Active and passive vibration control of dynamic systems using Shape Memory Alloys (SMAs) have received significant attraction because of its effectiveness in wide range of applications including aerospace, automobile and biomedical domain. A vibration isolation system comprising four bar linkage mechanism along with SMA wire is proposed in the present work for space related applications. Two different configurations of the proposed model as smart box stiffener are dynamically analyzed using Finite Element Method (FEM) in Abaqus. Mode shapes of both the configurations exhibit a combination of inflated and deflated behavior, therefore justifying the proposed vibration isolation system. Experimental investigation of the proposed system is carried out to examine the transmissibility of SMA wire. As future work, Genetic Algorithm (GA) will be used to optimize the configuration of the four bar mechanism and numerical analysis of the optimized assembly will be performed through user-subroutine (UMAT) code in Abaqus.