This research presents a comparative analysis of the two important design methodologies involved in developing Microelectromechanical Systems (MEMS) vibrating ring gyroscopes, namely internal and external ring frame structures. Internal ring frames are constructed with the outside placement of support pillars connected with the elastic beams that are attached to the vibrating ring structure. The design importance of this particular setup effectively isolates the vibrating ring structure from any external mechanical vibrations, significantly improving the gyroscope's performance. The Internal ring structure provides exceptional precession and reliability, making this design an ideal candidate for harsh conditions, as they can sustain substantial amounts of unwanted and external vibrations without degrading the performance of the gyroscope. On the other hand, external ring frame designs include the placement of the support pillars within the vibrating ring structure. This particular design setup is quite convenient in terms of fabrication and provides higher gyroscopic sensitivity. However, this design may lead to coupling the vibrational modes and potentially compromise the performance of the gyroscope. This research discusses and compares the finding of static structural, modal, and harmonic analyses of the two distinguished design approaches for the MEMS vibrating ring gyroscopes.