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A general boundary integral approach to elliptical boundary value problems 椭圆边值问题的一般边界积分方法
Engineering Analysis Pub Date : 1987-09-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90007-4
H. Gründemann
{"title":"A general boundary integral approach to elliptical boundary value problems","authors":"H. Gründemann","doi":"10.1016/0264-682X(87)90007-4","DOIUrl":"10.1016/0264-682X(87)90007-4","url":null,"abstract":"<div><p>Based upon basic principles of continuum theory a unified direct boundary integral representation of three-dimensional elliptical boundary value problems is presented. Within this framework many interesting engineering problems, e.g. elastostatics, manetostatic and heat conduction may be considered. The special analysis of the problem under consideration appears in the fundamental solutions. A general procedure for derivation of fundamental solutions with regard to an effecient numerical realisation of the boundary element method is discussed. In the appendix a FORTRAN IV code concerning the calculation of fundamental solutions in anisotropic elastostatics is presented.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 3","pages":"Pages 165-173"},"PeriodicalIF":0.0,"publicationDate":"1987-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90007-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88050144","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}
引用次数: 2
Lecture notes in Engineering 工程学课堂讲稿
Engineering Analysis Pub Date : 1987-09-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90009-8
{"title":"Lecture notes in Engineering","authors":"","doi":"10.1016/0264-682X(87)90009-8","DOIUrl":"https://doi.org/10.1016/0264-682X(87)90009-8","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 3","pages":"Page 175"},"PeriodicalIF":0.0,"publicationDate":"1987-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90009-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136412898","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}
引用次数: 0
Elastic stability analysis of thin plate by the boundary element method—a new formulation 边界元法分析薄板弹性稳定性的新公式
Engineering Analysis Pub Date : 1987-09-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90006-2
Yijun Liu
{"title":"Elastic stability analysis of thin plate by the boundary element method—a new formulation","authors":"Yijun Liu","doi":"10.1016/0264-682X(87)90006-2","DOIUrl":"10.1016/0264-682X(87)90006-2","url":null,"abstract":"<div><p>A new boundary integral equation formulation for the elastic stability analysis of thin plate is presented in this paper. This formulation involves only two kinds of integral equations which are similar to those employed in the linear analysis of plate bending problems by the boundary element method and are suitable to plates with arbitrary plan forms and under general boundary conditions or in-plane load conditions. A new simple boundary element discretisation scheme is established based on these integral equations. Satisfactory numerical results obtained on a microcomputer with constant elements clearly show the applicability and efficiency of the approach developed in this paper.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 3","pages":"Pages 160-164"},"PeriodicalIF":0.0,"publicationDate":"1987-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90006-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91534054","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}
引用次数: 16
On the stability of some time-integration schemes in quasi-static hardening elasto-viscoplasticity 准静态硬化弹粘塑性中若干时间积分方案的稳定性研究
Engineering Analysis Pub Date : 1987-06-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90019-0
A. Benallal
{"title":"On the stability of some time-integration schemes in quasi-static hardening elasto-viscoplasticity","authors":"A. Benallal","doi":"10.1016/0264-682X(87)90019-0","DOIUrl":"10.1016/0264-682X(87)90019-0","url":null,"abstract":"<div><p>The stability of some numerical time integration schemes used in the quasistatic finite element analysis of hardening elasto-viscoplastic structures is investigated. The discrete problem is reduced to a set of ordinary differential equations to which the general theory is applied. Unconditional stability is proved for an implicit algorithm and explicit stability criteria which can be very easily introduced in a finite element code, are derived for the gradient and Euler's procedures.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 2","pages":"Pages 95-99"},"PeriodicalIF":0.0,"publicationDate":"1987-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90019-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90103985","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}
引用次数: 5
A boundary element solution of the plate buckling problem 板屈曲问题的边界元解
Engineering Analysis Pub Date : 1987-06-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90016-5
Stavros Syngellakis, Man Kang
{"title":"A boundary element solution of the plate buckling problem","authors":"Stavros Syngellakis,&nbsp;Man Kang","doi":"10.1016/0264-682X(87)90016-5","DOIUrl":"10.1016/0264-682X(87)90016-5","url":null,"abstract":"<div><p>Boundary integral equations are obtained from the variational equation governing the buckling mode of a thin elastic plate through the well established procedure of introducing the two fundamental solutions of the classical plate bending problem to the variational functionals. The existence in these equations of domain integrals containing the unknown lateral post-buckling deflection of the plate requires the introduction of domain in addition to boundary unknowns in the formulation. Through the boundary and domain discretisation, two linear algebraic systems of equations are obtained from which the boundary unknowns are eliminated and the eigenvalue problem for the buckling load and the buckling mode is thus formulated. Two alternative approximations of the post-buckling deflection have been tried for the evaluation of the domain integrals. The first involves finite element type triangular cells, the second trigonometric series.</p><p>The various examples solved include simply supported or clamped square plates under a variety of edge loadings as well as an equilateral triangular plate under uniform edge compression. The numerical results obtained demonstrate the validity of the formulation through the convergence of the approximate model indicating at the same time the degree of accuracy which can be achieved.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 2","pages":"Pages 75-81"},"PeriodicalIF":0.0,"publicationDate":"1987-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90016-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72792065","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}
引用次数: 12
Calculation of the magnetic field and parameters of synchronous motors with ceramic permanent magnets using the boundary element method 用边界元法计算陶瓷永磁体同步电机的磁场和参数
Engineering Analysis Pub Date : 1987-06-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90013-X
Razvan Magureanu, Nicolae Vasile, Marinela Tiba
{"title":"Calculation of the magnetic field and parameters of synchronous motors with ceramic permanent magnets using the boundary element method","authors":"Razvan Magureanu,&nbsp;Nicolae Vasile,&nbsp;Marinela Tiba","doi":"10.1016/0264-682X(87)90013-X","DOIUrl":"10.1016/0264-682X(87)90013-X","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 2","pages":"Pages 58-65"},"PeriodicalIF":0.0,"publicationDate":"1987-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90013-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91426786","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}
引用次数: 5
Boundary element technique for flow visualization studies of nonlinear water waves 非线性水波流动可视化研究的边界元技术
Engineering Analysis Pub Date : 1987-06-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90021-9
W.K. Soh
{"title":"Boundary element technique for flow visualization studies of nonlinear water waves","authors":"W.K. Soh","doi":"10.1016/0264-682X(87)90021-9","DOIUrl":"10.1016/0264-682X(87)90021-9","url":null,"abstract":"<div><p>A numerical technique is presented here for flow visualisation studies of nonlinear gravity waves. It is applied to the computation of a solitary wave over a submerged obstacle of arbitrary geometry. Some features relating to the nonlinearity of the transmission and reflection of waves are illustrated.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 2","pages":"Pages 106-112"},"PeriodicalIF":0.0,"publicationDate":"1987-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90021-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81944961","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}
引用次数: 2
Approximating a linear operator equation using a generalized Fourier series: development 用广义傅立叶级数逼近线性算子方程:发展
Engineering Analysis Pub Date : 1987-06-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90017-7
T.V. Hromadka II, G.F. Pinder, B. Joos
{"title":"Approximating a linear operator equation using a generalized Fourier series: development","authors":"T.V. Hromadka II,&nbsp;G.F. Pinder,&nbsp;B. Joos","doi":"10.1016/0264-682X(87)90017-7","DOIUrl":"10.1016/0264-682X(87)90017-7","url":null,"abstract":"<div><p>Many important engineering problems fall into the category of being linear operators, with supporting conditions. In thispaper, a new inner-product and norm is developed which enables the numerical modeler to approximate such engineering problems by developing a generalized Fourier series. The resulting approximation is the ‘best’ approximation in that a least-squares (<em>L</em><sup>2</sup>) error is minimized simultaneously for fitting both the problem's boundary conditions and satisfying the linear operator relationship (the governing equations) over the problem's domain (both space and time). Because the numerical technique involves a well-defined inner-product, error evaluation is readily available using Bessel's inequality. Minimization of the approximation error is subsequently achieved with respect to a weighting of the inner product components, and the addition of basis functions used in the approximation.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 2","pages":"Pages 82-88"},"PeriodicalIF":0.0,"publicationDate":"1987-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90017-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90237987","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}
引用次数: 7
Bulletin no. 32 公告没有。32
Engineering Analysis Pub Date : 1987-06-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90022-0
{"title":"Bulletin no. 32","authors":"","doi":"10.1016/0264-682X(87)90022-0","DOIUrl":"https://doi.org/10.1016/0264-682X(87)90022-0","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 2","pages":"Page 113"},"PeriodicalIF":0.0,"publicationDate":"1987-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90022-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134684078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the use of coupled fundamental solutions in B.E.M. for thermoelastic problems 热弹性问题在B.E.M.中耦合基本解的应用
Engineering Analysis Pub Date : 1987-06-01 Epub Date: 2003-04-03 DOI: 10.1016/0264-682X(87)90015-3
J. Fleurier, M. Predeleanu
{"title":"On the use of coupled fundamental solutions in B.E.M. for thermoelastic problems","authors":"J. Fleurier,&nbsp;M. Predeleanu","doi":"10.1016/0264-682X(87)90015-3","DOIUrl":"10.1016/0264-682X(87)90015-3","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"4 2","pages":"Pages 70-74"},"PeriodicalIF":0.0,"publicationDate":"1987-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(87)90015-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"118787593","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}
引用次数: 9
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