Ah. Sheikh et M. Mukhopadhyay, FORCED VIBRATION OF PLATES WITH ELASTICALLY RESTRAINED EDGES BY THE SPLINE FINITE STRIP METHOD, JSME international journal. Series C, dynamics, control, robotics, design and manufacturing, 36(3), 1993, pp. 301-306
The spline finite strip method applied so far to the free vibration an
alysis of plates with classical boundary conditions has been extended
to the forced vibration analysis of plates with edges elastically rest
rained against both translation and rotation. The steady-state respons
e of plates under harmonic excitation is studied in this paper. The fo
rmulation has been generalised, so that arbitrarily shaped plates with
restrained curved boundaries can be handled. The contribution of the
edge restraining has been incorporated in the structural stiffness usi
ng a consistent formulation. Deflection and bending moment amplitudes
have been determined for different edge restraints, aspect ratios, for
cing frequencies and plate shapes, as available in the literature, and
comparison of the results indicates good accuracy.