| Abstract: | A general approach to the solution of nonstationary problems of the theory of shells with local structure heterogeneities
is proposed. The approach is based on representation of solutions for the systems of differential motion equations of shell
theory in the form of expansions in terms of free forms of vibrations (FFV). Two implementations of the approach, involving
FFV expansions of certain members and FFV expansions of the system as a whole, are considered. The capabilities of the approach
are illustrated by results for specific problems. In the first implementation, we determine the dynamic stress-strain state
of a square plate with three rod supports. A round plate connected to a coaxial circular cylindrical shell is considered as
an example of FFV expansion of the system as a whole.
Special Design and Engineering Office, S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev.
Translated from Prikladnaya Mekhanika, Vol. 35, No. 10, pp. 46–53, October, 1999 |
