偏平 HP および EP シェルのフーリエ弾性解析 : 4 隅点支持および周辺固定境界問題

概要

論文の詳細を見る
In this paper, boundary value problem of Vlasov type differential equations for shallow hyperbolic and elliptic paraboloidal shells are discussed. Fourier method is introduced in order to obtain the analytical solution of the equations. Two typical boundary conditions for these shells are analyzed. One is point suppsrted on its four corners and all edges are free. Another is clamped along their all edges. The former is most severe condition and the latter is most advantageous condition for corner-supported shells. One remarkable point in this paper is the technique to introduce Fourier expansion into analysis. Dirichlet Condition clarifies the convergence in case that discontinuous functions are expanded to Fourier series. If we want to get perfect expansion throughout the whole interval including cornerpoint, that condition should be satisfied. For this purpose, suitable algebraical solutions of differeential equations are adopted adding to the homogeneous solutions of Fourier series. In order to define the elastic behavier of those shells, point-supported and clamped HP and EP shells, numerical examples are attached. For various two parameters to set the characterestic value of shells, span-thickness ratio a/t and rise/span ratio ca=f/a, stresses and deflection distributions are calculated. The relations among these two parameters and deflection W, bending moment M_x and resultant normal stress N_x at the center of shells are also shown graphically. For all cases, 20 terms of expansion are adopted and poisson's ratio is assumed to be zero.
社団法人日本建築学会の論文
1982-08-30

偏平 HP および EP シェルのフーリエ弾性解析 : 4 隅点支持および周辺固定境界問題

スポンサーリンク

概要

著者

関連論文

スポンサーリンク