• Title/Summary/Keyword: Numerical algorithm

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Adaptive compensation method for real-time hybrid simulation of train-bridge coupling system

  • Zhou, Hui M.;Zhang, Bo;Shao, Xiao Y.;Tian, Ying P.;Guo, Wei;Gu, Quan;Wang, Tao
    • Structural Engineering and Mechanics
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    • v.83 no.1
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    • pp.93-108
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    • 2022
  • Real-time hybrid simulation (RTHS) was applied to investigate the train-bridge interaction of a high-speed railway system, where the railway bridge was selected as the numerical substructure, and the train was physically tested. The interaction between the two substructures was reproduced by a servo-hydraulic shaking table. To accurately reproduce the high-frequency interaction responses ranging from 10-25Hz using the hydraulic shaking table with an inherent delay of 6-50ms, an adaptive time series (ATS) compensation algorithm combined with the linear quadratic Gaussian (LQG) was proposed and implemented in the RTHS. Testing cases considering different train speeds, track irregularities, bridge girder cross-sections, and track settlements featuring a wide range of frequency contents were conducted. The performance of the proposed ATS+LQG delay compensation method was compared to the ATS method and RTHS without any compensation in terms of residual time delays and root mean square errors between commands and responses. The effectiveness of the ATS+LQG method to compensate time delay in RTHS with high-frequency responses was demonstrated and the proposed ATS+LQG method outperformed the ATS method in yielding more accurate responses with less residual time delays.

ResNet-Based Simulations for a Heat-Transfer Model Involving an Imperfect Contact

  • Guangxing, Wang;Gwanghyun, Jo;Seong-Yoon, Shin
    • Journal of information and communication convergence engineering
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    • v.20 no.4
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    • pp.303-308
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    • 2022
  • Simulating the heat transfer in a composite material is an important topic in material science. Difficulties arise from the fact that adjacent materials cannot match perfectly, resulting in discontinuity in the temperature variables. Although there have been several numerical methods for solving the heat-transfer problem in imperfect contact conditions, the methods known so far are complicated to implement, and the computational times are non-negligible. In this study, we developed a ResNet-type deep neural network for simulating a heat transfer model in a composite material. To train the neural network, we generated datasets by numerically solving the heat-transfer equations with Kapitza thermal resistance conditions. Because datasets involve various configurations of composite materials, our neural networks are robust to the shapes of material-material interfaces. Our algorithm can predict the thermal behavior in real time once the networks are trained. The performance of the proposed neural networks is documented, where the root mean square error (RMSE) and mean absolute error (MAE) are below 2.47E-6, and 7.00E-4, respectively.

Attenuation of quasi-Lamb waves in a hydroelastic system "elastic plate+compressible viscous fluid+rigid wall"

  • Akbarov, Surkay D.;Negin, Mesut
    • Structural Engineering and Mechanics
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    • v.81 no.4
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    • pp.443-459
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    • 2022
  • The paper studies the dispersion and attenuation of propagating waves in the "plate+compressible viscous fluid layer" system in the case where the fluid layer flow is restricted with a rigid wall, and in the case where the fluid layer has a free face. The motion of the plate is described by the exact equations of elastodynamics and the flow of the fluid by the linearized Navier-Stokes equations for compressible barotropic Newtonian viscous fluids. Analytical expressions are obtained for the amplitudes of the sought values, and the dispersion equation is derived using the corresponding boundary and compatibility conditions. To find the complex roots of the dispersion equation, an algorithm based on equating the modulus of the dispersion determinant to zero is developed. Numerical results on the dispersion and attenuation curves for various pairs of plate and fluid materials under different fluid layer face conditions are presented and discussed. Corresponding conclusions on the influence of the problem parameters on the dispersion and attenuation curves are made and, in particular, it is established that the change of the free face boundary condition with the impermeability condition can influence the dispersion and attenuation curves not only in the quantitative, but also in the qualitative sense.

A two-stage structural damage detection method using dynamic responses based on Kalman filter and particle swarm optimization

  • Beygzadeh, Sahar;Torkzadeh, Peyman;Salajegheh, Eysa
    • Structural Engineering and Mechanics
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    • v.83 no.5
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    • pp.593-607
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    • 2022
  • To solve the problem of detecting structural damage, a two-stage method using the Kalman filter and Particle Swarm Optimization (PSO) is proposed. In this method, the first PSO population is enhanced using the Kalman filter method based on dynamic responses. Due to noise in the sensor responses and errors in the damage detection process, the accuracy of the damage detection process is reduced. This method proposes a novel approach for solve this problem by integrating the Kalman filter and sensitivity analysis. In the Kalman filter, an approximate damage equation is considered as the equation of state and the damage detection equation based on sensitivity analysis is considered as the observation equation. The first population of PSO are the random damage scenarios. These damage scenarios are estimated using a step of the Kalman filter. The results of this stage are then used to detect the exact location of the damage and its severity with the PSO algorithm. The efficiency of the proposed method is investigated using three numerical examples: a 31-element planer truss, a 52-element space dome, and a 56-element space truss. In these examples, damage is detected for several scenarios in two states: using the no noise responses and using the noisy responses. The results show that the precision and efficiency of the proposed method are appropriate in structural damage detection.

On the receding contact plane problem for bi-FGM-layers indented by a flat indenter

  • Cong Wang;Jie Yan;Rui Cao
    • Structural Engineering and Mechanics
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    • v.85 no.5
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    • pp.621-633
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    • 2023
  • The major objective of this paper is to study the receding contact problem between two functional graded layers under a flat indenter. The gravity is assumed negligible, and the shear moduli of both layers are assumed to vary exponentially along the thickness direction. In the absence of body forces, the problem is reduced to a system of Fredholm singular integral equations with the contact pressure and contact size as unknowns via Fourier integral transform, which is transformed into an algebraic one by the Gauss-Chebyshev quadratures and polynomials of both the first and second kinds. Then, an iterative speediest descending algorithm is proposed to numerically solve the system of algebraic equations. Both semi-analytical and finite element method, FEM solutions for the presented problem validate each other. To improve the accuracy of the numerical result of FEM, a graded FEM solution is performed to simulate the FGM mechanical characteristics. The results reveal the potential links between the contact stress/size and the indenter size, the thickness, as well as some other material properties of FGM.

Structural optimal control based on explicit time-domain method

  • Taicong Chen;Houzuo Guo;Cheng Su
    • Structural Engineering and Mechanics
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    • v.85 no.5
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    • pp.607-620
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    • 2023
  • The classical optimal control (COC) method has been widely used for linear quadratic regulator (LQR) problems of structural control. However, the equation of motion of the structure is incorporated into the optimization model as the constraint condition for the LQR problem, which needs to be solved through the Riccati equation under certain assumptions. In this study, an explicit optimal control (EOC) method is proposed based on the explicit time-domain method (ETDM). By use of the explicit formulation of structural responses, the LQR problem with the constraint of equation of motion can be transformed into an unconstrained optimization problem, and therefore the control law can be derived directly without solving the Riccati equation. To further optimize the weighting parameters adopted in the control law using the gradient-based optimization algorithm, the sensitivities of structural responses and control forces with respect to the weighting parameters are derived analytically based on the explicit expressions of dynamic responses of the controlled structure. Two numerical examples are investigated to demonstrate the feasibility of the EOC method and the optimization scheme for weighting parameters involved in the control law.

A hybrid-separate strategy for force identification of the nonlinear structure under impact excitation

  • Jinsong Yang;Jie Liu;Jingsong Xie
    • Structural Engineering and Mechanics
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    • v.85 no.1
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    • pp.119-133
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    • 2023
  • Impact event is the key factor influencing the operational state of the mechanical equipment. Additionally, nonlinear factors existing in the complex mechanical equipment which are currently attracting more and more attention. Therefore, this paper proposes a novel hybrid-separate identification strategy to solve the force identification problem of the nonlinear structure under impact excitation. The 'hybrid' means that the identification strategy contains both l1-norm (sparse) and l2-norm regularization methods. The 'separate' means that the nonlinear response part only generated by nonlinear force needs to be separated from measured response. First, the state-of-the-art two-step iterative shrinkage/thresholding (TwIST) algorithm and sparse representation with the cubic B-spline function are developed to solve established normalized sparse regularization model to identify the accurate impact force and accurate peak value of the nonlinear force. Then, the identified impact force is substituted into the nonlinear response separation equation to obtain the nonlinear response part. Finally, a reduced transfer equation is established and solved by the classical Tikhonove regularization method to obtain the wave profile (variation trend) of the nonlinear force. Numerical and experimental identification results demonstrate that the novel hybrid-separate strategy can accurately and efficiently obtain the nonlinear force and impact force for the nonlinear structure.

Multi-objective Optimization of Pedestrian Wind Comfort and Natural Ventilation in a Residential Area

  • H.Y. Peng;S.F. Dai;D. Hu;H.J. Liu
    • International Journal of High-Rise Buildings
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    • v.11 no.4
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    • pp.315-320
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    • 2022
  • With the rapid development of urbanization the problems of pedestrian-level wind comfort and natural ventilation of tall buildings are becoming increasingly prominent. The velocity at the pedestrian level ($\overline{MVR}$) and variation of wind pressure coefficients $\overline{{\Delta}C_p}$ between windward and leeward surfaces of tall buildings were investigated systematically through numerical simulations. The examined parameters included building density ρ, height ratio of building αH, width ratio of building αB, and wind direction θ. The linear and quadratic regression analyses of $\overline{MVR}$ and $\overline{{\Delta}C_p}$ were conducted. The quadratic regression had better performance in predicting $\overline{MVR}$ and $\overline{{\Delta}C_p}$ than the linear regression. $\overline{MVR}$ and $\overline{{\Delta}C_p}$ were optimized by the NSGA-II algorithm. The LINMAP and TOPSIS decision-making methods demonstrated better capability than the Shannon's entropy approach. The final optimal design parameters of buildings were ρ = 20%, αH = 4.5, and αB = 1, and the wind direction was θ = 10°. The proposed method could be used for the optimization of pedestrian-level wind comfort and natural ventilation in a residential area.

A Machine Learning Algorithm Study for Predicting Time-Averaged Velocity Fluctuations in Turbulent Jets (난류 제트 내 시간 평균 속도 변동 예측을 위한 기계 학습 알고리즘)

  • Seongeun Choi;Jin Hwan Hwang
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.130-130
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    • 2023
  • 제트류는 다양한 크기와 운동량의 에디가 복잡하게 혼합되어 이루어져 있으며, 이를 정확하게 모델링하고 이해하기 위해서는 제트류의 다양한 특성들을 잘 반영하여 연구를 수행해야 한다. 다양한 연구 수행 방법 중 수치해석 방법은 상대적으로 공간 및 시간적 비용이 적게 들어서 널리 사용되고 있다. 이러한 수치해석 방법에는 DNS(Direct Numerical Simulation), LES(Large Eddy Simulation), RANS(Reynolds Averaged Navier Stokes) 등이 있으며, 그중 LES는 난류 모델링을 사용하는 RANS 방법에 비해 더욱 정확한 흐름 모델링을 제공하는 장점이 있다. 이러한 LES는 대규모 에디는 직접 해석하면서, 일정 크기 이하의 에디는 모델링을 사용해 해석하는 것이 특징이다. 하지만, LES를 사용하기 위해서는 적절한 그리드 크기를 결정하는 것이 중요하며, 이는 모델의 정확성과 연산 비용에 큰 영향을 미친다. 하지만, 여전히 적절한 그리드 크기를 결정하는 것은 어려운 문제이다. 이러한 LES 모델링을 사용할 때 적절한 그리드 크기를 결정하기 위해서는 정확한 시간 평균 속도 변동을 연구하는 것이 앞서 선행되어야 한다. 따라서, 본 연구에서는 기계학습 기반 접근 방식을 사용하여 난류 제트 내 시간 평균 속도 변동을 예측하는 연구를 진행하였다. 즉, 난류 제트 역학을 이해하는 데 중요한 파라미터인 시간 평균 유속을 이용하여 시간 평균 속도 변동을 예측하는 데 초점을 맞추었다. 모델의 성능은 평균 제곱 오차와 R-제곱 등 다양한 지표를 사용하여 평가되었다.

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Proposing a dynamic stiffness method for the free vibration of bi-directional functionally-graded Timoshenko nanobeams

  • Mohammad Gholami;Mojtaba Gorji Azandariani;Ahmed Najat Ahmed;Hamid Abdolmaleki
    • Advances in nano research
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    • v.14 no.2
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    • pp.127-139
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    • 2023
  • This paper studies the free vibration behavior of bi-dimensional functionally graded (BFG) nanobeams subjected to arbitrary boundary conditions. According to Eringen's nonlocal theory and Hamilton's principle, the underlying equations of motion have been obtained for BFG nanobeams. Moreover, the variable substitution method is utilized to establish the structure's state-space differential equations, followed by forming the dynamic stiffness matrix based on state-space differential equations. In order to compute the natural frequencies, the current study utilizes the Wittrick-Williams algorithm as a solution technique. Moreover, the nonlinear vibration frequencies calculated by employing the proposed method are compared to the frequencies obtained in previous studies to evaluate the proposed method's performance. Some illustrative numerical examples are also given in order to study the impacts of the nonlocal parameters, material property gradient indices, nanobeam length, and boundary conditions on the BFG nanobeam's frequency. It is found that reducing the nonlocal parameter will usually result in increased vibration frequencies.