This work reports the energy harvesting performance of a piezoelectric curved energy generator (THUNDER) under harmonic vibration excitation. Most piezoelectric energy harvesting literatures study monolithic piezoceramic (PZT) thin beam sheet. Compared to the less flexible PZT, although THUNDER is more difficult to model, THUNDER has better vibration absorption capacity and higher energy recovery efficiency. The electromechanical model is developed based on linear constitutive law of the piezoelectric material and the substrate. The AC current and AC power generated by this model is obtained. This article also investigates the AC-DC power output with the THUNDER connected to a bridge rectifier and a capacitor. The analytical solution of the AC-DC power is derived in terms of the vibration amplitude and frequency, energy harvesting circuit, and the THUNDER'S geometric dimensions, which include the excitation frequency, the damping ratio, the natural frequency of the THUNDER, the electrical load, and the radius of curvature of the THUNDER. The effect of all above factors on the power output is investigated.