Fluctuation and Frequency of the Oscillators with Exponential Spring Using Accurate Approximate Analytical Solutions

Abstract

This paper examines the fluctuation and frequency of the motion of a homogeneous solid on a horizontal plane on an exponential crisscross spring. The governing equations of this oscillator are investigated using a modified Homotopy Perturbation method, Energy balance method and artificial parameter–Linstedt–Poincare’ method. A comparison of solutions shows that the fluctuation and frequency of the system solved by the presented methods are effective with a minor error of 0.1%.