STSDM is recognized as an effective technique for addressing a broad spectrum of challenges encountered in Engineering and Sciences. It yields a series solution that diverges, akin to the approach employed in DTM. In the pursuit of obtaining periodic solutions, the strategy of modified DTM is harnessed, incorporating LT for achieving this goal. By integrating Pade’s Approximant and ILT, researchers introduce a means to derive periodic solutions. Through an examination of a Standard Duffing Equation of Motion marked by symmetric oscillations, numerous scholars have delved into the efficacy of STSDM. This present research endeavor probes the utility of STSDM in deciphering the asymmetric oscillations inherent to a nonlinear Simple Helmholtz Equation of Motion.