and finite element model predictions is presented and discussed. Finally, the variation in the modal parameters with respect to time and the vibration amplitude was analyzed while considering the associated posterior uncertainty.

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Zhu, Siyu, and Yongle Li. "Random Characteristics of Vehicle-Bridge System Vibration by an Optimized Pseudo Excitation Method." International Journal of Structural Stability and Dynamics 20, no. 05 (May 2020): 2050069. http://dx.doi.org/10.1142/s0219455420500698.

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The pseudo excitation method (PEM) is improved for its efficiency by incorporating the self-adaptive Gauss integration (SGI) technology as a new combining integration. The PEM can transform the random rail irregularities into some pseudo harmonic excitation, which is a mature approach to deal with the random excitation for vehicle–bridge systems. The SGI was used to distinguish the significant from the insignificant parts of an integral section for the random excitation frequency on the stochastic response of the system, thereby reducing the computational effort required for the random vibration analysis of the system. Also, the SGI can intelligently handle the recognized integral section, by subdividing the important sections into several necessary frequency points, making rough decomposition, and allowing the unimportant regions to be eliminated. Based on selected frequency points, the deterministic pseudo harmonic excitations were generated, and then the standard deviation (SD) of the time history for the system was calculated by the PEM. The vehicle subsystem was simulated as a 23-degree of freedom model, and the bridge subsystem as a three-dimensional finite element model. The time-varying power spectral density (PSD) plots of the system were presented. Besides, the cumulative distribution function (CDF) of the response was calculated using Poisson’s crossing assumption. The random characteristics for the vehicle–bridge vibrations for different speeds and rail irregularities were calculated.

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Li, Zhi, Jiyang Fu, Yuncheng He, Zhen Liu, Jiurong Wu, Rui Rao, and Ching-Tai Ng. "Structural Responses of a Supertall Building Subjected to a Severe Typhoon at Landfall." Applied Sciences 10, no. 8 (April 24, 2020): 2965. http://dx.doi.org/10.3390/app10082965.

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Typhoon Mangkhut (1822) was one of the strongest tropical cyclones that ever impacted the south coast of China in past decades. During the passage of this typhoon, the structural health monitoring (SHM) system installed on a 303 m high building in this region worked effectively, and high-quality field measurements at nine height levels of the building were collected successfully, which provides a valuable opportunity to explore the dynamic properties of the building and the associated wind effects. In this study, the typhoon wind characteristics are presented first based on in-situ measurements at two sites. Acceleration responses of the building is then investigated, and the building’s serviceability is assessed against several comfort criteria. This study further focuses on the identification of modal parameters (i.e., natural frequency, damping ratio, and modal shape) via two methods: stochastic subspace identification (SSI) method and a method based on combined use of spectral analysis and random decrement technique (RDT). The good agreement between the two results demonstrates the effectiveness and the accuracy of the adopted methods. The obtained results are further compared with the stipulations in several technical codes as well as simulation results via finite element method to examine their performances in this real case. The amplitude dependence of natural frequencies and damping ratios of the studied building are also stressed.

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