{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T16:47:26Z","timestamp":1777913246139,"version":"3.51.4"},"reference-count":37,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,7]]},"abstract":"<jats:p> Predicting the nonlinear vibration responses of a Z-shaped folding wing during the morphing process is a prerequisite for structural design analysis. Therefore, the present study focuses on the nonlinear dynamical characteristics of a Z-shaped folding wing. The folding wing is divided into three carbon fiber composite plates connected by rigid hinges. The nonlinear dynamic equations of the system are derived using Hamilton\u2019s principle based on the von K\u00e1rm\u00e1n equations and classical laminate plate theory. The mode shape functions of the system are then obtained using finite element analysis. Galerkin\u2019s approach is employed to discretize the partial differential governing equations into a two-degree-of-freedom nonlinear system. The case of 1:1 inner resonance is considered. The method of multiple scales is employed to obtain the averaged equations of the system. Finally, numerical simulation is performed to investigate the nonlinear dynamical characteristics of the system. Bifurcation diagrams and wave-form diagrams illustrate the different motions of the Z-shaped folding wing, including periodic and chaotic motions under given conditions. The influence of transverse excitations on the bifurcations and chaotic motion of the Z-shaped folding wing is investigated numerically. <\/jats:p>","DOI":"10.1142\/s0218127417501243","type":"journal-article","created":{"date-parts":[[2017,8,10]],"date-time":"2017-08-10T03:54:31Z","timestamp":1502337271000},"page":"1750124","source":"Crossref","is-referenced-by-count":18,"title":["Nonlinear Dynamics of Z-Shaped Folding Wings with 1:1 Inner Resonance"],"prefix":"10.1142","volume":"27","author":[{"given":"Xiangying","family":"Guo","sequence":"first","affiliation":[{"name":"College of Mechanical Engineering, Beijing University of Technology, Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Beijing 100124, P. R. 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