縦横に防撓材を有する矩形薄板の強さ及固有振動数
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概要
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In this paper it is intended to obtain practical formulae, which are to be used readily in ship designing office, without resorting to much complicated mathematical treatment as has been usually the case in these kinds of problems. Firstly, so-called effective breadth of plate which co-operates with stiffeners was investigated. Next, considering the structure as a latticed frame, built by stiffeners and plates of effective breadth, covered with a thin flexible film, and applying the method of solution of energy principle, the following formulae have been obtained. After executing small scale model experiments and further comparing with the measurements of actual case it was ascertained that these formulae coincide in practical bound with the above actual state, and it seems that these formulae may be used with reasonable credit in the practical uses. 1. Maximum deflection and stresses under uniform pressure. (a) Four sides built in. [numerical formula] at the center of side a (in the direction of side b). (b) α-sides built in and b-s des freely supported. [numerical formula] at the center of side α (in the direction of side b). [numerical formula] at the center of rectangular plate (σb is in the direction of side b and σa that of side α). (c) Four sides freely supported. [numerical formula] at the center of rectangular plate (σb is in the direction of side b and σa that of side α). 2. Critical compresaive force for buckeing (force on α-sides). (a) Four sides built in. [numerical formula] (b) α-sides built in and b-sides freely supported. [numerical formula] (c) b-sides built in and α-sides freely supported. [numerical formula] (d) Four sides freely supported. [numerical formula] 3. Lowest frequency of natural vibration. (a) Four sides built in. [numerical formula] (b) α-sides built in and b-sides freely supported. [numerical formula] (c) Four sides freely supported. [numerical formula] In the above it is to be ma≧2,mb≧2,and when the case m=1 it is to be taken m+1=8/3.
- 社団法人日本船舶海洋工学会の論文
- 1936-08-20
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