الفهرس 
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Abstract
Plates structures have been extensively used in many
industrial fields conducted to a variety of civil, mechanical,
aeronautical and architectural engineering constructions. The dynamic
inter-action between the floor and the excitations has attached
special interest recently.
Due to the difficulties of the analytical solutions of the
plate problems, very few analytical solutions are available and
limited to the simply supported condition of plate. Thus, numerical
methods are used to overcome these difficulties. Finite element and
finite difference methods are conducted to a large matrix of
simultaneous equations when either of them is used alone or combined
with the finite strip technique. To overcome the disadvantage of the
finite strip method based on a technique conducted to a large number
of algebraic equations, the new present method is used. The new
present method, Finite Strip Transition Matrix method FSTM, is a
hybrid procedure which combines the advantages of the series solution
of partial differential equation of orthotropic plate and transition
matrix method. The transition matrix, which is utilized to develop
the new FSTM technique, has been derived from the Runge-Kutta method
for the fourth order ordinary differential equation.