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3次元 R-S-S-R 機構의 最適設計 에 관한 硏究

A Study on the Optimal Design of a R-S-S-R Three Dimensional Mechanism

  • 김호룡 (연세대학교 공대 기계공학과) ;
  • 김경률 (연세대학교 대학원)
  • 발행 : 1985.07.01

초록

본 논문에서는 crank-rocker 운동에 의해 함수 y=sinx를 만족시키는 3차원 R-S-S-R 함수발생기구를 FDP(Fletcher-Davidon-Powell) 최적화 기법을 응용, 운동학적 으로 무오차점을 고려, 설계하려고 한다. 한편 상기와 같이 최적 설계된 기구의 실 제 운동과 요구된 운동과의 오차분석 및 운동 가능성 여부(mobility check)를 검토하 였으며 FDP 최적화 기법에 필요한 벌칙함수(penalty function)로써 Fiacco-McCormic- krhk Powell의 벌칙함수를 사용하여 그 결과를 비교하였다.

A R-S-S-R three dimensional mechanism is designed for crank-rocker type through the optimization technique. The nonlinear kinematic equation of the mechanism is formulated by adopting the concept of structural error and precision points. Taking this equation as an objective function, the required mechanism is optimally synthesized by the Fletcher-Davidon-Powell's method of optimization techniques. The structural errors due to the various positions of precision points are compared, and the results from the use of two penalty functions suggested respectively by Fiacco-McCormick and by Powell are also compared on their effectiveness. The mobility of the optimally designed mechanism is checked for the possibility of its motion, and when a mechanism is optimally designed, it is strongly suggested that the mobility must be checked on the designed mechanism.

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