防撓矩形板に關する一考察

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Many theoretical and experimental investigations on reinforced rectangular plate have been published. The former has two ways. One of them is to solve the partial differential equation of reinforced rectangular plate in equilibrium under the required boundary conditons, and the other is by the method of strain energy. In either case, we must solve simultaneous equations in final calculation. Especially in the former case, simultaneous equations with infinite unknowns must be solved. Of course, we calculate simultaneous equations with finite unknowns approximately, but more terms are required for more accuracy in accordance with rigidity of reinforcement. And in the latter case, that is to say, strain energy method, we meet similar difficulties. The author proposed the following equation for rectangular plate with reinforcement at y-direction, [numerical formula] where w : deflexion of plate, D : rigidity of plate, P : lateral load on plate, I_1 : moment of inertia of i-th reinforcement, δ (x-x_i) : Dirac's impulse function, and he gave its solution as follows, [numerical formula] where [numerical formula] In case of the plate with one or two edges (opposite each other) clamped, lim [numerical formula] a_<mn> is taken for above a_<mn>, where [numerical formula] From the results, he reduced the formulae for rectangular plate with clamped edges and without reinforcement. Moreover, the author proposed a new calculation method of rectangular plate with concentrated load, by expressing the load in Dirac's impulse function. In this way, concentrated load is handled like uniformly distributed load.
社団法人日本船舶海洋工学会の論文

防撓矩形板に關する一考察

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