Vibration and stability of non-uniform cracked Timoshenko beam subjected to follower force

✍ Scribed by I. Takahashi

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 207 KB
• Volume: 71
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(98)00233-8

✦ Synopsis

An analysis is presented of the vibration and stability of a non-uniform cracked Timoshenko beam subjected to a tangential follower force distributed over the center line by use of the transfer matrix approach. For this purpose, the governing equations of the beam are written as a coupled set of ®rst-order dierential equations by using the transfer matrix of the beam. Once the matrix has been determined by the numerical integration of equations, the eigenvalues of vibration and the critical ¯utter loads are obtained. The method is applied to beams with linearly varying radii, subjected to a concentrated follower force, and the natural frequencies and ¯utter loads are calculated numerically, to provide information about the eects on them of varying cross-section, span and stinesses of intermediate supports, and the position and depth of the crack.