{"title":"水饱和层状基底上矩形地基的受迫谐振建模","authors":"О.Ф. Савицький, Oleh Savytskyi","doi":"10.31713/mcit.2023.042","DOIUrl":null,"url":null,"abstract":"A numerical study of the dynamic contact problem is carried out by the method of orthogonal polynomials. А symbolic solution was found for the double transformants of the vertical displacements of the layered two-phase poroelastic liquid saturated base under the action of arbitrary vertical contact pressures. Numerical analysis was performed for the Rayleigh function and the components of displacements in the kernels of integrable functions. An example of calculating double integrals necessary to determine the contact pressures of two-phase soil under the base of the foundation is given.","PeriodicalId":281857,"journal":{"name":"Modeling Control and Information Technologies","volume":"171 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Моделювання вимушених гармонічних коливань прямокутного фундамента на водонасиченій шаруватій основі\",\"authors\":\"О.Ф. Савицький, Oleh Savytskyi\",\"doi\":\"10.31713/mcit.2023.042\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A numerical study of the dynamic contact problem is carried out by the method of orthogonal polynomials. А symbolic solution was found for the double transformants of the vertical displacements of the layered two-phase poroelastic liquid saturated base under the action of arbitrary vertical contact pressures. Numerical analysis was performed for the Rayleigh function and the components of displacements in the kernels of integrable functions. An example of calculating double integrals necessary to determine the contact pressures of two-phase soil under the base of the foundation is given.\",\"PeriodicalId\":281857,\"journal\":{\"name\":\"Modeling Control and Information Technologies\",\"volume\":\"171 \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modeling Control and Information Technologies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31713/mcit.2023.042\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modeling Control and Information Technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31713/mcit.2023.042","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
采用正交多项式方法对动态接触问题进行了数值研究。在任意垂直接触压力的作用下，找到了分层两相孔弹性液体饱和基底垂直位移的双重变换的 А 符号解。对雷利函数和可积分函数核中的位移分量进行了数值分析。举例说明了计算确定地基基底下两相土壤接触压力所需的双积分。
Моделювання вимушених гармонічних коливань прямокутного фундамента на водонасиченій шаруватій основі
A numerical study of the dynamic contact problem is carried out by the method of orthogonal polynomials. А symbolic solution was found for the double transformants of the vertical displacements of the layered two-phase poroelastic liquid saturated base under the action of arbitrary vertical contact pressures. Numerical analysis was performed for the Rayleigh function and the components of displacements in the kernels of integrable functions. An example of calculating double integrals necessary to determine the contact pressures of two-phase soil under the base of the foundation is given.
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