论文部分内容阅读
本文指出:文献用弹性圆柱壳体的屈曲理论来讨论全球地震带的分布距离,从微分几何和力学的观点看都是不合理的。建议改用文献提供的弹性地基上的弹性薄扁球壳的弯曲方程组及其解来研究这一问题,其适用范围是地壳圆形底面的半径略大于1000公里(1000～1500公里)。如考虑的地壳地面最大长度为小于500公里,则可采用弹性地基上薄板弯曲的理论,这方面已有许多工作,例如见文献。
This paper points out that the literature discusses the distribution distance of the global seismic zone with the buckling theory of elastic cylindrical shell, which is irrational from the viewpoint of differential geometry and mechanics. It is suggested to study this problem by using the bending equations of elastic thin spherical shells on the elastic foundation provided by the literature and their solutions. The applicable scope is that the radius of the circular bottom surface of the crust is slightly larger than 1000 km (1000 ~ 1500 km). If the maximum crustal surface length considered is less than 500 km, then the theory of sheet bending on elastic foundations can be used, for which much work has been done, for example in the literature.