Dynamic Response of Imbedded Cylindrical Shell

by Raymond Parnes, Assoc. Prof.; School of Engrg., City Coll., City Univ. of New York, New York, NY,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 2, Pg. 421-440

Document Type: Journal Paper


The response of an infinitely long elastic cylindrical shell imbedded in an infinite elastic medium and subjected to internal tractions is obtained. Inextensional and extensional motions are determined due to applied tractions given as step functions in time and varying with the angular coordinate. The interaction effect of the shell and medium is determined by means of compatibility conditions which are expressed as a set of coupled integro-differential equations in each mode and are solved numerically by a forward step integration in time. Numerical results are presented for the response in the axisymmetric mode and for higher modes. The response of the shell-medium system is observed to behave as a damped oscillating system whose long time response approaches that of the corresponding static problem.

Subject Headings: Dynamic response | Cylindrical shells | Elastic analysis | Numerical methods | Coupling | Axisymmetry | Damping | Oscillations

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