Abstract
The characteristic of the change in form of shallow shells are studied in this paper. To avoid complicated boundary conditions, shells with simple supports are taken up and the bending is solved with parameters applicable to various dimensions of experimental model and actual large span structure. The mechanical characteristics of H. P. shell are studied from the results of numerical analysis made on various shells. The immediate problem is the choise of parameter values to suit the purpose; various diagrams necessary for determination of form parameters and shell parameters from mechanical point of view were prepared, which facilitated numerical analysis of structure of practicable dimensions. The analysis is made on a saddle type general H. P. shell chosen out of shells of various types, and the bending is solved in Levy type with Fourier series by introducing a displacement function into the fundamental differential equation for shallow shells. By using the parameters determined by the above method, the bending of a rectangular H. P. shell with free edges supported simply by rigid traverses is solved. By numerical analysis made on shells of various dimentions, mechanical properties of general H. P. shells are determined as functions of the ratio of rise to span for given values of the ratio of total rise to shell thickness. Use of digital computer facilitated the calculation of translational shell; in 1955, D. Rudiger-J. Urban treated the solution of parabolic cylindrical shell; in 1951, Kristoffer Apeland published a paper on boundary value problem in connection with the translational shell. There is some consistency between the above two studies. The author developed several matters dealt with in those studies and made various diagrams to find the factors that determine technically most effective parameters, whereby he proposed a method of solving the bending for H. P. shells of practicable dimensions.
