高次理論に基づく円筒シェル理論の定式化と精度特性

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In this paper, the most general higher-order equations of three-dimensional static and dynamic theories for a circular cylindrical shell are derived by expanding the displacements into an infinite power series with respect to the radial coordinate of the shell. The present formulation can be taken into account acctually any higher-order terms for both cases of static and dynamic problems. Several theories which were proposed previously, can be deduced by the employment of the lower-order terms in our theory. Three typical theories such as 3-order theory, Levinson-type theory and Levinson-Voyiadjis-Baluch-type theory are also newly derived from the present formulation. Numerical results of natural frequencies for simply-supported cylindrical shells are compared to the exact solution as well as many theories.
1988-10-25