This research focuses on improving the accuracy and reducing measurement errors of piezoelectric sensors through modeling and simulation. The study examines the physical behavior of piezoelectric sensors and derives a mathematical formula relating sensor accuracy to relative movement or vibratory displacement. The model is validated through simulations and experimental tests. By optimizing the damping rate, the performance of piezoelectric sensors can be enhanced, leading to improved vibratory analysis techniques. Piezoelectric sensors convert mechanical vibrations into electrical signals via the piezoelectric effect. They are widely used in industries due to their low cost, temperature and pressure insensitivity, and high sensitivity. The study models the physical behavior of piezoelectric sensors as a single-degree-of-freedom system with mass, spring, and damping components. The relative motion of the sensor is derived from the absolute motion of the vibrating structure. The natural frequency of the sensor must be higher than the vibratory frequency to avoid resonance. The damping rate is defined as the ratio of damping coefficient to the product of the seismic mass and natural frequency. By optimizing the damping rate, the sensor's accuracy can be maximized. The study shows that a damping rate of 0.68 achieves the highest accuracy (P ≥ 99.7%). The research also validates the model through experimental tests using a measurement chain consisting of a piezoelectric sensor, amplifier, and FFT analyzer. The results show that the experimental data closely matches the simulation results, confirming the model's validity. The model enables the development of a new piezoelectric sensor design with improved parameters such as damping rate and accuracy. The study concludes that piezoelectric sensors are crucial for monitoring and fault diagnosis in electromechanical systems. The proposed model and optimization techniques enhance the accuracy and effectiveness of piezoelectric sensors in vibratory analysis applications. The findings contribute to better design and implementation of piezoelectric sensors, improving their ability to capture and analyze vibratory movements.This research focuses on improving the accuracy and reducing measurement errors of piezoelectric sensors through modeling and simulation. The study examines the physical behavior of piezoelectric sensors and derives a mathematical formula relating sensor accuracy to relative movement or vibratory displacement. The model is validated through simulations and experimental tests. By optimizing the damping rate, the performance of piezoelectric sensors can be enhanced, leading to improved vibratory analysis techniques. Piezoelectric sensors convert mechanical vibrations into electrical signals via the piezoelectric effect. They are widely used in industries due to their low cost, temperature and pressure insensitivity, and high sensitivity. The study models the physical behavior of piezoelectric sensors as a single-degree-of-freedom system with mass, spring, and damping components. The relative motion of the sensor is derived from the absolute motion of the vibrating structure. The natural frequency of the sensor must be higher than the vibratory frequency to avoid resonance. The damping rate is defined as the ratio of damping coefficient to the product of the seismic mass and natural frequency. By optimizing the damping rate, the sensor's accuracy can be maximized. The study shows that a damping rate of 0.68 achieves the highest accuracy (P ≥ 99.7%). The research also validates the model through experimental tests using a measurement chain consisting of a piezoelectric sensor, amplifier, and FFT analyzer. The results show that the experimental data closely matches the simulation results, confirming the model's validity. The model enables the development of a new piezoelectric sensor design with improved parameters such as damping rate and accuracy. The study concludes that piezoelectric sensors are crucial for monitoring and fault diagnosis in electromechanical systems. The proposed model and optimization techniques enhance the accuracy and effectiveness of piezoelectric sensors in vibratory analysis applications. The findings contribute to better design and implementation of piezoelectric sensors, improving their ability to capture and analyze vibratory movements.