{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T15:41:08Z","timestamp":1760888468239},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2010,8,5]],"date-time":"2010-08-05T00:00:00Z","timestamp":1280966400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Meccanica"],"published-print":{"date-parts":[[2011,8]]},"DOI":"10.1007\/s11012-010-9341-9","type":"journal-article","created":{"date-parts":[[2010,8,4]],"date-time":"2010-08-04T08:27:06Z","timestamp":1280910426000},"page":"865-873","source":"Crossref","is-referenced-by-count":21,"title":["Analysis of plates on Winkler foundation by wavelet collocation"],"prefix":"10.1007","volume":"46","author":[{"given":"A. J. M.","family":"Ferreira","sequence":"first","affiliation":[]},{"given":"Lu\u00eds M. S.","family":"Castro","sequence":"additional","affiliation":[]},{"given":"Silvia","family":"Bertoluzza","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,8,5]]},"reference":[{"key":"9341_CR1","volume-title":"Die Lehre von der Elasticitaet und Festigkeit","author":"E Winkler","year":"1867","unstructured":"Winkler E (1867) Die Lehre von der Elasticitaet und Festigkeit. Dominicus, Prag"},{"key":"9341_CR2","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/S0022-460X(73)80371-2","volume":"31","author":"AW Leissa","year":"1973","unstructured":"Leissa AW (1973) The free vibration of plates. J\u00a0Sound Vibr 31:257\u2013293","journal-title":"J\u00a0Sound Vibr"},{"key":"9341_CR3","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1016\/S0141-0296(98)00116-3","volume":"22","author":"KY Lam","year":"2000","unstructured":"Lam KY, Wang CM, He XQ (2000) Canonical exact solutions for levy-plates on two-parameter foundation using green\u2019s functions. Eng Struct 22:364\u2013378","journal-title":"Eng Struct"},{"key":"9341_CR4","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/0020-7403(94)90037-X","volume":"36","author":"Y Xiang","year":"1994","unstructured":"Xiang Y, Wang CM, Kitipornchai S (1994) Exact vibration solution for initially stressed Mindlin plates on Pasternak foundation. Int J Mech Sci 36:311\u2013316","journal-title":"Int J Mech Sci"},{"key":"9341_CR5","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1002\/(SICI)1097-0207(19970130)40:2<295::AID-NME66>3.0.CO;2-2","volume":"40","author":"MH Omurtag","year":"1997","unstructured":"Omurtag MH, Ozutok A, Akoz AY (1997) Free vibration analysis of Kirchhoff plates resting on elastic foundation by mixed finite element formulation based on gateaux differential. Int J Numer Methods Eng 40:295\u2013317","journal-title":"Int J Numer Methods Eng"},{"key":"9341_CR6","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1061\/(ASCE)0733-9399(2000)126:1(27)","volume":"126","author":"H Matsunaga","year":"2000","unstructured":"Matsunaga H (2000) Vibration and stability of thick plates on elastic foundations. J\u00a0Eng Mech (ASCE) 126:27\u201334","journal-title":"J\u00a0Eng Mech (ASCE)"},{"key":"9341_CR7","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1006\/jsvi.2000.3501","volume":"244","author":"HS Shen","year":"2001","unstructured":"Shen HS, Yang J, Zhang L (2001) Free and forced vibration of Reissner-Mindlin plates with free edges resting on elastic foundations. J\u00a0Sound Vibr 244:299\u2013320","journal-title":"J\u00a0Sound Vibr"},{"key":"9341_CR8","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1006\/jsvi.1997.1394","volume":"212","author":"Y Ayvaz","year":"1998","unstructured":"Ayvaz Y, Daloglu A, Dogangun A (1998) Application of a modified Vlasov model to earthquake analysis of plates resting on elastic foundations. J\u00a0Sound Vibr 212:499\u2013509","journal-title":"J\u00a0Sound Vibr"},{"key":"9341_CR9","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1016\/S0020-7403(02)00034-6","volume":"44","author":"KM Liew","year":"2002","unstructured":"Liew KM, Teo TM (2002) Differential cubature method for analysis of shear deformable rectangular plates on Pasternak foundations. Int J Mech Sci 44:1179\u20131194","journal-title":"Int J Mech Sci"},{"key":"9341_CR10","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/0020-7403(95)00062-3","volume":"38","author":"KM Liew","year":"1996","unstructured":"Liew KM, Han JB, Xiao ZM, Du H (1996) Differential quadrature method for Mindlin plates on Winkler foundations. Int J Mech Sci 38:405\u2013421","journal-title":"Int J Mech Sci"},{"key":"9341_CR11","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1016\/S0020-7403(97)00001-5","volume":"39","author":"JB Han","year":"1997","unstructured":"Han JB, Liew KM (1997) Numerical differential quadrature method for Reissner-Mindlin plates on two-parameter foundations. Int J Mech Sci 39:977\u2013989","journal-title":"Int J Mech Sci"},{"key":"9341_CR12","doi-asserted-by":"crossref","first-page":"1313","DOI":"10.1002\/nme.915","volume":"59","author":"D Zhou","year":"2004","unstructured":"Zhou D, Cheung YK, Lo SH, Au FTK (2004) Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation. Int J Numer Meth Eng 59:1313\u20131334","journal-title":"Int J Numer Meth Eng"},{"key":"9341_CR13","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1016\/j.ijpvp.2007.07.001","volume":"84","author":"O Civalek","year":"2007","unstructured":"Civalek O, Acar MH (2007) Discrete singular convolution method for the analysis of Mindlin plates on elastic foundations. Int J Press Vessels Piping 84:527\u2013535","journal-title":"Int J Press Vessels Piping"},{"key":"9341_CR14","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/S0955-7997(02)00007-3","volume":"26","author":"S Chucheepsakul","year":"2002","unstructured":"Chucheepsakul S, Chinnaboom B (2002) An alternative domain boundary element technique for analyzing plates on two-parameter elastic foundations. Eng Anal Bound Elem 26:547\u2013555","journal-title":"Eng Anal Bound Elem"},{"key":"9341_CR15","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1016\/S0168-874X(03)00077-5","volume":"40","author":"J Ma","year":"2004","unstructured":"Ma J, Chen JX, Yang S, He Z (2004) The construction of wavelet-finite element and its application. Finite Elem Anal Des 40:541\u2013554","journal-title":"Finite Elem Anal Des"},{"key":"9341_CR16","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1016\/j.apm.2005.11.023","volume":"31","author":"O Civalek","year":"2007","unstructured":"Civalek O (2007) Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by dsc-hdq methods. Appl Math Mod 31:606\u2013624","journal-title":"Appl Math Mod"},{"issue":"12","key":"9341_CR17","doi-asserted-by":"crossref","first-page":"1743","DOI":"10.1016\/S0020-7683(98)00306-0","volume":"37","author":"FL Liu","year":"2000","unstructured":"Liu FL (2000) Rectangular thick plates on Winkler foundation: differential quadrature element solution. Int J Solids Struct 37(12):1743\u20131763","journal-title":"Int J Solids Struct"},{"issue":"4","key":"9341_CR18","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1007\/BF01556330","volume":"19","author":"DC Gupta","year":"1984","unstructured":"Gupta DC, Tomar JS, Kumar V (1984) Natural frequencies of a non homogeneous isotropic elastic infinite plate of variable thickness resting on elastic foundation. Meccanica 19(4):320\u2013324","journal-title":"Meccanica"},{"key":"9341_CR19","unstructured":"Bertoluzza S, Castro LM Adaptive wavelet collocation for elasticity: first results. Preprint, IAN-CNR, IAN-CNR (Pavia, Italy) (2001)"},{"key":"9341_CR20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1006\/acha.1996.0001","volume":"3","author":"S Bertoluzza","year":"1996","unstructured":"Bertoluzza S, Naldi G (1996) A\u00a0wavelet collocation method for the numerical solution of partial differential equations. Appl Comput Harm Anal 3:1\u20139","journal-title":"Appl Comput Harm Anal"},{"key":"9341_CR21","doi-asserted-by":"crossref","first-page":"424","DOI":"10.1016\/j.compstruct.2008.09.006","volume":"89","author":"LMS Castro","year":"2009","unstructured":"Castro LMS, Bertoluzza S, Ferreira AJM (2009) A\u00a0high order collocation method for the static and vibration analysis of composite plates using a first-order theory. Compos Struct 89:424\u2013432","journal-title":"Compos Struct"},{"key":"9341_CR22","volume-title":"Multiscale wavelet methods for partial differential equations","author":"S Bertoluzza","year":"1997","unstructured":"Bertoluzza S (1997) An adaptive collocation method based on interpolating wavelets. In: Kurdila A, Dahmen W, Oswald P (eds) Multiscale wavelet methods for partial differential equations. Academic Press, San Diego"},{"key":"9341_CR23","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1137\/0730024","volume":"30","author":"W Dahmen","year":"1993","unstructured":"Dahmen W, Michelli C (1993) Using the refinement equation for evaluating integrals of wavelets. SIAM J Numer Anal 30:507\u2013533","journal-title":"SIAM J Numer Anal"},{"issue":"9","key":"9341_CR24","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1016\/S0020-7403(89)80003-7","volume":"31","author":"H Kobayashi","year":"1989","unstructured":"Kobayashi H, Sonoda K (1989) Rectangular Mindlin plates on elastic foundation. Int J Mech Sci 31(9):679\u2013692","journal-title":"Int J Mech Sci"}],"container-title":["Meccanica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11012-010-9341-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11012-010-9341-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11012-010-9341-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T02:19:05Z","timestamp":1559355545000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11012-010-9341-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,8,5]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2011,8]]}},"alternative-id":["9341"],"URL":"https:\/\/doi.org\/10.1007\/s11012-010-9341-9","relation":{},"ISSN":["0025-6455","1572-9648"],"issn-type":[{"value":"0025-6455","type":"print"},{"value":"1572-9648","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,8,5]]}}}