scholarly journals Dynamic Vibration Extinguished on a Viscously Elastic Base

2021 ◽  
Vol 26 (2) ◽  
pp. 1-10
Author(s):  
M. Ishmamatov ◽  
N. Kulmuratov ◽  
S. Khalilov ◽  
N. Akhmedov
Keyword(s):  
Algebraic Equation ◽  
External Action ◽  
Equation Of Motion ◽  
Elastic Base ◽  
Thin Plates ◽  
Amplitude Frequency Response ◽  
Optimal Damping ◽  
Resonance Frequencies ◽  
Gauss Method ◽  
The Relationship

Abstract The aim of the work is to develop algorithms and a set of programs for studying the dynamic characteristics of viscoelastic thin plates on a deformable base on which it is installed with several dynamic dampers. The theory of thin plates is used to obtain the equation of motion for the plate. The relationship between the efforts and the stirred plate obeys in the hereditary Boltzmann Voltaire integral. With this, a system of integro-differential equations is obtained which is solved by the method of complex amplitudes. As a result, a transcendental algebraic equation was obtained to determine the resonance frequencies, which is solved numerically by the Muller method. To determine the displacement of the point of the plate with periodic oscillations of the base of the plate, a linear inhomogeneous algebraic equation was obtained, which is solved by the Gauss method. The amplitude - frequency response of the midpoint of the plate is constructed with and without regard to the viscosity of the deformed element. The dependence of the stiffness of a deformed element on the frequency of external action is obtained to ensure optimal damping of vibrational vibrations of the plate.

scholarly journals The Rabi problem with elliptical polarization

2020 ◽  
Vol 75 (11) ◽  
pp. 937-962
Author(s):  
Heinz-Jürgen Schmidt
Keyword(s):  
Floquet Theory ◽  
Equation Of Motion ◽  
Quantum Spin ◽  
Heun Equation ◽  
Elliptical Polarization ◽  
Third Order ◽  
Polynomial Coefficients ◽  
Resonance Frequencies ◽  
Classical Quantum ◽  
Elliptically Polarized

AbstractWe consider the solution of the equation of motion of a classical/quantum spin subject to a monochromatical, elliptically polarized external field. The classical Rabi problem can be reduced to third-order differential equations with polynomial coefficients and hence solved in terms of power series in close analogy to the confluent Heun equation occurring for linear polarization. Application of Floquet theory yields physically interesting quantities like the quasienergy as a function of the problem’s parameters and expressions for the Bloch–Siegert shift of resonance frequencies. Various limit cases are thoroughly investigated.

scholarly journals Mathematical Model of the Dynamic Action of the Controlled Vibration Exciter on the Processed Medium of Mixer with Toroidal Working Container

2018 ◽  
Vol 7 (3.2) ◽  
pp. 478
Author(s):  
Serhii Zhyhylii ◽  
Maksym Kharchenko ◽  
Julia Katella
Keyword(s):  
Mathematical Model ◽  
Force Field ◽  
Dynamic Balance ◽  
External Action ◽  
Vibration Exciter ◽  
Turn Angle ◽  
Dynamic Action ◽  
Resonance Frequencies ◽  
Balance State ◽  
Intermediate Resonance

Vibration mixers are technological machines that are meant for mixing of different processed medium. A driving force in such machines is realizing by oscillation exciter. In this article, the constructive scheme of the vibration mixer is introduced. Such a mixer has the toroidal working container and is equipped with controlled mechanical centrifugal unbalanced exciters of oscillations with a vertically located unbalanced shaft. The work principle of one of the possible configurations in this exciter is considered and provided. One inflexible and two mobile unbalances are strengthen on its unbalanced shaft. The mobile unbalances by means of independent external action, that is caused by mechanism for managing of mobile unbalances, have an opportunity to change synchronously its positions on the unbalanced shaft directly in time of mixer’s work. The centrifugal inertia forces of inflexible and mobile unbalances make the dynamic wrench that consists of the main vector  and the main moment  and rotates with unbalanced shaft. It is determined that the value of the main vector  and the main moment  evaluate the dynamic action of this vibration exciter to the mixer’s working container. The mathematical model of the dynamic action of oscillator exciter on the processed medium of mixer with the toroidal working container is received. Depending on the value of turn angle of mobile unbalances from its starting positions exciter: a) staying in the dynamic balance state; b) is generating the translation force field; c) generates the wrench force field of this or that direction. These opportunities of controlled vibration exciter firmly provide anfractuous circulative motion of the processed medium on the volume of the mixer’s working container. Using of controlled exciter also leaves out the transfers through intermediate resonance frequencies. As its starting and stopping happen in a dynamic balance state, so it leaves out the possibility of manifestation of the “Sommerfeld’s effect” that is harmful for the driven motor, improves the constructive availability of the vibration mixer and increases its efficiency and life duration. 

Odysseus’s Lies

2020 ◽  
pp. 115-148
Author(s):  
Joel P. Christensen
Keyword(s):  
Narrative Therapy ◽  
External Action ◽  
The Self ◽  
Internal Motivation ◽  
Narrative Agency ◽  
The Future ◽  
The Creation ◽  
The Relationship

This chapter explores the creation of narrative agency by examining Odysseus's lies in the second half of the Odyssey from a perspective informed by correspondence and coherence in memory. The lying tales offer a continuing although coded probing of the relationship between the self, internal motivation, external action, and an evaluation of consequences. Odysseus's storytelling changes from reflective of his own experiences to manipulative of his addressees and, finally, in addresses to the suitors in particular, predictive of future actions. In an important way, this pattern continues the process of Narrative Therapy, as Odysseus continues to re-author his past in order to predict and act in the future. But this process also entails a complex negotiation between the correspondence of narrative details, which may be shared by a community, and the agent's need for coherence. The chapter's reading of the lies echoes what others have said — that they are instruments by which he achieves his psychological homecoming — but also argues that they have other functions as well in helping to distinguish Odysseus's character further and in providing insights for the Homeric understanding of the interdependence between storytelling and the working of human minds.

Extending the Reach of EU Law

2019 ◽  
pp. 64-111 ◽  
Author(s):  
Marise Cremona
Keyword(s):  
Foreign Policy ◽  
External Action ◽  
Three Dimensions ◽  
Eu Law ◽  
Legal Norms ◽  
External Relations ◽  
Wide Range ◽  
External Power ◽  
The Relationship ◽  
The Eu

This chapter explores the ways in which the EU uses its external relations powers and its wide range of external instruments to extend the reach of EU law, and the ways in which law shapes the EU’s external action. It examines three dimensions of the relationship between law and external action: first, the role law plays in the construction of the EU’s international presence as a ‘Union of values’; second, the use of law by the EU as a way of conducting its foreign policy and constructing its relationships; third, the EU as a regulatory actor engaged in shaping, importing and promoting international legal norms. These dynamics illustrate different aspects of the notion of the global reach of EU law and in so doing they raise questions about the ambivalent role that law plays in these processes, challenging our understanding of law as the foundation of the EU’s external power and the instrument through which, and in accordance with which, it expresses that power.

The European External Action Service and the European Parliament

2012 ◽  
Vol 7 (1) ◽  
pp. 65-80 ◽  
Author(s):  
Kolja Raube
Keyword(s):  
External Action ◽  
European Parliament ◽  
External Relations ◽  
The Relationship ◽  
Parliamentary Oversight

Summary Despite considerable academic attention on the European External Action Service (EEAS), only a few studies have touched upon its relationship with the European Parliament. This article looks into the relationship between the EEAS, its High Representative and the European Parliament. It pays particular attention to the question of whether — during the making of the EEAS — the European Parliament was able to expand its parliamentary oversight in external relations along the lines of legislative, supervisory and budgetary powers.

Radiation conditions for a semi-infinite elastic strip

2005 ◽  
Vol 461 (2056) ◽  
pp. 1163-1179 ◽  
Author(s):  
E Babenkova ◽  
J Kaplunov
Keyword(s):  
High Frequency ◽  
Thin Plates ◽  
Elastic Strip ◽  
Resonance Frequencies ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Plates And Shells ◽  
High Frequency Vibrations ◽  
Thin Plates And Shells ◽  
Radiation Conditions

High-frequency vibrations of a semi-infinite elastic strip with traction-free faces are considered. The conditions on end data that are derived do not allow non-radiating in Sommerfeld's sense of polynomial modes at thickness resonance frequencies. These represent a high-frequency analogue of the well-known decay conditions in statics that agree with the classical Saint-Venant principle. The proposed radiation conditions are applied to the construction of boundary conditions in the theories of high-frequency long-wave vibrations describing slow-varying motions in the vicinity of thickness resonance frequencies. The derivation is based on the Laplace transform technique along with the asymptotic methodology that is typical for thin plates and shells.

Vibration Analysis of Drug Delivery CNTs Using Transfer Matrix Method

2011 ◽  
Author(s):  
Anooshiravan Farshidianfar ◽  
Ali A. Ghassabi ◽  
Mohammad H. Farshidianfar ◽  
Mohammad Hoseinzadeh
Keyword(s):  
Boundary Conditions ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Equation Of Motion ◽  
Beam Model ◽  
Multi Wall Carbon Nanotubes ◽  
Resonance Frequencies ◽  
Euler Bernoulli Beam ◽  
Bernoulli Beam Model

The free vibration and instability of fluid-conveying multi-wall carbon nanotubes (MWCNTs) are studied based on an Euler-Bernoulli beam model. A theory based on the transfer matrix method (TMM) is presented. The validity of the theory was confirmed for MWCNTs with different boundary conditions. The effects of the fluid flow velocity were studied on MWCNTs with simply-supported and clamped boundary conditions. Furthermore, the effects of the CNTs’ thickness, radius and length were investigated on resonance frequencies. The CNT was found to posses certain frequency behaviors at different geometries. The effect of the damping corriolis term was studied in the equation of motion. Finally, a useful simplification is introduced in the equation of motion.

Hydroelastic Vibrations of Flat Plates Related to Trailing Edge Geometry

1961 ◽  
Vol 83 (4) ◽  
pp. 671-678 ◽  
Author(s):  
G. H. Toebes ◽  
P. S. Eagleson
Keyword(s):  
Leading Edge ◽  
Equation Of Motion ◽  
Thin Plates ◽  
Comprehensive Treatment ◽  
Angle Of Incidence ◽  
Flat Plates ◽  
Trailing Edge ◽  
Edge Geometry ◽  
Vortex Induced Vibrations ◽  
Hydroelastic Vibrations

Vortex-induced vibrations of thin flat plates are studied as a function of trailing edge geometry. In an effort to extend the analysis to a more comprehensive treatment than that provided by the common vortex model, the vibrations are considered as hydroelastic phenomena. An equation of motion is formulated. From a qualitative analysis of this nonlinear equation some expected features of its solution are set forth. A detailed experimental determination is made of the amplitude spectra of various thin plates mounted at zero mean angle of incidence in the test section of a water tunnel and suspended by a torsion spring through their leading edge. The effects of trailing edge geometry and elastic properties of plate support are explored. Data analysis gives interesting confirmation of the formulated equation of motion. The vibration is shown to become self-excited and the degree of two dimensionality of the wake is deduced to be determinative in regard to the severity of the vibration.

Research of the Relationship Between the Clearance and Wear of Precise Micro Punch and Die

2005 ◽  
Author(s):  
Jui-Chang Lin ◽  
Kingsun Lee ◽  
Ming-Fang Lu ◽  
Chainming Yen
Keyword(s):  
Integrated Circuit ◽  
Vision System ◽  
Thin Plates ◽  
Passive Components ◽  
Burr Size ◽  
Metal Sheets ◽  
Processing Modes ◽  
Metal Processing ◽  
Parts Manufacturing ◽  
The Relationship

The punch and die operation is widely used for forming and processing of both metal and non-metal sheets due to its ease-of-operation. Moreover, this method is characterized by a higher degree of cost-effectiveness and accuracy as compared to other processing modes, such as casting, forging and metal processing. The typical field of application covers parts manufacturing for timekeepers, vehicles, sheet metals or motors and various thin plates. With the development of IC (Integrated circuit) processing technology, passive components are being increasingly miniaturized, ranging from 0603 (0.06″ × 0.03″) chips to existing 0402 (0.04″ × 0.02″) and 0201 chips. Because of increasing miniaturization of passive components, the smaller aperture of composite paper bags for various IC will be required. The IC chips need to be packaged for sale. The packaging bag has many small apertures to store the chips. Micro punches and dies are use to punch this aperture. The accuracy of aperture for packaging bags, however, depends on the clearance between the punch and die. This study utilizes an Image Vision System to measure the clearance of micro dies and the burr size of processed composite materials in order to estimate which condition is better for micro dies. The relational expression was established between input parameters and outputs via a Neural Network. This can help to anticipate the burr size under any clearance, and contributes to the design and application of smaller punches in the future.

The drastic change of the EU relationship with ACP countries in the context of international economic relations

2014 ◽  
Vol 13 (1) ◽  
pp. 67-79 ◽  
Author(s):  
Ana Manero Salvador
Keyword(s):  
International Economic ◽  
Design Methodology ◽  
External Action ◽  
The European Union ◽  
Content Type ◽  
Economic Relations ◽  
Documentary Sources ◽  
International Economic Relations ◽  
The Relationship ◽  
The Eu

Purpose – The aim of this paper is to analyze the adjustment of relations between the EU and ACP countries to multilateral requirements. Design/methodology/approach – Has been carried out an analysis of the previous situation, the reasons and the result of the adjustment. To do this, they have been pursued literary and documentary sources. Findings – The European Union's relations with the ACP countries have changed drastically. Now there is no unity of action of ACP, and the relations with the EU relations are atomized. Originality/value – The submitted article summarizes and critically analyzes the evolution of the European Union's relations with ACP countries. The relationship with the ACP has been historically and currently lost its specificity, so it is diluted in the context of the external action of the European Union.

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