不等距離差分法による応力解析(その5) : 境界条件直接消去法による棒のねじれ応力解析
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This paper is divided into 6 parts. The contents of each part are as follows. 1. Introduction This is the fifth paper on the "Non-equidistant Finite Difference Method" prepered by the author. First of all, a summary is made of the preceding four papers and the development of the method is reviewed. 2. Matrix Expansion of Finite Difference Method Matrix expansion has been applied to the basic equation of the finite difference method, which has been obtained from the Taylor Expansion and has been published in the prceding paper No. 4. A calculation algorithm of coefficients of this matrix has been derived in the BASIC language. 3. Derivation of Boundary Condition Equation by Direct Elimination Method Instead of the indirect elimination method which has been used in the preceding four papers, a direct elimination method is used to derive the boundarg condition equation. This method is applied to torsion in a bar and a calculation algorithm of the boundary matrix has been derived using this method. 4. Development of Balance Equation for Bar Torsion Analysis A calculation algorithm of the coefficients of the matrix of a balance equation which meets the above boundary conditions, has been derived. 5. Analysis Example and Errors Many cases of bar torsion have been analysed and a comparative study of calculation errors has been made. 6. Conclusion In this paper, the practicality of the direct elimination method for derivation of the boundary condition equation has been verified.
- 社団法人日本建築学会の論文
- 1986-05-30
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関連論文
- 不等距離差分法による応力解析(その5) : 境界条件直接消去法による棒のねじれ応力解析
- 不等距離差分法による応力解析 (その 4)
- 不等距離差分法による応力解析(梗概)
- 設計事務所におけるコンピュータ・グラフィックス (建築におけるコンピュータ・グラフィックス)