This paper presents an analytical approach for the development of a new wideband\npiezoelectric energy harvesting system. The proposed model is based on Adomian decomposition\nmethod to derive the dynamic response of the general non-uniform smart structures under external\nenvironmental excitations over a wide frequency domain efficiently harvesting the subsequent\nvibrational energy. The steady-state response of a nonlinearly tapered piezoelectric harvester\nsubjected to harmonic base motion is obtained, and the higher potential electromechanical outputs\ncompared with traditional uniform harvester are analytically derived. Afterward, a group of\nnonlinearly tapered cantilevers with the same volume and length but different taper ratios and\nsurface bonded piezoelectric layers are assembled together in order to build a broadband piezoelectric\nenergy harvester. Through numerical studies, it is proven that with the proposed non-uniform\nconfiguration, the new energy harvester design can function effectively and efficiently with high\nvoltage output over a wide frequency range. The designed wideband harvester can automatically\nactivate one of the non-uniform bimorphs to resonate at particular ambient vibration frequencies\nand eventually reach the maximum electromechanical output. Based on the proposed theoretical\nmodel, an optimum structural design for the wideband piezoelectric energy harvester in the required\noperational frequency range can be efficiently achieved
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