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The Matrix Method for Solving the Finite Differential Form Euler Equation of Column Stability

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Abstract:

Euler equation of column stability can be expressed by the finite differential form. According to the real requirements of column stability, coefficient matrices the differential equations are solved by the matrices calculation method. Then, the critical stress of column stability of constant section of the simply supported beams is obtained. The results are compared with the analytical results. The error analysis is also presented, which includes the error reasons and measures for diminishing the error. The proposed method has positive meaning for the variable section beams.

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Periodical:

Applied Mechanics and Materials (Volume 722)

Pages:

131-135

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.722.131

Citation:

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Online since:

December 2014

Authors:

Zhang Yong Hu*, Qi Liu

Keywords:

Column Stability, Euler Equation, Finite Differential Form, Matrices

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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References

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