Determination of the Natural Frequencies and Mode Shapes of Large Structures by Accelerated Newton-Raphson Method

Accelerated Newton-Raphson 방법에 의한 대형구조물의 자유진동수와 모우드형의 결정

  • 김만철 (한국과학기술원 토목공학과) ;
  • 이인원 (한국과학기술원 토목공학과)
  • Received : 1994.06.07
  • Published : 1994.09.30


For the design of various structures, the dynamic analysis of the structures is essential. Eigenproblem must be first computed when the mode superposition method is used in the dynamic analysis of the structures. However, since most of solution time is spent on calculating the eigenpairs of the system, the development of more efficient solution method is required. The purpose of this paper is to present the efficient solution method that combines the Robinson-Lee's method and accelerated Newton-Raphson method to improve numerical stability and increase convergence. Effectiveness of the proposed method is verified through numerical examples.