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몬테카를로 시뮬레이션에 의한 랜덤 진동 구조계의 이단계 최적설계

Optimum Design of the Random Vibration Structural System Using Two Steps Approach with Monte Carlo Simulation

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주제분류기계공학

초록

Structural dynamic system involves random variables conditions such as material property, geometric parameters and applied loads. This uncertainties result from the structural parameter are carefully considered the dynamic structural response in displacement, stress, and natural frequencies. The random vibrational system must be designed to withstand a certain amount of the fluctuation with respect to the uncertainties. Harmonic response of a spring-mass system is mathematically modelled with the probabilistic finite element method using the Monte Carlo simulation. The aim of this paper is to find the optimal lowest frequency for the spring-mass system with random input variables and response parameters to the displacements. The probabilistic design is carried out using ANSYS probabilistic design module in a commercial application software and then the optimal design is sequentially solved. An efficient and practical optimal design evaluation method is proposed for the design of the harmonic system. The numerical results are obtained where the next highest frequency of the system and displacements treated as constraints.

Abstract

Structural dynamic system involves random variables conditions such as material property, geometric parameters and applied loads. This uncertainties result from the structural parameter are carefully considered the dynamic structural response in displacement, stress, and natural frequencies. The random vibrational system must be designed to withstand a certain amount of the fluctuation with respect to the uncertainties. Harmonic response of a spring-mass system is mathematically modelled with the probabilistic finite element method using the Monte Carlo simulation. The aim of this paper is to find the optimal lowest frequency for the spring-mass system with random input variables and response parameters to the displacements. The probabilistic design is carried out using ANSYS probabilistic design module in a commercial application software and then the optimal design is sequentially solved. An efficient and practical optimal design evaluation method is proposed for the design of the harmonic system. The numerical results are obtained where the next highest frequency of the system and displacements treated as constraints.

참고문헌 (10)

  1. S. S. Rao, "Mechanical Vibrations" (1990), Addison-Wesley Publishing Company
  2. 이병우, "확률 구조 해석을 사용한 불확정 구조계의 이단계 최적설계", 한국기계기술학회지, 16(3), pp.1429~1434 (2014), 한국기계기술학회
  3. 이병우, "몬테카를로 시뮬레이션을 적용한 불확정 구조계의 형상 최적설계", 한국기계기술학회지, 17(2), pp.239~244 (2015), 한국기계기술학회[DOI]
  4. J. S. Lee, "Optimum Design of the Random Structural Dynamic System by Using the Direct System", Dept. of Mechanical Engineering, pp.1997
  5. W. S. Cho, "Natural Frequency Optimization to Design Reinforcement of Vibratory Machine", Proceeding of the Society of Manufacturing Technology Engineers (2015)
  6. Arora, J. S., "Introduction to Optimum Design" (1989), McGraw-Hill, Inc
  7. 김철수, "몬테카를로 시뮬레이션을 이용한 증기 터빈블레이드재의 확률론적 해석", 대한기계학회논문집 A, 26(11), pp.2421~2428 (2002), 대한기계학회
  8. Swanson Analysis System, "User’s Manual" (2010), SAS IP, Inc
  9. R. K. Vierck, "Vibration Analysis" (1979), Harper & Row Publishers
  10. H. J. Kim, "University Statistics" (1985), Sangjo co

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