Investigation of Geometrically Nonlinear Vibrations of Laminated Shallow Shells with Layers of Variable Thickness by Meshless Approach

Geometrically nonlinear vibrations of laminated shallow shells with layers of variable thickness are studied. Nonlinear equations of motion for shells based on the first order shear deformation and classical shells theories are considered. In order to solve this problem we use the numerically-analytical method proposed in work [1]. Accordingly to this approach the initial problem is reduced to consequences of some linear problems including linear vibrations problem, special elasticity ones and nonlinear system of ordinary differential equations in time. The linear problems are solved by the variational Ritz’ method and Bubnov-Galerkin procedure combined with the R-functions theory [2]. To construct the basic functions that satisfy all boundary conditions in case of simply-supported shells we propose new solutions structures. The proposed method is used to solve both test problems and new ones

The large-scale economic and industrial systems structural and organizational sustainability ensuring through enterprise engineering methodology

In the new global economy enterprise integration and collaboration has become a central issue for achieving the market success, which is why the significant amount of the large-scale enterprise and industrial systems (LSEIS) has appeared. Despite LSEIS efficacy, their participants suffer from several major drawbacks: the limited rationality and opportunistic behavior from other LSEIS participants, the insufficient coordination because of the possibility of setting the different goals than consolidated LSEIS vision. All these deficiencies lead LSEIS towards to losing the stability of functioning and require developing the approach for its avoiding. Given this, this article aims to propose the conceptual, theoretical framework for the ensuring the structural and organizational sustainability of LSEIS functioning. The achieving of this aims based on the author’s hypothesis about the ensuring LSEIS sustainability through the optimization of the LSEIS participants’ interaction parameters and establishing the set of business rules accepted by all members of an integrated organization. In order to prove this hypothesis was used the DEMO (Design and Engineering Methodology for Organizations) methodology

Interaction of E-Polarized Wave With Prefractal Weakly Filled Diffraction Gratings (an Asymptotical Model)

An asymptotical model of E-polarized electromagnetic wave interaction with weakly filled prefractal diffraction grating (PFDG) is considered in details on the base of rigorous electromagnetic theory. A stage of construction for Cantor set with variable Hausdorff dimension is used for PFDG order. An integral equation technique with usage of asymptotical approach and Carleman inversion formula is applied. Asymp-totical formulas for determination of the main electromagnetic characteristics are obtained. Numerical experiments are done to find the fractal properties of the pre-fractal grating. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3024

Analysis of Geometrically Nonlinear Vibrations of Functionally Graded Shallow Shells of a Complex Shape

Geometrically nonlinear vibrations of functionally graded shallow shells of complex planform are studied. The paper deals with a power-law distribution of the volume fraction of ceramics and metal through the thickness. The analysis is performed with the use of the R-functions theory and variational Ritz method. Moreover, the Bubnov-Galerkin and the Runge-Kutta methods are employed. A novel approach of discretization of the equation of motion with respect to time is proposed. According to the developed approach, the eigenfunctions of the linear vibration problem and some auxiliary functions are appropriately matched to fit unknown functions of the input nonlinear problem. Application of the R-functions theory on every step has allowed the extension of the proposed approach to study shallow shells with an arbitrary shape and different kinds of boundary conditions. Numerical realization of the proposed method is performed only for one-mode approximation with respect to time. Simultaneously, the developed method is validated by investigating test problems for shallow shells with rectangular and elliptical planforms, and then applied to new kinds of dynamic problems for shallow shells having complex planforms

Методичні вказівки до виконання курсової роботи з курсу "Організація комп'ютерних мереж"

Students are required to produce a term project building upon and complementing the material covered in class. The topic of the project should be related to making Ethernet cable, Network design, network security. A set of suggested projects is attached below. Each of you is required to pair up with another student to form a team of two members for the project. The final result of the project will be a technical report and a presentation. Students participate in computer networking courses during third course. Computer networking projects give students hands-on experience to learn and digest the course materials being taught. These course project also give students practical experience, especially for those who plan to continue their careers within the field

Geometrical analysis of vibrations of functionally graded shell panels using the R-functions theory

An approach for investigation of geometrically nonlinear vibrations of functionally graded shallow shells and plates with complex planform is proposed. It combines the application of the R-functions theory (RFM), variational Ritz’s method, the procedure by Bubnov-Galerkin and Runge-Kutta method. The presented method is developed in the framework of the first–order shear deformation shallow shell theory (FSDT). Shell panels under consideration are made from a mixture of ceramics and metal. Power law of volume fraction distribution of materials through thickness is chosen. Investigation of nonlinear vibrations of functionally graded shallow shells and plates with arbitrary planform and different types of boundary conditions is carried out. Test problems and numerical results have been presented for one-mode approximation in time. Effect of volume fraction exponent, geometry of a shape and boundary conditions on the natural frequencies is brought out

Geometrically Nonlinear Vibrations of Functionally Graded Shallow Shells

An original method for investigation of geometrically nonlinear vibrations of functionally graded shallow shells and plates with complex planform is presented. Shells under consideration are made from a composite of ceramics and metal. Power law of volume fraction distribution of materials through thickness is chosen. Mathematical statement is implemented in the framework of the refined geometrically nonlinear theory of the shallow shells of the first order (Timoshenko type). The proposed approach combines the application of the Rfunctions theory (RFM), variational Ritz method, procedure by Bubnov-Galerkin and Runge-Kutta method. Due to use of this combined algorithm it is possible to reduce the initial nonlinear system of motion equations with partial derivatives to a nonlinear system of ordinary differential equations. Investigation task of functionally graded shallow shells with arbitrary planform and different types of boundary conditions is carried out by the proposed method. Test problems and numerical results have been presented for one-mode approximation in time. In future, the developed method may be extended to investigation of geometrically nonlinear forced vibrations of functionally graded shallow shells with complex planform

Geometrical analysis of vibrations of functionally graded shell panels using the R-functions theory

An approach for investigation of geometrically nonlinear vibrations of functionally graded shallow shells and plates with complex planform is proposed. It combines the application of the R-functions theory (RFM), variational Ritz’s method, the procedure by Bubnov-Galerkin and Runge-Kutta method. The presented method is developed in the framework of the first–order shear deformation shallow shell theory (FSDT). Shell panels under consideration are made from a mixture of ceramics and metal. Power law of volume fraction distribution of materials through thickness is chosen. Investigation of nonlinear vibrations of functionally graded shallow shells and plates with arbitrary planform and different types of boundary conditions is carried out. Test problems and numerical results have been presented for one-mode approximation in time. Effect of volume fraction exponent, geometry of a shape and boundary conditions on the natural frequencies is brought out

Research of nonlinear vibrations of orthotropic plates with a complex form

This paper deals with effects of large amplitude on the free and forced flexural vibrations of elastic orthotropic plates of arbitrary shape. R-function method (RFM) is applied to obtain the basis functions need for expansion of sought solution into Fourier series. The initial nonlinear system of differential equations with partial derivatives is reduced to system of ordinary nonlinear differential equations by Galerkin procedure. The solvingobtained system is carried out by Runge-Kutta or Galerkin methods. The numerical results for the plate of complex form and also rectangular form and different boundary conditions have been presented and compared with other known results