A novel multi-physics coupling model for the stochastic analysis of phased arrays considering material spatial uncertainty

被引：2
作者：
Feng, S. Z. [1 ]
Sun, Q. J. [1 ]
Xiao, S. [2 ]
Han, X. [1 ]
Li, Y. B. [3 ]
Li, Z. X. [4 ]
机构：
[1] Hebei Univ Technol, State Key Lab Reliabil & Intelligence Elect Equip, Tianjin 300130, Peoples R China
[2] China Elect Technol Grp Corp, Res Inst 54, Shijiazhuang 050081, Peoples R China
[3] Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Shaanxi, Peoples R China
[4] Opole Univ Technol, Fac Mech Engn, Opole, Poland
来源：
APPLIED MATHEMATICAL MODELLING | 2024年 / 128卷
基金：
美国国家科学基金会;
关键词：
Thermal-structural-electromagnetic coupling; Random field; Radiation patterns; Spatial uncertainty; Active phased array antenna; FINITE-ELEMENT-ANALYSIS; REFLECTOR ANTENNAS; BUCKLING ANALYSIS; RANDOM-FIELDS; EXPANSION; SHELLS; DISCRETIZATION; APPROXIMATION; COMPUTATION;
D O I：
10.1016/j.apm.2024.01.042
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A random field based thermal-structural-electromagnetic (RF -TSE) coupling model is proposed to deal with the stochastic analysis of the Active Phased Array Antenna (APAA) performance considering material spatial uncertainty. Firstly, the spatial uncertainty of APAA material parameters is characterized by the random field model. Then, the material spatial uncertainty is embedded into the thermal-structural coupling analysis of APAA and the random displacement information of APAA units is calculated. To avoid supplemental analytical error of the APAA performance, the obtained deformation results are directly introduced into the antenna radiation pattern function without any additional assumptions. Finally, the stochastic spatial phase error caused by deformation is further calculated and utilized to obtain the statistical information of the APAA performance based on the power pattern function. The validity of the proposed RF -TSE model is fully investigated and the analytical results show that it can obtain very accurate statistical information of APAA electromagnetic (EM) performance and the computational efficiency can also be greatly improved compared with the Monte-Carlo simulation (MCS) approach.
引用
收藏
页码：707 / 722
页数：16
相关论文
共 52 条
[1]   Thermodynamically consistent derivation and computation of electro-thermo-mechanical systems for solid bodies [J].
Abali, B. Emek ;
Reich, Felix A. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 319 :567-595
[2]   3-D stochastic finite elements for thermal creep analysis of piping structures with spatial material inhomogeneities [J].
Appalanaidu, Y. ;
Roy, Anindya ;
Gupta, Sayan .
ACTA MECHANICA, 2017, 228 (09) :3039-3062
[3]   A simple and efficient stochastic meshfree method for linear eigenvalue problems in structural mechanics [J].
Aswathy, M. ;
Arun, C. O. .
PROBABILISTIC ENGINEERING MECHANICS, 2022, 68
[4]   Implementation of Karhunen-Loeve expansion using discontinuous Legendre polynomial based Galerkin approach [J].
Basmaji, A. A. ;
Dannert, M. M. ;
Nackenhorst, U. .
PROBABILISTIC ENGINEERING MECHANICS, 2022, 67
[5]   Effects of material uncertainty in the structural response of metal foam core sandwich beams [J].
Beckmann, Carla ;
Hohe, Joerg .
COMPOSITE STRUCTURES, 2014, 113 :382-395
[6]   Numerical methods for the discretization of random fields by means of the Karhunen-Loeve expansion [J].
Betz, Wolfgang ;
Papaioannou, Iason ;
Straub, Daniel .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 271 :109-129
[7]   Stochastic heat conduction analysis of a functionally graded annular disc with spatially random heat transfer coefficients [J].
Chiba, Ryoichi .
APPLIED MATHEMATICAL MODELLING, 2009, 33 (01) :507-523
[8]   Stochastic finite element analysis of structures in the presence of multiple imprecise random field parameters [J].
Do, Duy Minh ;
Gao, Wei ;
Song, Chongmin .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 300 :657-688
[9]   Coupled structural-electromagnetic modeling and analysis of active membrane phased array antenna [J].
Fan, Liang ;
Lv, Liang-liang ;
Peng, Fu-jun ;
Cai, Guo-ping .
ADVANCES IN SPACE RESEARCH, 2020, 66 (04) :760-770
[10]   3-D spectral stochastic finite element method in electromagnetism [J].
Gaignaire, R. ;
Clenet, S. ;
Sudret, B. ;
Moreau, O. .
IEEE TRANSACTIONS ON MAGNETICS, 2007, 43 (04) :1209-1212
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