Computational Structural Engineering (전산구조공학)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Analysis of Nonlinear Forced Vibrations by Ritz Vectors for a Stepped Beam

Ritz벡터를 이용한 변단면 보의 비선형 강제진동 해석

  • 심재수 (경희대학교 공과대학 토목공학과) ;
  • 박명균 (현대엔지니어링)
  • Published : 1993.03.01
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Abstract

A Stepped beam with immovable ends under forced vibrations with large amplitude is investigated by using the finite element method and the Ritz vectors. Unlike the Eigen vectors, the Ritz vectors are generated by a simple recurrence relation. Moreover the Ritz vectors yield much faster convergence with respect to the number of vectors used than the use of Eigen vectors. The computer program is developed for nonlinear analysis using Ritz vectors instead of Eigen vectors and numerical examples are analysed for deflections and natural frequencies of stepped beam under various support conditions. Results show that the proposed method is valid and efficient.

Keywords

References

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