Optimal Thickness Design Of Laminated
Cylinders With Linearly Distributed Prestress
Author(s)
P. Procházka
Abstract
Recently the author published several papers on optimal prestress of laminated
composites with lamina-wise uniform distribution of prestresses. The result of
such an approach leads to the uniform distribution of stresses through the
thickness of the structure under consideration (laminar hollow cylinders, plates,
etc.). It appears from practical applications that in the case of hollow laminar
cylinders the distribution of prestresses is rather linear then uniform and it is
more appropriate to consider such a type of prestressing. In order to express the
prestressing, eigenparameters are used. They were applied to different types of
structures recently. They have been introduced as a generalization of
Transformation Field Analysis, established by G.J. Dvorak from RPI, Troy,
USA. The generalization was done by Dvorak and the author of this paper.
The method from the numerical point of view leads to a linear system of
equations for unconstrained problems and when restrictions are imposed on the
stresses a nonlinear problem is to be solved. The solution of such systems is
relatively simple and is briefly mentioned in this paper. The application of the
proposed problem is suitable for structures from composite materials, for
laminated or layered structures, etc. In our study a laminated hollow cylinder
will be investigated from the theoretical standpoint and also some examples will
be presented. The linear distribution of eigenparameters is considered.
1 Introduction
Recently, the author with coauthors have published several papers, e.g. [2], [4],
on optimization of stresses controlled by an appropriate choice of
eigenparameters in certain sense (plain optimization, the optimization of
reinforcing prestresses, the lay-ups and prestressing). These optimizations were
Keywords
Related Book
Other papers in this volume
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