Iterative FD solution to bending of axisymmetric conical shells

Pei Jianping, Issam E. Harik

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


A numerical solution is presented for determining the stresses and displacements in complete and truncated conical shells. The method is based on the classical bending theory of thin axisymmetric shells. The governing differential equation for a conical element is presented in terms of the meridional or axial displacement u and the normal displacement w. Then, an iterative finite difference technique is employed to determine the displacements and in turn the stresses. The method is applicable to short and long conical shells having simply supported, clamped, or free edges. The proposed method can easily be extended to tapered conical shells and other types of axisymmetric shells. Results are presented and compared with those of existing solutions.

Original languageEnglish
Pages (from-to)2433-2446
Number of pages14
JournalJournal of Structural Engineering (United States)
Issue number9
StatePublished - Sep 1990

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Iterative FD solution to bending of axisymmetric conical shells'. Together they form a unique fingerprint.

Cite this