不静定立体トラス平板の差分法による解法(その 3) : 十字形四階線形偏差分方程式の解法 : 周辺単純支持

概要

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In previous report, force equilibrium and equations of deformation about spaced plate have been expressed in form of difference equations, from which relations between stress of chord, deformation and external forces were obtained. If ew neglect lattice element, we will have crossed linear partial difference equation. Then the problem can be numerically solved either by the calculation of simultaneous algebraic equations with many unknowns, or by general methods. To begin with, as these equations are partial difference, it is necessary to express these equations by unknown functions of x-and y-direction respectively when general solutions of homogeneous difference equation are sought, from which we can obtain linear ordinary difference equations. Then by an analysis of difference determinant of equations derived from linear ordinary difference equation with respect to boundary conditions of imple support around edges, we can arrive at solution of obtaining proper values or proper functions by calculation.
社団法人日本建築学会の論文
1965-01-30