finite element method

The article develops a mathematical model of non-isothermal moisture transfer and viscoelastic deformation of wood during drying, which takes into account the anisotropy and variability of heat-mechanic characteristics. By finite element method was formulated by the implementation of mathematical models for viscoelasticity with regard to the accumulation of irreversible deformation. By object-oriented analysis is designed and implemented software implementation model in the form of documented classes.

Domain decomposition algorithm for solving problems of elasticity based on parallel computing is considered. The global system of equations for the entire domain is not formed and is represented by local matrices and vectors for subdomains using Boolean matrices of connectivity. The system of linear equations is solved by modified conjugate gradient method. The algorithm is implemented with C ++ using parallel MPI library. The results of testing proposed approach for modeling example are included.

In order to confirm the possibility of using the method of Nakamura in the study of surface layers of unknown structure, the authors carried out a comparative analysis of solid amplitude-frequency response research by both of modified Nakamura’s technique and finite element method on the estimating dynamic characteristics of surface layers.

The analysis of the design and drawing punch, which provides flexible parts during it`s production stamping. Special attention is paid to the analysis of the punch options, which are the process of changing operating conditions. The construction of the punch, which maintains altered conditions was offered.

The article presents an example of the usage of golden section search to select the comb length of MEMS el electro-actuator to get the desired displacement at a given voltage heating. The proposed solutions are implemented as software code in the ANSYS system.

A method for estimating and predicting abnormal layer and pore pressure during drilling of oil and gas wells using finite element method is elaborated. Utilizing simulated stress-strain state of a real model of a massif it is shown the qualitative agreement of results with theoretical calculations. We identified evaluation and prediction of pore and layer pressures and reservoir in the rock massif.

The problems of geometric optimization of Euclidean space іn finite element method with involvement of computer means in the calculation of details in the environment of CAD/CAE AutoCAD — Mechanical.

The article presented and explained an algorithm creating a competitive manufacturing technology engineering products from hardened steel. Peculiarities treatment of hardened steel. The possibility of realization of multi-objective optimization process high-speed milling hardened steels based on the finite element method (FEM). A new method for determining the domain of existence of optimal technological modes of processing materials based on FEM.

A specific method of coupling FEM and meshless/meshfree methods is presented. This method is based on placing meshfree nodes inside the finite element and as a result improving the overall approximation on that element. Advantages and disadvantages of such approach are explained. It is shown that such approach is a version of a more general one. Numerical experiments are presented and analyzed.