Free Vibrations of Arbitrary Tapered Beams with Static Deflections due to Arbitrary Distributed Dead Loads

임의분포 사하중에 의한 정적처짐을 고려한 임의 변단면 보의 자유진동

  • 이병구 (원광대학교 토목환경공학과) ;
  • 오상진 (원광대학교 대학원) ;
  • 이용 (원광대학교 대학원)
  • Published : 1995.04.01

Abstract

A numerical method is presented to obtain natural frequencies and mode shapes of the arbitrary tapered beams with static deflections due to arbitrary distributed dead loads. The differential equation governing the free vibration is derived and solved numerically. In the numerical example, the linearly tapered beams and both the triangular and sinusoidal distributed dead loads are chosen. The lowest three natural frequencies are reported and typical mode shapes are presented in the figure.

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