# Nonlinearity

Xem 1-20 trên 1635 kết quả Nonlinearity
• ### Using recursive feature elimination in random forest to account for correlated variables in high dimensional data

Random forest (RF) is a machine-learning method that generally works well with high-dimensional problems and allows for nonlinear relationships between predictors; however, the presence of correlated predictors has been shown to impact its ability to identify strong predictors.

• ### Theo dõi quỹ đạo Quadrotor sử dụng Linear và Nonlinear Model Predictive Control

Bài viết "Theo dõi quỹ đạo Quadrotor sử dụng Linear và Nonlinear Model Predictive Control" trình bày chi tiết hai nền tảng điều khiển dựa trên mô hình hiện đại nhất cho bám quỹ đạo: linearmodel-predictive controller (LMPC) và nonlinear-modelpredictive controller (NMPC). Bên cạnh đó, các mô hình động học, động lực học của quadrotor được mô tả đầy đủ. Cuối cùng, hệ mô phỏng được triển khai và kiểm nghiệm tính khả thi, cho thấy sự hiệu quả của hai bộ điều khiển.

• ### Ebook College algebra (3rd edition): Part 2

Ebook College algebra (3rd edition): Part 1 includes the following content: Chapter 4: polynomial and rational functions; chapter 5: exponential and logarithmic functions; chapter 6: systems of linear equations and inequalities; chapter 7: matrices; chapter 8: conics and systems of nonlinear equations and inequalities; chapter 9: sequences, series, and probability. Please refer to the documentation for more details.

• ### On nuclear-coupled thermal-hydraulic instability analysis of Super-CriticalLight-Water-cooled-reactor (SCLWR)

The nonlinear stability analysis of a supercritical light water reactor (SCLWR) is presented using a nuclearcoupled thermal-hydraulic reduced-order model. The analytical model is developed by coupling 1. the pointkinetics equations with one group of delayed neutrons, 2. the fuel heat transfer and 3. a 1-D reduced order model which represents the heat absorption phenomenon during the coolant flow.

• ### An extension of parameter continuation method for solving perturbed systems of nonlinear equations

In this paper, we propose an extension of parameter continuation method for solving perturbed systems of nonlinear equations. The existence and uniqueness of the solution will be investigated. We also discuss error analysis of the method. The validity and applicability of the method is verified by an example.

• ### Dynamic analysis and isolation effectiveness of a low-stiffness nonlinear isolator

This paper presents a low-stiffness nonlinear vibration isolator using a pneumatic spring with an auxiliary chamber which is shortened by LSNVI. Firstly, the mechanical model of the isolator, which is constructed by two opposite stiffness mechanisms includes the load-bearing mechanism (LBM) and the stiffness-corrected mechanism (SCM), is introduced.

• ### A novel approach to optimize the estimated stability region via energy function for a class of nonlinear dynamical systems in technical models

The theory of differential equations has been widely known and developed in recent years. Many researchers have drawn attention to the problem of finding the stability region of a nonlinear dynamical system in technical models, which is a complicated issue in the stability theory of dynamical systems.

• ### Design proposal of the dual band all-optical switch based on 3×3 multimode interference structures

In this paper, a dual band all-optical switch based on 3x3 multimode interference structures is proposed. Two 3×3 multimode interference couplers are cascaded by Mach-Zehnder interformeter mechanism to create an all-optical switch operating at both wavelengths of 1550nm and 1310nm.

• ### One-dimension consolidation analysis of soft soils under embankment loaded with variable compressibility and permeability

Terzaghi’s 1D consolidation theory is commonly used for evaluation of consolidation characteristics of soft soils. Several simplifying assumptions have been made to resolve differential equation for one-dimension consolidation. This paper presents a generalized theory for onedimensional consolidation of soft soil with variable compressibility and permeability.

• ### Dynamic modeling and control in joint space of a single flexible link manipulator using particle swarm optimization algorithm

In this article, the nonlinear dynamic modeling and tip control methodology for a single flexible link manipulator are presented. In Lagrange approach, the nonlinear modeling is built based on finite element method (FEM) so that the elastic displacements effects of elements of the whole dynamic system can be included.

• ### Dynamic behaviors of a single flexible link manipulator under different driving rules

In this article, nonlinear dynamic modeling and investigation into the effects of different driving rules on dynamic behavior of a single flexible link manipulator are presented. Dynamic equations are derived from finite element method based on Lagrange approach.

• ### Geometrically nonlinear static analysis of functionally graded beams subjected to axial centric forces

This paper investigates the geometric nonlinear effect of functionally graded beams subjected to axial static force. The material properties of the beam vary continuously in the thickness direction according to the powerlaw distributions.

• ### Chaos control in Josephson junction using feedback linearization technique

In this paper, the shunted nonlinear resistive-capacitiveinductance junction (RCLSJ) model of Josephson Junction is considered due to potential high-frequency applications. This junction shows the chaotic behaviors under some parameter conditions. Because the chaotic motion is undesirable, the chaos control in Josephson Junction is discussed in this paper.

• ### The dependence of an acoustomagnetoelectic field on the temperature in a cylindrical quantum wire AlGaAs/GaAs

Theoretical results for the AME field is numerically evaluated, plotted and discussed for the specific CQWIP AlGaAs/GaAs. The result shows that the dependence of the AME field on the temperature of the system is nonlinear. These results are compared with those of normal bulk semiconductors and quantum well to show the difference.

• ### On existence results for a nonlinear differential equation involving Caputo-Katugampola fractional derivative with a nonlocal initial condition

This paper is devoted to study a fractional equation involving Caputo-Katugampola derivative with nonlocal initial condition. Unlike previous papers, in this paper, the source function of problem is assumed having a singularity.

• ### Takagi-Sugeno fuzzy approach with compressed representation for overhead crane system

This paper proposes a Takagi-Sugeno (TS) fuzzy approach for 2-dimensional of freedom overhead crane. Since this system is underactuated with nonlinear mathematical dynamic model, the requirement of achieving accurate positioning while eliminating oscillation is a challenging issue.

• ### Investigating the seismic efficiency of buckling-restrained braced frame structures

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.

• ### Assessing the shear behavior of corroded steel fiber reinforced concrete beams without shear reinforcement using nonlinear finite element analysis

In this paper, the finite element models of non-corroded and corroded SFRC beams have been constructed and verified regarding load-displacement curves, crack patterns, and failure modes. Finally, a parametric study also was performed to assess the effect of essential design parameters on the shear strength of SFRC beams under corrosion attacks.

• ### Topology and size optimization for X-bracing system of nonlinear inelastic space steel frames

In this article, a Python-programmed advanced design paradigm is firstly introduced to topology and size optimization of the X-bracing system of nonlinear inelastic space steel frames. For that purpose, an advanced analysis method considering both geometric and material nonlinearities is utilized as an effective finite element analysis (FEA) solver.

• ### Long short-term memory for nonlinear static analysis of functionally graded plates

This study presents an effective method based on long short-term memory to reduce the computational cost in nonlinear static analysis of functionally graded plates. Data points representing a load-deflection curve in a dataset are generated through isogeometric analysis.