2022 Vol. 43, No. 11

A Special Topic on Applied Mathematics and Mechanics Related to Energy Storage Technology
Design of the Battery Thermal Management System With Phase Change Material Coupled Cold Plates
HUANG Qin, YU Lingfeng, CHEN Kai
2022, 43(11): 1195-1202. doi: 10.21656/1000-0887.430278
Abstract(867) HTML (354) PDF(91)
Abstract:

The battery thermal management system with phase change material coupled cold plates was investigated with the numerical simulation method. The results show that, the temperature and temperature difference of the battery pack decreases with the increase of the flow rates of the cold plate in the sys...

Impact Responses of Prismatic Lithium-Ion Battery Based on the Membrane Factor Method
ZHANG Xinchun, WANG Junyu, WANG Yulin, HUANG Zixuan, WANG Kai, QIN Jiangyi
2022, 43(11): 1203-1213. doi: 10.21656/1000-0887.430289
Abstract(785) HTML (297) PDF(68)
Abstract:

Aimed at the internal short circuit problem due to large deformation of the prismatic lithium-ion battery cell under impact loadings, a simplified battery model was first established. Then the motion equations of velocity and displacement based on the membrane factor method were proposed. With the e...

Modeling of Electric Vehicles as Mobile Energy Storage Systems Considering Multiple Congestions
YAN Haoyuan, ZHAO Tianyang, LIU Xiaochuan, DING Zhaohao
2022, 43(11): 1214-1226. doi: 10.21656/1000-0887.430303
Abstract(784) HTML (346) PDF(65)
Abstract:

To realize the optimal operation of urban coupled transportation power systems underthe road, charging facilities, and transmission line congestions, a dynamic optimal traffic power flow (DOTPF) model was formulated under congestions. Based on the time space network (TSN) approach, a novel TSN with ...

Normalized Dynamic Characterization and Application of Multiple Heat Storage Materials Based on Standard Thermal Resistance
HAO Junhong, WU Xuefeng, ZHANG Shining, TIAN Liang, GE Zhihua
2022, 43(11): 1227-1237. doi: 10.21656/1000-0887.430231
Abstract(614) HTML (278) PDF(52)
Abstract:

Based on the standard thermal resistance and the heat current method, the transient heat transfer thermal resistance between the heat storage material and the heat transfer fluid was deduced. With the analog circuit analysis method, the transient heat current model and dynamic response time constant...

Topology Optimization of Fins for Rapid Heat Storage and Release in Triangular-Inside Tube Units
HUANG He, GAO Jiaxu, REN Zhibin, ZHAO Ming
2022, 43(11): 1238-1248. doi: 10.21656/1000-0887.420198
Abstract(753) HTML (391) PDF(67)
Abstract:

A triangular-inside tube accumulator was proposed to solve the problem of low heat transfer rates of traditional phase change accumulators. Based on the topology optimization, the fins were designed for the purpose of enhancing heat transfer, and the topological results were reconstructed, with the ...

Improved Quasi-Steady-State Approximation Analysis of Stefan Problems Under 2nd-Kind Boundary Conditions
YANG Xiaohu, LI Shaodan, CHEN Kai
2022, 43(11): 1249-1258. doi: 10.21656/1000-0887.420141
Abstract(733) HTML (384) PDF(74)
Abstract:

Improved quasi-steady-state approximation solutions were obtained for Stefan problems under the 2nd-kind boundary conditions, both in Cartesian and cylindrical coordinates, based on the traditional quasi-steady state approximation and the 1st law of thermodynamics. For the Cartesian coordinate condi...

Solid Mechanics
Thermal Shock Crack Propagation of Alumina Simulated With the Phase-Field Method Under Temperature-Dependent Damage Criteria
YANG Guoxin, ZHENG Shifeng, LI Dingyu, LI Weiguo
2022, 43(11): 1259-1267. doi: 10.21656/1000-0887.430133
Abstract(864) HTML (443) PDF(113)
Abstract:

The mechanical properties of alumina ceramic materials are significantly affected by temperature, so it is necessary to consider the temperature dependence of the damage criteria during the simulation of thermal shock crack propagation with the phase-field method. Based on the existing thermodynamic...

Intelligent Crack Recognition Based on XFEM and GA-BP Neural Networks
MAO Xiaomin, ZHANG Huihua, JI Xiaolei, HAN Shangyu
2022, 43(11): 1268-1280. doi: 10.21656/1000-0887.420250
Abstract(887) HTML (499) PDF(76)
Abstract:

Based on the extended finite element method (XFEM) and the error back propagation (BP) multilayer feedforward neural network algorithm optimized by the genetic algorithm (GA), an inverse analysis model for identifying cracks in structures was established. The GA-BP neural network was trained by the ...

Applied Mathematics
Switching Control of Nonlinear Systems Based on the Quasi-ARX Model and the SVR Algorithm
WANG Lan, DONG Yiping, CAO Jinde
2022, 43(11): 1281-1287. doi: 10.21656/1000-0887.430122
Abstract(714) HTML (312) PDF(45)
Abstract:

A nonlinear switching control method was proposed based on an improved quasilinear autoregressive with exogenous inputs (quasi-ARX) radial basis function (RBF) network model and the support vector regression (SVR) algorithm. The RBF network was chosen as the nonlinear part of the improved quasi-ARX ...

Exact Solutions to Space-Time Fractional Fokas-Lenells Equations With Parameters
LIU Yangxiu, HU Yanxia
2022, 43(11): 1288-1302. doi: 10.21656/1000-0887.420322
Abstract(872) HTML (319) PDF(117)
Abstract:

The exact solutions to the space-time fractional Fokas-Lenells equations with parameters in nonlinear optics were obtained by means of the complete discrimination system for polynomial method, including rational function solutions, periodic solutions, solitary wave solutions, Jacobi elliptic functio...

Source Identification for the Time-Fractional Diffusion Equation With Robin Boundary Conditions
CUI Jianxuan, SHI Chengxin, LIU Mian, CHENG Hao
2022, 43(11): 1303-1312. doi: 10.21656/1000-0887.430004
Abstract(795) HTML (481) PDF(78)
Abstract:

The source term identification for the time-fractional diffusion equation with Robin boundary conditions was studied. Since the ill-posedness of this problem, an iterative regularization method was constructed to calculate the regularized approximate solution of the source term. The error estimates ...