Hermite Reproducing Kernel Meshfree Thermal Buckling Analysis of Euler-Bernoulli Beams with Elastic Foundation

Chao Song; Ming Sun; Bo Ya Dong

doi:10.4028/www.scientific.net/AMM.574.85

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 574Hermite Reproducing Kernel Meshfree Thermal...

Hermite Reproducing Kernel Meshfree Thermal Buckling Analysis of Euler-Bernoulli Beams with Elastic Foundation

Abstract:

The Hermite reproducing kernel meshfree method is employed for the stability analysis of Euler-Bernoulli beams with particular reference to the thermal buckling problem. This meshfree approximation employs both the nodal deflectional and rotational variables to construct the deflectional approximant according to the reproducing kernel conditions. In this paper, we apply this HRK meshfree method to the thermal buckling analysis of Euler-Bernoulli beam on elastic foundation. By comparison to the Gauss Integration method, HRK meshfree method shows much better solution accuracy.

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Periodical:

Applied Mechanics and Materials (Volume 574)

Pages:

85-88

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.574.85

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Online since:

July 2014

Authors:

Chao Song*, Ming Sun, Bo Ya Dong

Keywords:

Elastic Foundation, Euler-Bernoulli Beam, Hermite Reproducing Kernel Meshfree Method, Thermal Buckling

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References

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