The primary research goals for analyzing the dynamic behavior of compliant mechanisms focus on optimizing the design, enhancing performance, and ensuring reliability in various applications, such as aerospace, precision instruments, and biomedical devices. This work aims to improve the result accuracy of the analytical method of the calculation tool CaTEf for determining the natural frequencies of compliant mechanisms. Specifically, the approximation of flexure hinge contours is refined, ensuring a more accurate representation within the beam theory framework and better result accuracy. Additionally, the frequency detection method is updated to enhance the identification of natural frequencies, particularly in cases where degenerate modes or closely spaced frequencies occur. These advancements improve the predictive capability of the analytical model, increasing both accuracy and efficiency while providing a reliable alternative to numerical approaches.