# 이방성 보 구조물 응력해석에서의 생브낭 원리

• Kim, Jun-Sik (Dept. of Intelligent Mechanical Engineering, Kumoh Nat'l Institute of Tech.)
• 김준식 (금오공과대학교 지능기계공학과)
• Accepted : 2012.02.07
• Published : 2012.04.01
• 69 12

#### Abstract

Asymptotic analysis is a powerful tool for the mathematically rigorous design and analysis of anisotropic beam structures. However, it has a limitation in that the asymptotic approach requires asymptotically correct boundary conditions for higher-order solutions, which are often needed for beams weak in shear. A method utilizing Saint-Venant's principle was proposed in a previous work to improve the stress state of isotropic beams and plates. In this paper, such a method is generalized for anisotropic beams, so that one does not need to consider the asymptotically correct boundary conditions for higher-order solutions. Consequently, solving the recursive system equations is not necessary, which makes the method very efficient in terms of accuracy and computational effort.

#### Keywords

Saint-Venant Principle;Stress Recovery;Anisotropic Beam;Asymptotic Analysis

#### Acknowledgement

Supported by : 한국연구재단

#### References

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2. Oh, J., Cho, M., Kim, J.-S. and Grediac, M., 2008, "A Finite Element Formulation Based on an Enhanced First Order Shear Deformation Theory for Composite and Sandwich Structures," Journal of Mechanical Science and Technology, Vol. 22, No. 5, pp. 871-878. https://doi.org/10.1007/s12206-008-0103-8
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5. Kim, J.-S. and Cho, M., 2011, "A Novel Methodology of Improving Stress Prediction via Saint-Venant's Principle," Journal of the COSEIK, Vol. 24, No. 2, pp. 149-156.
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#### Cited by

1. Experimental Study on Dynamic Characteristics of Structurally Tailored Isotropic Box Beams vol.37, pp.5, 2013, https://doi.org/10.3795/KSME-A.2013.37.5.641
2. Improvement of Euler-Bernoulli Beam Theory for Free Vibration and Buckling Analyses via Saint-Venant's Principle vol.40, pp.4, 2016, https://doi.org/10.3795/KSME-A.2016.40.4.381