Dynamic equations for an orthotropic cylindrical shell
Artikel i vetenskaplig tidskrift, 2018

A hierarchy of dynamic shell equations is derived for an orthotropic cylindrical shell. The displacement components are expanded into power series in the thickness coordinate and the three-dimensional elastodynamic equations then yield a set of recursion relations among the expansion functions that can be used to eliminate all but the six lowest-order functions. Applying the boundary conditions on the surfaces of the shell and eliminating all but the six lowest-order expansion functions give the shell equations as a power series in the shell thickness. In principle, these six differential equations can be truncated to any order. Numerical examples showing eigenfrequencies for a ring and for a simply supported shell show the convergence of the method to the 3D solution, and a comparison with previous investigations is also made. Finally, the exact 3D solution is given for a simply supported transversely isotropic shell of arbitrary thickness.

Cylindrical shell


Shell equation



Reza Okhovat

Chalmers, Mekanik och maritima vetenskaper, Dynamik

Anders E Boström

Chalmers, Mekanik och maritima vetenskaper, Dynamik

Composite Structures

0263-8223 (ISSN)

Vol. 184 1197-1203





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