Note on the Green's function of an elastic plate

Abstract

1. An expression in finite terms is found in §§2,3 for the small displacement of a thin elastic plate due to the application of a transverse force at an arbitrary point; the plate is infinite and is bounded internally by an ellipse along which it is clamped. The limiting case in which the ellipse degenerates to a straight line is considered in §4, and the other limiting case of a circular boundary in §5.