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**Harvard**

Hägglund, A. och Folkow, P. (2008) *Dynamic cylindrical shell equations by power series expansions*.

** BibTeX **

@conference{

Hägglund2008,

author={Hägglund, Anders H. and Folkow, Peter D.},

title={Dynamic cylindrical shell equations by power series expansions},

booktitle={Proceedings of the 6th International Conference on Computation of Shell & Spatial Structures},

pages={14-17},

abstract={Dynamics of an infinite circular cylindrical shell is considered. The derivation process is based on power series
expansions of the displacement components in the radial direction. Using the three dimensional equations of
motions, a set of recursion relations is identified expressing higher displacement coefficients in terms of lower
order ones. The new approximate shell equations are hereby obtained from the boundary conditions, resulting
in a set of six partial differential equations. These equations are believed to be asymptotically correct and it
is, in principle, possible to go to any order. Dispersion curves, together with the eigenfrequencies for a 2D
case, are calculated using exact, classical and expansion theories. It is shown that the approximate equations
containing order h2 are in general as good as or better than the established theory of the same order.},

year={2008},

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 83600

A1 Hägglund, Anders H.

A1 Folkow, Peter D.

T1 Dynamic cylindrical shell equations by power series expansions

YR 2008

T2 Proceedings of the 6th International Conference on Computation of Shell & Spatial Structures

SP 14

OP 17

AB Dynamics of an infinite circular cylindrical shell is considered. The derivation process is based on power series
expansions of the displacement components in the radial direction. Using the three dimensional equations of
motions, a set of recursion relations is identified expressing higher displacement coefficients in terms of lower
order ones. The new approximate shell equations are hereby obtained from the boundary conditions, resulting
in a set of six partial differential equations. These equations are believed to be asymptotically correct and it
is, in principle, possible to go to any order. Dispersion curves, together with the eigenfrequencies for a 2D
case, are calculated using exact, classical and expansion theories. It is shown that the approximate equations
containing order h2 are in general as good as or better than the established theory of the same order.

LA eng

LK http://ecommons.cornell.edu/bitstream/1813/11534/1/Dynamics%20of%20Shells.pdf

OL 30