A Simplified Method for Analysis of Nonlinear Boundary Condition Problems of Longitudinal Vibration of Rod

@inproceedings{Ahrari2013ASM,
  title={A Simplified Method for Analysis of Nonlinear Boundary Condition Problems of Longitudinal Vibration of Rod},
  author={Reza Ahrari and M. Salehi Shadkami},
  year={2013}
}
Nonlinear phenomena, which appear in many fields of applied scientific fields, can be modeled by partial differential equations. Adomian decomposition method is employed in this paper to solve partial differential equation of free longitudinal vibration of rod with different nonlinear boundary conditions. A simple procedure is then introduced for calculating the first natural frequency of the system. The results are in excellent agreement with those obtained from ADM in some cases of the… CONTINUE READING

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