Taylor Series Numerical Method in Transient Heat Conduction Analysis

被引:1
|
作者
Zhao Libin [1 ]
Li Yuanwei [1 ]
Liu Fengrui [2 ]
机构
[1] Beihang Univ, Sch Astronaut, Beijing 100191, Peoples R China
[2] Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China
来源
关键词
Taylor series numerical method; Transient heat conduction; Taylor series expansion;
D O I
10.4028/www.scientific.net/AMM.275-277.677
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Taylor series numerical method (TSNM) is extended to the field of transient heat conduction. Theoretical description of TSNM for transient heat conduction problems is presented. Furthermore, the algorithm is realized and embedded in commercial software ANSYS. If a lumped mass heat capacity matrix provided, the governing equation of transient heat conduction problems, which is a differential equation, will be solved by a series of recursion calculation of Taylor expanding coefficients. A typical transient heat conduction problem with analytical solution was discussed to verify the TSNM. At last, the TSNM is applied in the transient heat analysis of an all-solid fiber optic gyro (FOG).
引用
收藏
页码:677 / +
页数:2
相关论文
共 50 条
  • [1] Stability and Accuracy Analysis for Taylor Series Numerical Method
    赵丽滨
    姚振汉
    王寿梅
    [J]. Tsinghua Science and Technology, 2004, (01) : 51 - 56
  • [2] An implicit Taylor series numerical calculation method for power system transient simulation
    Chang, XR
    Wang, YB
    Hu, LF
    [J]. PROCEEDINGS OF THE 25TH IASTED INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION, AND CONTROL, 2006, : 82 - +
  • [3] An Analysis of the Transient Heat Conduction for Plates with the Functionally Graded Material Using the Hybrid Numerical Method
    Tian, J. H.
    Han, X.
    Long, S. Y.
    Sun, G. Y.
    Cao, Y.
    Xie, G. Q.
    [J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, 63 (02): : 101 - 115
  • [4] Modelling transient heat conduction of granular materials by numerical manifold method
    He, Jun
    Liu, Quansheng
    Wu, Zhijun
    Xu, Xiangyu
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2018, 86 : 45 - 55
  • [5] On defects of Taylor series approximation in heat conduction models
    Li, Shu-Nan
    Cao, Bing-Yang
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 98 : 824 - 832
  • [6] Taylor Series Based Numerical Integration Method
    Veigend, Petr
    Necasova, Gabriela
    Satek, Vaclav
    [J]. OPEN COMPUTER SCIENCE, 2020, 11 (01) : 60 - 69
  • [7] Taylor series numerical method in structural dynamics
    Zhao Libin
    Zhang Jianyu
    Zhao Youxuan
    [J]. ADVANCES IN FRACTURE AND MATERIALS BEHAVIOR, PTS 1 AND 2, 2008, 33-37 : 1213 - +
  • [8] Nonlinear transient heat conduction analysis with precise time integration method
    Chen, BS
    Gu, YX
    Guan, ZQ
    Zhang, HW
    [J]. NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2001, 40 (04) : 325 - 341
  • [9] A NUMERICAL SOLUTION FOR THE TRANSIENT INVERSE HEAT CONDUCTION PROBLEM
    Cai, Benan
    Zhang, Qi
    Weng, Yu
    Gu, Hongfang
    Wang, Haijun
    [J]. PROCEEDINGS OF THE ASME POWER CONFERENCE JOINT WITH ICOPE-17, 2017, VOL 2, 2017,
  • [10] Transient heat conduction modeling in continuous and discontinuous anisotropic materials with the numerical manifold method
    Ji, X. L.
    Zhang, H. H.
    Han, S. Y.
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2023, 155 : 518 - 527