Coriolis vibratory gyroscope is one of the most modern types of gyroscopes that has been substituted for the common gyroscopes with some differences in the test mass design and elastic suspension. According to the important features observed in the capacitive excitation of the actuators regarding the piezoelectric actuators, the operation principles and their formulations are completely changed, which require both two dimensional and finite element analysis to evaluate their optimal performance. Because the sensors are usually vibrating continuously while operation, in this paper a general framework is presented that fully describes the influence of the parameters related to different frequency operating modes. The main idea of the vibration gyroscope is to replace the rotational rotor with a vibrational structure to utilize the effects of Coriolis force, which causes the secondary motion of a sensitive mass to match an angular velocity. In this paper, the sensitivity analysis and performance evaluation of a hemispherical vibrational gyroscope are discussed. The frequency split phenomenon, the sensed voltage around the resonance frequency and Young's modulus variation are also investigated. Finally, the results of the simulated resonance frequencies are compared and validated with the mathematical and theoretical principles.