Identification of Boundary Condition for Thin Elastostatic Plate Bending Problems. 2nd Report, Introduction of Boundary Relations Using Influence Functions.

Abstract

This paper describes a method for identification of boundary conditions for elastostatic thin plate bending problems. In the present procedure, boundary conditions of the plate are represented by boundary integral relation including influence functions. The influence functions are defined as the deflection and rotation when shear force and bending moment are applied continuously on the supporting body. The influence functions approximated with polynomials can be determined numerically from these boundary quantities given by the method in the first report. Through some numerical demonstrations, it is shown that the boundary conditions of the plate can be identified well by the present inverse analysis based on the boundary element method.