discrete approach
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2022 ◽  
pp. 108128652110679
Author(s):  
Emilio Turco

In this contribution, a novel nonlinear micropolar beam model suitable for metamaterials design in a dynamics framework is presented and discussed. The beam model is formulated following a completely discrete approach and it is fully defined by its Lagrangian, i.e., by the kinetic energy and by the potential of conservative forces. Differently from Hencky’s seminal work, which considers only flexibility to compute the buckling load for rectilinear and planar Euler–Bernoulli beams, the proposed model is fully three-dimensional and considers both the extensional and shear deformability contributions to the strain energy and translational and rotational kinetic energy terms. After having introduced the model formulation, some simulations obtained with a numerical integration scheme are presented to show the capabilities of the proposed beam model.


Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3129
Author(s):  
Ameni Ellouze ◽  
Omar Kahouli ◽  
Mohamed Ksantini ◽  
Ali Rebhi ◽  
Nidhal Hnaien ◽  
...  

Generally, the continuous and discrete TS fuzzy systems’ control is studied independently. Unlike the discrete systems, stability results for the continuous systems suffer from conservatism because it is still quite difficult to apply non-quadratic Lyapunov functions, something which is much easier for the discrete systems. In this paper and in order to obtain new results for the continuous case, we proposed to connect the continuous with the discrete cases and then check the stability of the continuous TS fuzzy systems by means of the discrete design approach. To this end, a novel frame was proposed using the sum of square approach (SOS) to check the stability of the continuous Takagi Sugeno (TS) fuzzy models based on the discrete controller. Indeed, the control of the continuous TS fuzzy models is ensured by the discrete gains obtained from the Euler discrete form and based on the non-quadratic Lyapunov function. The simulation examples applied for various models, by modifying the order of the Euler discrete fuzzy system, are presented to show the effectiveness of the proposed methodology.


2021 ◽  
pp. 115093
Author(s):  
Wei Guan ◽  
Ying Dai ◽  
Wenxiao Li ◽  
Yang Qu ◽  
Pengfei He

2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Nicolas Christen ◽  
Michael Barnes ◽  
Felix I. Parra

A new algorithm for toroidal flow shear in a linearly implicit, local $\delta f$ gyrokinetic code is described. Unlike the current approach followed by a number of codes, it treats flow shear continuously in time. In the linear gyrokinetic equation, time-dependences arising from the presence of flow shear are decomposed in such a way that they can be treated explicitly in time with no stringent constraint on the time step. Flow shear related time dependences in the nonlinear term are taken into account exactly, and time dependences in the quasineutrality equation are interpolated. Test cases validating the continuous-in-time implementation in the code GS2 are presented. Lastly, nonlinear gyrokinetic simulations of a JET discharge illustrate the differences observed in turbulent transport compared with the usual, discrete-in-time approach. The continuous-in-time approach is shown, in some cases, to produce fluxes that converge to a different value than with the discrete approach. The new approach can also lead to substantial computational savings by requiring radially narrower boxes. At fixed box size, the continuous implementation is only modestly slower than the previous, discrete approach.


Author(s):  
О.В. Войтко ◽  
В.Г. Солонніков ◽  
О.В. Полякова ◽  
А.М. Ткачов

In the article, based on the application of a continuous-discrete approach to the description of periodic modes that are possible in automatic systems with a control computer, equations are obtained that take into account the peculiarities of the dynamics of their flow in nonlinear systems of the noted class and provide an increase in the accuracy of calculating their parameters. This is achieved by taking into account the specifics of the structural diagram of the system under study by replacing the NOT system with harmonic linearization coefficients, which have correspondingly different formula expressions. The use of the proposed equations will make it possible to use the investigated modes more efficiently during the functioning of the system, or vice versa, it is guaranteed to get rid of them.


2021 ◽  
Vol 9 (1) ◽  
pp. 997-1006
Author(s):  
Himanshu Kumar Diwedi, Rahul Bhatt, K.Manoj Kumar, Vivek Kumar

For the improvement of performance of trans radial amputees, there will be identification of hand gestures using electromyogram. Whatever the data retrieved from the electrode will be used for controlling the prosthetic hands. In this paper, we are proposing the systematic hand gestures to improve the performance of the trans radial amputation people using the 2-channels amplifier. Different hand gestures like hands up, hands open, hands down, hands close are represented by the different variants and all these gestures will be preprocessed by the discrete approach. Extraction of the features will be done using the combination of ML Strategies. For identifying the pattern, LVQ mechanism is used. By this 2-Channel amplifier the identification of outcome can be evaluated effectively.


Author(s):  
Jonathan Christian Seidel ◽  
Mathias Göbel ◽  
Rui Claudio Dos Reis Rodrigues ◽  
Nora Maria Kaup ◽  
Johanna Rapp ◽  
...  

Prominent ◽  
2021 ◽  
Vol 4 (1) ◽  
pp. 19-29
Author(s):  
Banun Havifah cahyo Khosiyono

This paper describes discrete and integrated approach and the implication on language teaching learning management. Discrete approach emphasizes on the teaching and learning a language discretely, whereas integrated approach emphasizes on the whole language, namely speaking, writing, listening, reading, pronunciation, grammar, and vocabulary. In fact, both are interrelated since discrete learning is the basis for integrated learning. Both should be implemented in the teaching learning process in the classroom so that students are able to use the language well. Therefore, the curriculum or the syllabus, teaching materials, teachers’ qualification, and classroom management should be prepared well.


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