LARGE DEFLECTION ANALYSIS OF A SHALLOW SPHERICAL-SHELL ON A PASTERNAK FOUNDATION

被引:5
作者
PALIWAL, DN
BHALLA, V
机构
[1] Institute Industry Interaction Cell, Motilal Nehru Regional Engineering College, Allahabad
[2] Bharat Pumps and Compressor Ltd., Allahabad, Naini
关键词
Mathematical Techniques - Approximation Theory - Structural Analysis - Loads;
D O I
10.1016/0308-0161(92)90015-8
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A new approach due to Sinharay and Banerjee is extended for large deflection analysis of a shallow spherical shell on a Pasternak foundation. First, load-deflection characteristics are obtained using various approximate methods such as the Alpha method, Berger's method, the modified Berger's method and Sinharay and Banerjee's approach. The Alpha method is the least accurate one, Berger's method is more accurate than the Alpha method, and Sinharay and Banerjee's Approach is found to be the most accurate of all. Hence this technique is used to carry out the parametric studies for non-linear analysis. The effect of the geometric parameter, Poisson's ratio, foundation modulus and shear modulus on load-deflection characteristics is investigated for movably and immovably clamped and simply supported edge conditions.
引用
收藏
页码:189 / 199
页数:11
相关论文
共 10 条
  • [1] Vlasov, Leontiev, Beams, Plates and Shells on Elastic Foundations, (1966)
  • [2] Vykutil, Beams, frames and shells on elastic foundations, Journal of Engineering Mechanics Div., ASCE, 108, 1, pp. 202-205, (1982)
  • [3] Nath, Jain, Non-linear dynamic analysis of shallow spherical shells on elastic foundations, International Journal of Mechanical Sciences, 25, pp. 409-419, (1983)
  • [4] Paliwal, Sinha, Static and dynamic behaviour of shallow spherical shells on Winkler foundation, Thin Walled Structures, 4, 6, pp. 411-422, (1986)
  • [5] Paliwal, Sinha, Choudhary, Shallow spherical shells on Pasternak foundation, Journal of Engineering Mechanics, ASCE, 112, 2, pp. 175-182, (1986)
  • [6] Paliwal, Analysis of shallow spherical shells on elastic foundations by Berger's approach, Ph.D. Thesis, (1987)
  • [7] Sharma, Investigation of spherical shell foundation, Proc. ASCE, Soil Mech. Div., pp. 489-492, (1973)
  • [8] Sinharay, Banerjee, Large amplitude free vibrations of shallow spherical shell and cylindrical shell—a new approach, International Journal of Non-linear Mechanics, 20, 2, pp. 69-78, (1985)
  • [9] Sinharay, Banerjee, A new approach to large deflection analysis of spherical and cylindrical shells, Journal of Applied Mechanics, (1984)
  • [10] Choudhary, Static and dynamic analysis of thin elastic shallow spherical shells on Pasternak foundations, M.E. Thesis, (1985)