Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value problems. The spectral method, called the generalised weighted residual method (GWRM), is a generalisatio...Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value problems. The spectral method, called the generalised weighted residual method (GWRM), is a generalisation of weighted residual methods to the time and parameter domains [1]. A semi-analytical Chebyshev polynomial ansatz is employed, and the problem reduces to determine the coefficients of the ansatz from linear or nonlinear algebraic systems of equations. In order to avoid large memory storage and computational cost, it is preferable to subdivide the temporal and spatial domains into subdomains. Methods and examples of this article demonstrate how this can be achieved.展开更多
The sloshing in a group of rigid cylindrical tanks with baffles and on soil foundation under horizontal excitation is studied analytically.The solutions for the velocity potential are derived out by the liquid subdoma...The sloshing in a group of rigid cylindrical tanks with baffles and on soil foundation under horizontal excitation is studied analytically.The solutions for the velocity potential are derived out by the liquid subdomain method.Equivalent models with mass-spring oscillators are established to replace continuous fluid.Combined with the least square technique,Chebyshev polynomials are employed to fit horizontal,rocking and horizontal-rocking coupling impedances of soil,respectively.A lumped parameter model for impedance is presented to describe the effects of soil on tank structures.A mechanical model for the soil-foundation-tank-liquid-baffle system with small amount of calculation and high accuracy is proposed using the substructure technique.The analytical solutions are in comparison with data from reported literature and numerical codes to validate the effectiveness and correctness of the model.Detailed dynamic properties and seismic responses of the soil-tank system are given for the baffle number,size and location as well as soil parameter.展开更多
针对永磁直线同步电机(permanent magnet linear synchronous machine,PMLSM)有限元仿真模型的计算时间长,不能直观地显示结构参数与输出推力的关系,无法指导电机结构参数优化等问题,提出基于子域解析法和深度神经网络算法的PMLSM改进...针对永磁直线同步电机(permanent magnet linear synchronous machine,PMLSM)有限元仿真模型的计算时间长,不能直观地显示结构参数与输出推力的关系,无法指导电机结构参数优化等问题,提出基于子域解析法和深度神经网络算法的PMLSM改进仿真模型,根据麦克斯韦方程组计算得到电机的磁通密度、空载反电势等性能数据,结合深度神经网络算法拟合出电机结构参数与输出推力的非线性关系。基于此模型,使用自适应遗传算法对PMLSM的推力密度进行优化,并与有限元仿真结果对比。结果表明:PMLSM改进仿真模型的计算速度是有限元模型的87.1倍,推力计算结果与有限元结果的平均误差为2.87%,优化后的电机推力密度提高了5.7%。展开更多
文摘Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value problems. The spectral method, called the generalised weighted residual method (GWRM), is a generalisation of weighted residual methods to the time and parameter domains [1]. A semi-analytical Chebyshev polynomial ansatz is employed, and the problem reduces to determine the coefficients of the ansatz from linear or nonlinear algebraic systems of equations. In order to avoid large memory storage and computational cost, it is preferable to subdivide the temporal and spatial domains into subdomains. Methods and examples of this article demonstrate how this can be achieved.
基金financially supported by the National Natural Science Foundation of China(Grant Nos.51978336 and 11702117)the Science and Technology Plan Project of Department of Communications of Zhejiang Province(Grant No.2021051)Nantong City Social Livelihood Science and Technology Project(Grant No.MS22022067).
文摘The sloshing in a group of rigid cylindrical tanks with baffles and on soil foundation under horizontal excitation is studied analytically.The solutions for the velocity potential are derived out by the liquid subdomain method.Equivalent models with mass-spring oscillators are established to replace continuous fluid.Combined with the least square technique,Chebyshev polynomials are employed to fit horizontal,rocking and horizontal-rocking coupling impedances of soil,respectively.A lumped parameter model for impedance is presented to describe the effects of soil on tank structures.A mechanical model for the soil-foundation-tank-liquid-baffle system with small amount of calculation and high accuracy is proposed using the substructure technique.The analytical solutions are in comparison with data from reported literature and numerical codes to validate the effectiveness and correctness of the model.Detailed dynamic properties and seismic responses of the soil-tank system are given for the baffle number,size and location as well as soil parameter.
文摘针对永磁直线同步电机(permanent magnet linear synchronous machine,PMLSM)有限元仿真模型的计算时间长,不能直观地显示结构参数与输出推力的关系,无法指导电机结构参数优化等问题,提出基于子域解析法和深度神经网络算法的PMLSM改进仿真模型,根据麦克斯韦方程组计算得到电机的磁通密度、空载反电势等性能数据,结合深度神经网络算法拟合出电机结构参数与输出推力的非线性关系。基于此模型,使用自适应遗传算法对PMLSM的推力密度进行优化,并与有限元仿真结果对比。结果表明:PMLSM改进仿真模型的计算速度是有限元模型的87.1倍,推力计算结果与有限元结果的平均误差为2.87%,优化后的电机推力密度提高了5.7%。
