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Questions about stresses distribution in pin-loaded orthotropic plates

Submitted by Jinxing.Huo on

Dear all,

I am now reading a paper about the stress distribution in pin-loaded orthotropic plates.

The paper 'Contact stresses in pin-loaded orthotropic plates' is written by Prof. M.W. Hyer.

In this paper, the stresses on the boundary of the hole in the plate are given by a complex Fourier series with unknown coefficietns Ak. The unknown coefficients Ak's are determined by a system of algebraic equations: [C]*{A}={B}. A collocation procedure is needed to construct the square matrix [C].

Due to two conditions uθ_pin=uθ_plate=0 at θ=0 and τ_pin=τ_plate=0 at θ=pi, two columns and rows in the matrix [C] become 0.

My question is: how do these two conditions lead to two columns of matrix [C] being zero?

Thank you in advance for your help!

 

Regards,

Jinxing