Non-linear functions

This paper explores the benefits and functionalities of turbo roundabouts, drawing on existing global research. It then compares them to traditional two-lane roundabouts using traffic simulation software to evaluate their traffic flow capacity.

11p vithomson 02-07-2024 0 0   Download

In this paper, we propose a wavelet type-2 fuzzy brain imitated controller (WT2FBIC) for nonlinear robotic systems. The suggested method combines a wavelet type-2 fuzzy system (WT2FS) and a brain imitated controller (BIC) to improve learning efficiency.

11p viwalton 02-07-2024 2 1   Download

In this study two types of MEE plates, namely BaTiO3 and CoFe2O4 were considered. The basic equations are derived using classical plate theory with nonlocal stress theory and are solved using the Galerkin method and Runge-Kutta method.

13p viambani 18-06-2024 1 1   Download

This paper investigates the nonlinear vibration of saturated porous functionally graded plate subjected to the combination of mechanical and thermal loadings. Three different distributions of porosity are considered. Based on the Biot and higher order shear deformation theories, the vibration characteristics including natural frequency, deflection amplitude – time curves and relation between frequency ratio and amplitude of the saturated porous plate are determined.

13p viambani 18-06-2024 3 1   Download

Ebook "Advanced mathematical methods for scientists and engineers" presents the following content: Algebra, calculus, functions of a complex variable, ordinary differential equations, partial differential equations, calculus of variations, nonlinear differential equations.

2143p zizaybay1103 29-05-2024 5 2   Download

In this paper, a new design of cylindrical panels is proposed with two functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets and a corrugated core. The corrugated core layer is modelled by applying the homogeneous technique according to the firstorder shear deformation theory (FSDT). The nonlinear vibration behaviour of first-order shear deformable cylindrical panels with geometric nonlinearities is analysed in the present paper.

10p dathienlang1012 03-05-2024 2 0   Download

This paper represents the nonlinear bending analysis of a functionally graded porous (FGP) micro-plate resting on an elastic foundation through the modified couple stress theory and the Kirchhoff plate theory (KPT) together with the von-Kármán’s geometrical nonlinearity. The FGP micro-plate with even and uneven distributions of porosities are considered. Analytical solutions for the nonlinear bending is obtained.

11p dathienlang1012 03-05-2024 1 0   Download

In this paper, geometrical nonlinear flutter analysis of functionally graded carbon nanotubes reinforced composite plates is presented. The governing equations of the system are obtained using the Mindlin plate theory and von Karman geometric nonlinearity. The linear piston theory is utilized to determine the aerodynamic pressure. Applying the Hamilton principle, equations of motion of a system are derived in the matrix form, and then the finite element method is used to obtain the discretized equations.

11p dathienlang1012 03-05-2024 5 0   Download

In the paper "Nonlinear static analysis of bidirectional functionally graded sandwich plates using a higher-order finite element formulation" the nonlinear static behaviors of bidirectional functionally graded sandwich (BFGSW) plates are investigated using a finite element procedure. The plates consist of three layers, a homogeneous core and two bidirectional functionally graded face sheets. A nonlinear finite element formulation in sense of the von Karman nonlinear strain-displacement relation is derived in the basis of a higher-order shear deformation theory.

10p dathienlang1012 03-05-2024 4 0   Download

The paper "Dynamic analysis of stiffened functionally graded composite plates reinforced by carbon nanotubes under blast loading" presents a study of the geometrical nonlinear dynamic of stiffened functionally graded composite plates reinforced by carbon nanotubes (SFG-CNTRC) subjected to blast loading. The governing equations of the system are obtained using the Mindlin plate theory and von Karman geometric nonlinearity.

11p dathienlang1012 03-05-2024 1 0   Download

The nonlinear buckling behaviors of the functionally graded graphene platelet reinforced composite (FG-GPLRC) doubly curved shallow shells under external pressure in the thermal environment are introduced and investigated in this paper. The Donnell shell theory and the strain-displacement relationship of von Karman are used. At the bottom surface of FG-GPLRC doubly curve shallow shells, the FG-GPLRC stiffener system in the transverse, longitudinal, or/and oblique directions is installed to increase the bearing capacity of the shallow shells.

10p dathienlang1012 03-05-2024 0 0   Download

A semi-analytical approach of nonlinear dynamic buckling of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) cylindrical shells stiffened by the ring or stringer FG-CNTRC stiffeners by using the Donnell shell theory with the geometrical nonlinearities in von Kármán sense is reported in this paper. The improved smeared stiffener technique is applied for FG-CNTRC stiffeners.

10p dathienlang1012 03-05-2024 4 0   Download

A semi-analytical approach of nonlinear vibration of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) doubly curved shallow shells stiffened by longitudinal or transversal FG-CNTRC stiffeners by using the first-order shear deformation theory (FSDT) with the geometrical nonlinearities in von Kármán sense is reported in this paper. The novel smeared stiffener technique is improved for FG-CNTRC stiffeners according to the FSDT.

10p dathienlang1012 03-05-2024 2 0   Download

The paper "Nonlinear vibration of functionally graded porous micro-beams resting on elastic foundation" presents the analysis of nonlinear vibration of functionally graded porous (FGP) micro-beams resting on an elastic foundation. The Euler-Bernoulli beam theory (EBT) and the nonlocal strain gradient theory (NSGT) are considered to establish the equations of motion of the micro-beam. The material properties of the micro-beam are assumed to be changed continuously along thickness direction according to simple power-law distribution.

9p dathienlang1012 03-05-2024 1 0   Download

Large deflections of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) sandwich beams are studied in this paper by a nonlinear finite element procedure. The core of the beams is homogeneous while the two faces are of CNTRC material. The effective properties of the two CNTRC face sheets are determined by an extended rule of mixture. CNTs are reinforced into matrix phase through uniform distribution (UD) or four different types of functionally graded (FG) distribution, named as FG-X, FG-A, FG-V, FG-O.

10p dathienlang1012 03-05-2024 0 0   Download

The paper "Nonlinear axisymmetric vibration of shear deformable FG-GPLRC shallow spherical caps with porous core" presents the nonlinear axisymmetric vibration analysis of functionally graded graphene platelet reinforced composite (FG-GPLRC) shallow spherical caps with porous core under external pressure. Three distributed laws of porosity and three distributed laws of graphene platelet are considered.

9p dathienlang1012 03-05-2024 4 0   Download

A semi-analytical approach of nonlinear buckling of spiral-corrugated functionally graded graphene-reinforced metal matrix composite (FG-GRMMC) laminated cylindrical shells by using the Donnell shell theory with the geometrical nonlinearities in von Kármán sense is reported in this paper.

10p dathienlang1012 03-05-2024 2 0   Download

An analytical approach of nonlinear buckling and postbuckling analysis of core-corrugated functionally graded carbon nanotubes reinforced composite (FG- CNTRC) cylindrical panels under axial compression is presented in the present study. A homogenization technique is applied for the corrugated core with thermal effects. The nonlinear stability equation system of panels is formulated by using the Donnell thin shell theory with the von Kármán geometrical nonlinearities.

9p dathienlang1012 03-05-2024 2 0   Download

The main aim of this paper is to investigate the nonlinear buckling and postbuckling of eccentrically stiffened sandwich functionally graded porous (FGP) cylindrical shells surrounded by elastic foundations in thermal environments and under torsional load by analytical approach in terms of the displacement components.

13p dianmotminh02 03-05-2024 4 1   Download

In this paper, we consider a boundary value problem for a fully fourth-order nonlinear functional differential equation which contains all lower derivatives of proportional delay arguments. By the reduction of the problem to operator equation for the right-hand side nonlinear function, we establish the existence and uniqueness of the solution and construct iterative methods on both continuous and discrete levels for solving it.

14p dianmotminh02 03-05-2024 3 2   Download