Taylor Series Numerical Method in Transient Heat Conduction Analysis

Abstract:

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).

• Periodical: Applied Mechanics and Materials (Volumes 275-277)
• Pages: 677-680
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.275-277.677
• Online since: January 2013
• Authors: Li Bin Zhao, Yuan Wei Li, Feng Rui Liu
• Keywords: Taylor Series Expansion, Taylor Series Numerical Method, Transient Heat Conduction

References

[1] S.M. Wang, R.A. Shenoi and L.B. Zhao: J of Mech Engng Sci. (1998), pp.567-575

[2] L.B. Zhao. Taylor Series Method in Structural Dynamic Analysis. BUAA (2001)

[3] L.B. Zhao, J.Y. Zhang, B.J. Fei, etc.: J of Mech Strength. Vol. 23(2) (2001), pp.168-170

[4] H. Wang: J of BUAA. Vol. 33(5) (2007), pp.549-551

[5] O.C. Zienkiewicz and R.L. Taylor, in: 6th. Beijing: World Publishing Company. (2008)

[6] Z. Zhang, W.X. Zhong: Comp Strct Mech and App. Vol. 11(4) (1994), pp.408-414

[7] B.S. Chen, Y.X. Gu, H.W. Zhang and S.T. Liu: J of Mech Strength. Vol. 22(4) (2000), pp.270-274