ANALYSIS OF ELASTIC IMPACT ON THIN SHELL STRUCTURES

Autor:	Shiuh-Chuan Her, Ching-Chuan Liao
Rok vydání:	2008
Předmět:	Physics Statistical and Nonlinear Physics Mechanics Thin-shell structure Impulse (physics) Condensed Matter Physics Governing equation Finite element method law.invention Contact force Classical mechanics Time history law Indentation Parametric statistics
Zdroj:	International Journal of Modern Physics B. 22:1349-1354
ISSN:	1793-6578 0217-9792
DOI:	10.1142/s0217979208046761
Popis:	In this paper, a solution method for the response of a thin shell structure subjected to low velocity impact by a sphere is presented. The governing equation of the impact process is obtained by simultaneously solving the equations of motions for the sphere and shell. The derivation is based on the explicit expression of the displacement of the mid-surface of the shell under a single impulse load acting normal to apex of the shell. Incorporating the theory of convolution and Hertz contact law, a non-linear integro-differential equation in terms of the indentation of the contact, for the impact process is derived. The non-linear integro-differential equation is solved by the numerical scheme of Runge-Kutta method to obtain the time history of the contact force at the impact point of the shell. The contact force is then applied on the apex of the shell, the dynamic responses of the shell including the displacement and stress are obtained by the finite element method. The results are validated with the experimental test and numerical calculation published in the literatures. The effects of the radius and velocity of the impactor on the impact response is investigated through parametric study.
Databáze:	OpenAIRE
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