Finite element solutions

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

This article presents two methods to determine pressing forces to the M1 copper plate. The first approach employs the upper-bound method, and the second method combines numerical simulation with a central composite design. The upper-bound method uses physical analysis to determine the deformation zone and establish the division of the rigid block model. The findings were identical to the slip-line solution method.

12p viambani 18-06-2024 3 1   Download

The developed program has been successfully implemented to model and simulate the forming process, considering various aspects of the problem. The results of the solutions have been compared and evaluated, leading to important conclusions. The research also outlines future developments in this field. It is hoped that the results and understanding of this research will contribute to the field of computational mechanics and inspire further research.

9p dianmotminh02 03-05-2024 3 1   Download

This paper aims to design the multi-cell cross-sectional thin-walled columns with two crashworthiness criteria. An explicit finite element analysis (FEA) is used to derive higher-order response surfaces for these two objectives. In the process of multiobjective crashworthiness optimization, Deb and Gupta method was utilized to find out the knee points from the Pareto solutions space.

10p vimarillynhewson 02-01-2024 3 3   Download

Part 1 of ebook "Industrializing additive manufacturing — Proceedings of additive manufacturing in products and applications (AMPA2017)" provides readers with contents including: design tools and methods; manufacturing process chain; novel optimised structural aluminium cross-sections towards 3D printing; analysis of the influence of shielding and carrier gases on the DED powder deposition efficiency for a new deposition nozzle design solution;...

133p lytamnguyet 04-08-2023 4 3   Download

This article discusses the reality of road development in DienBien province from 2016 to 2020. Concurrently, this article demonstrates problems and obstacles in road development and proposes necessary solutions for future road development problems in DienBien province.

8p vifalcon 16-05-2023 6 3   Download

In this paper, a study on the free vibration analysis based on isogeometric approach of truss structures is presented. Three refinement schemes such as h-, p- and k- refinement are used to obtain the accuracy of solution.

8p vidoctorstrange 06-05-2023 4 1   Download

The dynamic analysis is a necessity in the design, manufacturing and maintenance of structures. The analytic solutions are not available for most practical cases and the Finite Element Method (FEM) is not reliable due to the joint problem, unclear loading, material properties and numerical error. In this paper, we present a way to find modes shape of 3D Frame by FEM program using Matlab.

8p vidoctorstrange 06-05-2023 4 2   Download

In this study, we apply an artificial viscosity method to convert an unsteady level set (LS) convection equation into an unsteady LS convection-diffusion transport equation to stabilize the numerical solution of the convection term. Then a novel least-square polygonal finite element method is used to solve an unsteady LS convection-diffusion problem.

9p viharry 14-12-2022 8 2   Download

The difficulty in solving finite element programs is to estimate the appropriate element size to obtain a reliable solution. Therefore, the element(s) size and meshing density is required to be determined reasonably. However, almost models ignored that problem or have to solve it by hand.

10p vimclaren 20-10-2022 5 2   Download

In this study, the hot forging process of a connecting rod was performed using both finite element method (FEM) and experimental method (EM). With four workpiece types, the forging processes were conducted using QForm.10.1.6 to evaluate the maxinmum forging force, the temperature contribution, the plascity tress, the filling ability, and detect the laps in the forging products. The best solution was determined based on these evaluated results. With maximum forging force of 372.

6p andromedashun 16-05-2022 14 1   Download

In this paper, the computational scheme and calculation results of scattering functions for metastable states of a diatomic beryllium molecule in laser spectroscopy are presented. The solution to the problem is performed using the authors' software package with the high-accuracy finite element method.

14p viericschmid 07-01-2022 16 0   Download

In this study, a semi-analytical solution of the Reynolds equation based on the Scaled Boundary Finite Element Method (SBFEM) is developed to reduce the numerical effort of the overall simulation. In contrast to a purely numerical solution, the two-dimensional pressure field is discretized in only one coordinate direction, whereas in the other direction, an analytical formulation is used.

19p guernsey 28-12-2021 11 0   Download

The total solution designs of the tapped-shoe rotor with diferent tapped angles have not yet implemented by those papers so far. For that, in this paper, the tapped shoe rotor pole design is proposed by different angles for the high speed switched reluctance motor of 30 kW and 18000 rpm.

7p vicolinzheng 14-12-2021 14 0   Download

Lecture Finite element method - Chapter 3: Development of truss equations provide students with knowledge about the stiffness matrix for a bar element, transformation of vectors in two dimensions, global stiffness matrix for bar arbitrarily oriented in the plane, computation of stress for a bar in the x-y plane,...

89p thienlangso 15-12-2021 16 1   Download

This paper presents a new continuous element model for studying the dynamic behavior of complex tubes composed by cylindrical shell, annular plate and conical shell which are widely used in automobile exhausts, sewer pipes and pipelines. Based on the analytical solutions of the system of differential equations for cylinders, cones and annular plates, the dynamic stiffness matrix for complex composite tubes has been established and assembled.

6p cothumenhmong11 10-05-2021 17 1   Download

The dynamic response to variable magnitude moving distributed masses of simply supported non-uniform Bernoulli–Euler beam resting on Pasternak elastic foundation is investigated in this paper. The problem is governed by fourth order partial differential equation with variable and singular coefficients. The main objective of this work is to obtain closed form solution to this class of dynamical problem.

16p nguaconbaynhay11 07-04-2021 7 1   Download

In this article, we propose a two-process coupling subproblem technique for improving the errors that overcome thin shell assumptions. This technique is based on the subproblem method to couple SPs in two-processes. The first scenario is an initial problem solved with coils/stranded inductors together with thin region models. The obtained solutions are then considered as volume sources for the second scenario, including actual volume improvements that scope with the thin shell assumptions.

4p larachdumlanat127 02-01-2021 5 2   Download

In this paper, source is considered as a single equivalent dipole and genetic algorithm, an efficient and robust optimization method, is proposed to estimate parameters of source. Some improvements are introduced to enhance performance of conventional genetic algorithm.

12p larachdumlanat127 20-12-2020 12 1   Download

In adaptive finite element methods, the papproach uses elements of varying degrees to represent the approximate solution. In this paper, we systematically define, present and prove the main properties of nodal basis functions utilized in p-adaptive finite element methods.

5p vimississippi2711 08-12-2020 8 0   Download