Bond Graphs for Nonholonomic Dynamic Systems

1976 ◽  
Vol 98 (4) ◽  
pp. 361-366 ◽  
Author(s):  
F. T. Brown
Keyword(s):  
Kinetic Energy ◽  
Potential Energy ◽  
Dynamic Systems ◽  
Broad Class ◽  
Nonholonomic Systems ◽  
The Other ◽  
Bond Graphs ◽  
Generalized Potential ◽  
Engineering Significance ◽  
Nonholonomic Dynamic Systems

Two very different dynamic systems, one holonomic and the other nonholonomic, can have identical expressions for generalized kinetic energy, generalized potential energy, and transformational constraints between the generalized velocities, and therefore might be confused. Bond graphs for a broad class of nonholonomic systems are shown to differ from their holonomic counterparts simply by the deletion of certain gyrators. Simple examples suggest the engineering significance of nonholonomic systems.

scholarly journals An Analysis of the Energetics of Tropical and Extra-Tropical Regions for Warm ENSO Composite Episodes

2017 ◽  
Vol 32 (1) ◽  
pp. 39-51
Author(s):  
Zayra Christine Sátyro ◽  
José Veiga
Keyword(s):  
Kinetic Energy ◽  
Potential Energy ◽  
El Niño ◽  
Energy Production ◽  
El Nino ◽  
Southern Oscillation ◽  
Stable Condition ◽  
The Other ◽  
Tropical Regions ◽  
Using Data

Abstract This study focuses on the quantification and evaluation of the effects of ENSO (El Niño Southern Oscillation) warm phases, using a composite of five intense El Niño episodes between 1979 – 2011 on the Energetic Lorenz Cycle for four distinct regions around the globe: 80° S – 5° N (region 1), 50° S – 5° N (region 2), 30° S – 5° N (region 3), and 30° S – 30° N (region 4), using Data from NCEP reanalysis-II. Briefly, the results showed that zonal terms of potential energy and kinetic energy were intensified, except for region 1, where zonal kinetic energy weakened. Through the analysis of the period in which higher energy production is observed, a strong communication between the available zonal potential and the zonal kinetic energy reservoirs can be identified. This communication weakened the modes linked to eddies of potential energy and kinetic energy, as well as in the other two baroclinic conversions terms. Furthermore, the results indicate that for all the regions, the system itself works to regain its stable condition.

CENTRIFUGAL IMPULSE AS COORDINATE IN THE TABARROKIAN FORMULATION

1995 ◽  
Vol 19 (3) ◽  
pp. 261-269
Author(s):  
F.P.J. Rimrott ◽  
W.M. Szczygielski
Keyword(s):  
Kinetic Energy ◽  
Potential Energy ◽  
Centrifugal Force ◽  
Nonholonomic Constraint ◽  
Lagrange Equation ◽  
Equations Of Motion ◽  
Essential Elements ◽  
Model System ◽  
The Other ◽  
Generalized Displacements

While the well-known conventional Lagrange equation, based on kinetic coenergy and potential energy, uses generalized displacements of the inertia (mass) elements of a system as coordinates, the complementary alternative or Tabarrok formulation, is based on kinetic energy and potential coenergy, and uses as coordinates the generalized impulses of the system’s force (spring) elements. A model system specifically selected to be as simple as possible, yet to contain all essential elements for an illustration of the application of the Tabarrokian approach for the case where a centrifugal force is present, has been devised to show that the centrifugal impulse appears as additional coordinate for the complementary Lagrangian, and that the system turns out to be non-Tabarrokian. It is then shown that the centrifugal impulse is related to the other impulse coordinates by a nonholonomic constraint. Eventually the compatibility equations of motion for the model system are obtained.

An Energy Theorem for Developing Testing Functions for Numerical Simulations of Dynamic Systems

1995 ◽  
Vol 117 (2) ◽  
pp. 193-198 ◽  
Author(s):  
C. Q. Liu ◽  
R. L. Huston
Keyword(s):  
Kinetic Energy ◽  
Numerical Simulations ◽  
Dynamic Systems ◽  
Mechanical Systems ◽  
Nonholonomic Systems ◽  
Conservation Principle ◽  
Kane’S Equations ◽  
Kane's Equations

This paper presents a kinetic energy theorem, applicable with simple nonholonomic systems. The theorem provides a basis for developing testing functions for measuring the accuracy of numerical simulations—even where no classical conservation principle is applicable. The theorem is established using Kane’s equations for general mechanical systems. A set of general testing functions are then developed. Several examples are presented.

Dependence of the joint configuration on the dynamic immobility fulcrum

2019 ◽  
pp. 108-114
Author(s):  
A. D. Kozlov ◽  
Yu. P. Potekhina
Keyword(s):  
Kinetic Energy ◽  
Convex Surface ◽  
The Other ◽  
Concave Surface ◽  
Joint Configuration ◽  
Articular Surfaces

Although joints with synovial cavities and articular surfaces are very variable, they all have one common peculiarity. In most cases, one of the articular surfaces is concave, whereas the other one is convex. During the formation of a joint, the epiphysis, which has less kinetic energy during the movements in the joint, forms a convex surface, whereas large kinetic energy forms the epiphysis with a concave surface. Basing on this concept, the analysis of the structure of the joints, allows to determine forces involved into their formation, and to identify the general patterns of the formation of the skeleton.

scholarly journals The spectrum of thallium fluoride

1937 ◽  
Vol 160 (901) ◽  
pp. 242-253 ◽  
Keyword(s):  
Absorption Spectrum ◽  
Kinetic Energy ◽  
The Other ◽  
Molecular Spectra ◽  
Absorption Tube ◽  
Saturated Vapour ◽  
Long Wave ◽  
Original Investigation ◽  
Wave Edge

This study of the thallium fluoride spectrum was undertaken as part of a detailed investigation into the molecular spectra of the series of heavy diatomic fluorides HgF, TlF, PbF and BiF. Whereas the spectra of PbF (Rochester 1936) and BiF (Howell 1936), of which analyses have already been published, contain no very unusual features the TlF spectrum is particularly rich in them, so that it has seemed desirable to extend the original investigation in order to include the other halides of thallium. The absorption spectrum of the fluoride has already been examined by Boizova and Butkow (1936), their findings being summarized below: 1— A continuum at 2200 A appears when the absorption tube is at a temperature of 155° C. Its long-wave edge moves towards the red with increase of temperature, being at 2700 for the unsaturated vapour and at 3400 for the saturated vapour when the temperature is 280° C. They attributed this continuum to the dissociation of Tl 2 F 2 . Tl 2 F 2 → 2TlF + kinetic energy.

MULTI–INERT OSCILLATORY MECHANISM

2020 ◽  
Vol 2 ◽  
pp. 19-25
Author(s):  
I.P. POPOV
Keyword(s):  
Kinetic Energy ◽  
Potential Energy ◽  
Oscillation Frequency ◽  
Free Oscillation ◽  
Initial Conditions ◽  
Oscillatory System ◽  
Harmonic Oscillations ◽  
Oscillatory Systems ◽  
Oscillatory Mechanism ◽  
Mutual Conversion

A mechanical oscillatory system with homogeneous elements, namely, with n massive loads (multi– inert oscillator), is considered. The possibility of the appearance of free harmonic oscillations of loads in such a system is shown. Unlike the classical spring pendulum, the oscillations of which are due to the mutual conversion of the kinetic energy of the load into the potential energy of the spring, in a multi–inert oscillator, the oscillations are due to the mutual conversion of only the kinetic energies of the goods. In this case, the acceleration of some loads occurs due to the braking of others. A feature of the multi–inert oscillator is that its free oscillation frequency is not fixed and is determined mainly by the initial conditions. This feature can be very useful for technical applications, for example, for self–neutralization of mechanical reactive (inertial) power in oscillatory systems.

Tracker-assisted modelling: simultaneous validation of the conservation law of energy and the work-energy theorem

2021 ◽  
Vol 57 (1) ◽  
pp. 015012
Author(s):  
Unofre B Pili ◽  
Renante R Violanda
Keyword(s):  
Kinetic Energy ◽  
Potential Energy ◽  
Gravitational Potential ◽  
Conservation Law ◽  
Gravitational Potential Energy ◽  
Time Data ◽  
Home Based ◽  
Basic Physics ◽  
Free Falling ◽  
Work Done

Abstract The video of a free-falling object was analysed in Tracker in order to extract the position and time data. On the basis of these data, the velocity, gravitational potential energy, kinetic energy, and the work done by gravity were obtained. These led to a rather simultaneous validation of the conservation law of energy and the work–energy theorem. The superimposed plots of the kinetic energy, gravitational potential energy, and the total energy as respective functions of time and position demonstrate energy conservation quite well. The same results were observed from the plots of the potential energy against the kinetic energy. On the other hand, the work–energy theorem has emerged from the plot of the total work-done against the change in kinetic energy. Because of the accessibility of the setup, the current work is seen as suitable for a home-based activity, during these times of the pandemic in particular in which online learning has remained to be the format in some countries. With the guidance of a teacher, online or face-to-face, students in their junior or senior high school—as well as for those who are enrolled in basic physics in college—will be able to benefit from this work.

Parody in the Film Viewed through the Theory of Individuation: The Shining in Ready Player One

2019 ◽  
Vol 39 ◽  
pp. 66-94
Author(s):  
Kwangtaek Park ◽  
Sangjoon Bae
Keyword(s):  
Potential Energy ◽  
Semantic Network ◽  
The Other ◽  
Digital Culture ◽  
Original Text ◽  
Generation Process ◽  
Technical Object ◽  
New Meanings ◽  
Long Time ◽  
Gilbert Simondon

Parody which used as the way of creating for a long time has stood out by the spread of postmodernism. Parody that is defined as ‘repetition that includes difference’ by Linda Hutcheon structure the new semantic network in the process of transforming the original text. This paper focuses on the generation process of parody from the perspective of Gilbert Simondon, the theory of individuation. Likewise, technics and technical object, also the elements of culture have potential energy causing the transduction to the other individual, and individuation is occurred to form the new meanings. That is, parody is the phenomenon of individuation between the contents that have potential energy inside. Parody is animatedly applicated in the part of visual culture due to the progress of the digital culture. Especially film which is the interface between the technology, the industry, and the art, can be said as the advanced guard of parody aesthetics. After the 1970s, parody applied to begin in earnest in film produce abundant meaning in the network between film connecting the numerous work. One of the node of the film, <Ready Player One>(2018) tried parody covering the entire popular culture not only film but also game and so on. In that, <The Shining>(1980) is recontextualized of high importance. In the <The Shining> in the <Ready Player One>, value-neutral parody with no satirical or respectful intent unfolds icon or settings such as typewriter, anniversary picture, maze, and the banquet room. In this progress, after the fundamental elements in the adventure genre are taken the information of the original text, the internal potential energy form the parody. On the other hand, a filmic element such as a film texture rendering and steadycam commemorate the film historical position of the original, at the same time, those are represented in homage parody varied the meaning. Like the aforesaid parody, this brings about the process of individuation, as well as the nostalgia, which leads to trans-contextualization

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