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  • Articles  (21)
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  • 1
    Electronic Resource
    Electronic Resource
    Green's functions for continuously supported plates (1989)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 40 (1989), S. 15-38 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Green's functions for an infinite elastic plate, attached respectively to a Pasternak or a Kerr base model, and subjected to a concentrated force, are obtained in terms of Bessel functions. It is shown, that for each base model, depending on the plate and base parameters, the solutions may be of different form. The method of images is then utilized to generate closed form solutions for the semi-infinite and quarter plates with simply supported boundaries. Paper also presents a generalization of Bessel functions of the Kelvin type and a discussion of their properties. They were needed for the solution of some of the equations under consideration.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945307
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    An indirect method for evaluating certain infinite integrals (1978)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 29 (1978), S. 380-386 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Die Arbeit führt eine neue Methode zur genauen Auswertung gewisser unendlicher Integrale ein Diese Methode wird an einer Anzahl nicht in den gängigen Integraltafeln enthaltenen Integralen demonstriert. Die ausgewerteten Integrale sind vom Typ $$\int_0^\infty {kei (\lambda \eta ) d\eta ;} \int_{ - \infty }^\infty {kei (\lambda \sqrt {x^2 + \eta ^2 } ) d\eta ;} \int_{ - \infty }^\infty {sin (\alpha \eta ) kei|\lambda (y - \eta )|d\eta }$$ (kei=modifizierte Besselfunktion). Es wird gezeigt wie auch andere Integrale dieses Typs durch die gezeigte Methode leicht erhalten werden können.
    Notes: Summary This paper introduces a new approach for evaluating exactly certain infinite integrals. The method is demonstrated on a number of integrals which are not listed in the standard integral tables. The evaluated integrals are of the type $$\int_0^\infty {kei (\lambda \eta ) d\eta ;} \int_{ - \infty }^\infty {kei (\lambda \sqrt {x^2 + \eta ^2 } ) d\eta ;} \int_{ - \infty }^\infty {sin (\alpha \eta ) kei|\lambda (y - \eta )|d\eta }$$ where kei is a modified Bessel function. It is also shown how other integrals of this type may be easily evaluated by the presented method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01590759
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  • 3
    Electronic Resource
    Electronic Resource
    A study of a new foundation model (1965)
    Springer
    Acta mechanica 1 (1965), S. 135-147 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Die Eigenschaften eines neuen Fundamentmodells, das aus zwei Federschichten besteht, die durch eine Schubschichte verbunden sind, werden studiert. Die Untersuchung folgt dem klassischen Problem des starren Stempels auf elastischer Unterlage. Um die Zahl der Fundamentkonstanten auf das absolut Notwendige zu reduzieren, wird einer möglichen Abhängigkeit zwischen den Konstanten der oberen und der unteren Federschichte besondere Aufmerksamkeit gewidmet, wobei vor allem das Konstantenverhältnis 3 betrachtet wird, das demReissnerschen Modell entspricht. Ein Vergleich der errechneten Druckverteilung mit Versuchsergebnissen scheint diesen Wert zu bestätigen, womit sich die Zahl der Konstanten auf 2 erniedrigt. Die Vorteile des vorgeschlagenen Modells werden hervorgehoben.
    Notes: Summary The characteristics of a new foundation model, consisting of two spring layers interconnected by a shear layer, are studied. The study is conducted on the classical problem of a foundation subjected to a rigid stamp. In order to reduce the number of foundation constants to an absolutely necessary minimum, special attention is given to a possible dependence of the constants of the upper and lower spring layer, particularly to the spring constant ratio three which is suggested byReissner's foundation model. A comparison of the obtained pressure distributions with relevant experimental data seem to support the adoption of this value, thus reducing the number of foundation constants to two. Advantages of the presented model over other foundation models are pointed out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01174308
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  • 4
    Electronic Resource
    Electronic Resource
    The instability of a rectangular elastic solid (1967)
    Springer
    Acta mechanica 4 (1967), S. 43-63 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Die Arbeit beginnt mit einer kritischen Übersicht über die neueren Untersuchungen verwandter Probleme. Das gestellte Problem, in Fig. 2 erläutert, wird im folgenden für richtungstreue und für hydrostatische Querlastq gelöst, wobei die vonNovozhilov angegebene Formulierung benützt wird und die Dehnungen sowie die Schubverformungen klein gegen eins angenommen werden. Da die Drehwinkel in der Rechnung behalten werden und sich die erhaltenen Ausdrücke für dünne Platten auf entsprechendeEulersche zurückführen lassen, wird gefolgert, daß derLegenyasche Vorschlag, die klassische Stabilitätstheorie sollte durch Hineinnahme des Drehwinkeleinflusses ergänzt werden, auf fehlerhaften Ergebnissen beruht. Das hier gefundene Ergebnis, daß der Quader fürq=p instabil werden kann widerspricht den Ergebnissen anderer Autoren. Die Arbeit schließt mit einem Vergleich von Knicklast-Schlankheitsgrad-Kurven, die aus den Resultaten verschiedener Autoren gewonnen wurden. Die Schaubilder zeigen, daß die klassische Beul-(Knick)-Theorie dünner Platten (und Stäbe) genaue Ergebnisse bis zum Schlankheitsgradh/L=0,15 liefert und bestätigen so die Gültigkeit einer in der Baumechanik üblichen Annahme.
    Notes: Summary The paper starts with a critical survey of recent investigations of related problems. The title problem shown in Fig. 2 is then solved whenq is constant directional and whenq is hydrostatic, using the complete formulation given byNovozhilov with the only assumption being that the elongations and shears are small compared to unity. Since the angles of rotation were retained in the formulation, and the obtained expressions did reduce for thin plates to the correspondingEuler-type expressions, it is concluded thatLegenya's suggestion, that the classic stability theory of plates and shells should be reconsidered taking into consideration the angles of rotation, is based on erroneous results. The results of the present paper confirm that whenq=p the solid can become unstable which contradicts the findings of other investigators. The paper concludes with a comparison of “buckling pressure versus slenderness ratio” curves which are based on results of a number of investigators. These graphs demonstrate that the classical theory of buckling of thin plates (and beams) yields accurate results up toh/L=0.15, thus verifying the validity of a usual assumption of structural mechanics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01291087
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  • 5
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    On the Buckling of Slender Piles (1988)
    Elsevier
    Details
    Publication Date: 1988-06-01
    Print ISSN: 0038-0806
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Published by Elsevier
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  • 6
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    Tests and Analyses of Footings on a Sand Base (1989)
    Elsevier
    Details
    Publication Date: 1989-09-01
    Print ISSN: 0038-0806
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Published by Elsevier
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  • 7
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    A study of a new foundation model (1965)
    Springer
    Details
    Publication Date: 1965-06-01
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Springer
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  • 8
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    The instability of a rectangular elastic solid (1967)
    Springer
    Details
    Publication Date: 1967-03-01
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Springer
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  • 9
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    Green's functions for continuously supported plates (1989)
    Springer
    Details
    Publication Date: 1989-01-01
    Print ISSN: 0044-2275
    Electronic ISSN: 1420-9039
    Topics: Mathematics , Physics
    Published by Springer
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  • 10
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    An indirect method for evaluating certain infinite integrals (1978)
    Springer
    Details
    Publication Date: 1978-05-01
    Print ISSN: 0044-2275
    Electronic ISSN: 1420-9039
    Topics: Mathematics , Physics
    Published by Springer
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