Response Of Laminated Arches To Impact Loads
Author(s)
P. P. Procházka & A. E. Yiakoumi
Abstract
In various structures arches of a circular shape are exposed to impact loading.
Such structures involve the linings of tunnels of different kinds, cockpits of
aircrafts, parts of submersibles, etc. The problem is solved as pseudo
three-dimensional, i.e. generalized plane strain is considered after introducing the
development of time and hoop direction to the Fourier series. This assumption is
in very good compliance with the natural behavior of the above mentioned
structures and moreover, it enables us to describe mathematically several
phenomena such as dissipation layers inside the arches, optimal distribution of
reinforcement, and so on. In the radial direction the linear finite element like
approach is introduced. The reason for this is the fact that the layers are
considered thin enough and the explicit solution leads us to Bessel functions,
which are not transparent enough. The base functions in the hoop direction are
selected for simply supported arches, but the generalization of the prescribed
supports is possible using the application of auspicious moments (rotations) at
the end lines.
Keywords: circular laminated arches, semianalytical method, dumper layer,
impact load.
1 Introduction
In this paper the vibration of laminated cylindrical arches subject to excitation
loading is solved in the generalized plane strain state. The application can be
seen in a wide scale of applications, such as in the fields of the assessment of
elements of submersibles, airplanes, underground structures and others.
First the Hamiltonian is formulated in the cylindrical coordinates and the
equations of equilibrium are then derived. By introducing series in the hoop
Keywords
circular laminated arches, semianalytical method, dumper layer,
impact load.
Related Book
Other papers in this volume
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