등기하해석법을 이용한 자유진동 평면구조물의 위상최적화

다국어 초록 (Multilingual Abstract)

Isogeometric concept is introduced to find out the optimum layout of plane structure under free vibration. Eigenvalue problem is formulated and numerically solved in order to obtain natural frequencies and mode shapes of plane structures. For the exact geometric expression of the structure, the Non-Uniform Rational B-spline Surface (NURBS)　basis functions　is employed and it is also used to define the material density functions. A node-wise design variables is adopted to deal with the updating of material density in topology optimization (TO). The definition of modal strain energy is employed to achieve the maximization of fundamental frequency through its minimization. The verification of the proposed TO technique is performed by a series of benchmark test for plane structures.

목차 (Table of Contents)

• Abstract
• 1. 서론
• 2. 기하학적 정의
• 3. 등기하해석 개념
• 4. 평면응력요소
• 5. 위상최적화 문제정의
• 6. 수치예제
• 7. 결론
• REFERENCES

참고문헌 (Reference)

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