应用数学和力学（英文版）
應用數學和力學（英文版）
응용수학화역학（영문판）
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2014年
12期
1591-1606
,共16页
周伟平%胡超%刘殿魁%Dian-kui LIU
週偉平%鬍超%劉殿魁%Dian-kui LIU
주위평%호초%류전괴%Dian-kui LIU
refined vibration equation%complex variable and conformal mapping method%two holes%elastic wave scattering and dynamic stress concentrations%thick plate
Based on complex variables and conformal mapping, the elastic wave scat-tering and dynamic stress concentrations in the plates with two holes are studied by the refined dynamic equation of plate bending. The problem to be solved is changed to a set of infinite algebraic equations by an orthogonal function expansion method. As examples, under free boundary conditions, the numerical results of the dynamic moment concen-tration factors in the plates with two circular holes are computed. The results indicate that the parameters such as the incident wave number, the thickness of plates, and the spacing between holes have great effects on the dynamic stress distributions. The results are accurate because the refined equation is derived without any engineering hypothese.
