{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,20]],"date-time":"2025-12-20T22:19:37Z","timestamp":1766269177811,"version":"3.41.2"},"reference-count":34,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,10,9]],"date-time":"2019-10-09T00:00:00Z","timestamp":1570579200000},"content-version":"vor","delay-in-days":281,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11572006","11772010","11672008"],"award-info":[{"award-number":["11572006","11772010","11672008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>Based on the structures of unmanned aerial vehicle (UAV) wings, nonlinear dynamic analysis of macrofiber composite (MFC) laminated shells is presented in this paper. The effects of piezoelectric properties and aerodynamic forces on the dynamic stability of the MFC laminated shell are studied. Firstly, under the flow condition of ideal incompressible fluid, the thin airfoil theory is employed to calculate the effects of the mean camber line to obtain the circulation distribution of the wings in subsonic air flow. The steady aerodynamic lift on UAV wings is derived by using the Kutta\u2013Joukowski lift theory. Then, considering the geometric nonlinearity and piezoelectric properties of the MFC material, the nonlinear dynamic model of the MFC laminated shell is established with Hamilton\u2019s principles and the Galerkin method. Next, the effects of electric field, external excitation force, and nonlinear parameters on the stability of the system are studied under 1\u2009:\u20091 internal resonance and the effects of material parameters on the natural frequency of the structure are also analyzed. Furthermore, the influence of the aerodynamic forces and electric field on the nonlinear dynamic responses of MFC laminated shells is discussed by numerical simulation. The results indicate that the electric field and external excitation have great influence on the structural dynamic responses.<\/jats:p>","DOI":"10.1155\/2019\/1970248","type":"journal-article","created":{"date-parts":[[2019,10,9]],"date-time":"2019-10-09T23:31:32Z","timestamp":1570663892000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Influence of Piezoelectric Performance on Nonlinear Dynamic Characteristics of MFC Shells"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9887-2338","authenticated-orcid":false,"given":"Xiangying","family":"Guo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pan","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9310-2345","authenticated-orcid":false,"given":"Dongxing","family":"Cao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2019,10,9]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/s1359-8368(02)00029-x"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2006.07.051"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.4028\/www.scientific.net\/amr.79-82.1313"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1080\/15397734.2011.577691"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tws.2017.03.013"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/14\/4\/033"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.4001504"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2011.06.027"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.euromechsol.2012.12.011"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2003.10.001"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.finel.2008.01.001"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.finel.2009.05.004"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/23\/9\/095006"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1115\/IMECE2004-60569"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compositesb.2006.03.003"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2007.02.009"},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2012.12.050"},{"key":"e_1_2_10_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compositesb.2014.08.015"},{"key":"e_1_2_10_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compositesb.2013.11.017"},{"key":"e_1_2_10_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2014.02.033"},{"key":"e_1_2_10_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ast.2018.04.008"},{"key":"e_1_2_10_22_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10409-017-0705-4"},{"key":"e_1_2_10_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7683(94)00229-p"},{"key":"e_1_2_10_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0020-7683(01)00112-3"},{"key":"e_1_2_10_25_2","doi-asserted-by":"publisher","DOI":"10.2514\/3.15002"},{"key":"e_1_2_10_26_2","article-title":"Geometrically nonlinear finite element for transient analysis of piezolaminated shells","author":"Lentzen S.","year":"2005","journal-title":"Thin-Walled Structures"},{"key":"e_1_2_10_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compositesb.2015.02.006"},{"key":"e_1_2_10_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2014.11.046"},{"key":"e_1_2_10_29_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2015.02.051"},{"key":"e_1_2_10_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2010.05.001"},{"key":"e_1_2_10_31_2","doi-asserted-by":"publisher","DOI":"10.1177\/1045389x11403820"},{"key":"e_1_2_10_32_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2011.04.015"},{"key":"e_1_2_10_33_2","first-page":"173","article-title":"Thermal buckling, vibration and flutter of composite laminates containing two non-uniformly distributed","volume":"48","author":"Kuo S. 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