Exact linearization

Part 2 of ebook "The finite element method for solid and structural mechanics (Seventh edition)" provides readers with contents including: Chapter 10 - Background mathematics and linear shell theory; Chapter 11 - Differential geometry and calculus on manifolds; Chapter 12 - Geometrically nonlinear problems in continuum mechanics; Chapter 13 - A nonlinear geometrically exact rod model; Chapter 14 - A nonlinear geometrically exact shell model; Chapter 15 - Computer procedures for finite element analysis; Appendix A - Isoparametric finite element approximations; Appendix B - Invariants of seco...

322p giangmacvien 21-06-2024 0 0   Download

The purpose of the field-oriented control (FOC) is therefore to create a tool that allows the decoupling control of the flux and torque-producing current components from the three-phase AC currents flowing in the coil. The FOC drive system is a system based on the principle of decoupling the above power components thanks to the stator current feedback control (the innermost circuit of the drive system). The FOC-type control method belongs to the class of vector control methods for electrical machines.

22p dianmotminh02 03-05-2024 2 1   Download

This paper presents a method for establishing the exact receptance function of a tapered axially functionally graded (AFG) beam with nonlinear ratios of properties using the Adomian method. In current papers, the Adomian method was applied for linearly tapered beams where the geometric series was used conveniently.

22p dianmotminh02 03-05-2024 3 2   Download

This paper is concerned with two salient allocation problems in fair division of indivisible goods, aiming at maximizing egalitarian and Nash product social welfare. These problems are computationally NP-hard, meaning that achieving polynomial time algorithms is impossible, unless P = NP.

11p visystrom 22-11-2023 9 4   Download

This paper focuses on an exact algorithm for solving NP-hard combinatorial optimization problems which frequently requires significant specialized knowledge and trial and error, especially, Mixed Integer Linear Programs (MILP). This challenging, tedious process can be automated by learning the algorithms instead.

6p visystrom 22-11-2023 4 4   Download

In the course of current research the procedure of obtaining of the piecewise linear vibration systems time and frequency responses have been developed. The method is partly analytical and partly numerical and is based on combining of linear solutions of different sections in a cycle of motion. In a row with the method of obtaining of the exact steady state time and frequency response, also it is provided sensitivity analysis of the vibration isolator.

86p runthenight07 01-03-2023 4 2   Download

This paper presents a new control strategy for grid-connected Z-source inverter which is a part of the residential photovoltaics (PV) system. The control system consists of a DC control loop, which is designed based on the exact linearization method to guarantee that the DC input voltage of the ZSI quickly tracks the reference value which is given by the maximum power point tracking (MPPT) algorithm.

8p spiritedaway36 28-11-2021 8 1   Download

Graph-based reference genomes have become popular as they allow read mapping and follow-up analyses in settings where the exact haplotypes underlying a high-throughput sequencing experiment are not precisely known. Two recent papers show that mapping to graph-based reference genomes can improve accuracy as compared to methods using linear references.

9p vijeeni2711 24-07-2021 13 0   Download

The nonlinear free vibration of embedded nanotubes under longitudinal magnetic field is studied in this paper. The governing equation for the nanotube is formulated by employing Euler–Bernoulli beam model and the nonlocal strain gradient theory. The analytical expression of the nonlinear frequency of the nanotube is obtained by using Galerkin method and the equivalent linearization method with the weighted averaging value. The accuracy of the obtained solution has been verified by comparison with the published solutions and the exact solution.

23p nguaconbaynhay11 07-04-2021 19 2   Download

Propose the global – local mean square error criterion (GLOMSEC) for Gaussian equivalent linearization method (GEL) for randomly excited MDOF nonlinear system subjected to white noise or color noise excitation. The mean square of response solution will be concentrated to evaluate the accuracy of the proposed criterion by comparison with exact solution or other accepted solutions.

28p capheviahe26 25-01-2021 9 3   Download

The paper shows that the response of the random Rayleigh system, which is under harmonic and random excitations, can be found by a system of algebraic equations. The analytical approach is based on the stochastic averaging method and equivalent linearization method in Cartesian coordinates so that the Fokker-Planck equation associated with the linear equations obtained can be solved exactly by the technique of auxiliary function. The harmonic excitation frequency is taken to be in the neighborhood of the system natural frequency.

11p trinhthamhodang9 10-12-2020 21 1   Download

In this article, the considered problem of Cauchy reaction diffusion equation of fractional order is solved by using integral transform of Laplace coupled with decomposition technique due to Adomian scheme. This combination led us to a hybrid method which has been properly used to handle nonlinear and linear problems. The considered problem is used in modeling spatial effects in engineering, biology and ecology. The fractional derivative is considered in Caputo sense. The results are obtained in series form corresponding to the proposed problem of fractional order.

8p dayhoctainha 10-09-2020 18 0   Download

Squeezing properties of the Hillery-type N-powered amplitude are investigated in the linear and nonlinear fan-state. For a given k, squeezing may appear to the even power N = 2k and the number of directions along which the Nth-powered amplitude is squeezed is exactly equal to N, in both linear (the light field) and nonlinear (the vibrational motion of the trapped ion) fan-states.

7p 12120609 01-06-2020 11 0   Download

The obtained solutions using differential evolution (DE) algorithm (upper bound), where its parameters are tuned by response surface methodology, are compared with exact solutions and computed lower bounds by linear relaxation technique to prove the efficiency of proposed DE algorithm.

12p toritori 11-05-2020 9 0   Download

In this paper, we study a Cauchy problem for the heat equation with linear source in the. This problem is ill-posed in the sense of Hadamard. To regularize the problem, the truncation method is proposed to solve the problem in the presence of noisy Cauchy data   and   satisfying We give some error estimates between the regularized solution and the exact solution under some different a-priori conditions of exact solution.

9p gildur 30-11-2019 11 1   Download

In this paper, we studied the progression of shallow water waves relevant to the variable coefficient Korteweg–de Vries (vcKdV) equation. We investigated two kinds of cases: when the dispersion and nonlinearity coefficients are proportional, and when they are not linearly dependent. In the first case, it was shown that the progressive waves have some geometric structures as in the case of KdV equation with constant coefficients but the waves travel with time dependent speed. In the second case, the wave structure is maintained when the nonlinearity balances the dispersion.

7p trinhthamhodang1 16-11-2019 21 0   Download

This paper presents a simple method for modeling stator current and estimating rotor flux of an induction motor. A new current controller named “direct-decoupling”, based on exact linearization algorithm of the motor current model has been proposed.

7p vidoraemon2711 04-06-2019 12 0   Download

In this paper, we present a method to apply the exact linearization technique to the q-UAV without augmenting its dynamic model. For this purpose, using the vertical dynamic equation, the vertical position control input is designed separately so that the vertical acceleration is piecewise constant.

7p praishy2 27-02-2019 18 1   Download

In this article the homological theory is specially worked out, adapted for definition of the degree of mapping from one of the classes of infinite-dimensional mappings, exactly FQL-mappings, introduced.

10p danhdanh27 07-01-2019 18 1   Download

Continuing our study in [3], in the present paper we examine the system without damping h = 0. In this particular case, the original equations and the associated ones are very simple and can easily be solved. The "exact" original resonance curve C0 and the "exact" associated one C will be given. Thus, we a:re able to compare two resonance curves and to "estimate" the indirect method proposed.

9p chikychiky 01-11-2018 44 1   Download