scholarly journals Low-Input Accurate Periodic Motion of an Underactuated Mechanism: Mass Distribution and Nonlinear Spring Shaping

2021 ◽  
Author(s):  
Andrea Tilli ◽  
Elena Ruggiano ◽  
Alessandro Bosso ◽  
Alessandro Samori
Keyword(s):  
Mass Distribution ◽  
Periodic Motion ◽  
Nonlinear Spring ◽  
Underactuated Mechanism ◽  
Low Input

AN OSCILLATOR WITH CUBIC AND PIECEWISE-LINEAR SPRINGS

1991 ◽  
Vol 01 (02) ◽  
pp. 349-356 ◽  
Author(s):  
YOHANNES KETEMA
Keyword(s):  
Parameter Space ◽  
Periodic Motion ◽  
Chaotic Motion ◽  
Piecewise Linear ◽  
Cubic Nonlinearity ◽  
Nonlinear Spring ◽  
Resonant Orbits ◽  
Offset Distance ◽  
Linear Spring ◽  
Parameter Values

A system consisting of a mass attached to a nonlinear spring with negative linear stiffness and cubic nonlinearity, (i.e., a spring obeying Duffing's equation with negative linear stiffness) and a linear spring at a certain offset distance is studied. Melnikov's method is applied to determine the existence of homoclinic points for the Poincare map, and preserved resonant orbits and boundaries for these are given in the parameter space. This system is then compared to the system consisting of only the nonlinear spring with regard to the existence of parameter regimes where chaotic motion is possible. It is shown that if the linear spring is of appropriate stiffness the chaotic motion for a given set of parameter values occurring for the system consisting of only the nonlinear spring is replaced by periodic motion and the mechanism of this phenomenon is explained.

Analysis of STEM micrographs of thick objects

1978 ◽  
Vol 36 (2) ◽  
pp. 106-107
Author(s):  
S. Golladay
Keyword(s):  
Inelastic Scattering ◽  
Multiple Scattering ◽  
Mass Distribution ◽  
Cross Sections ◽  
Phase Contrast ◽  
Image Point ◽  
Contrast Effects ◽  
Total Cross Sections ◽  
Elastic And Inelastic Scattering

The theory of multiple scattering has been worked out by Groves and comparisons have been made between predicted and observed signals for thick specimens observed in a STEM under conditions where phase contrast effects are unimportant. Independent measurements of the collection efficiencies of the two STEM detectors, calculations of the ratio σe/σi = R, where σe, σi are the total cross sections for elastic and inelastic scattering respectively, and a model of the unknown mass distribution are needed for these comparisons. In this paper an extension of this work will be described which allows the determination of the required efficiencies, R, and the unknown mass distribution from the data without additional measurements or models. Essential to the analysis is the fact that in a STEM two or more signal measurements can be made simultaneously at each image point.

Mass distribution and Dynamical State of Galaxy Clusters in the LZLS Sample

2006 ◽  
Vol 20 ◽  
pp. 269-270 ◽  
Author(s):  
L.E. Campusano ◽  
E.S. Cypriano ◽  
L. Jr. Sodré ◽  
J.-P. Kneib
Keyword(s):  
Galaxy Clusters ◽  
Mass Distribution ◽  
Dynamical State

Mass distribution of hydrodynamic jets produced on the national ignition facility

2006 ◽  
Vol 133 ◽  
pp. 107-110 ◽  
Author(s):  
B. E. Blue ◽  
S. V. Weber ◽  
D. T. Woods ◽  
M. J. Bono ◽  
S. N. Dixit ◽  
...  
Keyword(s):  
Mass Distribution ◽  
National Ignition Facility

Empirical analysis of market boundaries in telecommunications

2019 ◽  
pp. 90-111 ◽  
Author(s):  
Natalia S. Pavlova ◽  
Andrey Е. Shastitko
Keyword(s):  
Law Enforcement ◽  
Empirical Analysis ◽  
Mass Distribution ◽  
End Users ◽  
Economic Modeling ◽  
Empirical Approach ◽  
Antitrust Law ◽  
Technological Changes ◽  
Loss Analysis ◽  
E Mail

The article deals with the problem of determining market boundaries for antitrust law enforcement in the field of telecommunications. An empirical approach has been proposed for determining the product boundaries of the market in the area of mass distribution of messages, taking into account the comparative characteristics of the types and methods of notification (informing) of end users; the possibilities of switching from one way of informing to another, including the evolution of such opportunities under the influence of technological changes; switching between different notification methods. Based on the use of surveys of customers of sending SMS messages, it is shown that the product boundaries should include not only sending messages via SMS, but also e-mail, instant messengers, Push notifications and voice information. The paper illustrates the possibilities of applying the method of critical loss analysis to determining the boundaries of markets based on a mixture of surveys and economic modeling.

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