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  • 1
    Series available for loan
    Series available for loan
    Hanover, NH : U.S. Army Materiel Command, Terrestrial Sciences Center, Cold Regions Research & Engineering Laboratory
    Associated volumes
    Call number: ZSP-202-260
    In: Research report
    Description / Table of Contents: CONTENTS: Preface. - Abstract. - Introduction and statermnt of problem. - Solution of problem shown in Figure 3. - Solution of problem shown in Figure 4. - The negligibility of the effects of buoyancy and incompressibility of the sealed liquid. - Literature cited.
    Description / Table of Contents: After a brief description of the circumstances which led to the investigation of the title problem and discussion of some related previous investigations, exact solutions are derived for a circular plate which seals an incompressible liquid, is clamped along the boundary and is subjected at an arbitrary point to a lateral concentrated force P. For the case when the plate is covered by a thin liquid layer the solution is obtained in closed form. When this liquid layer is absent, the solution is obtained as an infinite series. The paper concludes with a study of the range of the parameter ([Lambda] a) for which the effort of buoyancy is negligible upon the deflections and stresses in the plate.
    Type of Medium: Series available for loan
    Pages: iv, 11 S. : Ill.
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory, CRREL, US Army Material Command 260
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  • 2
    Series available for loan
    Series available for loan
    Wilmette, Ill. : Snow Ice and Permafrost Research Establishment, Corps of Engineers, U.S. Army
    Associated volumes
    Call number: ZSP-202-59
    In: Research report / Cold Regions Research and Engineering Laboratory, 59
    Description / Table of Contents: Summary: The deflection expression of an infinite plate subjected to a concentrated force is used with the "method of images" to obtain solutions for 6 plates with simply supported edges. The semi-infinite plate, the wedge-shaped plate, and its special case, the rectangular corner plate, are solved in closed form; and the infinite strip, the semi-infinite strip, and the rectangular plate are solved as rapidly convergent series. Behavior under a concentrated force is studied in more detail for the semi-infinite plate and the rectangular corner plate. Relationships for obtaining bending moments, shear forces and reaction distributions as well as derivatives of the kei-function with respect to 𝗋 and 𝛳 are given in the appendices.
    Type of Medium: Series available for loan
    Pages: iv, 12, [2] Seiten , Illustrationen
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory 59
    Language: English
    Note: CONTENTS Preface Introduction and statement of the problem Solution of the boundary value problems for simply supported boundaries Semi-infinite plate Wedge-shaped plate Rectangular corner plate Infinite strip Semi-infinite strip Rectangular plate Remarks on the problem of arbitrary load distribution References Appendix A Appendix B
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  • 3
    Call number: ZSP-201-79/19
    In: CRREL Report, 79-19
    Description / Table of Contents: The critical velocities of loads moving over floating ice plates have been determined by several authors. In all these analyses it was assumed that the in-plane force field in the ice cover is zero. However, due to constrained thermal strains, in-plane forces do occur in the field. The purpose of the present paper is to determine their effect upon the critical velocities of the moving loads. It is shown that a uniform compression force field reduces the critical velocity, whereas a tension force field has the opposite effect.
    Type of Medium: Series available for loan
    Pages: ii, 12 Seiten , Illustrationen
    Series Statement: CRREL Report 79-19
    Language: English
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  • 4
    Series available for loan
    Series available for loan
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
    Associated volumes
    Call number: ZSP-202-109
    In: Research report / Cold Regions Research and Engineering Laboratory, 109
    Description / Table of Contents: Summary: The present paper contains a critical study of a number of foundation models suggested by various investigators, as well as a further development of some of the ideas involved. It is found that the model by Pasternak is the most natural extension of the Winkler foundation. It is also shown that the "non-solvability" of the problem of a finite bean or plate resting on a continuous foundation as posed by Wieghardt and further elaborated by Pflanz is not correct, and that problems of this type are solvable for any load distribution permissible in classical plate theory. The paper concludes with derivations of differential equations for plates resting on viscous and viscoelastic foundations, which may be used for solving problems involving compacted snow and permafrost bases.
    Type of Medium: Series available for loan
    Pages: iv, 15 Seiten , Illustrationen
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory 109
    Language: English
    Note: CONTENTS Preface Summary Introduction The Hetényi foundation The Filonenko-Borodich foundation The Pasternak foundation Plates on a Pasternak foundation Visco-elastic Pasternak foundation Plates on visco-elastic foundations References Appendix A: Notation
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  • 5
    Series available for loan
    Series available for loan
    Hanover, NH : U. S. Cold Regions Res. and Eng. Laboratory
    Associated volumes
    Call number: ZSP-201-78/15
    In: CRREL Report, 78-15
    Description / Table of Contents: This report first discusses the general approach for calculating the horizontal forces an ice cover exerts on a structure. Ice force determination consists of two parts: (1) the analysis of the in-plane forces assuming that the ice cover remains intact and (2) the use of a failure criterion, since an ice force cannot be larger than the force capable of breaking up the ice cover. For an estimate of the largest ice force, an elastic plate analysis and a failure criterion are often sufficient. A review of the literature revealed that, in the majority of the analyses, it is assumed that the failure load is directly related to a 'crushing strength' of the ice cover. However, observations in the field and tests in the laboratory show that in some instances the ice cover fails by buckling. This report reviews the ice force analyses based on the buckling failure mechanism and points out their shortcomings. The report then presents a new method of analysis which is based on the buckling mechanism
    Type of Medium: Series available for loan
    Pages: iv, 13 S. : Ill.
    Series Statement: CRREL Report 78-15
    Language: English
    Note: CONTENTS Abstract Preface Introduction and statement of problem Review of relevant analyses and tests Determination of the largest ice force on an isolated structure Preliminary remarks The buckling analysis of a floating wedge Proposed method to determine Literature cited ILLUSTRATIONS Figure Structures which constrain the movement of the ice cover Ice cover constrained by two parallel rigid walls Analytical model used by Kheishin Observed crack patterns for different shapes of model pier Floating truncated ice wedge Critical buckling loads for floating wedge
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  • 6
    Series available for loan
    Series available for loan
    Hanover, NH : Corps of Engineers, U.S. Army, Cold Regions Research and Engineering Laboratory
    Associated volumes
    Call number: ZSP-202-333
    In: Research report
    Description / Table of Contents: CONTENTS: Preface. - Introduction. - Analogy method. - Method based on the bending theory of elastic plates and the criterion [Sigma]max = [Sigma]f. - Methods based on viscoelastic theories. - Methods based on the yield line theory or limit analysis. - Comparison of analytical and test results. - General remarks. - Effect of bending and shearing forces on deflection of an ice cover. - Determination of Pf(O). - Determination of Pf(t). - Determination of [Sigma]f. - Summary and recommendations. - Literature cited.
    Description / Table of Contents: This report contains a critical survey of the literature on the bearing capacity of floating ice plates. It consists of a discussion of general questions, a critical survey of analytical attempts to determine the bearing capacity of floating ice plates, and a survey of field and laboratory tests on floating ice plates and their relation to the analytical results. The paper concludes with a systematic summary of the results, a discussion of observed shortcomings, and suggestions for needed investigations.
    Type of Medium: Series available for loan
    Pages: iv, 43 Seiten , Illustrationen
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory, CRREL, US Army Material Command 333
    Language: English
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  • 7
    Series available for loan
    Series available for loan
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
    Associated volumes
    Call number: ZSP-201-81/9
    In: CRREL Report, 81-9
    Description / Table of Contents: Abstract: The calculation of the largest horizontal force a relatively thin floating ice plate may exert on a structure requires the knowledge of the buckling load for this floating plate. In the published literature on the stability of continuously supported beams and plates, it is usually assumed that this buckling force corresponds to the lowest bifurcation force Pcr. However, recent studies indicate that, generally, this is not the case, and this report clarifies the situation for floating ice plates. This problem is first studied on a simple model that exhibits the buckling mechanism of a floating ice plate but is amenable to an exact nonlinear analysis. This study shows that, depending on the ratio of the rigidities of the "liquid" and "plate," the post-buckling branch may rise or drop away from the bifurcation point. Thus, Pcr may or may not be the actual buckling load. It is also shown that when lift-off of "plate" from the "liquid" takes place the actual buckling load may drop substantially. This study is followed by an analysis of a floating compressed semi-infinite plate with a straight free edge, assuming that there is no lift-off. It is found that for this case there always exists a buckling load that is lower than Pcr. According to the obtained results, the value Pcr should be used with caution as a buckling load for floating ice plates. It is suggested that the buckling load be determined using the postbuckling equilibrium branch of the plate, taking into consideration the possibility of lift-off of the ice cover from the liquid base.
    Type of Medium: Series available for loan
    Pages: 7 Seiten , Illustrationen
    Series Statement: CRREL Report 81-9
    Language: English
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  • 8
    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.
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  • 9
    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.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Acta mechanica 1 (1965), S. 135-147 
    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.
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