BibTex RIS Cite

Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment

Year 2011, Volume: 3 Issue: 1, 71 - 79, 01.03.2011

Abstract

Large deflections were calculated for nonlinear Ludwick type cantilever beams made of Ludwick type rectangular cross-sectional material subjected to a moment at the free end, by employing approximate and numerical methods for trial functions satisfying boundary conditions. Adequately approximate results were obtained for calculations employing single and binominal constant, second and fourth degree polynomial type trial functions. Increasing number of constant term and degree of trial functions resulted in more approximate values

References

  • Bisshopp, K. E. and Drucker, D.C. Large Deflections of Cantilever Beams, Q. Appl. Math.,3: 272-275. (1945).
  • Scott, E. J. Carver, D. R. and Kan M. On the Linear Differential Equation for Beam Deflection, J. Appl. Mech., 22: 245-248. (1955).
  • Lau, J. H. Large Deflections of Beams with Combined Loads, J. Eng. Mech., 108: 180- 185. (1982).
  • Rao, B. N. and Rao, G. V. On the Large Deflection of Cantilever Beams with End Rotational Load, Z. Angew-Math. Mech., 66: 507-509. (1986).
  • Baker, G. On the Large Deflections of Non- prismatic Cantilevers with a Finite Depth, Comput. Struct., 46: 365-370. (1993).
  • Lee, B. K., Wilson, J.F. and Oh, S.J. Elastica of Cantilevered Beams with Variable Cross Sections, Int. J. Non-Linear Mech., 28: 579-589. (1993).
  • Frisch-Fay, R. Flexible Bars, Butter Worths, London. (1962).
  • Fertis, D. G. Nonlinear Mechanics, CRC Pres, New York. (1999).
  • Prathap, G. and Varadan, T. K. The Inelastic Large Deformation of Beams, J. Appl. Mech., 43: 689-690. (1976).
  • Varadan, T. L. and Joseph, D. Inelastic Finite Deflections of Cantilever Beams, J. Aeronaut Soc. India, 39: 39-41. (1987).
  • Lewis, G. And Monosa, F. Large Deflections of Cantilever Beams of Non-linear Materials, Comput. Strct., 14: 357-360. (1981).
  • Lewis, G. And Monosa, F. Large Deflections of Cantilever Beams of Non-linear Materials of the Ludwick Typr Subjected to an End Moment, Int. J. Non-Linear Mech., 17: 1-6. (1982).
  • Lo, C.C. and Gupta, S.D. Bending of a Nonlinear Rectangular Beam in Large Deflection, J. Appl. Mech., 45: 213-215. (1978).
  • Lee, K. Large Deflections of Cantilever Beams of Non-linear Elastic Material under a Combined Loading, Int. J. Non-Linear Mech., 37: 439-443. (2002).
  • Güven, U., Baykara, C., Bayer, İ., Large deflections of a cantilever beam of nonlinear bimodulus material subjected to an end moment, J.Reinforced Plastics and Composites, Vol.24, 12:1321-1326. (2005).
Year 2011, Volume: 3 Issue: 1, 71 - 79, 01.03.2011

Abstract

References

  • Bisshopp, K. E. and Drucker, D.C. Large Deflections of Cantilever Beams, Q. Appl. Math.,3: 272-275. (1945).
  • Scott, E. J. Carver, D. R. and Kan M. On the Linear Differential Equation for Beam Deflection, J. Appl. Mech., 22: 245-248. (1955).
  • Lau, J. H. Large Deflections of Beams with Combined Loads, J. Eng. Mech., 108: 180- 185. (1982).
  • Rao, B. N. and Rao, G. V. On the Large Deflection of Cantilever Beams with End Rotational Load, Z. Angew-Math. Mech., 66: 507-509. (1986).
  • Baker, G. On the Large Deflections of Non- prismatic Cantilevers with a Finite Depth, Comput. Struct., 46: 365-370. (1993).
  • Lee, B. K., Wilson, J.F. and Oh, S.J. Elastica of Cantilevered Beams with Variable Cross Sections, Int. J. Non-Linear Mech., 28: 579-589. (1993).
  • Frisch-Fay, R. Flexible Bars, Butter Worths, London. (1962).
  • Fertis, D. G. Nonlinear Mechanics, CRC Pres, New York. (1999).
  • Prathap, G. and Varadan, T. K. The Inelastic Large Deformation of Beams, J. Appl. Mech., 43: 689-690. (1976).
  • Varadan, T. L. and Joseph, D. Inelastic Finite Deflections of Cantilever Beams, J. Aeronaut Soc. India, 39: 39-41. (1987).
  • Lewis, G. And Monosa, F. Large Deflections of Cantilever Beams of Non-linear Materials, Comput. Strct., 14: 357-360. (1981).
  • Lewis, G. And Monosa, F. Large Deflections of Cantilever Beams of Non-linear Materials of the Ludwick Typr Subjected to an End Moment, Int. J. Non-Linear Mech., 17: 1-6. (1982).
  • Lo, C.C. and Gupta, S.D. Bending of a Nonlinear Rectangular Beam in Large Deflection, J. Appl. Mech., 45: 213-215. (1978).
  • Lee, K. Large Deflections of Cantilever Beams of Non-linear Elastic Material under a Combined Loading, Int. J. Non-Linear Mech., 37: 439-443. (2002).
  • Güven, U., Baykara, C., Bayer, İ., Large deflections of a cantilever beam of nonlinear bimodulus material subjected to an end moment, J.Reinforced Plastics and Composites, Vol.24, 12:1321-1326. (2005).
There are 15 citations in total.

Details

Other ID JA65YE28SV
Journal Section Articles
Authors

İ. Eren This is me

Publication Date March 1, 2011
Published in Issue Year 2011 Volume: 3 Issue: 1

Cite

APA Eren, İ. (2011). Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment. International Journal of Engineering and Applied Sciences, 3(1), 71-79.
AMA Eren İ. Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment. IJEAS. March 2011;3(1):71-79.
Chicago Eren, İ. “Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment”. International Journal of Engineering and Applied Sciences 3, no. 1 (March 2011): 71-79.
EndNote Eren İ (March 1, 2011) Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment. International Journal of Engineering and Applied Sciences 3 1 71–79.
IEEE İ. Eren, “Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment”, IJEAS, vol. 3, no. 1, pp. 71–79, 2011.
ISNAD Eren, İ. “Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment”. International Journal of Engineering and Applied Sciences 3/1 (March 2011), 71-79.
JAMA Eren İ. Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment. IJEAS. 2011;3:71–79.
MLA Eren, İ. “Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment”. International Journal of Engineering and Applied Sciences, vol. 3, no. 1, 2011, pp. 71-79.
Vancouver Eren İ. Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment. IJEAS. 2011;3(1):71-9.

21357