{"title":"Modeling","authors":"D. Adamski","doi":"10.32388/1h1usq","DOIUrl":"https://doi.org/10.32388/1h1usq","url":null,"abstract":"SURFACE In road design, it is most important to obtain an optimum road surface (left and right traffic ways, left and right road sides, left and right slopes, etc.) using a number of criteria (sometimes hundreds of criteria), which include a slope, absolute elevation, elevation relative to the groundwater level, distance from the top of pipe-culvert, and others. In most computer-aided design systems, a digital model of the project is built by using a Delone triangulation. This paper deals with a new mathematical apparatus for spatial setting out of box-section roads in the form of a nonclosed polyhedron. The proposed approach to optimizing the road design utilizes the building information modeling for box-section roads in the form of a mov-ing unclosed smooth curvilinear","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129539807","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":"Constrained Optimization","authors":"Dudley Cooke","doi":"10.4324/9780203422632.ch11","DOIUrl":"https://doi.org/10.4324/9780203422632.ch11","url":null,"abstract":"minimize f(x) subject to: hi(x) = 0 i = 1, . . . , m ≤ n (1) gj(x) ≤ 0 j = 1, . . . , p. hi’s are equality constraints and gj ’s are inequality constraints and usually they are assumed to be within the class C. A point that satisfies all constraints is said to be a feasible point. An inequality constraint is said to be active at a feasible point x if gi(x) = 0 and inactive if gi(x) < 0. Equality constraints are always active at any feasible point. To simplify notation we write h = [h1, . . . , hm] and g = [g1, . . . , gp], and the constraints now become h(x) = 0 and g(x) ≤ 0.","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128925670","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":"Unconstrained Optimization: Theory","authors":"","doi":"10.1017/9781108869027.005","DOIUrl":"https://doi.org/10.1017/9781108869027.005","url":null,"abstract":"","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126510161","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":"Special Classes of Problems","authors":"","doi":"10.1017/9781108869027.009","DOIUrl":"https://doi.org/10.1017/9781108869027.009","url":null,"abstract":"","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"154 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128169699","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":"MATLAB Optimization Toolbox","authors":"","doi":"10.1017/9781108869027.007","DOIUrl":"https://doi.org/10.1017/9781108869027.007","url":null,"abstract":"","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125237813","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":"Finite Element Analysis in 3D","authors":"","doi":"10.1017/9781108869027.015","DOIUrl":"https://doi.org/10.1017/9781108869027.015","url":null,"abstract":"","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132988974","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":"Shape Optimization Using SOLIDLAB","authors":"","doi":"10.1017/9781108869027.017","DOIUrl":"https://doi.org/10.1017/9781108869027.017","url":null,"abstract":"","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130873922","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":"hape Optimization in 2D","authors":"","doi":"10.1017/9781108869027.014","DOIUrl":"https://doi.org/10.1017/9781108869027.014","url":null,"abstract":"","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128336552","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":"Truss Analysis","authors":"","doi":"10.1017/9781108869027.010","DOIUrl":"https://doi.org/10.1017/9781108869027.010","url":null,"abstract":"A B C D E L S1y S1x S2 θ θ θ θ θ θ Assume forces in truss are as indicated. Then the forces at each node are as follows: At A: S1x – FAE FAB cosθ = 0 S1y FAB sinθ = 0 At B: FAB cosθ FBE cosθ FBC = 0 FAB sinθ + FBE sinθ = 0 At C: FBC + FCE cosθ FCD cosθ = 0 FCE sinθ + FCD sinθ = 0 At D: FDE + FCD cosθ = 0 S2 – FCD sinθ = 0 At E: FAE – FDE + FBE cosθ FCE cosθ = 0 -FBE sinθ FCE sinθ L = 0 Then these equations can be put into matrix form as:","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129963101","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":"Finite Element Analysis in 2D","authors":"","doi":"10.1017/9781108869027.013","DOIUrl":"https://doi.org/10.1017/9781108869027.013","url":null,"abstract":"","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122723402","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}