Application of reciprocal theorem for calculating the transverse displacement equations of the thin elastic circular plates

Abstract

On the basis of [I]

A method using the reciprocal theorem to solve the bending of thin elastic semicircular plates

“…Ref. [1][2][3][4] extended the reciprocal theorem to the elastic circular plates. This paper further applies the reciprocal theorem to obtain the transverse deflectional equations of the semicircular plates.…”

The symmetrical bending of an elastic circular plate supported atK internal points

“…This paper makes use of the method proposed by [6] to study the symmetrical bending of the uniformly loaded circular plate supported at k points equally spaced along the circumference of a 1091 concentric circle. After we evaluate several simple integrations, the analytic expressions of the transverse deflectional equations of the circular plates are obtained.…”