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Structural Engineering and Mechanics
  Volume 42, Number 1, April10 2012 , pages 95-119
DOI: https://doi.org/10.12989/sem.2012.42.1.095
 


Response of forced Euler-Bernoulli beams using differential transform method
Seval Catal

 
Abstract
    In this paper, forced vibration differential equations of motion of Euler-Bernoulli beams with different boundary conditions and dynamic loads are solved using differential transform method (DTM), analytical solutions. Then, the modal deflections of these beams are obtained. The calculated modal deflections using DTM are represented in tables and depicted in graphs and compared with the results of the analytical solutions where a very good agreement is observed.
 
Key Words
    differential transform method; forced vibration; partial differential equations; natural frequencies
 
Address
Seval Catal: Department of Civil Engineering, Faculty of Engineering (Applied Mathematics), Dokuz Eylul University, Izmir, Turkey
 

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