| Summary: | 碩士 === 國立成功大學 === 機械工程研究所 === 83 === In the present study, the analysis of dynamic response for
plate structures is presented. The first, the governing
equations and the associated boundary conditions for an
nonuniform plate, resting on a Winkler elastic foundation, with
time dependent boundary conditions, and general transverse
forces, are derived via the Hamilton's principle. The non-
homegeneous boundary conditions are transformed into
homogeneous ones through the procedure of change of dependent
variable. By utilizing the Laplace transform and inverse
transform, the dynamic response of the nonuniform plate is
obtained. Because it is assumpted that the transverse force per
unit area p(x,y,z) ,the exciting functions (i.e. the slope of
the base, the displacement of the base , the external monent
the shear force excitations,the translational spring constants,
and the rotational spring constants at the left end and the
right end of the plate) are odd functions, it is only apply for
the case where the transverse force per unit length p(x,y,z)
the exciting functions are odd functions. The shifting
functions in terms of the fundamental solutions of nonuniform
plate are presented and the pysical meaning of these shifting
functions are explored.the shifting functions takes the physic
meanings as the non-dimensional static deflection of a
generally elastically restranined plate subjected to a unit non-
dimensional monment and a unit non-dimensional slope of the
base at the left end ,a unit non-dimensional shear force and a
unit non-dimensional displacemint of the base at the left end,
a unit non-dimensional monment and a unit non-dimensional slope
of the base at the right end ,a unit force and a unit non-
dimensional displacemint of the base at the right end of plate.
This shifting functions can be applied to calculate the closed-
form stiffness matrix of nonuniform plate elements. In this
paper, the coefficients of the shifting function in the general
case and the limiting five cases are presented.
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