Article
Engineering, Mechanical
Ming-Na Tong, Yan-Gang Zhao, Zhao Zhao
Summary: A novel method combining Karhunen-Lo & egrave;ve expansion with L-moments-based Hermite polynomial model is proposed for simulating strongly non-Gaussian and non stationary processes. The method effectively transforms non-Gaussian processes into Gaussian processes and addresses incompatibilities that may occur in strongly non-Gaussian processes.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Engineering, Mechanical
Fengbo Wu, Min Liu, Guoqing Huang, Liuliu Peng, Zengwei Guo, Yan Jiang
Summary: This paper proposes a novel PJTM-based simulation method by applying the newly defined statistical moments to the moment-based JTM. The method improves the simulation accuracy and efficiency by utilizing a set of close-form formulas to estimate the parameters of PJTM and developing an analytical formula to determine the correlation distortion relationship. Experimental results show that the proposed PJTM method outperforms both JTM and moment-based piecewise HPM in terms of simulation efficiency and accuracy.
PROBABILISTIC ENGINEERING MECHANICS
(2022)
Article
Engineering, Mechanical
Zhao Zhao, Zhao-Hui Lu, Yan-Gang Zhao
Summary: This paper proposes a novel simulation method for the reliability evaluation of long span structures, considering the spatial variation and non-Gaussianity of input excitations. The method is based on the wavenumber-frequency spectrum and unified Hermite polynomial model, and it transforms the non-Gaussian data into underlying Gaussian data within an applicable range, while providing corresponding remedies for incompatibility issues.
PROBABILISTIC ENGINEERING MECHANICS
(2022)
Article
Engineering, Mechanical
Zhibao Zheng, Hongzhe Dai, Yuyin Wang, Wei Wang
Summary: This paper introduces a new numerical scheme for simulating stochastic processes based on their specified marginal distribution functions and covariance functions. By generating stochastic samples to meet target marginal distribution functions and using an iterative algorithm to match the simulated covariance function to the target, the proposed method can accurately represent stochastic samples in series forms. The approach is applicable to non-stationary non-Gaussian stochastic processes and is demonstrated through three examples to be accurate and efficient.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Construction & Building Technology
Haicheng Zhang, Qiang Zhou, Ming Li, Mingshui Li, Jingkai Xie
Summary: A novel piecewise Johnson transformation model (PJTM) is proposed to enhance the accuracy and efficiency of the estimation of non-Gaussian peak factor. The proposed PJTM, derived from the analytical formula of the unbounded system (SU system) and the semi-analytical formula of the bounded system (SB system), is applied to estimate the peak factors of non-Gaussian wind pressures on a long-span roof. The results show that the proposed PJTM has superior accuracy and efficiency compared to the commonly used models.
JOURNAL OF BUILDING ENGINEERING
(2023)
Article
Engineering, Mechanical
Ying Zhang, Wei Qu, He Zhang, Tao Qian
Summary: This paper proposes the adaptive Fourier decomposition (AFD) type methods to solve the two-match problem, which is to simultaneously meet a given marginal distribution condition and be compatible with a given covariance function. The AFD-Type methods offer flexibility and efficiency, and can be applied to various stochastic processes.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Zhengliang Li, Runyu Liu, Wenliang Fan, Alfredo H. -S. Ang
Summary: A new model is proposed to represent and simulate Gaussian/non-Gaussian stochastic processes using stochastic harmonic functions and Mehler's formula. The model efficiently generates Gaussian/non-Gaussian processes and is demonstrated through numerical examples.
PROBABILISTIC ENGINEERING MECHANICS
(2021)
Review
Mathematics
Guo-Qiang Cai, Ronghua Huan, Weiqiu Zhu
Summary: This paper systematically presents three methods to generate two correlated stationary Gaussian processes, including the method of linear filters, the method of series expansion with random amplitudes, and the method of series expansion with random phases. These methods aim to match the power spectral density for each process with different levels of correlation information. The advantages and disadvantages of each method are discussed.
Article
Engineering, Mechanical
Xin Li, Shaopeng Li, Yan Jiang, Yi Su
Summary: In this study, a new higher-order spectral representation method (HOSRM) is proposed to accurately simulate fourth-order non-Gaussian random processes. The HOSRM allows for the generation of sample functions that accurately reflect the statistical properties of the target sample functions. A three-dimensional Hermite interpolation method is also proposed to improve the simulation efficiency. The results demonstrate the accuracy and effectiveness of the HOSRM in generating fourth-order non-Gaussian random processes.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Mathematics
Le Ngoc Cuong, Nguyen Quang Dieu, Phung Van Manh
Summary: This paper constructs a set of explicit differential operators that are evaluated at a singular point on a quadratic hypersurface, providing a divisibility criterion. The result is then utilized to collect interpolation conditions at distinct points, yielding new regular Hermite interpolation schemes in Rn.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
(2023)
Article
Engineering, Mechanical
Zhao Zhao, Zhao-Hui Lu, Chun-Qing Li, Yan-Gang Zhao
Summary: The paper proposes an analytical solution for calculating the mean upcrossing rate of non-stationary non-Gaussian responses, which is applicable to a wide range of structural responses including asymmetric and hardening or softening responses. The method allows for determining extreme value distribution or probability of exceedance for structural responses, with three numerical examples provided to demonstrate its efficiency and accuracy. The proposed method provides an accurate and useful tool for dynamic reliability assessment in engineering applications.
PROBABILISTIC ENGINEERING MECHANICS
(2021)
Article
Mathematics, Applied
Hernan D. Centeno, Juan M. Medina
Summary: This paper establishes a necessary and sufficient condition for a Gabor system to be an L-2(R)-frame in terms of Gaussian stationary random processes, based on the Ergodic Theorem. Density conditions for associated stationary sequences in relation to a wide sense stationary random process are also investigated.
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
(2022)
Article
Engineering, Mechanical
Takahiro Tsuchida, Koji Kimura
Summary: This paper presents an approximate analytical method to obtain the stationary response probability density and mean upcrossing rate for a linear system under non-Gaussian random excitation. The method first utilizes the equivalent non-Gaussian excitation method to derive a closed set of moment equations for the system response, and then calculates the exact solutions of response moments up to the fourth order from these equations. The proposed method demonstrates its effectiveness by comparing the analytical results with Monte Carlo simulation results for linear systems under random excitations with different probability densities.
PROBABILISTIC ENGINEERING MECHANICS
(2023)
Article
Automation & Control Systems
Mattia Zorzi
Summary: This article examines the optimal transport problem between multivariate Gaussian stationary stochastic processes, introducing the concept of transportation effort as the variance of the filtered discrepancy process. The main contribution is demonstrating that the solution leads to a weighted Hellinger distance between multivariate power spectral densities, and proposing a spectral estimation method based on this distance in the case of indirect measurements.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Mathematics, Applied
Song-Ping Yang, Ri-Qing Su, Zhi-Wei Wang, Yu Chen
Summary: A new approach is proposed to analyze the non-Gaussian random vibration of a hyperbolic tangent package. The vibration noise with specified mean, variance, skewness, and kurtosis is developed and verified. The acceleration response of the system under non-Gaussian vibration excitation is investigated, and the effects of external excitation and system parameters are analyzed. Furthermore, a reliability analysis method is introduced based on the first-passage probability of the acceleration response, providing guidance for vibration reliability analysis and packaging optimization design.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Architecture
Xiwang Shi, Tieying Li, Yohchia Frank Chen, Jinyong Chen, Qingshan Yang
INTERNATIONAL JOURNAL OF ARCHITECTURAL HERITAGE
(2020)
Article
Engineering, Civil
Chao Gao, Juan Wang, Qingshan Yang, Na Yang
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2020)
Article
Construction & Building Technology
Fengbo Wu, Min Liu, Qingshan Yang, Liuliu Peng
ADVANCES IN STRUCTURAL ENGINEERING
(2020)
Article
Construction & Building Technology
Wei Hao, Qingshan Yang
ADVANCES IN STRUCTURAL ENGINEERING
(2020)
Article
Forestry
Qingshan Yang, Chao Gao, Juan Wang, Kunlong Ren, Na Yang
EUROPEAN JOURNAL OF WOOD AND WOOD PRODUCTS
(2020)
Article
Construction & Building Technology
Yong Chul Kim, W. Shan, Q. S. Yang, Y. Tamura, A. Yoshida, T. Ito
JOURNAL OF STRUCTURAL ENGINEERING
(2020)
Article
Construction & Building Technology
Xiaohong Wang, Zhengyuan Huang, Bo Chen, Qingshan Yang
JOURNAL OF STRUCTURAL ENGINEERING
(2020)
Article
Engineering, Civil
Kunpeng Guo, Qingshan Yang, Min Liu, Bo Li
Summary: This study proposes an improved aerodynamic damping model for predicting vortex-induced vibration of a suspended circular cylinder in uniform flow, which shows good agreement with experimental results. The model provides a theoretical basis for developing aerodynamic damping models for bridge decks and other structures in the future.
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS
(2021)
Article
Engineering, Civil
Qingshan Yang, Tong Zhou, Bowen Yan, Min Liu, Pham Van Phuc, Zhenru Shu
Summary: In this study, large-eddy simulations (LES) were used to investigate the turbulent flow fields over hilly terrain, revealing significant effects of wind shear coefficients (WSCs) and upstream turbulence intensities (TIs) on the turbulence properties. Non-Gaussianity was stronger in the wake of gentle-sloped and moderate-sloped hills, and the topography had little influence on the wind direction field.
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS
(2021)
Article
Engineering, Civil
Guoqing Huang, Ruili Liu, Min Liu, Haitao Zheng
Summary: A method based on the multivariate AR-GARCH model is proposed to model and simulate the multivariate nonstationary wind speed process. The BEKK model is adopted to maintain the positive definiteness of the conditional covariance matrix, and numerical simulations as well as measured data are used to validate the accuracy of the proposed method.
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS
(2021)
Article
Engineering, Civil
Qingshan Yang, Tengfei Wang, Bowen Yan, Tian Li, Min Liu
Summary: This paper numerically investigates the nonlinear characteristics of motion-induced aerodynamic forces on large-scale hyperbolic paraboloid roofs using LES. It is found that the aerodynamic stiffness force is linearly proportional to the oscillation amplitude, while the aerodynamic damping force is nonlinearly dependent on the oscillation amplitude. The wind-induced responses of the large-scaled roof considering nonlinear motion-induced aerodynamic forces exhibit typically hardening non-Gaussian characteristics.
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS
(2021)
Article
Engineering, Civil
Qingshan Yang, Jiaqi Yin, Min Liu, Siu-seong Law
Summary: This study proposes a wind pressure zoning method based on weighted K-Means cluster analysis to determine the envelope of extreme wind pressure coefficients in different locations. The method is applied to low-rise and high-rise buildings and produces consistent results with the wind pressure distribution, aiding in the determination of design wind load for cladding and components.
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS
(2022)
Article
Engineering, Civil
Xin Li, Shaopeng Li, Yi Su, Liuliu Peng, Shuyang Cao, Min Liu
Summary: This paper experimentally studied the transient aerodynamic characteristics of a 5:1 rectangular cylinder under thunderstorm-like wind and analyzed the non-Gaussian features of transient pressures. A generalized time-varying extreme value model for nonstationary stochastic processes was proposed, revealing the potential underestimation of extreme loads by conventional models.
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS
(2022)
Article
Engineering, Civil
Lin Da, Qingshan Yang, Min Liu, Ling Zhao, Teng Wu, Baolong Chen
Summary: The estimation of extreme mean wind speed is crucial in structural wind-resistance design. This study focuses on estimating extreme mean wind speed from short-term records using the upcrossing rate method. The method is based on the distribution of mean wind speed, typically Weibull or Rayleigh. The paper investigates the upcrossing rate method for mean wind speed following Weibull distribution and considers sampling error for uncertainty analysis.
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS
(2023)
Proceedings Paper
Construction & Building Technology
Weicheng Hu, Qingshan Yang, Jian Zhang, Jianxiao Hu
6TH INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND CIVIL ENGINEERING
(2020)