보의 解析을 爲한 有限要素法에 依한 統制方程式의 一般形에 關한 硏究 = On the General Form of the Governing Equation for Beam Analysis by Finite Element Method

다국어 초록 (Multilingual Abstract)

In order to obtain the general solution for any beam by finite element method, to eliminate the defects of finite element about the beam used in the past, and also to apply the various type of beam, a general beam finite element is developed.
The general form of matrix governing equation in domain is derived on this base by minimizing the total energy. It will be of great advantage to applicability under any type of beam, and also to decreasing computing time.

목차 (Table of Contents)

• Ⅰ. 서론
• Ⅱ. 유한요소의 지정
• 2-1 기하학적인 모양과 자유도
• 2-2 요소내부의 변위함수
• 2-3 변형율 변위관계
• Ⅲ. 통제방정식의 일반형
• 3-1 운동에너지
• 3-2 변형에너지
• 3-3 위치에너지
• 3-4 통제방정식의 일반형
• Ⅳ, 상수 matrix의 계산
• 4-1 mass matrix[M]
• 4-2 stiffness matrix[K]
• Ⅴ. 결론