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A multiobjective framework integrating Root Mean Square (RMS) voltage, effective bandwidth, and Basin of Attraction (BA) area is established to quantify the performance of the bistable and quad-stable energy harvesting systems. Numerical simulations using the cell-mapping approach with fourth-order Runge\u2013Kutta integration demonstrate the superior practical performance of the bistable configuration under low-to-moderate base vibration amplitudes, resulting from its significantly larger BAs that ensure reliable high-energy responses. Conversely, a reversal in performance dominance occurs at higher amplitudes, where the quad-stable system prevails due to its broader BAs that enable robust inter-well oscillations. The core innovation of this work lies in establishing a direct link between the geometrically parameterized potential wells of the system and the resulting amplitude-dependent basin stability, offering a deterministic design principle for selecting and optimizing nonlinear energy harvesters according to anticipated environmental vibrations.<\/jats:p>","DOI":"10.1142\/s0218127426500732","type":"journal-article","created":{"date-parts":[[2026,1,14]],"date-time":"2026-01-14T12:13:54Z","timestamp":1768392834000},"source":"Crossref","is-referenced-by-count":0,"title":["Dynamic Analysis and Performance Comparison of a Geometrically Nonlinear Piezoelectric Energy Harvester in Bistable Versus Quad-Stable Configurations"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5267-183X","authenticated-orcid":false,"given":"Huilin","family":"Shang","sequence":"first","affiliation":[{"name":"Faculty of Intelligence Technology, Shanghai Institute of Technology, Shanghai 201418, P. 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