Solving Transient Heat Transfer Problems by the Convolution Type Semi-Analytical DQ Method

Jian She Peng; Guang Bing Luo; Liu Yang

doi:10.4028/www.scientific.net/AMM.204-208.4315

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 204-208Solving Transient Heat Transfer Problems by the...

Solving Transient Heat Transfer Problems by the Convolution Type Semi-Analytical DQ Method

Abstract:

The convolution-type Gurtin variational principle is known as the only variational principle that is, from mathematics point of view, totally equivalent to the initial value problem system. In this paper, the governing equation of bars is first transformed to a new equation containing initial conditions by using convolution method. Then, a convolution-type semi-analytical DQ approach, which involves differential quadrature (DQ) approximation in space domain and an analytical series expansion in time domain, is proposed to obtain the transient response solution. The transient heat transfer examples show the proposed method is a very useful and efficient tool in transient heat transfer problems.

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Periodical:

Applied Mechanics and Materials (Volumes 204-208)

Pages:

4315-4319

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.204-208.4315

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Online since:

October 2012

Authors:

Jian She Peng, Guang Bing Luo, Liu Yang

Keywords:

Convolution, DQ Method, Semi-Analytical Method, Transient Heat Transfer

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References

[1] Gurtin M.E, Variation principles for linear initial-value problem. [J] Quarterly Journal of Applied Mechanics, 1964, 22(3), 252.

Google Scholar

[2] Luo E., Various types of variation principles on linear elastic dynamics. [J] China Science (A), 1987, 9, 936-948.

Google Scholar

[3] Peng J.S., Zhang J.Y., Lewis R.W., A semi-analytical approach forsolving forced vibration problems based on convolution-type variational principle. [J] Computers and Structures, 1996, 59(1), 167-179.

DOI: 10.1016/0045-7949(95)00203-0

Google Scholar

[4] Bellman R., Casti J., Differential quadrature and long-term integration. [J] Journal of Mathematical Analysis and Applications, 1971, 34(2), 235-238.

DOI: 10.1016/0022-247x(71)90110-7

Google Scholar

[5] Cortinez V. H., DQM for vibration analysis of composite thin-walled curved beams [J] Journal of Sound and Vibration, 2001, 246(3), 551-555.

DOI: 10.1006/jsvi.2001.3600

Google Scholar

[6] Hsu M.H., Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method [J], Computer Methods in Applied Mechanics and Engineering, 2005, 194(1), 1–17.

DOI: 10.1016/j.cma.2003.08.011

Google Scholar