{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T18:36:32Z","timestamp":1779906992741,"version":"3.53.1"},"reference-count":32,"publisher":"Wiley","license":[{"start":{"date-parts":[[2023,3,16]],"date-time":"2023-03-16T00:00:00Z","timestamp":1678924800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100013066","name":"Key Scientific Research Project of Colleges and Universities in Henan Province","doi-asserted-by":"publisher","award":["23B560001"],"award-info":[{"award-number":["23B560001"]}],"id":[{"id":"10.13039\/501100013066","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013066","name":"Key Scientific Research Project of Colleges and Universities in Henan Province","doi-asserted-by":"publisher","award":["U1504505"],"award-info":[{"award-number":["U1504505"]}],"id":[{"id":"10.13039\/501100013066","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["23B560001"],"award-info":[{"award-number":["23B560001"]}],"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":["U1504505"],"award-info":[{"award-number":["U1504505"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2023,3,16]]},"abstract":"In order to consider the effect of anisotropy of soil around the pile on the lateral vibration of pile groups, the soil around the pile is regarded as a transversely isotropic medium, and a lateral dynamic interaction model of pile-pile in transversely isotropic soil is established. According to Novak\u2019s plane assumption and wave propagation theory, the lateral vibration of transversely isotropic soil layer is solved by introducing potential function and using mathematical and physical means, and the attenuation function of lateral displacement of free field is given. The Dobry and Dazetas simplified solution of attenuation function is different from that of solution of plane model. The pile-pile horizontal dynamic interaction factor in transversely isotropic soil is obtained by using the initial parameter method and Krylov function. The horizontal dynamic impedance of pile groups is obtained by using the pile-pile superposition principle. The change rule of the lateral displacement attenuation function of transversely isotropic soil with frequency is related to the direction and frequency. The ratio \n \n \n \n G<\/a:mi>\n <\/a:mrow>\n \n h<\/a:mi>\n v<\/a:mi>\n <\/a:mrow>\n <\/a:msub>\n <\/a:math>\n <\/jats:inline-formula> of the shear modulus in the lateral plane to the shear modulus in the vertical plane and the pile spacing \n \n S<\/c:mi>\n \/<\/c:mo>\n d<\/c:mi>\n <\/c:math>\n <\/jats:inline-formula> have a great impact on the lateral vibration of pile groups, and when the pile spacing is large, the curves of attenuation function varying with frequency fluctuate greatly. The ratio of elastic modulus of pile to vertical plane shear modulus of soil \n \n \n \n E<\/e:mi>\n <\/e:mrow>\n \n p<\/e:mi>\n <\/e:mrow>\n <\/e:msub>\n \/<\/e:mo>\n \n \n G<\/e:mi>\n <\/e:mrow>\n \n v<\/e:mi>\n <\/e:mrow>\n <\/e:msub>\n <\/e:math>\n <\/jats:inline-formula> has an effect on the lateral stiffness of pile groups, which is related to frequency, while the effect on dynamic damping is not affected by frequency. The difference of mechanical properties on different surfaces of soil around the pile has a great influence on the lateral vibration of pile groups in transversely isotropic soil, and the influence of the anisotropy on the attenuation function of the lateral displacement and the dynamic impedance cannot be ignored.<\/jats:p>","DOI":"10.1155\/2023\/9132285","type":"journal-article","created":{"date-parts":[[2023,3,17]],"date-time":"2023-03-17T13:21:23Z","timestamp":1679059283000},"page":"1-13","source":"Crossref","is-referenced-by-count":2,"title":["Study on the Lateral Dynamic Impedance of Pile Groups in Transversely Isotropic Soil Using Novak\u2019s Plane Model"],"prefix":"10.1155","volume":"2023","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1492-2703","authenticated-orcid":true,"given":"Linchao","family":"Liu","sequence":"first","affiliation":[{"name":"College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, Henan 464000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5864-9297","authenticated-orcid":true,"given":"Qifang","family":"Yan","sequence":"additional","affiliation":[{"name":"College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, Henan 464000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1139\/t74-059"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.4290050305"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.4290040308"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/0267-7261(94)00028-F"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.compgeo.2016.06.013"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.soildyn.2020.106211"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.compgeo.2020.103942"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.compgeo.2022.104853"},{"key":"9","first-page":"53","article-title":"Dynamic analysis of structure embedded in an elastic stratum","author":"H. Tajimi"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.230"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.4290130107"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2004.10.015"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.compgeo.2008.08.013"},{"issue":"8","key":"14","first-page":"57","article-title":"Dynamic behavior of pile group model in two-layer sandy soil subjected to lateral earthquake excitation","volume":"3","author":"M. Y. Fattah","year":"2016","journal-title":"Global Journal of Engineering Science and Research Management"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)GM.1943-5622.0001881"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1002\/nag.3340"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1680\/geot.1968.18.4.449"},{"key":"18","unstructured":"KayniaA. M.Dynamic stiffness and seismic response of pile groups, [Ph.D thesis]1982Massachusetts Institute of Technology"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9410(1984)110:1(20)"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.4290200203"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.4290210204"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)GM.1943-5622.0000406"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.soildyn.2020.106559"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.compgeo.2007.05.009"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)EM.1943-7889.0000511"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.compgeo.2020.103772"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)GT.1943-5606.0002714"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2022.11.027"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1002\/nag.2997"},{"key":"30","volume-title":"Elasticity of Transversely Isotropic Materials","author":"H. J. Ding","year":"2006"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.4290020103"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1007\/s10706-020-01449-5"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2023\/9132285.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2023\/9132285.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2023\/9132285.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,17]],"date-time":"2023-03-17T13:21:30Z","timestamp":1679059290000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/jam\/2023\/9132285\/"}},"subtitle":[],"editor":[{"given":"Fernando","family":"Simoes","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2023,3,16]]},"references-count":32,"alternative-id":["9132285","9132285"],"URL":"https:\/\/doi.org\/10.1155\/2023\/9132285","relation":{},"ISSN":["1687-0042","1110-757X"],"issn-type":[{"value":"1687-0042","type":"electronic"},{"value":"1110-757X","type":"print"}],"subject":[],"published":{"date-parts":[[2023,3,16]]}}}