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Application of Saint-Venant's Principle to Anisotropic Beams

이방성 보 구조물 응력해석에서의 생브낭 원리

  • Kim, Jun-Sik (Dept. of Intelligent Mechanical Engineering, Kumoh Nat'l Institute of Tech.)
  • 김준식 (금오공과대학교 지능기계공학과)
  • Received : 2011.12.21
  • Accepted : 2012.02.07
  • Published : 2012.04.01

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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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