Nonlinear formulation

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 3 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

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

In this study, we explore reseach methodologi, industry and the aspect of uncertainty. We make an analysis uncertainty for the topic, approach, model formulation and make comparison of uncertainty reseach area. The most used approach and method on uncertainty are Mixed Integer Linear Programing, mixed integer nonlinear Programing, Robust Fuzzy Stochastic Programming, and Improved kriging-assisted robust optimization method. Customer demand, total cost, product returns are the most widely researched aspects.

11p longtimenosee07 29-03-2024 2 2   Download

Part 1 book "Applied parameter estimation for chemical engineers" includes content: Formulation of the parameter estimation problem, computation of parameters in linear models linear regression, Gauss Newton method for algebraic models, other nonlinear regression methods for algebraic models, gauss newton method for ordinary differential equation (ODE) models, shortcut estimation methods for ODE models, practical guidelinesf or algorithm implementation, constrained parameter estimation.

191p muasambanhan08 01-03-2024 0 0   Download

Free vibration of a silicon microbeam in micro-electromechanical systems (MEMS) subjected to electrostatic and axial forces is studied in the framework of a sinusoidal shear deformation theory. A nonlinear finite element formulation based on the von Kármán nonlinear assumption and the modified couple stress theory (MCST) is formulated and employed to establish the discrete nonlinear governing equations for the microbeam.

13p viannee 02-08-2023 7 3   Download

In this paper, vibration of Timoshenko microbeams with an axial force in microelectromechanical systems (MEMS) is studied for the first time by using a nonlinear finite element procedure. Based on the von Karm´ an geometric nonlinearity and the modified couple stress theory (MCST), a beam element is formulated by employing hierarchical functions to interpolate the displacement field.

17p viwolverine 11-07-2023 7 2   Download

In this work, geometrically nonlinear behavior of sandwich composite beams reinforced by carbon nanotubes is studied, taking into account the influence of agglomeration of the carbon nanotubes (CNTs). The core of the sandwich beams is homogeneous while the two face sheets are made of CNT reinforced composite with the effective material properties being estimated by the Eshelby-Mori-Tanaka approach.

16p viwolverine 11-07-2023 5 2   Download

The paper introduces a new carrier PWM technique to control the cascade inverter output. Improving electrical power quality by reducing harmonic content caused by nonlinear load will be considered. In this paper, there will be mathematically formulated and simulated for 5-level cascade inverter and applied in filtering harmonics in three-phase four-wire unbalanced load system.

8p vicaptainmarvel 21-04-2023 8 4   Download

Geometrically nonlinear free vibration of microbeams partially supported by a threeparameter nonlinear elastic foundation is studied in this paper. Equations of motion based on the modified couple stress theory (MCST) and a refined third-order shear deformation beam theory are derived using Hamilton’s principle, and they are solved by a finite element formulation.

16p vidudley 20-02-2023 2 2   Download

Lecture Methods of Electric power systems analysis - Lesson 15: Least squares, state estimation provide students with knowledge about revisit the uncommitted transfer capability (UTC) calculation using PTDFs and LODFs; recall trying to determine maximum transfer between two areas (or buses in our example); for base case maximums are quickly determined with PTDFs;...

52p hanthienngao 15-04-2022 10 1   Download

Lecture Methods of Electric power systems analysis - Lesson 22: LP, OPF, electricity markets provide students with knowledge about the OPF is usually formulated as a minimization with equality and inequality constraints; LP OPF solution method; LP standard form; marginal costs of constraint enforcement in LP; the marginal costs will be used to determine the OPF locational marginal costs (LMPs);...

45p hanthienngao 15-04-2022 18 1   Download

Large deflections of FG-CNTRC sandwich beams partially supported by a two-parameter elastic foundation are studied in this paper by a nonlinear finite element procedure. The core of the beams is homogeneous while the top and bottom are of CNTRC material.

6p bobietbay 22-12-2021 8 0   Download

This work proposes the dynamics of a 3-D overhead-type crane operated in offshore condition that considers the effects of sea wave excitation as well as wind-induced force. The crane mounted on a ship with actuator saturations is taken into consideration and its modeling is derived from the Lagrange formulation.

8p viwendy2711 05-10-2021 10 1   Download

This study developed a set of parameters that can be used to normalize the modulus reduction and damping curves to be stressindependent. The proposed formulations for the stress-independent parameters were implemented in the finite element code SRAP and validated through producing shear modulus reduction and damping curves that match the existed ones.

16p chauchaungayxua12 09-07-2021 12 2   Download

In this paper the smoothed strain based four-node flat element MISQ24 with driiling degrees of freedom is extended for geometrically nonlinear analysis of plate and shell structures. The von-Karman's large deflection theory and the Total Lagrangian (TL) approach are employed in the formulation of the elements to describe small strain geometric nonlinearity with large deformations using the first-order shear deformation theory (FSDT).

11p chauchaungayxua12 12-05-2021 7 1   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

In the present work, the large displacement behaviour of FGSW beams in thermal environment is studied by a finite element formulation. The beams considered herein consist of three layers, a homogeneous core and two FGM skin layers. The material properties are assumed to be temperature dependent, and they are graded in the thickness direction by a power gradation law. Based on Antman beam model, a nonlinear beam element using linear interpolation is formulated in the context of the total Lagrange formulation.

20p nguaconbaynhay11 07-04-2021 17 1   Download

The present paper presents the evaluation of three-dimensional (3D) stress distributions of shell structures in the large displacement and rotation fields. The proposed geometrical nonlinear model is based on a combination of the Carrera Unified Formulation (CUF) and the Finite Element Method (FEM). Besides, a Newton-Raphson linearization scheme is adopted to compute the geometrical nonlinear equations, which are constrained using the arc-length path-following method.

16p trinhthamhodang9 10-12-2020 15 2   Download

Identifying molecular signatures of disease phenotypes is studied using two mainstream approaches: (i) Predictive modeling methods such as linear classification and regression algorithms are used to find signatures predictive of phenotypes from genomic data, which may not be robust due to limited sample size or highly correlated nature of genomic data.

13p vioklahoma2711 19-11-2020 13 0   Download