Filament Winding Structures under Concentrated Forces

概要

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On the assumption that the cords are inextensible in filament winding structures, the plane stress problem of a rectangular strip subjected to normal concentrated loads acting on a pair of opposite sides is solved in this paper. The superposition of simple systems of stresses and displacements on this solution gives the solution for the problem of the extension of a rectangular strip, fixed along the sides perpendicular to the direction of extension. Moreover, on two-dimensional boundary-value problems of filament winding structures with inextensible cords, the following results are shown : First, the discontinuity of stresses and displacements on boundaries induces the corresponding discontinuity on characteristic curves passing through discontinuous points on boundaries ; second, if concentrated forces are applied to boundaries, concentrated tensile stresses are produced on characteristic curves passing through the points of application of the forces ; and third, if discontinuous points exist on boundaries, the assumption introduced to simplify the analysis is not necessarily effective.
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