Full beam formulation of a rotating beam-mass system

B. Fallahi, Steven Hsin-Yi Lai, R. Gupta

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)


In this study a comprehensive approach for modeling flexibility for a beam with tip mass is presented. The method utilizes a Timoshenko beam with geometric stiffening. The element matrices are reported as the integral of the product of shape functions. This enhances their utility due to their generic form. They are utilized in a symbolicbased algorithm for the automatic generation of the element matrices. The timedependent terms are factored after assembly for better computational implementation. The effect of speed and tip mass on cross coupling between the elastic and rigid body motions represented by Coriolis, normal and tangential accelerations is investigated. The nonlinear term (geometric stiffening) is modeled by introducing a tensor which plays the same role as element matrices for the linear terms. This led to formulation of the exact tangent matrix needed to solve the nonlinear differential equation.

頁(從 - 到)93-99
期刊Journal of Vibration and Acoustics, Transactions of the ASME
出版狀態Published - 1994 一月 1

All Science Journal Classification (ASJC) codes

  • 聲學與超音波
  • 材料力學
  • 機械工業


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