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2D finite element mesh generation by medial axis subdivision 利用内轴线细分生成二维有限元网格
Advances in Engineering Software and Workstations Pub Date : 1991-09-01 DOI: 10.1016/0961-3552(91)90035-3
T.K.H. Tam , C.G. Armstrong
{"title":"2D finite element mesh generation by medial axis subdivision","authors":"T.K.H. Tam ,&nbsp;C.G. Armstrong","doi":"10.1016/0961-3552(91)90035-3","DOIUrl":"10.1016/0961-3552(91)90035-3","url":null,"abstract":"<div><p>An algorithm for the automatic generation of two-dimensional finite element meshes using quadrilateral elements has been demonstrated. The technique uses information derived from the medial axis of a 2D region, the locus of the centre of an inscribed disc of maximal diameter as it rolls around the region interior. Using this information, an arbitrarily complex object can be subdivided into a series of meshable subregions. Within these subregions relatively conventional meshing patterns are then generated. The resulting meshes are well structured and flow smoothly round the object boundary with minimum mesh irregularity.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 5","pages":"Pages 313-324"},"PeriodicalIF":0.0,"publicationDate":"1991-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90035-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86471396","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: 151
Automatic mesh generation — benchmarkers needed? 自动网格生成-需要基准吗?
Advances in Engineering Software and Workstations Pub Date : 1991-09-01 DOI: 10.1016/0961-3552(91)90027-2
Dr. C.G. Armstrong
{"title":"Automatic mesh generation — benchmarkers needed?","authors":"Dr. C.G. Armstrong","doi":"10.1016/0961-3552(91)90027-2","DOIUrl":"10.1016/0961-3552(91)90027-2","url":null,"abstract":"","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 5","pages":"Pages 218-219"},"PeriodicalIF":0.0,"publicationDate":"1991-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90027-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76716035","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: 1
Boundary element formulation for plate analysis with special distribution of reactions along the boundary 反应沿边界有特殊分布的平板分析的边界元公式
Advances in Engineering Software and Workstations Pub Date : 1991-07-01 DOI: 10.1016/0961-3552(91)90012-S
Jaão Batista De Paiva
{"title":"Boundary element formulation for plate analysis with special distribution of reactions along the boundary","authors":"Jaão Batista De Paiva","doi":"10.1016/0961-3552(91)90012-S","DOIUrl":"10.1016/0961-3552(91)90012-S","url":null,"abstract":"","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 4","pages":"Pages 162-168"},"PeriodicalIF":0.0,"publicationDate":"1991-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90012-S","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81130199","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: 13
Procedure FAILURE — The computation of probability of failure 程序失败-计算失败的概率
Advances in Engineering Software and Workstations Pub Date : 1991-07-01 DOI: 10.1016/0961-3552(91)90019-Z
D. Novak
{"title":"Procedure FAILURE — The computation of probability of failure","authors":"D. Novak","doi":"10.1016/0961-3552(91)90019-Z","DOIUrl":"10.1016/0961-3552(91)90019-Z","url":null,"abstract":"<div><p>This article presents the description of the procedure FAILURE which may be used for the probability analysis of practically any reliability condition. The estimation of the probability of failure is based on the simulation method Monte Carlo. The demonstration example and the example of practical application for a reinforced concrete cross-section stressed by simple bending are presented.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 4","pages":"Pages 211-216"},"PeriodicalIF":0.0,"publicationDate":"1991-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90019-Z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82175091","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
A computer program for approximating a linear operator equation using a generalized Fourier series 一个用广义傅立叶级数逼近线性算子方程的计算机程序
Advances in Engineering Software and Workstations Pub Date : 1991-07-01 DOI: 10.1016/0961-3552(91)90013-T
M.G. Seibel, A.F. Leal, M.R. Barton, Theodore V. Hromadka II
{"title":"A computer program for approximating a linear operator equation using a generalized Fourier series","authors":"M.G. Seibel,&nbsp;A.F. Leal,&nbsp;M.R. Barton,&nbsp;Theodore V. Hromadka II","doi":"10.1016/0961-3552(91)90013-T","DOIUrl":"https://doi.org/10.1016/0961-3552(91)90013-T","url":null,"abstract":"<div><p>Many important engineering problems fall into the category of being linear operators, with supporting conditions. In this paper, an inner-product and norm is used which enables the numerical modeler to approximate such by developing a generalized Fourier series. The resulting approximation is the “best” approximation in that a least-squares (L<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 components, and the addition of basis functions used in the approximation. A computer program source code is provided (see Appendix A) to implement the procedures.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 4","pages":"Pages 169-179"},"PeriodicalIF":0.0,"publicationDate":"1991-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90013-T","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136559376","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
Finite element modelling of the behaviour of thin planar and curved plates 平面薄板和弯曲板的有限元模拟
Advances in Engineering Software and Workstations Pub Date : 1991-07-01 DOI: 10.1016/0961-3552(91)90015-V
Christopher F. Kearns
{"title":"Finite element modelling of the behaviour of thin planar and curved plates","authors":"Christopher F. Kearns","doi":"10.1016/0961-3552(91)90015-V","DOIUrl":"10.1016/0961-3552(91)90015-V","url":null,"abstract":"<div><p>The finite element has been made increasingly more accessible to engineering analysts through the development of powerful user-friendly software. It is a widely used approach to the analysis of thin planar and curved plate structures for bending behaviour. This applications-type paper describes the role which the finite element technique played in an analytical and experimental investigation of the behaviour of thin plate elements under static loading.</p><p>In this investigation, finite element analysis was used firstly to assess the validity of various assumptions used in the experimental setup and, secondly, to provide theoretical predictions for the cracking load of the small scale test specimens. One type of element examined was the thin doubly curved hyperbolic paraboloid form. Linear elastic analysis of such relatively complex geometrical shapes is now comparatively straight forward using computers.</p><p>The paper highlights the value of the finite element method as a complementary tool to experimental analysis. The data provided helps to validate the use of discrete models for the class of problem studied. The discretization and refinement of the model is greatly faciliated by modern software and hardware.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 4","pages":"Pages 185-189"},"PeriodicalIF":0.0,"publicationDate":"1991-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90015-V","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72604675","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
Numerotation functions for band and symmetric band matrices and the multiplicity calculation of a given eigenvalue λ for a tridiagonal matrix 带矩阵和对称带矩阵的计数函数以及三对角矩阵给定特征值λ的多重计算
Advances in Engineering Software and Workstations Pub Date : 1991-07-01 DOI: 10.1016/0961-3552(91)90014-U
Mongi Ben Hamadou
{"title":"Numerotation functions for band and symmetric band matrices and the multiplicity calculation of a given eigenvalue λ for a tridiagonal matrix","authors":"Mongi Ben Hamadou","doi":"10.1016/0961-3552(91)90014-U","DOIUrl":"10.1016/0961-3552(91)90014-U","url":null,"abstract":"<div><p>We give two numerotation functions Φ and Ψ respectively for a (real) band and symmetric band matrix, then we give an algorithm for the multiplicity calculation of a given eigenvalue λ for A ϵ <span><math><mtext>R</mtext></math></span><sup>n × n</sup> tridiagonal matrix.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 4","pages":"Pages 180-184"},"PeriodicalIF":0.0,"publicationDate":"1991-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90014-U","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80120547","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
An efficient solution algorithm for boundary element equations 边界元方程的有效求解算法
Advances in Engineering Software and Workstations Pub Date : 1991-07-01 DOI: 10.1016/0961-3552(91)90017-X
JoséL. Ortiz, C.V. Girija Vallabhan
{"title":"An efficient solution algorithm for boundary element equations","authors":"JoséL. Ortiz,&nbsp;C.V. Girija Vallabhan","doi":"10.1016/0961-3552(91)90017-X","DOIUrl":"10.1016/0961-3552(91)90017-X","url":null,"abstract":"<div><p>Boundary element techniques result in the solution of a linear system of equations of the type HU = GQ + B, which can be transformed into a system of equations of the type AX = F. The coefficient matrix A requires the storage of a full matrix on the computer. This storage requirement, of the order of <em>n</em><sup>*</sup><em>n</em> memory positions (<em>n</em> = number of equations), for a very large <em>n</em> is often considered negative for the boundary element method. Here, two algorithms are presented where the memory requirements to solve the system are only <em>n</em><sup>*</sup>(<em>n</em> - 1)/2 and <em>n</em><sup>*</sup><em>n</em>/4 respectively. The algorithms do not necessitate any external storage devices nor do they increase the computational efforts.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 4","pages":"Pages 197-205"},"PeriodicalIF":0.0,"publicationDate":"1991-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90017-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"54043831","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: 1
A probabilistic model to evaluate computer software piracy 评估计算机软件盗版的概率模型
Advances in Engineering Software and Workstations Pub Date : 1991-07-01 DOI: 10.1016/0961-3552(91)90018-Y
R.J. Whitley, T.V. Hromadka II
{"title":"A probabilistic model to evaluate computer software piracy","authors":"R.J. Whitley,&nbsp;T.V. Hromadka II","doi":"10.1016/0961-3552(91)90018-Y","DOIUrl":"10.1016/0961-3552(91)90018-Y","url":null,"abstract":"<div><p>The growing occurrence of computer software piracy has led to a new area of research, i.e., the development of methods to be used to supply evidence that software was copied.</p><p>One method to argue that computer source code was copied is to examine the occurence of strings of binary code (ones and zeroes) between the alleged parent and pirate codes. Given the occurence of a lengthy identical string between codes, and that string represents a development of executable code (versus data blocks that can be argued to exist in only one fashion), a model of the probability of repetition of such a string of code occurring between so-called independently derived source codes can be formulated. The developed probabilistic results can also be approximately by a simpler formula derived herein. A computer program and example computations are presented.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 4","pages":"Pages 206-210"},"PeriodicalIF":0.0,"publicationDate":"1991-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90018-Y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"54043885","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: 1
MISER3:Solving optimal control problems—an update MISER3:解决最优控制问题——一个更新
Advances in Engineering Software and Workstations Pub Date : 1991-07-01 DOI: 10.1016/0961-3552(91)90016-W
L.S. Jennings, M.E. Fisher, K.L. Teo, C.J. Goh
{"title":"MISER3:Solving optimal control problems—an update","authors":"L.S. Jennings,&nbsp;M.E. Fisher,&nbsp;K.L. Teo,&nbsp;C.J. Goh","doi":"10.1016/0961-3552(91)90016-W","DOIUrl":"10.1016/0961-3552(91)90016-W","url":null,"abstract":"<div><p>Dynamic optimization problems occur often in all fields of engineering and management science. The two previous versions of the MISER software for solving constrained optimal control problems, while proving successful on many problems, did have some drawbacks. These are outlined in this paper and the numerical analysis for correcting these problems is also outlined. The approach is one of control parameterization, expressing each control as a linear combination of simple basis functions which makes for efficiencies in the computation.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 4","pages":"Pages 190-196"},"PeriodicalIF":0.0,"publicationDate":"1991-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90016-W","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81566325","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: 69
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