This study numerically compares optimum solutions generated by element- and node-wise topology optimization designs for free vibration structures, where element-and node-wise denote the use of element and nodal densities as design parameters, respectively. For static problems optimal solution comparisons of the two types for topology optimization designs have already been introduced by the author and many other researchers, and the static structural design is very common. In dynamic topology optimization problems the objective is in general related to maximum Eigenfrequency optimization subject to a given material limit since structures with a high fundamental frequency tend to be reasonable stiff for static loads. Numerical applications topologically maximizing the first natural Eigenfrequency verify the difference of solutions between element-and node-wise topology optimum designs.

1. 서론
2. 정적 위상최적설계 문제의 정식화
    2.1 다중재료 보간식
    2.2 위상최적화 공식
3. 동적 위상최적설계 문제의 정식화
    3.1 자유진동 구조시스템
    3.2 질량행렬의 정식화 및 민감도해석
    3.3 SIMP 동적 위상최적설계 전산 알고리즘
4. 적용 예제
    4.1 양단고정 보의 정적 및 동적 위상결과
    4.2 켄틸레버 보의 정적 및 동적 위상결과
5. 결론
References

• 이동규(세종대학교 건축공학과 정교수, 공학 박사) | Lee, Dongkyu (Department of Architectural Engineering, Sejong University)
• 신수미(부산대학교 생산기술연구소 연구교 수 공학박사) | Shin, Soo Mi (Research Institute of Industrial Technology, Pusan National University) Corresponding author