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  • 1
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1990)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 41 (1990), S. 313-314 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945118
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A projective criterion to the coordinate partitioning method for multibody dynamics (1994)
    Springer
    Archive of applied mechanics 64 (1994), S. 86-98 
    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 Bei der Simulation der Bewegunsgleichungen von Mehrkörpersystemen mit kinematischen Schleifen in Minimalform stellt sich die Frage nach der Wahl günstiger verallgemeinerter Koordinaten. Hierfür wird ein Projektionskriterium vorgeschlagen, welches die Trennung der systembeschreibenden redundanten Koordinaten in die verallgemeinerten und davon abhängige Koordinaten gestattet. Durch Anwendung eines Verfahrens zur Rückwärtstransformation der kinematischen Beschreibung lassen sich in diesen explizite Schließbedingungen formulieren, was sich bei der Simulation vorteilhaft auswirkt; diese kann ohne Verletzung der Schließbedingungen erfolgen. Es wird auch gezeigt, wie auch bei Verwendung verallgemeinerter Koordinatenphysikalisch interpretierbare Reaktionen ermittelt werden können. Als Anwendungsbeispiel dient ein ebenes Viergelenk.
    Notes: Summary The paper discusses some developments in the coordinate partitioning method for the dynamic analysis of constrained/closed-loop multibody systems. First, the method is reformulated to a more compact form. Then, a simple and reliable projective criterion for choosing the best coordinates from the redundant ones is proposed, and some advantages are pointed out that may arise in the method by applying inverse kinematics algorithms. Finally, the problem of determination ofphysical reactions of constraints and closing conditions is discussed. A four-bar linkage mechanism serves for an illustration of some aspects of the paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00789100
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Hierarchical modeling in multibody dynamics (1998)
    Springer
    Archive of applied mechanics 68 (1998), S. 237-246 
    Details
    ISSN: 1432-0681
    Keywords: Keywords multibody systems ; multicriteria optimization ; vehicle suspensions ; hierarchical modeling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary In this paper a hierarchical approach using several mechanical models with different complexities and modeling depths to describe a single engineering system is presented. The mechanical models are derived from (but not limited to) multibody dynamics. The computer power available and improvements in theoretical understanding allow today not only to perform analyses but also to attack the problem of multimodel synthesis. Therefore, hierarchical modeling is used as a basis to analyze simultaneously models with different complexities and different excitations, and to optimize the performance with the most appropriate model for an investigated mechanical effect. Since only one single engineering system is investigated, its different models must be coupled by shared parameters, and the different criteria have to be combined with multicriteria optimization algorithms in order to obtain a single feasible design. An example taken from vehicle dynamics demonstrates the application of the approach.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004190050161
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  • 4
    Electronic Resource
    Electronic Resource
    Gravitationsstabilisierung von Satelliten auf elliptischen Bahnen (1969)
    Springer
    Archive of applied mechanics 38 (1969), S. 389-399 
    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: Summary A gravity-gradient stabilization of satellites can be achieved by means of flywheels even in the case of elliptical orbits. A control system is designed guaranteeing a satellite orientation to the earth and an optimal damping of pitch, roll, and yaw angle motion as well. The equations of motion can be written as a system of linear differential equations with periodical coefficients. A stability diagram and the optimal parameters of the system are given.
    Notes: Übersicht Durch Rotoren im Innern des Satelliten läßt sich auch auf elliptischen Umlaufbahnen eine Gravitationsstabilisierung erreichen. Es wird ein Regelsystem entworfen, das gleichzeitig die Ausrichtung des Satelliten zur Erde hin gewährleistet und die Eigenschwingungen um die Nick-, Roll- und Gierachse dämpft. Die Bewegungsgleichungen führen auf ein System linearer Differentialgleichungen mit periodischen Koeffizienten. Es werden eine Stabilitätskarte und die optimalen Parameter des Systems berechnet.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00532477
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  • 5
    Electronic Resource
    Electronic Resource
    Some advantages of stochastic methods in multicriteria optimization of multibody systems (1999)
    Springer
    Archive of applied mechanics 69 (1999), S. 543-554 
    Details
    ISSN: 1432-0681
    Keywords: Key words stochastic optimization ; simulated annealing ; multibody dynamics ; multicriteria optimization ; mechanical systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary Optimization methods became an important tool for the synthesis of complex mechanical systems. However, while deterministic approaches usually yield good convergence within a few iterations, they often lead to local minima only. Stochastic optimization, like simulated annealing, is not as sensitive with respect to local minima, but often requires high computational effort. In this paper, we describe an optimization concept founded on either a deterministic gradient-based method or a stochastic simulated annealing optimization procedure. An application to vehicle dynamics and a comparison of the different procedures is given. It turns out that simulated annealing does not only avoid local minima, but also helps to give a clearer picture of the Edgeworth-Pareto optimal set and improves the judgement of the influence of nonsensitive parameters. Beside efficiency, these properties also have to be considered when it is decided whether a stochastic or a deterministic optimization algorithm should be chosen.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004190050242
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  • 6
    Electronic Resource
    Electronic Resource
    On the stability of Staude's permanent rotations of a gyroscope with damping (1977)
    Springer
    Archive of applied mechanics 46 (1977), S. 281-292 
    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 Das Stabilitätsverhalten des unsymmetrischen gedämpften Kreisels unterscheidet sich grundsätzlich von dem bekannten Verhalten symmetrischer gedämpfter Kreisel: statisch stabile Kreisel können durch die Unsymmetrien instabil werden und statisch instabile Kreisel lassen sich durch unsymmetrische Trägheitsmomente stabilisieren. Die asymptotische Stabilität unsymmetrischer Kreisel wird mit den zeitinvarianten Bewegungsgleichungen im drehenden Bezugssystem vollständig untersucht. Dabei wird das Hurwitzsche Stabilitätskriterium benützt. Die Ergebnisse werden im Magnusschen Formdreieck für statisch stabile und statisch instabile Kreisel dargestellt.
    Notes: Summary The stability behavior of unsymmetric damped gyroscopes varies basically from the well-known behavior of symmetric damped gyroscopes: statically stable gyroscopes may be unstable due to unsymmctries and statically unstable gyroscopes can be stabilized by unsymmetric moments of inertia. The asymptotic stability of unsymmetric gyroscopes is rigorously analysed using the time-invariant equations of motion in a rotating frame and the Hurwitz theorem. The results are presented in the Magnus shape triangle as well for statically stable as for statically unstable gyroscopes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00536482
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Amplitude bounds of linear forced vibrations (1996)
    Springer
    Archive of applied mechanics 66 (1996), S. 357-368 
    Details
    ISSN: 1432-0681
    Keywords: amplitude ; linear vibration ; excitation ; damping ; bound
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary  For reasons of safety and reliability, the maximum amplitudes of vibration responses must be taken into account in engineering. The exact maximum amplitudes are available from solving linear differential equations. However, for large scale systems, it requires too much computation time to be useful. Therefore, simple amplitude bounds are of great interest for engineers. Up to now, only for classically damped linear systems, some approximate amplitude bounds were presented. In this paper, amplitude bounds of linear forced vibrations are presented for general damped linear vibrating systems. For transient, harmonic and step excitations, the presented amplitude bounds show simple relations to the system parameters, and are easy to calculate. The advantage is the possibility to judge the level of vibrations, and to choose appropriate parameters at design. Compared with the approximate underestimating amplitude bounds available in literature, the presented amplitude bounds are overestimating the maximum amplitude and, therefore, can be safely applied to general damped vibrating systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00795252
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Berechnungsverfahren für stochastische Fahrzeugschwingungen (1980)
    Springer
    Archive of applied mechanics 49 (1980), S. 235-254 
    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: Summary The dynamic analysis of random vehicle vibrations and the consequences especially to human comfort requires an integrated investigation of guideway roughness, nonlinear vehicle dynamics and human response to vibration exposure. Therefore, the complete system is characterized in the frequency as well as in the time domain. Multi-axle excitation inputs are included in the vehicle dynamics. Nonlinearities are considered by statistical linearization techniques. Then, the variances of wheel load variation, car body acceleration and human perception are determined by spectral analysis in frequency domain as well as by covariance analysis in time domain. Comparing both methods the covariance analysis is favourable for linear and, particularly, for nonlinear problems. Its efficiency is illustrated by the random vibration analysis of a nonlinear automobile model.
    Notes: Übersicht Fahrzeuge auf unebenen Fahrwegen führen Zufallsschwingungen aus, durch die Fahrkomfort und Fahrsicherheit beeinträchtigt werden können. Die Analyse solcher Fahrweg-Fahrzeug-Mensch-Systeme bedarf einer umfassenden Untersuchung der zufälligen Fahrwegunebenheiten, der nichtlinearen Fahrzeugdynamik und der menschlichen Schwingungswahrnehmung. Hierfür werden sowohl im Frequenz- als auch im Zeitbereich mathematische Modelle für diese drei Teilsysteme angegeben. Bei mehrachsigen Fahrzeugen wird dabei die Erregung in mehreren Kontaktpunkten berücksichtigt. Eventuell auftretende Nichtlinearitäten werden mit Hilfe der Statistischen Linearisierung behandelt. Die Berechnung der interessierenden stochastischen Kennwerte, d. h. der Varianzen der dynamischen Radlasten, der Fahrzeugaufbaubeschleunigungen und der menschlichen Schwingungswahrnehmung, geschieht mit der Spektraldichtemethode im Frequenzbereich oder der Kovarianzmethode im Zeitbereich. Die Gegenüberstellung der beiden Methoden ergibt Vorteile der Kovarianzmethode sowohl bei linearen als auch insbesondere bei nichtlinearen Problemen. Die dargestellten Rechenverfahren für stochastische Fahrzeugschwingungen werden anhand eines nichtlinearen Automobilmodells beispielhaft veranschaulicht.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01351337
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    Amplitude bounds of linear forced vibrations (1996)
    Springer
    Archive of applied mechanics 66 (1996), S. 357-368 
    Details
    ISSN: 1432-0681
    Keywords: amplitude ; linear vibration ; excitation ; damping ; bound
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary For reasons of safety and reliability, the maximum amplitudes of vibration responses must be taken into account in engineering. The exact maximum amplitudes are available from solving linear differential equations. However, for large scale systems, it requires too much computation time to be useful. Therefore, simple amplitude bounds are of great interest for engineers. Up to now, only for classically dampled linear systems, some approximate amplitude bounds were presented. In this paper, amplitude bounds of linear forced vibrations are presented for general dampled linear vibrating systems. For transient, harmonic and step excitations, the presented amplitude bounds show simple relations to the system parameters, and are easy to calculate. The advantage is the possibility to judge the level of vibrations, and to choose appropriate parameters at design. Compared with the approximate underestimating amplitude bounds available in literature, the presented amplitude bounds are overestimating the maximum amplitude and, therefore, can be safely applied to general damped vibrating systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00795252
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    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    Recent developments in multibody system dynamics (1991)
    Springer
    Meccanica 26 (1991), S. 7-10 
    Details
    ISSN: 1572-9648
    Keywords: Multibody system dynamics
    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: Sommario Il metodo dei sistemi multicorpo é molto indicato per l'analisi dinamica dei sistemi meccanici discreti. Le risultanti equazioni del moto vengono risolte da codici di simulazione ed illustrate mediante rappresentazione animata su computer. L'articolo presenta un approccio per un efficiente calcolo del moto e delle reazioni.
    Notes: Abstract For the dynamical analysis of discrete mechanical systems the method of multibody systems is well qualified. The resulting equations of motion are solved by simulation codes and displayed by computer animation. The paper presents an approach for the efficient computation of motions and reactions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00517718
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    Paper (German National Licenses)
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