Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Large elastic deformations in thin rods (1981)
    Springer
    Archive of applied mechanics 51 (1981), S. 139-149 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht In diesem Artikel wird eine analytische Methode zur Bestimmung von großen elastischen Verformungen eines schief gekrümmten Stabes durch exakte Formeln entwickelt. Dieses Problem wird durch ein System von fünfzehn nichtlinearen, gewöhnlichen Differentialgleichungen erster Ordnung beschrieben; die Unbekannten des Systems sind sowohl die endlichen Krümmungs- und Torsionsfunktionen als auch die verallgemeinerten inneren Kräfte und Verschiebungen des Stabes. Ferner wird das Problem des dünnen beidseitig gelagerten zylindrischen Stabes, welcher koplanaren Endlasten unterliegt, untersucht, und geschlossene Formeln werden erhalten. Schließlich werden die Effektivität und die Möglichkeiten der Methode durch mehrere numerische Anwendungen dargestellt.
    Notes: Summary In this paper an appropriate analytical treatment for the determination, through exact formulae, of large elastic deformations in thin skew-curved rods is presented. This problem is associated with a system of fifteen nonlinear, ordinary, differential equations of the first order; the unknowns of the system are the final curvature and torsion functions, as well as the generalized internal forces and displacements of the rod. Subsequently, the problem of a thin cantilever circular rod subjected to terminal co-planar forces is examined and closed formulae determining its generalized displacements are obtained. Finally, the effectiveness and the potentialities of the method are demonstrated by several numerical applications.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00535961
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain-hardening exponent (1990)
    Springer
    Archive of applied mechanics 60 (1990), S. 444-462 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Es werden geschlossene Lösungen für die Spannungs- und Verzerrungsfelder eines plastisch inkompressiblen Materials mit Verfestigung nach einem Potenzansatz und mit einem Riβ bei ebener Formänderung abgeschätzt. Eine geeignete Entkopplungsmethode für ein von Rice und Rozengren [1] angegebenes, stark nichtlineares System gewöhnlicher Differentialgleichungen führt auf eine modifizierte nichtlineare Differentialgleichung höherer Ordnung, die mit geeigneten analytischen Schritten bei schwacher Verfestigung in geschlossener Form integrierbar ist. Anwendungen der hergeleiteten Lösungen für kleine Verfestigungsexponenten liefern Ergebnisse, die ausgezeichnet mit numerischen Ergebnissen anderer Autoren übereinstimmen. Die hier gewonnenen Lösungen umfassen eine weite Klasse von Problemen der mathematischen Plastizitätstheorie und Bruchmechanik und erweisen sich bei Anwendungen als sehr zweckdienlich.
    Notes: Summary In this paper closed form solutions for the evaluation of the stress and strain-fields are estimated for a power-law hardening, plastically incompressible material, cracked under plane-strain conditions. A convenient decoupling methodology, concerning a strongly non-linear ordinary differential system given by Rice and Rosengren [1], leads to a modified higher-order non-linear differential equation which for the case of low strain-hardening behaviour, using appropriate analytical treatments, is integrated in a closed form. Applications of the derived solutions for low hardening exponents yield results which are in excellent agreement with those derived numerically by other investigators. The solutions obtained herein cover a large class of problems in the mathematical theory of plasticity and fracture mechanics, and may be proved powerful in application .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00531255
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    On the free motions of a uniform elastic helicoidal bar (1985)
    Springer
    Meccanica 20 (1985), S. 151-159 
    Details
    ISSN: 1572-9648
    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 thorough and rigorous analysis for the decoupling of a first-order partial differential system of four (3×1)-vectorial equations (with constant coefficients), governing the free three-dimensional dynamic equilibrium of an arc element of an elastic circular helicoidal bar, is presented. Through this decoupling procedure the equivalent to the system differential equation, with respect to one of the generalized displacements, results of the twelfth-order. Under the assumption that the general integral of this equation is given and for the most general case of response, the transcendental equation for the determination of the natural frequencies of the system is formulated. Finally, as an application on the method and under some restrictions the general integral of the differential equation of harmonic motions of an elastic helicoidal bar is determined in the form of elementary functions.
    Notes: Sommario Si presenta un'analisi completa e rigorosa al fine di disaccoppiare un sistema di quattro equazioni vettoriali ordinarie (a coefficienti costanti) che governano l'equilibrio dinamico tridimensionale libero di un elemento d'arco di una barra eliocoidale elastica. Attraverso questo procedimento di disaccoppiamento il sistema differenziale equivalente risulta, rispetto ad uno degli spostamenti generalizzati, del dodicesimo ordine. Sotto l'ipotesi che l'integrale generale di questa equazione sia dato si formula, per il tipo più generale di risposta, l'equazione trascendente che determina le frequenze naturali del sistema. Infine, come applicazione del metodo e sotto alcune ipotesi restrittive, si determina l'integrale generale dell'equazione differenziale dei moti armonici di una barra elicoidale elastica per mezzo di funzioni elementari.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02337634
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Nonlinear elastic analysis of planar curved beams loaded by co-planar concentrated forces (1981)
    Springer
    Journal of elasticity 11 (1981), S. 429-437 
    Details
    ISSN: 1573-2681
    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 In dieser Arbeit wird eine analytische Methode für die nichtlineare elastische Analyse einer freiträgigen ebener Tragbalkens, an desser freien Ende eine Konzentrierte Komplanare Kraft wirkt, entwickett. Nach dieser Methode die nichtlineare Differentialgleichungen, welche das Gleichgevicht des deformierten Tragbalkens beschreiben, abgekoppelt, und es wird eine geschlossene Lösung mit Hilfe elliptischer Integralen erreicht und im falle wo die Krümmung de gegebenen Tragbalkens eine lineare function des BogensS ist.
    Notes: Summary In this paper an analytical procedure for the nonlinear elastic analysis of a cantilever planar curved beam, subjected to a concentrated co-planar force at its free end, is presented. According to this method the nonlinear differential equations describing the equilibrium of the deformed beam are decoupled and a solution in the form of elliptic integrals is obtained, in the case when the curvature of the initial beam is a linear function of the areS.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00058084
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    A closed-form solution for the stress field in a rigidperfectly plastic material under plane-strain conditions (1994)
    Springer
    Acta mechanica 104 (1994), S. 121-123 
    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
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01170282
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method (1983)
    Springer
    Acta mechanica 50 (1983), S. 105-118 
    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
    Notes: Summary The present paper deals with the problem of three-dimensional forced harmonic motions of a cantilever planar-curved bar being considered as a discrete system of-n-points of mass. At these points the mass of the bar is supposed as being lumped under the form of small rectangular parallelepipeds, so that the influences of shearing forces and rotatory inertias to be taken into account. In the beginning, the generalized flexibility matrix of the system is formulated; then, based on this matrix, two independent vectorial differential equations of forced harmonic vibrations of the bar are constructed and their exact solutions are derived. Finally, as an application of the method the generalized flexibility matrix of a cantilever circular bar is formulated and the natural frequencies of the system are calculated when a small cubic body being attached at its free end is vibrating vertically to the plane of the bar.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01170444
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    A closed form solution for the static analysis of continuous skew-curved beams (1980)
    Springer
    Acta mechanica 37 (1980), S. 53-64 
    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 Mit Hilfe des Superpositionsprinzipes wird der allgemeinste Fall von Verformung und Belastung untersucht. Jedes Differentialelement der Schwerachse des Tragbalkens hat sechs Freiheitsgrade, drei Translationen und drei Rotationen. Es wird angenommen, daß drei innere Kräfte und drei innere Momente in jedem Punkt der Schwerachse des Balkens wirken. Die Richtigkeit dieser Methode wird durch Anwendung auf einen Sonderfall gezeigt.
    Notes: Summary Based on the principle of superposition, the closed form solution for the static analysis of a continuous skew-curved beam in the most general case of response and loading is presented. Each differential element of the centroidal axis of the beam is given six degrees of freedom: three translations and three rotations. Three internal forces and three internal moments are assumed to act at each point of the centroidal axis of the beam. Finally, the correctness of the method is shown through an application to a special case of a continuous skew-curved beam.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01441243
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    A closed-form solution for the stress field in a rigid-perfectly plastic material under plane-strain conditions (1989)
    Springer
    Acta mechanica 77 (1989), S. 307-313 
    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
    Notes: Summary A closed-form solution of the problem of the stress-evaluation in a rigid-perfectly plastic material under plane-strain conditions is presented. The solution is derived from the nonlinear partial differential system consisted of the equations of stress-equilibrium and an appropriate yield condition, in the present case the von Mises-Hencky one. The decoupling of the above system leads to a second order partial differential equation of the Monge type, a closed-form solution of which is obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01178329
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...