Nonlinear Character of Resonance in Stretched Strings

The first of these papers considering a hydraulically actuated mechanism presents the common oscillating cylinder arrangement and sets of equations which describe the dynamic system. It then defines dimensionless groups that characterize the actuator-mechanism and explores the quasi-linear behavior of the system. This present paper focuses on the nonlinear nature of the system. Effects of transmission angle, mechanism geometry and loading are considered as well as the range of operation in which the small perturbation behavior provides an adequate description of the dynamic response. The paper closes by identifying a new parameter which plays an important role in characterizing the dependence of the system transient response on mechanism geometry.

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Brief Communication: Measuring rock decelerations and rotation changes during short-duration ground impacts

Natural Hazards and Earth System Science ◽

10.5194/nhess-18-3145-2018 ◽

2018 ◽

Vol 18 (11) ◽

pp. 3145-3151 ◽

Cited By ~ 5

Author(s):

Andrin Caviezel ◽

Werner Gerber

Keyword(s):

Short Duration ◽

Hazard Mitigation ◽

Highly Nonlinear ◽

Nonlinear Character ◽

Trajectory Models ◽

Natural Terrain ◽

Lack Of Knowledge

Abstract. Rockfall trajectories are primarily influenced by ground contacts, causing changes in acceleration and rock rotation. The duration of contacts and its influence on the rock kinematics are highly variable and generally unknown. The lack of knowledge hinders the development and calibration of physics-based rockfall trajectory models needed for hazard mitigation. To address this problem we placed three-axis gyroscopes and accelerometers in rocks of various sizes and shapes with the goal of quantifying rock deceleration in natural terrain. Short ground contacts range between 8 and 15 ms, longer contacts between 50 and 70 ms, totalling to only 6 % of the runtime. Our results underscore the highly nonlinear character of rock–ground interactions.

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CALCULATIONS OF ION TRAJECTORIES AT MAGNETOPLASMA SEPARATION AND EXPERIMENTS WITH POLYATOMIC GASES

Acta Polytechnica ◽

10.14311/ap.2017.57.0071 ◽

2017 ◽

Vol 57 (1) ◽

pp. 71-77

Author(s):

Vladimir Yuferov ◽

Sergey Shariy ◽

Tetiana Tkachova ◽

Vyacheslav Katrechko ◽

Alexander Svichkar ◽

...

Keyword(s):

Discharge Current ◽

Energy Input ◽

Pulsed Discharge ◽

Polyatomic Gases ◽

Constant Energy ◽

Mixture Separation ◽

Low Emission ◽

Vibrational Levels ◽

Nonlinear Character

Calculated trajectories of ions with different masses, indicating the possibility of a mixture separation, are obtained. Comparative experiments for plasma of monatomic and polyatomic gases (Ar, N2, CO2), upon combination of pulsed discharge with a stationary one with incandescent cathode, are carried out. The oscillograms of discharge current and voltage at low emission currents and a constant energy input show that energy is spent on other processes different from ionization. With an increase of emission current, the nonlinear character of the discharge current and voltage, which may be indicative of the role of dissociation and vibrational levels in energy consumption, is observed. In addition, there is connection between the number of atoms in molecule and the values of maximum discharge current and the pressure of injected gas.

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Justification of the Rheological Model of Process of Plastic Material Injection by the Rollers

Agricultural Engineering ◽

10.1515/agriceng-2019-0030 ◽

2019 ◽

Vol 23 (3) ◽

pp. 101-114

Author(s):

Katarzyna Szwedziak ◽

Igor Stadnyk ◽

Sergey Golyachuk ◽

Żaneta Grzywacz

Keyword(s):

Rheological Model ◽

Plastic Material ◽

Structural Parameters ◽

Structural Elements ◽

Reduced Viscosity ◽

Physical Experiments ◽

Nonlinear Character ◽

Shearing Deformation ◽

Working Bodies ◽

The Relationship

AbstractIt is justified thatproblems related to the changes in structural and mechanical properties of plastic material and influence of structural elements of equipment and modes of implementation of the for-mation process on them are considered detail, taking into account empirical data, theoretical dependencies and results of physical experiments. It was established that during the mechanical influence of rollers with grooves on a structured dispersion plastic material in the node of injection of the molding machine, internal shear, and shearing deformation have a preponderant value. Accordingly, the productivity of machines is determined mainly by the structural parameters of the working bodies geometry, kinematics, and contact area. It is shown that increasing the pressure in the plastic material causes a decrease in its volume, but the relationship between pressure and volume has a nonlinear character. It has been established that regardless the variety of flour from which the plastic material was prepared for bagels, its moisture content and the duration of fermentation reduced viscosity of the effective plastic material along with the increase of the shear stress. The paper describes the refined rheological model of the Bingham body deformation, which develops instantaneously, and the velocity of the common elastic deformation in the dough is a simultaneous function of stresses and temperatures, which are close to exponential ones.

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Management of enterprise economic security: sinergistical approach

Economics. Finances. Law ◽

10.37634/efp.2019.12(2).6 ◽

2019 ◽

pp. 30-33

Author(s):

Liudmyla PETRENKO ◽

Larysa IVANOVA

Keyword(s):

Economic Theory ◽

Control System ◽

Dynamic Equilibrium ◽

Modern Society ◽

Economic Security ◽

Economic Systems ◽

Basic Direction ◽

Exchange Information ◽

Nonlinear Character ◽

Dynamic Cooperation

One of main problems of modern society there is complex safety of the difficult systems of different nature. Today the problems of creation of the difficult nonlinear dynamic reliable systems go out on the first plan. It stipulates exceptional theoretical and practical meaningfulness of the use of methods of synergetics in a management the systems. An improvement of the existent theoretical and methodological going is near organization of control system by economic security of enterprise from position of sinergistical approach. An increase of multi-variant approach of development of the economic systems is reason of change of methodology of economic researches and a nonlinear economic theory comes on changing to the traditional economic theory. Invariants, non-linearity, coherentness and factorable synthesis, are the base concepts of sinergistical theory of management. Any socio-economic system presents by a soba complex of functional subsystems, that is bound by inter se the processes of intensive dynamic cooperation, exchange information. Application of synergetics showed in researches of economy, that most cases have an evolution direction of that through nonlinear character of connections in the system is determined by the action of insignificant factors basic direction of motion of the socio-economic systems, as a rule, informative, that prove in bifurcational processes. The condition of development and viability of any enterprise are maintenances of dynamic equilibrium, that are the aim of the system of economic security of enterprise — it’s attractor. By principles of management of enterprise economic security from positions sinergistical approaches are: complication, non-linearity, dynamic. The system of economic security of enterprise is base on principle of feed-back. Leaning on sinergistical approach, set forth raising of sinergistical synthesis of nonlinear control system by economic security. Exactly sinergistical effects that are characterized as management results in the systems cause the change of quality, and are the adequate instrument of providing of economic security.

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Dynamic Range Analysis of the Phase Generated Carrier Demodulation Technique

Advances in Optical Technologies ◽

10.1155/2014/815108 ◽

2014 ◽

Vol 2014 ◽

pp. 1-5 ◽

Cited By ~ 12

Author(s):

M. J. Plotnikov ◽

A. V. Kulikov ◽

V. E. Strigalev ◽

I. K. Meshkovsky

Keyword(s):

Theoretical Analysis ◽

Dynamic Range ◽

Range Analysis ◽

Upper Limit ◽

Low Pass ◽

Nonlinear Character ◽

Simulation Results ◽

Low Pass Filters ◽

First Time ◽

Phase Generated Carrier

The dependence of the dynamic range of the phase generated carrier (PGC) technique on low-pass filters passbands is investigated using a simulation model. A nonlinear character of this dependence, which could lead to dynamic range limitations or measurement uncertainty, is presented for the first time. A detailed theoretical analysis is provided to verify the simulation results and these results are consistent with performed calculations. The method for the calculation of low-pass filters passbands according to the required dynamic range upper limit is proposed.

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Universal scaling of thin current sheets in space plasma

10.5194/egusphere-egu21-3521 ◽

2021 ◽

Author(s):

Helmi Malova ◽

Lev Zelenyi ◽

Elena Grigorenko ◽

Victor Popov ◽

Eduard Dubinin

Keyword(s):

Hybrid Approach ◽

Russian Science ◽

Current Sheets ◽

Scale Free ◽

Universal Scaling ◽

Magnetic Field Profile ◽

Electron Sheet ◽

Nonlinear Character ◽

Drift Orbits ◽

Universal Expression

Thin current sheets (TCSs) with thicknesses about ion Larmor radii can play the key role in space; particularly they can store and then explosively release the accumulated free energy. The dynamics of ions moving along quasi-adiabatic trajectories in TCSs is different from one of magnetized electrons following guiding center drift orbits. Due to this property TCSs can be described in a frame of a hybrid approach. The thickness of the super-thin embedded electron sheet remains uncertain because of the scale-free character of magnetized electron motion. We propose a new analytical approach to describe the multilayer TCS and provide the universal expression describing the embedded electron sheet as a function of the cross-sheet transversal coordinate z characterizing TCS. We demonstrated that the unique property of the electron sheet is the nonlinear character of magnetic field profile:&#160; B(z) ~ z 1/3 which conforms excellently with MAVEN observations in the Martian magnetotail.&#160;This work was supported by the Russian Science Foundation (grant # 20-42-04418).&#160;

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Territorial distribution of investments in Russian cities in 2015-2018

Regional'nye issledovaniya ◽

10.5922/1994-5280-2020-3-6 ◽

2020 ◽

pp. 68-78

Author(s):

D. Yu. Zemlianskii ◽

V.A. Chuzhenkova

Keyword(s):

Russian Federation ◽

Small Towns ◽

Regional Heterogeneity ◽

Investment Activity ◽

Regional Economic ◽

Geographical Factors ◽

Nonlinear Character ◽

Big Cities ◽

Oil Gas

This article is devoted to analysis of the territorial investment distribution in Russian Federation cities in depending on population and economics-geographical factors. The main aim is gives raised researchers influence to the regional heterogeneity of investments distribution in cities and investment aspects of big cities development. Herewith, the shortage of works, devoted to investment situation in cities with population less 100 thousand, is remained. The work conclusions are based on the analysis of the investment distributions to the main capital for 1066 Russian Federation cities over the period from 2015 to 2018 years. Based on this analysis, conclusions are made about hard investment territorial distribution dependence from the regional situation. The cities influence to the investment situation firstly manifests in the Moscow and the St. Petersburg agglomerations. But even other cities over a million people mostly depends on its regional economic. It was found, that investment distribution dependence from the city’s population has a nonlinear character. The distortions appear because of small oil-gas cities and the large and largest cities underinvestments. The polarization is especially strong among the small towns: 2% of all the settlement with population less than 50% concentrates almost quarter of investments for this cities group. It was found, that the investment activity for most of the cities doesn’t bring comparable results for cities economics and budget.

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Electricity Load Forecasting Using Machine Learning Techniques

Business Intelligence in Economic Forecasting ◽

10.4018/978-1-61520-629-2.ch017 ◽

2010 ◽

pp. 318-336

Author(s):

Manuel Martín-Merino Acera

Keyword(s):

Machine Learning ◽

Time Series ◽

Load Forecasting ◽

Machine Learning Techniques ◽

Support Vector ◽

Strong Impact ◽

Local Character ◽

Nonlinear Character ◽

Electricity Load ◽

Electricity Load Forecasting

Electricity load forecasting has become increasingly important due to the strong impact on the operational efficiency of the power system. However, the accurate load prediction remains a challenging task due to several issues such as the nonlinear character of the time series or the seasonal patterns it exhibits. A large variety of techniques have been proposed to this aim, such as statistical models, fuzzy systems or artificial neural networks. The Support Vector Machines (SVM) have been widely applied to the electricity load forecasting with remarkable results. In this chapter, the authors study the performance of the classical SVM in the problem of electricity load forecasting. Next, an algorithm is developed that takes advantage of the local character of the time series. The method proposed first splits the time series into homogeneous regions using the Self Organizing Maps (SOM) and next trains a Support Vector Machine (SVM) locally in each region. The methods presented have been applied to the prediction of the maximum daily electricity demand. The properties of the time series are analyzed in depth. All the models are compared rigorously through several objective functions. The experimental results show that the local model proposed outperforms several statistical and machine learning forecasting techniques.

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ESD Ideas: Propagation of high-frequency forcing to ice age dynamics

Earth System Dynamics ◽

10.5194/esd-10-257-2019 ◽

2019 ◽

Vol 10 (2) ◽

pp. 257-260 ◽

Cited By ~ 3

Author(s):

Mikhail Y. Verbitsky ◽

Michel Crucifix ◽

Dmitry M. Volobuev

Keyword(s):

Conservation Laws ◽

High Frequency ◽

Ice Sheet ◽

Ice Age ◽

Ice Flow ◽

Age Dynamics ◽

Nonlinear Character ◽

Continuous Background ◽

Ice Sheet Dynamics ◽

Flow Conservation

Abstract. Palaeoclimate records display a continuous background of variability connecting centennial to 100 kyr periods. Hence, the dynamics at the centennial, millennial, and astronomical timescales should not be treated separately. Here, we show that the nonlinear character of ice sheet dynamics, which was derived naturally from the ice-flow conservation laws, provides the scaling constraints to explain the structure of the observed spectrum of variability.

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