A memcapacitor-based hyperchaotic conservative system

The post-2007 financial crisis has brought renewed interest in a European Unemployment Benefit Scheme (EUBS) as a manifestation of solidarity between citizens of different Member States and an economic stabiliser in the event of future asymmetric shocks. The EU-wide benefit would operate in tandem with existing national unemployment benefits. This creates challenges of compatibility given the diversity of approaches to social security within the Union, based on at least four philosophies of welfare: liberal, conservative, social democratic and southern European. This article examines potential legal, operational and political difficulties associated with marrying a EUBS that is at heart a conservative system of social insurance to the UK’s liberal welfare state. Few legal obstacles exist and although the addition of a new, earnings-related benefit to an already complex mix of social protection would raise significant operational issues, these need not be insurmountable. However, fundamental ideological differences would have rendered the EUBS as proposed politically ill-matched with the UK even absent the June 2016 vote to leave the EU. A contributory income maintenance benefit is a poor fit with a residual, largely means-tested national system whose role is limited to offering protection against severe poverty while maintaining work incentives and minimising costs.

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Time-Varying Impedance Control of Port Hamiltonian System with a New Energy-Storing Tank

Complexity ◽

10.1155/2018/8134230 ◽

2018 ◽

Vol 2018 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

Min Zheng ◽

Tangqing Yuan ◽

Tao Huang

Keyword(s):

Control Method ◽

Impedance Control ◽

Conservative System ◽

Time Varying ◽

Control Performance ◽

Singularity Problem ◽

Numerical Examples ◽

New Energy ◽

Simulation Results ◽

New Framework

In order to guarantee the passivity of a kind of conservative system, the port Hamiltonian framework combined with a new energy tank is proposed in this paper. A time-varying impedance controller is designed based on this new framework. The time-varying impedance control method is an extension of conventional impedance control and overcomes the singularity problem that existed in the traditional form of energy tank. The validity of the controller designed in this paper is shown by numerical examples. The simulation results show that the proposed controller can not only eliminate the singularity problem but can also improve the control performance.

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Multi Body Dynamic Equations of Belt Conveyor and the Reasonable Starting Mode

Symmetry ◽

10.3390/sym12091489 ◽

2020 ◽

Vol 12 (9) ◽

pp. 1489

Author(s):

Yongbo Guo ◽

Fansheng Wang

Keyword(s):

Finite Element ◽

Recursive Formula ◽

Conservative System ◽

Conveyor Belt ◽

Dynamic Equations ◽

Lagrange’S Equation ◽

Rigid Finite Element Method ◽

Potential Capacity ◽

Multi Body ◽

Body Dynamic

Based on the rigid finite element method and multibody dynamics, a discrete model of a flexible conveyor belt considering the material viscoelasticity is established. RFE (rigid finite element) and SDE (spring damping element) are used to describe the rigidity and flexibility of a conveyor belt. The dynamic differential equations of the RFE are derived by using Lagrange’s equation of the second kind of the non-conservative system. The generalized elastic potential capacity and generalized dissipation force of the SDE are considered. The forward recursive formula is used to construct the conveyor belt model. The validity of dynamic equations of conveyor belt is verified by field test. The starting mode of the conveyor is simulated by the model.

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Dynamic Absorption by Passive and Active Control1

Journal of Vibration and Acoustics ◽

10.1115/1.1311792 ◽

2000 ◽

Vol 122 (4) ◽

pp. 429-433 ◽

Cited By ~ 11

Author(s):

Kumar Vikram Singh ◽

Yitshak M. Ram

Keyword(s):

Steady State ◽

Active Control ◽

Conservative System ◽

Degree Of Freedom ◽

Loss Of Stability ◽

Steady State Motion ◽

Damped System ◽

Single Sensor ◽

Dynamic Absorber

The motion of a particular degree-of-freedom in a harmonically excited conservative system can be vanished by attaching an appropriate dynamic absorber to it. It is shown here that under certain conditions, which are characterized in the paper, the steady state motion of a damped system may be completely absorbed, without loss of stability, by active control implementing a single sensor and an actuator. The results are established theoretically and they are demonstrated by means of analytical examples. [S0739-3717(00)02104-8]

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Numerical Approximation of a Compressible Multiphase System

Communications in Computational Physics ◽

10.4208/cicp.110313.230913a ◽

2014 ◽

Vol 15 (5) ◽

pp. 1237-1265 ◽

Cited By ~ 9

Author(s):

Remi Abgrall ◽

Harish Kumar

Keyword(s):

Dual Problem ◽

Conservative System ◽

Model Description ◽

Multiphase System ◽

Discontinuous Solutions ◽

Glimm Scheme ◽

Conservation Principles ◽

Difficult Challenge ◽

Limit Solutions ◽

Mesh Convergence

AbstractThe numerical simulation of non conservative system is a difficult challenge for two reasons at least. The first one is that it is not possible to derive jump relations directly from conservation principles, so that in general, if the model description is non ambiguous for smooth solutions, this is no longer the case for discontinuous solutions. From the numerical view point, this leads to the following situation: if a scheme is stable, its limit for mesh convergence will depend on its dissipative structure. This is well known since at least [1]. In this paper we are interested in the “dual” problem: given a system in non conservative form and consistent jump relations, how can we construct a numerical scheme that will, for mesh convergence, provide limit solutions that are the exact solution of the problem. In order to investigate this problem, we consider a multiphase flow model for which jump relations are known. Our scheme is an hybridation of Glimm scheme and Roe scheme.

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The Natural Frequencies of Free and Constrained Non-Uniform Beams

Journal of the Royal Aeronautical Society ◽

10.1017/s0368393100073703 ◽

1960 ◽

Vol 64 (599) ◽

pp. 697-699 ◽

Cited By ~ 2

Author(s):

R. P. N. Jones ◽

S. Mahalingam

Keyword(s):

Degrees Of Freedom ◽

Natural Frequencies ◽

Ritz Method ◽

Normal Modes ◽

Iteration Process ◽

Conservative System ◽

Basic System ◽

Orthogonal Functions ◽

Added Masses ◽

The Given

The Rayleigh-Ritz method is well known as an approximate method of determining the natural frequencies of a conservative system, using a constrained deflection form. On the other hand, if a general deflection form (i.e. an unconstrained form) is used, the method provides a theoretically exact solution. An unconstrained form may be obtained by expressing the deflection as an expansion in terms of a suitable set of orthogonal functions, and in selecting such a set, it is convenient to use the known normal modes of a suitably chosen “ basic system.” The given system, whose vibration properties are to be determined, can then be regarded as a “ modified system,” which is derived from the basic system by a variation of mass and elasticity. A similar procedure has been applied to systems with a finite number of degrees of freedom. In the present note the method is applied to simple non-uniform beams, and to beams with added masses and constraints. A concise general solution is obtained, and an iteration process of obtaining a numerical solution is described.

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Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems

Strojnícky casopis – Journal of Mechanical Engineering ◽

10.2478/scjme-2018-0021 ◽

2018 ◽

Vol 68 (2) ◽

pp. 105-124 ◽

Cited By ~ 1

Author(s):

Milan Žmindák

Keyword(s):

Sensitivity Analysis ◽

Modal Analysis ◽

Dynamic Systems ◽

Mechanical Systems ◽

Conservative System ◽

Eigenvalues And Eigenvectors ◽

Linear Dynamic Systems ◽

Discretization Methods ◽

Linear Dynamic ◽

Derivatives Of

AbstractIn this paper the concept of generalized form of proportional damping is proposed. Classical modal analysis of non-conservative continua is extended to multi DOF linear dynamic systems with asymmetric matrices. Mode orthogonality relationships have been generalized to non-conservative systems. Several discretization methods of continua are presented. Finally, an expression for derivatives of eigenvalues and eigenvectors of non-conservative system is presented. Examples are provided to illustrate the proposed methods.

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CONSTRUCTION OF MINIMAX CONTROL FOR ALMOST CONSERVATIVE CONTROLLED DYNAMIC SYSTEMS WITH THE LIMITED PERTURBATIONS

EUREKA Physics and Engineering ◽

10.21303/2461-4262.2017.00301 ◽

2017 ◽

Vol 2 ◽

pp. 9-15

Author(s):

Iryna Svyatovets

Keyword(s):

Riccati Equation ◽

Infinite System ◽

Conservative System ◽

Coefficient Matrix ◽

Necessary Condition ◽

Existence Of A Solution ◽

Minimax Control ◽

System Of Matrix Equations ◽

System A ◽

The Matrix

The problem is considered for constructing a minimax control for a linear stationary controlled dynamical almost conservative system (a conservative system with a weakly perturbed coefficient matrix) on which an unknown perturbation with bounded energy acts. To find the solution of the Riccati equation, an approach is proposed according to which the matrix-solution is represented as a series expansion in a small parameter and the unknown components of this matrix are determined from an infinite system of matrix equations. A necessary condition for the existence of a solution of the Riccati equation is formulated, as well as theorems on additive operations on definite parametric matrices. A condition is derived for estimating the parameter appearing in the Riccati equation. An example of a solution of the minimax control problem for a gyroscopic system is given. The system of differential equations, which describes the motion of a rotor rotating at a constant angular velocity, is chosen as the basis.

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Basic Constraints for Design Optimization of Cubic and Bistable NES

Journal of Vibration and Acoustics ◽

10.1115/1.4051548 ◽

2021 ◽

pp. 1-51

Author(s):

Zhenhang Wu ◽

Sebastien Seguy ◽

Manuel Paredes

Keyword(s):

Multiple Scales ◽

Energy Levels ◽

Conservative System ◽

Harmonic Excitation ◽

Absorption Efficiency ◽

Complex Variables ◽

Maximum Efficiency ◽

Nonlinear Stiffness ◽

Optimal Efficiency ◽

Different Response

Abstract This work mainly concentrates on the optimization of cubic and bistable NES to find the maximum efficiency point under harmonic excitation. The conservative system is considered to reveal the inner property of the damping system. With the application of the multiple scales method and the complex variables method, the threshold of excitation and different response regimes are distinguished under the assumption of 1:1 resonance. The maximum efficiency point of cubic and bistable NES occurs when SMR disappears. The factors that affect the optimal efficiency limit are explored. The result indicates that the maximum absorption efficiency level is mainly determined by the damping parameters. Compared with the cubic case, the bistable case involves more complex regimes in terms of chaos oscillation. The influence of damping parameters on the chaos threshold is discussed to adopt different energy levels. With the help of analytical predictions, the proper nonlinear stiffness is determined for certain harmonic excitation. This work offers some fundamental insights into the optimal design of cubic and bistable NES.

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Induction Suspension of Conductive Microring and Its Gyroscopic Stabilization

10.21203/rs.3.rs-171012/v1 ◽

2021 ◽

Author(s):

Dmitrii Skubov ◽

Ivan Popov ◽

Pavel Udalov

Keyword(s):

Magnetic Field ◽

Steady State ◽

Eddy Current ◽

Equilibrium Position ◽

Critical Case ◽

Conservative System ◽

Critical Value ◽

Main Task ◽

Gyroscopic Stabilization

Abstract The main task of our work is determination of possible levitation of micro-ring with eddy current in magnetic field of down ring with set alternating current and determination of critical value of «ohmic» damping separated field of parameters, at which motions of suspension ring transit from divergent to meeting to steady-state equilibrium position. I. e. in this critical case the motion practically coincides with motions of conservative system. The possibility of gyroscopic stabilization of suspension ring taking into account initial set rotation is considered. Thereby it can serve as contactless micro-gyroscope.

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