April 1978最新文献

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Anwendung von Minimaxaussagen auf ein Problem der optimalen Steuerung 将操作数据应用于最佳控制问题
April 1978 Pub Date : 1978-12-31 DOI: 10.1002/ZAMM.19780580408
W. Meuche
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引用次数: 1
Über die Lösbarkeit der Feldgleichungen des Zweiflüssigkeitsmodells für ein staubbeladenes Gas 研究了粉尘释放气体两种液体方程的可溶性
April 1978 Pub Date : 1978-12-31 DOI: 10.1515/9783112549742-002
J. Föbste
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引用次数: 0
On a System of p -Tuple Series Equations Related to the Scattering by an Inhomogeneous Sphere 关于非齐次球散射的p -元组级数方程组
April 1978 Pub Date : 1978-12-31 DOI: 10.1515/9783112549742-005
M. Idemen
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引用次数: 0
Zur Anwendung des zeitlich diskretisierten Galerkin-Verfahrens auf eine nichtlineare Evolutionsgleichung 用一种时间保密的计算方法应用非线性进化方程式
April 1978 Pub Date : 1978-12-31 DOI: 10.1002/ZAMM.19780580409
H. Wilke
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引用次数: 1
Frontmatter
April 1978 Pub Date : 1978-12-31 DOI: 10.1515/9783112549742-fm
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引用次数: 0
Lösung irikonsistenter linearer Gleichungssysteme und Bestimmung einer Pseudoinversen für rechteckige Matrizen durch Spaltenapproximation 解决三角形方程系统,用劈开方法确定一个长方形公文
April 1978 Pub Date : 1978-12-31 DOI: 10.1515/9783112549742-006
G. Maess, W. Peters
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引用次数: 0
Die Greensche Matrix für zwei aneinander reibungsfrei gleitende elastische Halbräume mit verschiedenen Lameschen Moduln 绿色弹性服模型需要一些金属离子调节
April 1978 Pub Date : 1978-12-31 DOI: 10.1515/9783112549742-004
L. Jentscii
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引用次数: 0
Метод функций г рина нри решении краевых аадач уравнения теплопроводности в нецилиндрических областях
April 1978 Pub Date : 1978-12-31 DOI: 10.1515/9783112549742-003
Эдуард Михайлович Карташов, В. М. Нечаев
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引用次数: 0
Mathematisches Modell und Lösung für die Schmierfilmdicke bei elastohydrodynamischem Kugelkontakt 动态四射运动破坏度的数学模型
April 1978 Pub Date : 1978-12-31 DOI: 10.1002/ZAMM.19780580402
C. Weber, E. Adams
{"title":"Mathematisches Modell und Lösung für die Schmierfilmdicke bei elastohydrodynamischem Kugelkontakt","authors":"C. Weber, E. Adams","doi":"10.1002/ZAMM.19780580402","DOIUrl":"https://doi.org/10.1002/ZAMM.19780580402","url":null,"abstract":"Die durch O. Reynolds (1886) begrundete klassische hydrodynamische Schmiertheorie fuhrt u. a. im Fall der hier behandelten Punktberuhrung auf ein nicht akzeptables Ergebnis: Die durch Kapitza [10] angegebene Losung fur den Fall des Kugelkontaktes liefert das Verschwinden des Integrals uber die Druckverteilung und damit auch der Traglast. Es wird hier gezeigt, das diese Losung eindeutig ist. Entgegen experimentellen Beobachtungen [20] ergibt die elastohydrodynamische Behandlung des Problems in [2] und in [3] negative Drucke mit nicht vernachlassigbar kleinem Betrag auf der Abstromseite. Dieser Mangel wird hier durch eine physikalisch begrundete Abanderung des Freigliedes der Reynoldsschen Gleichung vermieden. Das dabei benutzte mathematische Modell beschreibt die elastische Verformung naherungsweise durch Annahme eines kreisformigen Hertzschen Spaltes konstanter Filmdicke h0, auserhalb dessen die beiden festen Kugeln unverformt sind. Damit wird die Druckverteilung im inkompressiblen isothermen Schmierfilm uberwiegend explizit sowie mit Fehlerabschatzung einer Differenzenlosung bestimmt. Durch Ubergang zur Grenze groser Lasten ergibt sich hieraus die Parameterabhangigkeit von h0 in groserer Allgemeinheit als in [2] oder in [3]. \u0000 \u0000 \u0000 \u0000The classical hydrodynamic theory, which was founded by O. Reynolds (1886), yields an unacceptable result in particular in case of the point contact under consideration here: according to Kapitza's solution [10], the integral of the distribution of the pressure p and, therefore, the load are zero. The uniqueness of this solution is shown here. Opposite to experimental observations, the elastohydrodynamic treatment of the problem in [2] and in [3] yields non-negligible negative values of p downstream of the point of closest distance of the spheres. This shortcoming is avoided here by use of a physically justified modification of the right-hand side of Reynolds' equation. The mathematical model employed here approximates the elastic deformation by assuming a circular Hertzian contact area with constant film thickness h0 and no deformation of the spheres outside of this gap. By use of this model, the pressure distribution in the incompressible isothermal liquid film is determined predominantly explicitly and with an error estimate for a difference solution. In the limit of large loads, h0 as a function of parameters is determined here with more generality than in [2] and in [3].","PeriodicalId":330786,"journal":{"name":"April 1978","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1978-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130590205","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
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