Nonlinear Analysis of Stepped Beam Immovable Ends for Free and Forced Vibrations

양단지지된 변단면보의 자유 및 강제진동의 비선형해석

  • 심재수 (경희대학교 토목공학과) ;
  • 함원식 (경희대학교 토목공학과)
  • Published : 1990.06.01


A stepped beam with immovable ends under the free and forced vibrations with large amplitude is investigated by using the finite element method to show the effects of longitudinal displacement, shear deformation and rotary inertia. A modified harmonic force matrix is introduced for analysis of finite amplitude vibration of the stepped beam under uniform harmonic loading and a beam under nonuniform harmonic loading. 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.