Non-linear approximation

Part 2 of ebook "Design-oriented analysis of structures: A unified approach" provides readers with contents including: a unified approach; combined approximations (CA); simplified solution procedures; toplogical and geometrical changes; design sensitivity analysis; nonlinear reanalysis; vibration reanalysis;...

134p mothoiphong 28-06-2024 2 1   Download

Part 1 of ebook "The finite element method for solid and structural mechanics (Seventh edition)" provides readers with contents including: Chapter 1 - General problems in solid mechanics and nonlinearity; Chapter 2 - Galerkin method of approximation, irreducible and mixed forms; Chapter 3 - Solution of nonlinear algebraic equations; Chapter 4 - Inelastic and nonlinear materials; Chapter 5 - Geometrically nonlinear problems, finite deformation; Chapter 6 - Material constitution for finite deformation; Chapter 7 - Material constitution using representative volume elements;...

310p giangmacvien 21-06-2024 0 0   Download

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

In this study, a control system is proposed for the induction servomotor to achieve the highprecision speed tracking based on wavelet fuzzy cerebellar model articulation controller. In this proposed scheme, the wavelet fuzzy cerebellar model articulation controller (WFCMAC) is used to imitate an ideal controller due to it incorporates the advantages of the wavelet decomposition property with a fuzzy CMAC fast learning ability and the smooth compensator controller with bound estimation is designed to attenuate the effect of the approximation error caused by the WFCMAC approximator.

13p vimarillynhewson 02-01-2024 3 3   Download

This research work relies on kernel regression methods for constructing nonlinear regression models. These models can be used to solve function approximation tasks in construction engineering. The newly developed software program was developed with the Visual C# .NET. The program has been tested with the task of estimating the punching shear strength of steel fibre reinforced concrete slab.

7p nhanchienthien 25-07-2023 6 4   Download

The bracing systems have been considered a reliable solution for the seismic-resistant design of buildings, which has been widely applied in recent years. This article aims to investigate the performance of braced frame structures in the seismic-resistant design. Typical buckling restrained braced frames, represented by an approximate bilinear behaviour, are selected to perform nonlinear time-history analyses.

15p vimclaren 20-10-2022 3 2   Download

This paper considers the problem of a low-velocity normal impact of a rigid cone-shaped upon a viscoelastic plate. The contact force is defined by the modified Hertz's contact law. Approximate solutions of the system of nonlinear integro-differential equations for the contact force and local indentation have been obtained.

7p meyerowitz 25-12-2021 8 0   Download

The paper presents a new approach to the speed control of a switched reluctance motors (SRM) is that using a back-stepping controller combining with an artificial neuron network based flux estimator. The nonlinear mathematical model of switched reluctance motor (SRM) is established and the back-stepping control strategy is applied to control SRM. The ANN will be used to estimate the flux of the motor instead of approximated model or experimental values.

12p guitaracoustic02 08-12-2021 28 1   Download

In this paper, we present an effectively numerical approach based on isogeometric analysis (IGA) for geometrically nonlinear analysis of retaining walls. The geometrical nonlinearity is formed in the total Lagrange approach; Whereas, the material is linear elastic. Deformations are large to use finite deformation theory.

4p vivacation2711 23-10-2021 13 1   Download

The time-dependent Ginzburg-Landau (TDGL) equation with thermal noise is used to calculate the complex fluctuation conductivity in high-Tc superconductor in three dimensional (3D) model at zero magnetic field. The nonlinear interaction term in the TDGL is treated within self-consistent Gaussian approximation we go beyond the often used lowest Landau level approximation.

7p vijichoo2711 04-06-2021 11 1   Download

In this paper, we investigate the existence, uniqueness, and continuity of weak solutions with respect to initial values for a nonlinear parabolic equation of reactiondiffusion nonlocal type by an application of the Faedo-Galerkin approximation and AubinLions- Simon compactness results.

11p trinhthamhodang1218 18-03-2021 6 1   Download

In this paper, we study an improvement of the homotopy analysis method to find approximate solutions of nonlinear Fredholm integral equations of the second kind, which are of ulmost importance in applied and engineering.

5p viwisconsin2711 22-01-2021 37 2   Download

Small-signal modeling is a common analysis technique in electronics engineering which is used to approximate the behavior of electronic circuits containing nonlinear devices with linear equations. It is applicable to electronic circuits in which the AC signals, the time-varying currents and voltages in the circuit, have a small magnitude compared to the DC bias currents and voltages.

5p larachdumlanat126 31-12-2020 20 2   Download

In this paper, on the base of the discrepancy principle for regularization parameter choice, the convergence rates of the regularized solution as well as its Galerkin approximations for nonlinear ill-posed problems with m-accretive perturbations are established without demanding the weak continuity of the duality mapping of the Banach spaces.

8p tamynhan5 10-12-2020 8 2   Download

The paper presents a new approach to the conventional averaging in which the role of boundary values is considered in a more detailed way. It results in a new weighted local averaging operator (WLAO) taking into account the particular role of boundary values. A remarkable feature of WLAO is that this operator contains a parameter of boundary regulation p and depends on a local value h of the integration domain. By varying these two parameters one can regulate the obtained approximate solutions in order to get more accurate ones.

14p trinhthamhodang9 10-12-2020 8 0   Download

In this paper we prove the well-posedness of weak solutions to a semilinear heat equation with memory and the nonlinearity f of exponential type by the Galerkin approximation and compactness method. The main novelty of our result is that no restriction on the growth of the nonlinearities is imposed.

10p vigeorgia2711 01-12-2020 20 2   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

This article highlights a robust adaptive tracking control approach for a nonholonomic wheeled mobile robot by which the bad problems of both unknown slippage and uncertainties are dealt with. The radial basis function neural network in this proposed controller assists unknown smooth nonlinear dynamic functions to be approximated. Furthermore, a technical solution is also carried out to avoid actuator saturation. The validity and efficiency of this novel controller, finally, are illustrated via comparative simulation results.

18p nguyenanhtuan_qb 18-06-2020 27 2   Download

Fractional calculus (FC) is widely used in many interdisciplinary branches of science due to its effectiveness in describing and investigating complicated phenomena. In this work, nonlinear dynamics for a new physical model using nonlocal fractional differential operator with singular kernel is introduced. New Routh-Hurwitz stability conditions are derived for the fractional case as the order lies in [0,2). The new and basic Routh-Hurwitz conditions are applied to the commensurate case. The local stability of the incommensurate orders is also discussed.

12p covid19 14-06-2020 28 2   Download

We propose a new monotone finite-difference scheme for the second-order local approximation on a nonuniform grid that approximates the Dirichlet initial boundary value problem (IBVP) for the quasi-linear convection-diffusion equation with unbounded nonlinearity, namely, for the Gamma equation obtained by transformation of the nonlinear Black-Scholes equation into a quasilinear parabolic equation. Using the difference maximum principle, a two-sided estimate and an a priori estimate in the c-norm are obtained for the solution of the difference schemes that approximate this equation.

6p chauchaungayxua2 07-01-2020 29 1   Download