Abstract:

The longitudinal oscillation of a nonlinear elastic circular-rod waveguide with lateral inertia was studied. By introducing appropriate trial functions, the nonlinear partial differential equation, that is difficult to solve by the usual ways can be reduced to a set of algebraic equation, which can be easily solved, and its related coefficients can be easily determined by the method of undetermined coefficient. Finally, the analytical solution to the equation was successfully derived.
 

Key words: trial function method; nonlinear wave; exact solution