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  • 1
    Digitale Medien
    Digitale Medien
    Fast evaluation of friction forces in traction-drive contacts including thermal effects (2000)
    Springer
    Archive of applied mechanics 70 (2000), S. 479-488 
    Details
    ISSN: 1432-0681
    Schlagwort(e): Key words Traction drive ; friction ; contact ; rheology ; thermal effects
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Summary  In automotive traction drives, power is transmitted by friction forces. The friction forces result from the shear stresses developed in lubricated and highly loaded contacts between rolling bodies. Due to the kinematics of a traction drive, shear velocities occur in both the rolling direction and perpendicular to it. Due to these shear velocities and by normal pressure, the lubricant is forced to build up shear stresses. The increase of the shear stresses may be modelled by a nonlinear viscous element. The describing differential equations are coupled by the equivalent shear stress, which defines the nonlinear behaviour of the element. A fast method is described to evaluate the coupled differential equations. By using a known analytical approximation for the equivalent shear stress, the differential equations are decoupled and can be solved analytically. In an iterative procedure the equivalent shear stress is updated, and the complete solution is found. The iterative method is extended to account for thermal effects in the contact.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s004190000083
    Standort Signatur Erwartet Verfügbarkeit
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    Artikel (Nationallizenzen)
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  • 2
    Digitale Medien
    Digitale Medien
    Dynamics of spatial structure-varying rigid multibody systems (1999)
    Springer
    Archive of applied mechanics 69 (1999), S. 265-285 
    Details
    ISSN: 1432-0681
    Schlagwort(e): Key words Multibody system ; contact ; unilateral constraint ; Coulomb friction ; stick-slip ; variational inequality.
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Summary Couplings in machines and mechanisms exhibiting backlash and friction phenomena can be modeled as multibody systems with unilateral constraints and Coulomb friction. The structure of the differential-algebraic equations describing the system depends on the state of the constraints. The contact forces occurring at active constraints are taken into account in the equations of motion as Lagrange multipliers. Additionally, the kinematic conditions of all active constraints are formulated on the acceleration level. Contact and friction laws are sufficient conditions for state transitions of active constraints, and are represented by nonsmooth characteristics. Several formulations, like the linear complementarity problem, and two different nonlinear systems of equations are presented together with their solution method. The theory is applied to a mechanical system containing three-dimensional and coupled unilateral constraints with friction.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s004190050219
    Standort Signatur Erwartet Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Artikel (Nationallizenzen)
    Volltext
  • 3
    Digitale Medien
    Digitale Medien
    The complexity of induced minors and related problems (1995)
    Springer
    Algorithmica 13 (1995), S. 266-282 
    Details
    ISSN: 1432-0541
    Schlagwort(e): Graph minors ; NP-completeness ; Planar graphs ; Matching problems ; Treewidth
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract The computational complexity of a number of problems concerning induced structures in graphs is studied, and compared with the complexity of corresponding problems concerning non-induced structures. The effect on these problems of restricting the input to planar graphs is also considered. The principal results include: (1) Induced Maximum Matching and Induced Directed Path are NP-complete for planar graphs, (2) for every fixed graphH, InducedH-Minor Testing can be accomplished for planar graphs in time0(n), and (3) there are graphsH for which InducedH-Minor Testing is NP-complete for unrestricted input. Some useful structural theorems concerning induced minors are presented, including a bound on the treewidth of planar graphs that exclude a planar induced minor.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01190507
    Standort Signatur Erwartet Verfügbarkeit
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    Artikel (Nationallizenzen)
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  • 4
    Digitale Medien
    Digitale Medien
    Description of chaotic motion by an invariant probability density (1991)
    Springer
    Nonlinear dynamics 2 (1991), S. 291-304 
    Details
    ISSN: 1573-269X
    Schlagwort(e): Chaos ; Fokker-Planck-Equation ; probability density ; global description of motion
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract An observation of single trajectories exhibiting chaotic motion turns out to be disadvantageous because even smallest variations of the initial conditions grow exponentially in time and result in an unpredictable long-time behaviour. The paper gives a different approach based on a probability distribution of the state space variables which is invariant on the area of attraction and results in a global description of chaotic motion.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00045298
    Standort Signatur Erwartet Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Artikel (Nationallizenzen)
    Volltext
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