Abstract
A power series solution is presented for the non-linear free vibration of beams with restrained ends. The analysis is based on transforming the time variable into an oscillating time which allows the motion of the beam, assumed to be periodic, to be expressed as a double power series that is convergent for all time. A recurrence relation is used to determine the series coefficients, with the initial movement satisfying the boundary conditions as its basis. Results are obtained for simply supported and clamped beams and compared with available solutions.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
