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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Electrical engineering 51 (1966), S. 92-100 
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Description / Table of Contents: Contents The paper describes a procedure for calculating the impulse voltage distribution in rotating-machine windings having mutual inductance between the winding sections. The investigations has resulted in an exact closed-form solution of the governing matrix differential equation of the equivalent circuit used in the calculations. The method used in the investigations lead to the so called generalized eigenvalue problem.
    Notes: Übersicht Es wird ein Berechnungsverfahren für die Bestimmung der Stoßspannungsverteilung in Maschinenwicklungen mit induktiven Kopplungen angegeben. Die Lösung des für die Spannungsverteilung des Ersatzschemas aufgeschriebenen und in Matrizenform erhaltenen Differentialgleichungssystems zweiter Ordnung ergibt sich in geschlossener Form. Das Problem führt zur verallgemeinerten Eigenwertaufgabe von Matrizen.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Band matrices and Green's matrices have been defined by E. Asplund [1]; his basic theorem shows their relationship. The definition of one-pair-matrices was given by F. R. Gantmacher and M. G. Krein [5]; they showed that the inverse of a one-pair-matrix is a tridiagonal matrix and vice versa. Introducing the concept of strict band matrices and semi-separable matrices, and making use of the above theorems, the main result on the relationship between strict band matrices and semi-separable matrices will be proved. Further a constructive method will be given to obtain the inverse of a strict band matrix.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Electrical engineering 53 (1969), S. 95-99 
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Electrical engineering 49 (1964), S. 260-270 
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Description / Table of Contents: Summary To determine the transient voltage distribution established by a voltage impulse, the loss-free transmission line is replaced, according toH. Prinz, by a ladder network built up of inductive windings and capacitors recurring in alternating succession along the network. The end of the transmission line is terminated by a condenser of arbitrary capacity. The nodal voltages are determined by a matrix differential equation of the second order. This differential equation is solved in closed form by the simultaneous diagonalization of the coefficient matrices for arbitrary voltage surges. From the general solution formula the solutions for the “open” and “earthed” line, respectively, are got as a special case.
    Notes: Übersicht Zur Berechnung der durch einen Spannungsstoß erregten transienten Spannungsverteilung wird eine längskompensierte verlustfreie Fernleitung nachH. Prinz durch eine mehrgliedrige Vierpolkette abgebildet, in welcher in der Längsrichtung induktive Spulen und Kondensatoren alternierend aufeinander folgen. Am Ende ist die Fernleitung durch einen Kondensator von beliebiger Kapazität abgeschlossen. Die Spannungen der knotenpunkte werden durch eine Matrizendifferentialgleichung zweiter Ordnung bestimmt. Diese Differentialgleichung wird durch simultanes Diagnoalisieren der Koeffizientenmatrizen für einen beliebigen Spannungsstoß in geschlossener Form gelöst. Aus der allgemeinen Lösungsformel ergeben sich die Lösungen für die Spezialfälle der „geöffneten” bzw. „starr geerdeten” Fernleitung.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 25 (1969), S. 691-692 
    ISSN: 1420-9071
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Zusammenfassung Eine bedeutende Menge der gesamten Folsäure der Mäuseleberzellen ist in den Mitochondrien vorhanden. Auch nach Inkubation des Leberhomogenats mit radioaktiver Folsäure wird der Grossteil der Radioaktivität im mitochondrialen Anteil gefunden.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Acta mechanica 41 (1981), S. 1-9 
    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: Summary A method for analyzing the improved variant of the classical shear model of Mörsch is presented. This variant makes it possible to judge the influence of the prestressing upon the stiffness of the reinforced or prestressed concrete beam. The method is appropriate for treating in analytical form the discrete model with infinite number of elements. Periodical boundary conditions play a decisive role in the treatment. These boundary conditions enable us to apply the theory of block matrices consisting of cyclic blocks. The well known spectral analysis of cyclic matrices leads to explicit solutions which can be written as definite integrals if the number of elements tends to infinity.
    Notes: Zusammenfassung Es wurde eine Methode vorgeführt, mit deren Hilfe eine weiterentwickelte Variante des klassischen Mörschschen Schubmodells untersucht werden kann. Die Variante dient unter anderem dazu, den Einfluß der Vorspannung auf die Steifigkeit der Stahlbeton- bzw. Spannbetonbalken zu beurteilen. Die Berechnungsmethode erweist sich als geeignet, um diskrete Modelle aus unendlich vielen Elementen in analytischer Form zu behandeln. Darin spielen die benutzten periodischen Randbedingungen eine entscheidende Rolle. Diese Randbedingungen ermöglichen die Anwendung der Theorie der aus zyklischen Blöcken bestehenden Hypermatrizen. Die bekannte Spektralzerlegung der zyklischen Matrizen führt auf explizite Lösungen die nach dem Grenzübergang in Integralform geschrieben werden können.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Acta mechanica 56 (1985), S. 17-29 
    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
    Notes: Summary Pressed sleeve splicing is a method of reinforcing bar connection. The model of the splicing consists of two bars connected at equidistant intervals. The solution of the staticallyn-times indetermined problem is given by the force method by means of the indirect consideration of plastic deformations. The system of equations of the force method is solved in an explicit form recognizing that the coefficient matrix is a modified one-pair matrix. Further use of the theorem on the inverse of modified matrices enabled us to solve the elastic problem in closed form. The plastic deformations of the connections are represented by the modification of the system, which is solved by repeated use of the above theorems.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1618-2650
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1618-2650
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1618-2650
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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