{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T11:57:48Z","timestamp":1773316668178,"version":"3.50.1"},"reference-count":56,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100005046","name":"Heilongjiang Province Natural Science Foundation","doi-asserted-by":"publisher","award":["YQ2023E035"],"award-info":[{"award-number":["YQ2023E035"]}],"id":[{"id":"10.13039\/501100005046","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["3072025ZX0102"],"award-info":[{"award-number":["3072025ZX0102"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52371314"],"award-info":[{"award-number":["52371314"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52471322"],"award-info":[{"award-number":["52471322"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computers &amp; Mathematics with Applications"],"published-print":{"date-parts":[[2026,4]]},"DOI":"10.1016\/j.camwa.2026.02.001","type":"journal-article","created":{"date-parts":[[2026,2,9]],"date-time":"2026-02-09T17:54:49Z","timestamp":1770659689000},"page":"204-221","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Free vibration analysis of laminated cylindrical shells based on the Walsh series method"],"prefix":"10.1016","volume":"207","author":[{"given":"Heyan","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Haichao","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Fuzhen","family":"Pang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Tianyi","family":"Hang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Chuanshuai","family":"Yi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]}],"member":"78","reference":[{"issue":"3-4","key":"10.1016\/j.camwa.2026.02.001_bib0001","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/s00707-009-0141-z","article-title":"Vibration characteristics of FGM circular cylindrical shells using wave propagation approach","volume":"208","author":"Iqbal","year":"2009","journal-title":"Acta Mech."},{"issue":"3-4","key":"10.1016\/j.camwa.2026.02.001_bib0002","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/s00707-009-0225-9","article-title":"Vibrations of functionally graded cylindrical shells based on elastic foundations","volume":"211","author":"Shah","year":"2009","journal-title":"Acta Mech."},{"issue":"4","key":"10.1016\/j.camwa.2026.02.001_bib0003","doi-asserted-by":"crossref","first-page":"749","DOI":"10.1006\/jsvi.1999.2347","article-title":"Ritz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions","volume":"227","author":"Messina A","year":"1999","journal-title":"J. sound vib."},{"key":"10.1016\/j.camwa.2026.02.001_bib0004","article-title":"An improved fisrt-approximation theory for thin shells","volume":"1","author":"S.J.J","year":"1959","journal-title":"NASA Tech. Rep"},{"issue":"8","key":"10.1016\/j.camwa.2026.02.001_bib0005","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1115\/1.4019867","article-title":"OHIO A new theory for the buckling of thin cylinders under axial compression and bending","volume":"56","author":"DONNELL","year":"1934","journal-title":"Trans. Am. Soc. Mech. Eng."},{"issue":"C1","key":"10.1016\/j.camwa.2026.02.001_bib0006","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1243\/09544062JMES1548","article-title":"The Ritz formulation applied to the study of the vibration frequency characteristics of functionally graded circular cylindrical shells","volume":"224","author":"Naeem","year":"2010","journal-title":"Proc. Inst. Mech. Eng. C-J. Mech. Eng. Sci."},{"issue":"5","key":"10.1016\/j.camwa.2026.02.001_bib0007","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1007\/s00707-011-0601-0","article-title":"Identification of the validity range of Donnell and Sanders shell theories using an exact vibration analysis of functionally graded thick cylindrical shell panel","volume":"223","author":"Hosseini-Hashemi","year":"2012","journal-title":"Acta Mech."},{"issue":"25","key":"10.1016\/j.camwa.2026.02.001_bib0008","doi-asserted-by":"crossref","first-page":"5488","DOI":"10.1016\/j.jsv.2012.07.024","article-title":"Nonlinear vibration of functionally graded circular cylindrical shells based on improved Donnell equations","volume":"331","author":"Bich","year":"2012","journal-title":"J. Sound Vib."},{"key":"10.1016\/j.camwa.2026.02.001_bib0009","doi-asserted-by":"crossref","first-page":"853","DOI":"10.1016\/j.compstruct.2018.08.089","article-title":"The Walsh series method for free vibration analysis of functionally graded cylindrical shells","volume":"206","author":"Fan","year":"2018","journal-title":"Compos. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0010","doi-asserted-by":"crossref","unstructured":"E. Reissner, Cambridge, Mass, The effect of transverse shear deformation on the bending of elastic plates, (1945).","DOI":"10.1115\/1.4009435"},{"key":"10.1016\/j.camwa.2026.02.001_bib0011","doi-asserted-by":"crossref","unstructured":"R.D. Mindlin, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates (1951).","DOI":"10.1115\/1.4010217"},{"issue":"37-40","key":"10.1016\/j.camwa.2026.02.001_bib0012","doi-asserted-by":"crossref","first-page":"2911","DOI":"10.1016\/j.cma.2009.04.011","article-title":"Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution","volume":"198","author":"Tornabene","year":"2009","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"10.1016\/j.camwa.2026.02.001_bib0013","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/j.compositesb.2013.02.028","article-title":"A unified formulation for vibration analysis of functionally graded shells of revolution with arbitrary boundary conditions","volume":"50","author":"Qu","year":"2013","journal-title":"Compos. B: Eng."},{"issue":"6","key":"10.1016\/j.camwa.2026.02.001_bib0014","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1177\/1099636215594560","article-title":"Influences of shear stresses and rotary inertia on the vibration of functionally graded coated sandwich cylindrical shells resting on the Pasternak elastic foundation","volume":"17","author":"Sofiyev","year":"2015","journal-title":"J. Sandw. Struct. Mater."},{"key":"10.1016\/j.camwa.2026.02.001_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruct.2022.115607","article-title":"Vibration analysis of laminated open cylindrical shell coupled with rectangular plates","volume":"292","author":"Chen","year":"2022","journal-title":"Compos. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0016","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruct.2021.114763","article-title":"A FSDT meshfree method for free vibration analysis of arbitrary laminated composite shells and spatial structures","volume":"279","author":"Chen","year":"2022","journal-title":"Compos. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0017","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1016\/j.apm.2021.02.029","article-title":"Buckling and free vibration of eccentric rotating CFRP cylindrical shell base on FSDT","volume":"95","author":"Yang","year":"2021","journal-title":"Appl. Math. Model."},{"issue":"3","key":"10.1016\/j.camwa.2026.02.001_bib0018","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1016\/j.jsv.2005.02.034","article-title":"Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition","volume":"289","author":"Kadoli","year":"2006","journal-title":"J. Sound Vib."},{"issue":"1","key":"10.1016\/j.camwa.2026.02.001_bib0019","doi-asserted-by":"crossref","first-page":"1001","DOI":"10.1016\/j.compositesb.2012.05.018","article-title":"Vibration analysis of laminated composite conical shells by the method of discrete singular convolution based on the shear deformation theory","volume":"45","author":"Civalek","year":"2013","journal-title":"Compos. B: Eng."},{"key":"10.1016\/j.camwa.2026.02.001_bib0020","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.compstruct.2012.11.001","article-title":"A unified formulation for vibration analysis of composite laminated shells of revolution including shear deformation and rotary inertia","volume":"98","author":"Qu","year":"2013","journal-title":"Compos. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0021","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.compstruct.2013.10.052","article-title":"A general fourier solution for the vibration analysis of composite laminated structure elements of revolution with general elastic restraints","volume":"109","author":"Jin","year":"2014","journal-title":"Compos. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0022","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1016\/j.tws.2018.12.009","article-title":"A semi analytical method for free vibration analysis of composite laminated cylindrical and spherical shells with complex boundary conditions","volume":"136","author":"Li","year":"2019","journal-title":"Thin-Walled Struct."},{"issue":"6","key":"10.1016\/j.camwa.2026.02.001_bib0023","doi-asserted-by":"crossref","DOI":"10.1007\/s42417-025-01936-0","article-title":"Sound radiation and phase velocity characteristics of FG bio-composite annular plates","volume":"13","author":"Safarpour","year":"2025","journal-title":"J. Vib. Eng. Technol."},{"key":"10.1016\/j.camwa.2026.02.001_bib0024","doi-asserted-by":"crossref","DOI":"10.1016\/j.euromechsol.2025.105688","article-title":"Wave propagation analysis of functionally graded bio-composite circular plates using an improved sinusoidal shear deformation theory resting on an advanced viscoelastic foundation","volume":"112","author":"Safarpour","year":"2025","journal-title":"Eur. J. Mech. a-Solids"},{"key":"10.1016\/j.camwa.2026.02.001_bib0025","doi-asserted-by":"crossref","DOI":"10.1142\/S0219455427500520","article-title":"Phase velocity and dynamic behavior of functionally graded graphene nanoplatelet-reinforced spherical shells: free and forced wave propagation solution","author":"Safarpour","year":"2025","journal-title":"Int. J. Struct. Stab. Dyn."},{"key":"10.1016\/j.camwa.2026.02.001_bib0026","series-title":"Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials","author":"Amabili","year":"2018"},{"issue":"4","key":"10.1016\/j.camwa.2026.02.001_bib0027","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1016\/j.compstruct.2008.05.019","article-title":"Free vibration and stability of functionally graded circular cylindrical shells according to a 2D higher-order deformation theory","volume":"88","author":"Matsunaga","year":"2009","journal-title":"Compos. Struct."},{"issue":"12","key":"10.1016\/j.camwa.2026.02.001_bib0028","doi-asserted-by":"crossref","first-page":"10957","DOI":"10.1007\/s11071-023-08460-4","article-title":"Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack","volume":"111","author":"Wang","year":"2023","journal-title":"Nonlinear Dyn."},{"key":"10.1016\/j.camwa.2026.02.001_bib0029","doi-asserted-by":"crossref","DOI":"10.1016\/j.tws.2024.112446","article-title":"Vibration analysis of rotating variable-angle-tow composite cylindrical structures via high-fidelity shell models","volume":"205","author":"Azzara","year":"2024","journal-title":"Thin-Walled Struct."},{"issue":"6","key":"10.1016\/j.camwa.2026.02.001_bib0030","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1016\/j.tws.2007.04.007","article-title":"Free vibration analysis of functionally graded cylindrical shells including thermal effects","volume":"45","author":"Haddadpour","year":"2007","journal-title":"Thin-Walled Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0031","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/j.compstruct.2016.12.018","article-title":"Non-linear vibration analysis of laminated composite circular cylindrical shells","volume":"163","author":"Dey","year":"2017","journal-title":"Compos. Struct."},{"issue":"3","key":"10.1016\/j.camwa.2026.02.001_bib0032","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/S1359-8368(96)00052-2","article-title":"Free vibration analysis of laminated composite cylindrical shells by DQM","volume":"28","author":"S","year":"1997","journal-title":"Compos. B: Eng."},{"key":"10.1016\/j.camwa.2026.02.001_bib0033","doi-asserted-by":"crossref","DOI":"10.1016\/j.tws.2023.110694","article-title":"Vibration analysis of the porous metal cylindrical curved panel by using the differential quadrature method","volume":"186","author":"Li","year":"2023","journal-title":"Thin-Walled Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0034","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruct.2023.117661","article-title":"Vibration characteristic analysis of three-dimensional sandwich cylindrical shell based on the spectro-geometric method","volume":"327","author":"Meng","year":"2024","journal-title":"Compos. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0035","doi-asserted-by":"crossref","DOI":"10.1016\/j.tws.2024.112674","article-title":"A comprehensive study of beam modal functions in the free vibration analysis of cylindrical shells: critical examination on the applicability to the clamped-free boundary condition","volume":"206","author":"Xu","year":"2025","journal-title":"Thin-Walled Struct."},{"issue":"2","key":"10.1016\/j.camwa.2026.02.001_bib0036","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.camwa.2018.09.046","article-title":"Jacobi-Ritz method for free vibration analysis of uniform and stepped circular cylindrical shells with arbitrary boundary conditions: a unified formulation","volume":"77","author":"Li","year":"2019","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.camwa.2026.02.001_bib0037","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruc.2024.107552","article-title":"Jacobi-Ritz method for dynamic analysis of functionally graded cylindrical shell with general boundary conditions based on FSDT","volume":"305","author":"Xu","year":"2024","journal-title":"Comput. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0038","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijsolstr.2024.113148","article-title":"Vibration characteristics of cylindrical shells with discontinuous connections based on the spectral element method","volume":"308","author":"Chai","year":"2025","journal-title":"Int. J. Solids Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0039","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.compstruct.2013.12.019","article-title":"A numerical solution for vibration analysis of composite laminated conical, cylindrical shell and annular plate structures","volume":"111","author":"Xiang","year":"2014","journal-title":"Compos. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0040","doi-asserted-by":"crossref","DOI":"10.1016\/j.csite.2022.102030","article-title":"Case studies on simulations of flow-induced vibrations of a cooled circular cylinder: incompressible flow solver for moving mesh problem","volume":"34","author":"Sonawane","year":"2022","journal-title":"Case Stud. Therm. Eng."},{"issue":"9","key":"10.1016\/j.camwa.2026.02.001_bib0041","doi-asserted-by":"crossref","first-page":"1435","DOI":"10.1016\/j.jsv.2009.10.038","article-title":"Polynomial versus trigonometric expansions for nonlinear vibrations of circular cylindrical shells with different boundary conditions","volume":"329","author":"Kurylov","year":"2010","journal-title":"J. Sound Vib."},{"key":"10.1016\/j.camwa.2026.02.001_bib0042","doi-asserted-by":"crossref","DOI":"10.1016\/j.tws.2020.107131","article-title":"Vibration of metallic and composite shells in geometrical nonlinear equilibrium states","volume":"157","author":"Carrera","year":"2020","journal-title":"Thin-Walled Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0043","article-title":"Static, stress and free vibration analysis of composite conoidal shell using Carrera Unified formulation","author":"Sahu","year":"2024","journal-title":"Mech. Adv. Mater. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0044","doi-asserted-by":"crossref","DOI":"10.1016\/j.jsv.2024.118479","article-title":"High-order accurate transient and free-vibration analysis of plates and shells","volume":"587","author":"Gulizzi","year":"2024","journal-title":"J. Sound Vib."},{"issue":"1","key":"10.1016\/j.camwa.2026.02.001_bib0045","first-page":"181","article-title":"A review on non-linear vibrations of thin shells","volume":"3","author":"Kumar","year":"2013","journal-title":"Int. J. Eng. Res. Appl."},{"key":"10.1016\/j.camwa.2026.02.001_bib0046","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.ijnonlinmec.2013.09.012","article-title":"Non-linear vibrations of shells: a literature review from 2003 to 2013","volume":"58","author":"Alijani","year":"2014","journal-title":"Int. J. Non-Linear Mech."},{"key":"10.1016\/j.camwa.2026.02.001_bib0047","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1016\/j.compstruct.2018.11.084","article-title":"A critical review of stress and vibration analyses of functionally graded shell structures","volume":"210","author":"Punera","year":"2019","journal-title":"Compos. Struct."},{"issue":"4","key":"10.1016\/j.camwa.2026.02.001_bib0048","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1115\/1.1565084","article-title":"Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction","volume":"56","author":"Amabili","year":"2003","journal-title":"Appl. Mech. Rev."},{"key":"10.1016\/j.camwa.2026.02.001_bib0049","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/j.compstruct.2015.04.007","article-title":"On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results","volume":"129","author":"Sayyad","year":"2015","journal-title":"Compos. Struct."},{"key":"10.1016\/j.camwa.2026.02.001_bib0050","article-title":"Nonlinear vibration analysis of composite and functionally graded material shell structures: A literature review from 2013 to 2023","volume":"168","author":"Palani","year":"2024","journal-title":"Int. J. Non-Linear Mech."},{"issue":"1","key":"10.1016\/j.camwa.2026.02.001_bib0051","doi-asserted-by":"crossref","first-page":"5","DOI":"10.2307\/2387224","article-title":"A closed set of normal orthogonal functions","volume":"45","author":"Walsh","year":"1923","journal-title":"Am. J. Math."},{"key":"10.1016\/j.camwa.2026.02.001_bib0052","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1016\/j.jcp.2013.10.054","article-title":"Global series solutions of nonlinear differential equations with shocks using Walsh functions","volume":"258","author":"Gnoffo","year":"2014","journal-title":"J. Comput. Phys."},{"issue":"7","key":"10.1016\/j.camwa.2026.02.001_bib0053","doi-asserted-by":"crossref","DOI":"10.1088\/2053-1591\/ac0eb7","article-title":"Free vibration analysis of composite conical shells using Walsh series method","volume":"8","author":"Guo","year":"2021","journal-title":"Mater. Res. Express"},{"issue":"6","key":"10.1016\/j.camwa.2026.02.001_bib0054","doi-asserted-by":"crossref","DOI":"10.1007\/s42417-025-01872-z","article-title":"Free vibration analysis of joined laminated composite conical-cylindrical-spherical shell structures by the Walsh Series method (WSM)","volume":"13","author":"Ri","year":"2025","journal-title":"J. Vib. Eng. Technol."},{"issue":"2","key":"10.1016\/j.camwa.2026.02.001_bib0055","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.camwa.2018.09.046","article-title":"Jacobi\u2013Ritz method for free vibration analysis of uniform and stepped circular cylindrical shells with arbitrary boundary conditions: a unified formulation","volume":"77","author":"Li","year":"2019","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.camwa.2026.02.001_bib0056","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruct.2020.112091","article-title":"A Jacobi-Ritz method for dynamic analysis of laminated composite shallow shells with general elastic restraints","volume":"242","author":"Li","year":"2020","journal-title":"Compos. Struct."}],"container-title":["Computers &amp; Mathematics with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122126000556?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122126000556?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T18:00:13Z","timestamp":1773252013000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0898122126000556"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4]]},"references-count":56,"alternative-id":["S0898122126000556"],"URL":"https:\/\/doi.org\/10.1016\/j.camwa.2026.02.001","relation":{},"ISSN":["0898-1221"],"issn-type":[{"value":"0898-1221","type":"print"}],"subject":[],"published":{"date-parts":[[2026,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Free vibration analysis of laminated cylindrical shells based on the Walsh series method","name":"articletitle","label":"Article Title"},{"value":"Computers & Mathematics with Applications","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.camwa.2026.02.001","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}]}}