Development and Implementation of the Mesh-free Kp-Ritz Method for the Rotating Shell Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Development and Implementation of the Mesh-free Kp-Ritz Method for the Rotating Shell Dynamics write by Xin Zhao. This book was released on 2003. Development and Implementation of the Mesh-free Kp-Ritz Method for the Rotating Shell Dynamics available in PDF, EPUB and Kindle.
Rotating Shell Dynamics
Rotating Shell Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rotating Shell Dynamics write by Hua Li. This book was released on 2005-01-19. Rotating Shell Dynamics available in PDF, EPUB and Kindle. There are numerous engineering applications for high-speed rotating structures which rotate about their symmetric axes. For example, free-flight sub-munition projectiles rotate at high speeds in order to achieve an aerodynamically-stable flight. This is the first book of its kind to provide a comprehensive and systematic description of rotating shell dynamics. It not only provides the basic derivation of the dynamic governing equations for rotating shells, but documents benchmark results for free vibration, critical speed and parametric resonance. It is written in a simple and clear manner making it accessible both the expert and graduate student. The first monograph to provide a detailed description of rotating shell dynamics Dynamic problems such as free vibration and dynamic stability are examined in detail, for basic shells of revolutions
An Introduction to Meshfree Methods and Their Programming
An Introduction to Meshfree Methods and Their Programming - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Meshfree Methods and Their Programming write by G.R. Liu. This book was released on 2005-12-05. An Introduction to Meshfree Methods and Their Programming available in PDF, EPUB and Kindle. The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.
The Finite Element Method: Theory, Implementation, and Applications
The Finite Element Method: Theory, Implementation, and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Finite Element Method: Theory, Implementation, and Applications write by Mats G. Larson. This book was released on 2013-01-13. The Finite Element Method: Theory, Implementation, and Applications available in PDF, EPUB and Kindle. This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.
Differential Quadrature and Its Application in Engineering
Differential Quadrature and Its Application in Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Quadrature and Its Application in Engineering write by Chang Shu. This book was released on 2012-12-06. Differential Quadrature and Its Application in Engineering available in PDF, EPUB and Kindle. In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration. Differential quadrature provides a global approach to numerical discretization, which approximates the derivatives by a linear weighted sum of all the functional values in the whole domain. Following the analysis of function approximation and the analysis of a linear vector space, it is shown in the book that the weighting coefficients of the polynomial-based, Fourier expansion-based, and exponential-based differential quadrature methods can be computed explicitly. It is also demonstrated that the polynomial-based differential quadrature method is equivalent to the highest-order finite difference scheme. Furthermore, the relationship between differential quadrature and conventional spectral collocation is analysed. The book contains material on: - Linear Vector Space Analysis and the Approximation of a Function; - Polynomial-, Fourier Expansion- and Exponential-based Differential Quadrature; - Differential Quadrature Weighting Coefficient Matrices; - Solution of Differential Quadrature-resultant Equations; - The Solution of Incompressible Navier-Stokes and Helmholtz Equations; - Structural and Vibrational Analysis Applications; - Generalized Integral Quadrature and its Application in the Solution of Boundary Layer Equations. Three FORTRAN programs for simulation of driven cavity flow, vibration analysis of plate and Helmholtz eigenvalue problems respectively, are appended. These sample programs should give the reader a better understanding of differential quadrature and can easily be modified to solve the readers own engineering problems.
