|
Abstract Abstract: In this paper, based on complex variables and conformal mapping methods, using the refined dynamic equation of plates[9], elastic wave scattering and dynamic stress concentrations in plates with an arbitrary cutout were studied. Applying the orthogonal function expansion method, the problem to be solved can be reduced into the solution of a set of infinite algebraic equations. As examples, under free boundary conditions, numerical results of dynamic moment concentration factors in thick plates with a circular, elliptic cutout were computed, and then, the influences of the thickness ratio to the cutout radius on dynamic moment distributions were also analyzed. The results indicate that the parameters such as incident wave number, thickness of plates and elliptic eccentricity ratio have a great effect on dynamic moment distributions. It is shown that at a higher frequency, the numerical results, which are from the Mindlin theory and the refined theory, respectively, are different. The results are more accurate because the refined equation is derivative without using any engineering hypotheses.
|
2013, Vol. 34 
