{"title":"On the action of mobile loads on an uninterrupted cylindrical tunnel","authors":"I. S. Ismail, N. Kuldashov, Nuriddinov","doi":"10.5897/AJMCSR2018.0747","DOIUrl":"https://doi.org/10.5897/AJMCSR2018.0747","url":null,"abstract":"He article gives the basics of the calculation technique for the action of mobile loads of long underground transport structures such as tunnels and pipelines taking into account the influence of the earth's surface. On elastic models, the dynamic behavior of unreinforced and reinforced structures at different depths of bedding is considered, as well as the effect of the type and parameters of the running load on the stress-strain state of the rock massif. The speed of the movement of the cargo is considered subsonic, which corresponds to the modern speeds of transport in the investigated underground objects. To describe the motion of a half-space and thick-walled shells, dynamic equations of the theory of elasticity in displacement potentials are used, and for thin-walled shells the classical equations of the theory of thin shells are used. Equations are written in a moving coordinate system associated with the load. A closed system of differential equations is constructed. The system of differential equations is solved by the method of separated variables, integral Fourier transforms, the Romberg, Muller and Gauss method. From the analysis of the obtained numerical results it follows that in these cases the reinforcement of the tunnel leads to a decrease in the dynamic effect of the moving loads on the earth's surface. The Earth's surface has an uneven effect on the stress-strain state of the rock massif under the action of moving loads. For a load with a shorter period, this effect is almost not noticeable, and becomes noticeable for very small periods.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125303617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The half way series expansion","authors":"Ibrahim Turay Alpha","doi":"10.5897/ajmcsr2018.0731","DOIUrl":"https://doi.org/10.5897/ajmcsr2018.0731","url":null,"abstract":"","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113942591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multi parameter fuzzy soft set approach to decision making problem","authors":"P. Anil, P. G. Patil","doi":"10.5897/AJMCSR2018.0745","DOIUrl":"https://doi.org/10.5897/AJMCSR2018.0745","url":null,"abstract":"In this paper, a new approach for decision making problem is introduced by extending the definition of fuzzy soft set for multiple parameter sets and is called extended fuzzy soft set. Also, few operations such as “AND” and “ ” are defined on extended fuzzy soft sets and illustrated with examples. Further an algorithm for decision making using the concept of extended fuzzy soft set is presented. The decision making process includes construction of comparison matrix and ranking strategy is based on the row sum of comparison matrix. Finally an application of proposed algorithm for decision making is presented. \u0000 \u0000 Key words: Fuzzy soft set, decision making, comparison matrix, ranking.","PeriodicalId":145313,"journal":{"name":"African Journal of Mathematics and Computer Science Research","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127584774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}