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Exact solution of Qian equation of slender toroidal shells

In 1979 Qian Weichang studied the slender toroidal shell systematically and derived a called Qian’s equation, then obtained a series solution with the expression of continued fractions. But Qian did not mention if the series solution can be converted to a well-known special functions. In this paper, a linear transformation has been introduced, which will transfer the equation into a Mathieu equation, whose solution can be expressed in terms of Mathieu functions. This study has revealed a intrinsic relationship between the Qian’s solution and the Mathieu solutions.

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Dimensional analysis and applications (invited article)

The paper gives a systematical introduction on dimensional analysis (DA), and proposes a six-steps on how to use the dimensional analysis, the universality of the DA will be shown by some typical examples, such as, point blast, pipe flow and a small sphere moving through a viscous fluid.

published: Physics and Engineering, Vol 26, No.6, pp.11-20, 2016. Invited article, in Chinese)

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Welcome to Rio for Mechanics Conference, 19-22 March, 2017

Invitation to attend our Mechanics Symposium

A Conference of the ASCE / Engineering Mechanics Institute

 

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纪念叶开沅教授专刊(英文)征稿邀请

http://www.sciencenet.cn/blog/user_content.aspx?id=237550

Journal of Mechanics and MEMS   (JMM)

ISSN : 0974-8407

纪念叶开沅教授专刊(英文)

 

 

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Call for papers: Journal of Mechanics and MEMS

Journal of Mechanics and MEMS, Published by Serials Publications, http://www.serialspublications.com/journal_form.asp?jid=286&jtype=1


Editor-in-Chief 

Prof. Bohua Sun 

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Call for papers: a series of monograph in the field of engineering mechanics

Advances in Engineering Mechanics (AEM)

a series of monograph in the field of engineering mechanics
published by Nova Science Publishers, Inc, 400 Oser Ave. Suite 1600, Hauppauge NY, 11788-3619, USA
Chief Editor: Prof. Bohua Sun

e-mail: bohua.sun@cput.ac.za  and sunb@cput.ac.za

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Call for Papers

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