Plate Theory and Extensions - The Plate Theory > Page 9

                                 

                                 

Multiplying throughout by ev,

 

                               

Now, this equation can be recognized as the differential of a product.

Hence,                                

Integrating,                             

Now, when v = 0, Xm(1) = 0, thus, k = 0.  Furthermore,

                                                 

In a similar way it can be shown that