scholarly journals Efficiency and Optimality of 2-period Gait from Kinetic Energy Point of View

Author(s):  
Fumihiko Asano
1988 ◽  
Vol 110 (4) ◽  
pp. 585-591
Author(s):  
Jhy-Horng Wang ◽  
Ming-Te Tsai

The instability caused by fluid leakage leads to limited performance in turbomachines. This instability may be improved by using flexible bearing supports with anisotropic stiffness. With a simplified model this effect is investigated, including the influence of many parameters. The results show that the optimum range of anistropy is strongly dependent on the parameters of the rotor-bearing system. In this paper an explanation from an energy point of view is presented to clarify the different stability behaviors with anisotropic bearing support.


2008 ◽  
Vol 58 ◽  
pp. 31-40 ◽  
Author(s):  
Hidetoshi Kobayashi ◽  
Keitaro Horikawa

The deployment of leaves with plane surface and straight parallel folds, as observed in leaves of hornbeam and beech, was investigated by using numerical methods. In both species the veins are angled at 30° to 50° from the midrib, when the leaves are outstretched. Although a higher angle allows the leaf to be folded more compactly within the bud, it has very small leaf area in the early stage of unfolding. The midrib of leaf grows very slowly at first and then it does with an almost constant speed. From the numerical simulation, it was found that the midrib grows with the minimum unfolding energy. The deployment of flowers was also investigated from mechanical point of view. A potato flower has five or six petals with triangle gussets between petals. The bud volume becomes largest when the number of petals, N, is five. However, the energy for unfolding of the model with N = 5 or 6 is smaller than those of other models, if the energy can be represented by the total kinetic energy during unfolding.


Author(s):  
Mostafa Bousder

In this paper, we present a technique to unify the Reissner–Nordstr¨om metric and the Kerr–Newman metric. We construct a specifific model and calculate the entanglement entropy of black horizon. We are interested in the entangled particle and antiparticle spinning on the black hole horizon. The two Reissner-Nordstr¨om horizons r±, are the results of the rotation of several entangled particle-antiparticle on the real horizon. The energy absorbed by a black hole is transformed into a kinetic energy of the entangled particle-antiparticles. This study provides a new type of black hole metric. We show that the rotation of an entangled system of a particle and an antiparticle can create a extremal black hole. We also explore some of the implications of this point of view for the black hole entanglement.


1882 ◽  
Vol 11 ◽  
pp. 173-175
Author(s):  
Tait

The following problem presented itself to me nearly thirty years ago. I cannot find any notice of it in books, though it must have occurred to every one who has studied the oscillations of a balance:—Two equal masses are attached to the ends of a cord passing over a smooth pulley (as in Attwood's machine). One of them is slightly disturbed, in a vertical plane, from its position of equilibrium. Find the nature of the subsequent motion of the system.The interest of this case of small motions is twofold. From the peculiar form of the equations of motion, it is of exceptional mathematical difficulty. This is probably the reason for its not having been given as an example in Kinetics. And from the physical point of view it presents a very beautiful example of excessively slow, but continued, transformation of mixed potential and kinetic energy into kinetic energy alone.


2017 ◽  
Vol 24 (1) ◽  
pp. 98-151 ◽  
Author(s):  
Per Lidström

In this paper, a discussion is undertaken concerning the use of so-called floating frames of reference in the calculation of the kinetic and elastic energies of parts in a multibody system. The use of floating frames may simplify the calculation of the elastic energy, although sometimes at the expense of more elaborate expressions for the kinetic energy. These expressions may involve terms that couple the motion of the floating frame and the relative motion of the part. The choice of a floating frame may be arbitrary but in order to obtain as simple expressions as possible some care must be taken. When a (flexible) part is connected to a rigid part one may use a frame in which the rigid part is at rest. If so then one has, in general, to deal with coupling terms in the kinetic energy for the flexible part. There is one unique frame in which these coupling terms disappear. This frame is called the principal frame of reference. Relative to this frame the kinetic energy of the part is minimal compared to the kinetic energy relative to other frames. Two independent proofs of this property are presented. The principal frame is defined by the associated change of frame mapping. This mapping is given a full characterization. It may however be cumbersome to calculate the kinetic energy relative to the principal frame. A method for doing this is designated. A frame that has been given some attention in the literature is the principal axis frame of reference. In this paper, a full characterization of this frame and its relation to the principal frame is given. Two examples of an Euler–Bernoulli beam in rotational motion are presented and compared in the light of the theoretical findings of this paper. In conventional presentations of mechanics the Euclidean spaces associated with different frames of reference are taken to be identical. In this paper this assumption is abandoned and different frames of reference will correspond to different Euclidean spaces. From a conceptual point of view this is a natural step to take in order to increase clarity and generality. It automatically includes the dependence of the reference placement on the frame of reference. This approach has been analyzed in a previous paper by the present author. References to this paper will appear whenever needed for. Consequences of this approach are investigated in terms of transformation formulas for kinematical and dynamical quantities.


RSC Advances ◽  
2015 ◽  
Vol 5 (27) ◽  
pp. 20783-20787 ◽  
Author(s):  
Weiqiang Lv ◽  
Yaxing Zhu ◽  
Yinghua Niu ◽  
Weirong Huo ◽  
Kang Li ◽  
...  

van der Waals interaction (vdW) in both on-axis and off-axis attachments of 1D Ag nano-structures are investigated by molecular static calculations to understand the thermodynamics of 1D OA growth from an energy point of view.


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