Nonlinear analysis

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 1 1   Download

Part 1 of ebook "Nonlinear analysis of thin-walled structures: Statics, dynamics, and stability" provides readers with contents including: Chapter 1 - Mechanics of solids; Chapter 2 - Thin plates and shells; Chapter 3 - Nonlinear static analysis;...

253p mothoiphong 28-06-2024 1 1   Download

Part 2 of ebook "Nonlinear analysis of thin-walled structures: Statics, dynamics, and stability" provides readers with contents including: Chapter 4 - Vibrations of structures; Chapter 5 - Nonlinear dynamics; Chapter 6 - Stability of structures; Chapter 7 - Dynamic stability;...

272p mothoiphong 28-06-2024 1 1   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

A novel Ge15As15Se17Te53 chalcogenide-based photonic crystal fiber with an octagonal cladding was designed which exhibits low confinement loss and high nonlinearity. The dispersion properties were investigated over a wide wavelength range of up to 11 µm.

11p viambani 18-06-2024 1 1   Download

The aim of this work isto present a semi-analytical approach that combines the third-order shear deformation theory with von Kármán's geometric nonlinearity for fully simply supported composite plates reinforced by aligned CNTs resting on an elastic foundation.

18p viambani 18-06-2024 1 1   Download

This book provides a clear exposition of the underlying concepts with many worked examples and problem sets. It also discusses implementation, including an introduction to Markov chain Monte-Carlo integration and linear and nonlinear model fitting. Particularly extensive coverage of spectral analysis (detecting and measuring periodic signals) includes a self-contained introduction to Fourier and discrete Fourier methods.

489p vimeyers 29-05-2024 2 2   Download

Part 1 of ebook "Finite element analysis and design of steel and steel-concrete composite bridges" provides readers with contents including: Chapter 1 - Introduction; Chapter 2 - Nonlinear material behavior of the bridge components; Chapter 3 - Applied loads and stability of steel and steel-concrete composite bridges;...

227p giangdongdinh 28-05-2024 3 2   Download

Part 1 of ebook "Seismic design aids for nonlinear analysis of reinforced concrete structures" provides readers with contents including: Chapter 1 - Axial force–bending moment yield interaction; Chapter 2 - Moment-curvature relationship for RC sections; Chapter 3 - Moment-rotation relationship for RC beams;...

130p dongmelo 21-05-2024 6 3   Download

Part 2 of ebook "Seismic design aids for nonlinear analysis of reinforced concrete structures" provides readers with contents including: Chapter 4 - Bounds for collapse loads of building frames subjected to seismic loads; Chapter 5 - Flow rule verification for P-M interaction domains; Chapter 6 - Computer coding for collapse multipliers;...

114p dongmelo 21-05-2024 3 1   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 0 0   Download

In the present paper, a 2D nonlinear beam element based on the geometrically exact formulation for large displacement theory of beams developed by Zienkiewicz [7] is formulated on the basis of the first-order shear deformation theory and the total Lagrangian method. The displacements of the element are described through the original (reference) configuration.

9p dathienlang1012 03-05-2024 2 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 0 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

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

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

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 paper "Nonlinear finite element approach for contact problems in hyper-elastic models" considers the contact problems between hyper-elastic bodies by using finite element analysis (FEA). In this study, high-order elements is used with its advantages such as less element usage, more accurate results and geometrical flexibility... The contribution of this paper is development of programs that can calculate and simulate the specific contact problem between hyper-elastic bodies.

10p dathienlang1012 03-05-2024 1 0   Download