Shape Optimal Design Using Inverse
Variational Principles
Author(s)
P. Prochazka
Abstract
At present, the optimal shape design of structures is of great importance.
Problems of this type mostly lead to very complicated nonlinear systems, and
therefore new optimization solutions are being sought. One very efficient tool
offers inverse variational principles. It starts with formulation of a variational
principle under the assumption that the volume (in the 2D area) of the domain
variables is constant. It can easily be shown that then the boundary density of
potential energy in the optimal state should be constant too. As the differences of
the density of the energy at the boundary nodal points may be very large, the
new positions of the boundary nodal points are determined in a special scale.
Since inverse variational principles, in connection with the boundary elemen
Keywords
Related Book
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