Structural Engineering and Mechanics

  • 제3권2호
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  • Pages.163-172
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  • 1995
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A numerical analysis of the large deflection of an elastoplastic cantilever

  • Wang, B. (School of Mechanical and Production Engineering, Nanyang Technological University) ;
  • Lu, G. (School of Mechanical and Production Engineering, Nanyang Technological University) ;
  • Yu, T.X. (Department of Mechanical Engineering, UMIST)
  • 발행 : 1995.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

A simple numerical method is applied to calculate the large deflection of a cantilever beam under an elastic-plastic deformation by dividing the deformed axis into a number of small segments. Assuming that each segment can be approximated as a circular arc, the method allows large deflections and plastic deformation to be analyzed. The main interests are the load-deflection relationship, curvature distribution along the beam and the length of the plastic region. The method is proved to be easy and particularly versatile. Comparisons with other studies are given.

키워드

참고문헌

  1. El-Domiaty, Aly and Shabaik, A. H. (1984), "Bending of work-hardening metals under the influence of axial load", Journal of Mechanical Working Technology, 10, 57-66. https://doi.org/10.1016/0378-3804(84)90078-0
  2. Frisch-Fay, R. (1962), Flexible Bars, Butterworths, Washington, D.C.
  3. Liu, J.H., Stronge, W.J. and Yu, T.X. (1989), "Large deflections of an elastoplastic strain-hardening cantilever", Journal of Applied Mechanics, 56, 737-743. https://doi.org/10.1115/1.3176166
  4. Lo, C. C. and Gupta, S. D. (1978), "Bending of a non-linear rectangular beam in large deflection", Journal of Applied Mechanics, 45, 537-538.
  5. Reid, S. R. and Reddy, T. Y. (1978), "Effect of strain hardening on the large plastic deformation of a cantilever", Journal of Applied Mechanics, 45, 953-955. https://doi.org/10.1115/1.3424457
  6. Seames, A. E. and Conway, H. D. (1957), "A numerical procedure for calculating the large deflections of straight and curved beams", Journal of Applied Mechanics, 24, 289-284.
  7. Wu, S. and Yu, T. X. (1986), "The complete process of large elastic-plastic deflection of a cantilever", Acta Mechanica, Sinica, 2, 333-347. https://doi.org/10.1007/BF02488476
  8. Yu, T. X. and Johnson, W. (1982), "The Plastica: the large elastic-plastic deflection of a strut", International Journal of Non-Linear Mechanics, 17, 195-205. https://doi.org/10.1016/0020-7462(82)90019-1

피인용 문헌

  1. Large displacement analysis of inelastic frame structures by convected material frame approach vol.13, pp.2, 2002, https://doi.org/10.12989/sem.2002.13.2.135
  2. Large deflection of elastoplastic, non-linear strain-hardening cantilevers vol.216, pp.4, 2001, https://doi.org/10.1243/0954406021525223
  3. A Proposed Technique for Large Deflection Analysis of Cantilever Beams Composed of Two Nonlinear Elastic Materials Subjected to an Inclined Tip Concentrated Force vol.10, pp.3, 2007, https://doi.org/10.1260/136943307781422244
  4. Large deflection of elastoplastic beams with prescribed moving and rotating ends vol.217, pp.9, 2003, https://doi.org/10.1243/095440603322407245