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NONLINEAR BENDING OF THE SHALLOW SPHERICAL SHELLS WITH VARIABLE THICKNESS UNDER AXISYMMETRICAL LOADS 被引量:2

NONLINEAR BENDING OF THE SHALLOW SPHERICAL SHELLS WITH VARIABLE THICKNESS UNDER AXISYMMETRICAL LOADS
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摘要 Based on the differential equation of the nonlinear bending of shallow spherical shells with variable thickness under axisymmetrical loads, the numerical solution of the nonlinear differential equation was studied by means of interpolating matrix method. The analysis of the results indicates that the suggested method is easy to implement and has the same high accuracy for both the displacements and the internal forces. Based on the differential equation of the nonlinear bending of shallow spherical shells with variable thickness under axisymmetrical loads, the numerical solution of the nonlinear differential equation was studied by means of interpolating matrix method. The analysis of the results indicates that the suggested method is easy to implement and has the same high accuracy for both the displacements and the internal forces.
作者 牛忠荣
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第11期1023-1031,共9页 应用数学和力学(英文版)
关键词 Bending (deformation) Mathematical techniques Numerical analysis Bending (deformation) Mathematical techniques Numerical analysis
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  • 1刘安中.用常微分方程组求解圆孔应力集中问题[J].安徽建筑工业学院学报(自然科学版),2004,12(1):6-8. 被引量:3
  • 2牛忠荣.轴对称变厚度扁球壳的非线性弯曲问题[J].应用数学和力学,1993,14(11):971-978. 被引量:7
  • 3叶志明.变厚度圆底扁薄球壳的非线性稳定问题[J].力学学报,1984,16(6):634-638.
  • 4侯朝胜.受轴对称分布荷载的厚度按指数型变化的圆薄板的大挠度[J].计算结构力学及其应用,1989,6(1):81-86.
  • 5叶志明.均布荷载作用下变厚度圆球扁薄壳的轴对称弯曲和稳定性[J].应用数学和力学,1988,9(2):143-148.
  • 6LO W K, LEE L T. Equivalent systems for variable thickness circular plates[J]. Computers & Structu-res, 1996,58(5):957-977.
  • 7侯朝胜.用矩法计算受轴对称分布荷载的扁圆锥薄壳的非线性稳定[J].工程力学,1987,4(1):1-10.
  • 8叶开沅 宋卫平.圆锥扁壳在均布压力下的非线性稳定问题[J].兰州大学学报,1983,19:134-145.
  • 9侯朝胜.用配点法计算受轴对称分布荷载的球面扁薄圆壳的非线性稳定[J].上海力学,1989,10(1):43-50.
  • 10KAPLAN A. Buckling of Spherical Shells, Thin-Shell Structure Theory, Experiment and Design[M]. Edited by Fung YC and Shechler EE, Prentice-Hall, Inc. Englewood Cliffs N. J, 1974.

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