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  • 1
    Electronic Resource
    Electronic Resource
    Oxford, UK; Malden, US : Munksgaard International Publishers
    Physiologia plantarum 120 (2004), S. 0 
    ISSN: 1399-3054
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Biology
    Notes: NADH is central to the functioning of mitochondrial respiration. It is produced by enzymes in, or associated with, the tricarboxylic acid cycle in the matrix, and it is oxidized by two respiratory chain enzymes in the inner membrane, the rotenone-sensitive complex I and the rotenone-insensitive internal NADH dehydrogenase (NDin). A simplified kinetic model for NADH turnover in the matrix of plant mitochondria is presented. Only the two main NADH-producing enzymes, NAD-malate dehydrogenase [EC 1.1.1.37] (MDH) and NAD-malic enzyme [EC 1.1.1.39] (ME), are considered. This model reproduces the complex behaviour of malate oxidation by isolated mitochondria in response to additions of ADP (state 3/state 4), NAD+ and/or rotenone, as well as to changes in pH. It is found that MDH always operates at or close to equilibrium. Changes in the activity of complex I, NDin, or ME are predicted to cause clear changes in the pattern of malate oxidation. In general, the model predicts high sensitivity to changes in the ME activity. In contrast, MDH activity can be reduced 100-fold without detectable changes in malate oxidation. It is demonstrated that it is not the high activity, but the equilibrium properties of MDH that are important for the redox-buffering function of MDH in the mitochondrial matrix. Binding of NAD+ and NADH in the matrix reduces the concentrations of free NAD+ and NADH, depending on the concentration of binding sites and the binding strength. On the basis of the modelling results it is estimated that a significant proportion of the mitochondrial NAD is bound.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 0332-1649
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Electrical Engineering, Measurement and Control Technology , Mathematics
    Notes: Ultrasonic motors have attractive properties which compare favourably with electromagnetic motors for certain applications. Their operation is based on piezoelectrically exciting bending waves in the stator and transferring energy to the rotor via friction. Prototypes are typically constructed by trial and error; theoretical studies have proved to be difficult. Describes a two-dimensional model for the stator of a travelling wave ultrasonic motor. The authors have developed a finite element program that is capable of modelling piezoelectric driven systems in the time domain, and their objective is to simulate the excitation of the travelling waves in the stator. They are in fact able to simulate travelling waves. Although the plane strain model cannot account for all excitation modes, they observe the elliptical motion of the material particles on the surface, implying that rotor motion can be mechanically induced.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 11 (1975), S. 530-530 
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 23 (1972), S. 852-857 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Summary Liapunov's direct method is applied to a simple mechanical structure with snap-through behavior. Two types of dynamic snap-through problems are considered: the case of a step load and the case of ‘impulsive’ loading. Both cases lead to initial value problems. The domains of attraction of the critical points are estimated by means of Liapunov functions. From these estimates a lower bound for the critical load is obtained. The results obtained via Liapunov's method are compared to the values found by numerical computation. In the case of ‘impulsive’ loading the bound obtained with Liapunov's method is relatively close to the exact result. The influence of different types of damping on the critical load is found easily with this method.
    Notes: Zusammenfassung Die direkte Ljapunowsche Methode wird auf das dynamische Verhalten eines einfachen gedämpften mechanischen Modells mit Durchschlagcharakteristik angewandt. Dabei werden zwei Arten von dynamischen Durchschlagproblemen behandelt: der Fall einer stufenförmigen Belastung und der Fall impulsiver Belastung. Beide Fälle führen auf Anfangswertprobleme, wobei die Einzugsgebiete der kritischen Punkte mit Hilfe Ljapunowscher Funktionen abgeschätzt werden. Aus diesen Abschätzungen ergibt sich eine untere Schranke für die kritische Last. Die auf diesem Wege erhaltenen Ergebnisse werden mit den numerisch berechneten Werten verglichen. Dabei zeigte es sich, dass die gefundene Schranke im Fall der impulsiven Belastung recht nahe an dem wirklichen Wert der kritischen Last liegt. Der Einfluss verschiedener Typen von Dämpfungskräften auf die kritische Last kann mit dieser Methode leicht untersucht werden.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Archive for rational mechanics and analysis 120 (1992), S. 327-335 
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Archive for rational mechanics and analysis 58 (1975), S. 1-9 
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Summary Routh's theorem states that a steady motion of a discrete, conservative mechanical system is stable if the dynamic potential W(q)=U(q)−T0(q) assumes a minimum. This is a generalized version of the theorem on the stability of equilibrium at a minimum of the potential energy, which is due to Dirichlet. It is well known that a steady motion may also be stable if W(q) assumes a maximum instead of a minimum. The stability is then due to the gyroscopic terms in the equations of motion, without which the steady motion would be unstable. Here it is shown that the steady motion is always unstable if not only W(q) but also H 0(q) assumes a maximum, H 0(q) being the part of the Hamiltonian that does not depend on the momenta. It is astonishing that this unexpectedly simple criterion was not found before now. In the proof, a variational formulation is used for the problem, and the instability is shown directly from the existence of certain motions which diverge from the trivial solution.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Archive for rational mechanics and analysis 42 (1971), S. 281-316 
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Summary The Lagrange-Dirichlet theorem states that the equilibrium position of a discrete, conservative mechanical system is stable if the potential energy U(q) assumes a minimum in this position. Although everything seems to indicate that the equilibrium is always unstable in case of a maximum of the potential energy, this has yet to be proven. In all existing instability theorems the function U(q) has to satisfy additional requirements which are very restrictive. In this paper instability is proved in the case of a maximum of U(q)εC 2, without further restrictions. The instability follows directly from the existence of certain types of motions which are not found as solutions of differential equations, but as the solutions of a variational problem. Existence theorems are given for the variational problem, based on a result found by Carathéodory. In similar way an “inversion” of Routh's theorem on the stability of steady motions in systems with cyclic coordinates is also given. The result obtained here is not as general as the inversion of the Lagrange-Dirichlet theorem because the equations of motion are of a more complex type.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 21 (1970), S. 841-845 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The theorem of Lagrange-Dirichlet states that the equilibrium of a discrete conservative holonomous mechanical system is stable if the potential energy assumes a minimum in this position. It seems physically obvious that the equilibrium is unstable in case of a maximum of the potential energy. This question was examined by Liapunov and Chetayev, but until now the inversion of the theorem of Lagrange has only been proved under very restrictive conditions. In this paper, a new inversion of the theorem is presented for systems of two degrees of freedom which holds under more general conditions.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Nonlinear dynamics 1 (1990), S. 433-447 
    ISSN: 1573-269X
    Keywords: Multibody systems ; clastic bodies ; geometric nonlinearities ; centrifugal stiffening
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Systems of rigid and flexible bodies undergoing large rigid body motions but small elastic deformations are investigated. In order to get the correct equations of motion one has to consider geometric nonlinearities even in the elastic coordinates. Different possibilities of independently choosing these coordinates are presented. The flexible bodies are discretized using a Ritz-Galerkin approximation. This discretization leads to ordinary differential equations for the description of the clastic vibrations of the flexible bodies as well as for the description of the rigid body motions. The modelling of deformable bodies is one aspect of our investigations. Another aim of our research is the consideration of clastic bodies in existing multibody programs, in particular in the program AUTOLEV. This is a symbol manipulating program for the formulation of the equations of motion running on PCs. Two examples are considered showing that it is possible to treat clastic bodies in this and in similar programs with the concept of modelling presented above.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Multibody system dynamics 1 (1997), S. 351-359 
    ISSN: 1573-272X
    Keywords: elastic plates ; elastic multibody systems ; symbolic dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In the present paper, it is shown how one can employ existing rigid body codes to handle systems containing elastic plates by using a Rayleigh–Ritz discretization procedure. The equations of motion are formulated for a rectangular plate undergoing large rigid body motions but small elastic deformations. Geometric nonlinearities in the elastic coordinates are taken into account to include the effect of dynamic stiffening. As an example, a spin-up maneuver for a simply-supported plate is treated.
    Type of Medium: Electronic Resource
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