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Communications in Applied Numerical Methods最新文献

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A new third‐order finite‐difference method for transient one‐dimensional advection—diffusion 一种新的瞬态一维平流扩散的三阶有限差分方法
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060405
B. J. Noye
{"title":"A new third‐order finite‐difference method for transient one‐dimensional advection—diffusion","authors":"B. J. Noye","doi":"10.1002/CNM.1630060405","DOIUrl":"https://doi.org/10.1002/CNM.1630060405","url":null,"abstract":"The accuracy of some first and second-order methods for solving the time-dependent one-dimensional constant-coefficient advection-diffusion equation are compared theoretically on the basis of the dominant error terms in their modified equivalent partial differential equations. A new very stable three-point (in space) third-order implicit method is then developed by combining two second-order methods. The accuracies of the various methods are then compared by means of numerical tests.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"113 Suppl 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128691292","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: 29
On the construction of physical systems from spectral data 从光谱数据构建物理系统
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060404
R. Zimoch
{"title":"On the construction of physical systems from spectral data","authors":"R. Zimoch","doi":"10.1002/CNM.1630060404","DOIUrl":"https://doi.org/10.1002/CNM.1630060404","url":null,"abstract":"This paper presents an algorithm for the solution of the inverse problem for a matrix differential equation of the form Aẍ + Bẋ + Cx = 0. In the method use is made of the Taylor formula for a matrix function of many variables. It is shown that the algorithm is always convergent. The paper includes a description of the appropriate algorithms and numerical examples.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131326822","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
ODE approach to minimum‐weight design of pinned columns in buckling 屈曲中钉住柱最小重量设计的ODE方法
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060409
S. Yuan
{"title":"ODE approach to minimum‐weight design of pinned columns in buckling","authors":"S. Yuan","doi":"10.1002/CNM.1630060409","DOIUrl":"https://doi.org/10.1002/CNM.1630060409","url":null,"abstract":"The non-standard ordinary differential equations (ODEs), resulting from minimum-weight design of pinned columns in buckling, with or without the minimum cross-section constraints, are converted to an equivalent standard non-linear ODE system by using trivial ODE and interval mapping techniques. The ODE system is then directly and efficiently solved by the robust ODE code COLSYS. The longitudinal shapes and switching interface points sought are given explicily as part of the solutions with the accuracy satisfying the user pre-specified error tolerances. Compared with the analytical solutions, the numerical results obtained by this approach can be considered to be numerically exact.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130581886","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
Time-domain boundary element analysis for linear, viscoelastic problem subject to body force 受外力作用的线性粘弹性问题的时域边界元分析
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060407
W. Sim, B. Kwak
{"title":"Time-domain boundary element analysis for linear, viscoelastic problem subject to body force","authors":"W. Sim, B. Kwak","doi":"10.1002/CNM.1630060407","DOIUrl":"https://doi.org/10.1002/CNM.1630060407","url":null,"abstract":"A new boundary element formulation in the time domain is presented for the displacement and stress analysis of quasistatic, linear, viscoelastic problems under the action of body forces. The well-known concept of the particular integral is adopted for an efficient treatment of the volume integral and to improve the numerical accuracy. The stress kernels and particular integrals are derived using the elastic-viscoelastic correspondence principle. Numerical results are compared with the derived exact solutions to demonstrate the method and its accuracy.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115517427","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‐plastic hybrid/mixed finite‐element method and its application to the non‐uniform tension of square sheet metal 弹塑性混合有限元法及其在方板料非均匀拉伸中的应用
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060402
P. Hu, Dajun Zhou
{"title":"Elastic‐plastic hybrid/mixed finite‐element method and its application to the non‐uniform tension of square sheet metal","authors":"P. Hu, Dajun Zhou","doi":"10.1002/CNM.1630060402","DOIUrl":"https://doi.org/10.1002/CNM.1630060402","url":null,"abstract":"A new elastic-plastic hybrid/mixed finite-element method, presented in this paper, is used for the numerical analysis of non-uniform tension and buckling behaviour of square sheet metal under the diagonal tensile condition. The total displacement, stress and strain fields as well as their evolution up to a critical buckling condition are obtained for comparison with the experimental results by using the Moire method. It is found that the FEM can be a useful tool for studying the complex elastic-plastic deformation problem in sheet-metal forming processes.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131472526","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
On the principle of cyclic symmetry in machine dynamics 论机械动力学中的循环对称原理
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060403
V. Ramamurti, P. Seshu
{"title":"On the principle of cyclic symmetry in machine dynamics","authors":"V. Ramamurti, P. Seshu","doi":"10.1002/CNM.1630060403","DOIUrl":"https://doi.org/10.1002/CNM.1630060403","url":null,"abstract":"Cyclic symmetric structures are those that posses a circumferentially periodic geometry, e.g. gear wheels, bladed discs, etc. Accurate prediction of their static and dynamic characteristics is essential to ensure optimum design. An analysis of the entire structure is often prohibitively costly. Through illustrative examples, the essential features of an analysis scheme exploiting the geometric periodicity are brought out. Avoiding much of the mathematics, the underlying principle (termed the 'e iψ relationship') for both static and dynamic analysis is explained. The parallel to the special case of axisymmetric structures is drawn.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131155458","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
On higher‐order asymptotic factorization of non‐linear operators 非线性算子的高阶渐近分解
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060408
Andrew G. McMorran, C. H. Cooke
{"title":"On higher‐order asymptotic factorization of non‐linear operators","authors":"Andrew G. McMorran, C. H. Cooke","doi":"10.1002/CNM.1630060408","DOIUrl":"https://doi.org/10.1002/CNM.1630060408","url":null,"abstract":"Operator splitting for evolution equations which involve non-linear differential operators is investigated. The occurrence of third-orderaccurate multifactor splittings which are characterized by all-positive fractional steps and which involve at most four factors is discovered. This result is surprising, as a recent investigation by Sheng (1989), of evolution equations involving general linear operators, establishes that no third-orderaccurate factional-step splitting having all-positive fractional steps exists, regardless of the number of factors attempted. However, the present investigation indicates it is unlikely that Sheng's result has much bearing on the existence of positive-step splittings for non-linear equations. In addition to the result mentioned above, with n = 3, 4, 5, another case is exhibited of a non-linear equation which permits all-positive step, n-thorder splittings requiring only n + 1 factors. Indeed, a pathological case is examined of a partial differential equation with an annihilating operator which permits k-factor, nth-order splittings, for k > 1 and n > 1. Thus, for the non-linear case, one should expect only the unexpected. Finally, the idea of equivalent splittings for linear aganist non-linear equations is considered. For a particular equation, all splittings having five factors or less, which are obtained by considering a linearization are shown applicable also to the non-linear case. However, there exists a four-factor all-positive step splitting of the non-linear equation which is not discovered by the linearized approach.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"375 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129765102","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 note on localization phenomena and adaptive finite‐element analysis in forming processes 成形过程中的局部化现象和自适应有限元分析
Communications in Applied Numerical Methods Pub Date : 1990-02-01 DOI: 10.1002/CNM.1630060202
O. Zienkiewicz, G. C. Huang
{"title":"A note on localization phenomena and adaptive finite‐element analysis in forming processes","authors":"O. Zienkiewicz, G. C. Huang","doi":"10.1002/CNM.1630060202","DOIUrl":"https://doi.org/10.1002/CNM.1630060202","url":null,"abstract":"Presentation d'une procedure adaptative, a controle d'erreur, et a affinement de maillage pour l'etude des phenomenes de localisation et de la bande cisaillee. Discussion de l'utilisation de mailles allongees directionnellement","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133707623","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: 46
Optimal structural remodelling — simulation by virtual distortions 最优结构重构-虚拟变形仿真
Communications in Applied Numerical Methods Pub Date : 1989-07-01 DOI: 10.1002/CNM.1630050502
J. Holnicki-Szulc
{"title":"Optimal structural remodelling — simulation by virtual distortions","authors":"J. Holnicki-Szulc","doi":"10.1002/CNM.1630050502","DOIUrl":"https://doi.org/10.1002/CNM.1630050502","url":null,"abstract":"A numerical method for simulation of optimal structural redesign by virtual distortions is presented. First, the idea of the simulation technique is discussed in the case of truss structures and then the application to the case of in-plane loaded plates is made. The optimal results for the class of continuous solutions as well as for Michell's pseudocontinuums are reached.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"164 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"119000239","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
Knowledge engineering enhancement of finite element analysis 有限元分析的知识工程增强
Communications in Applied Numerical Methods Pub Date : 1987-09-01 DOI: 10.1002/CNM.1630030503
P. Breitkopf, M. Kleiber
{"title":"Knowledge engineering enhancement of finite element analysis","authors":"P. Breitkopf, M. Kleiber","doi":"10.1002/CNM.1630030503","DOIUrl":"https://doi.org/10.1002/CNM.1630030503","url":null,"abstract":"This paper describes concepts behind the IQFEM which is an experimental knowledge based system for algorithm selection in nonlinear finite element analysis. Problems demanding human expertise in the FEM field are identified. The need to emulate this expertise by means of an appropriate expert system is emphasized. Knowledge base organization and symbolic inference principles, as employed in the system, are reviewed. The IQFEM has been developed in PASCAL using the 16-bit personal computer. The paper describes the work in progress and no definite conclusions are stated.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1987-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124497643","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: 6
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