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Structural Engineering and Mechanics
  Volume 5, Number 3, May 1997 , pages 297-306
DOI: https://doi.org/10.12989/sem.1997.5.3.297
 


Analysis of a cantilever bouncing against a stop according to Timoshenko beam theory
Tsai HC, Wu MK

 
Abstract
    The bouncing of a cantilever with the free end pressed against a stop can create high-frequency vibration that the Bernoulli-Euler beam theory is inadequate to solve. An analytic procedure is presented using Timoshenko beam theory to obtain the non-linear response of a cantilever supported by an elastic stop with clearance at the free end. Through a numerical example, the bouncing behavior of the Timoshenko and Bernoulli-Euler beam models are compared and discussed.

 
Key Words
    Timoshenko beam, impact, gap, nonlinear vibration
 
Address
Tsai HC, NATL TAIWAN INST TECHNOL,DEPT CONSTRUCT ENGN,POB 90-130,TAIPEI 10772,TAIWAN
 

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