Download or read book Applications of Parallel and Vector Algorithms in Nonlinear Structural Dynamics Using the Finite Element Method written by Brian E. Healy and published by . This book was released on 1992 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research is directed toward the numerical analysis of large, three dimensional, nonlinear dynamic problems in structural and solid mechanics. Such problems include those exhibiting large deformations, displacements, or rotations, those requiring finite strain plasticity material models that couple geometric and material nonlinearities, and those demanding detailed geometric modeling. A finite element code was developed, designed around the 3D isoparametric family of elements, and using a Total Lagrangian formulation and implicit integration of the global equations of motion. The research was conducted using the Alliant FX/8 and Convex C240 supercomputers. The research focuses on four main areas: Development of element computation algorithms that exploit the inherent opportunities for concurrency and vectorization present in the finite element method; Comparison of the preconditioned conjugate gradient method to a representative direct solver; Investigation of various nonlinear solution algorithms, such as modified Newton-Raphson, secant-Newton, and nonlinear preconditioned conjugate gradient; and, Discovery of an accurate, robust finite strain plasticity material model.
Download or read book Parallel and Vector Algorithms in Nonlinear Structural Dynamics Using the Finite Element Method written by Brian E. Healy and published by . This book was released on 1991 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research is directed toward the analysis of large, three dimensional, nonlinear dynamic problems in structural and solid mechanics. Such problems include those exhibiting large deformation, displacements, or rotations, those requiring finite strain plasticity material models that couple geometric and material nonlinearities, and those demanding detailed geometric modeling. The finite element method based on a Total Lagrangian approach and performing an implicit solution of the global equations of motion is employed to model these problems. The resulting computer program was designed around the use of the 3D isoparametric family of elements. The research was conducted using the Alliant FX/8 and Convex C240 supercomputers. The research focuses on four main areas: (1) The development of element computation algorithms so that the inherent opportunities for concurrency and vectorization present in the finite element method can be exploited. Optimizing compilers are not sufficient for dealing with complications such as data dependencies and are not equipped to recognize opportunities to restructure code to achieve a higher level of concurrency and a consistently efficient vector length. Because of this, compiler optimized finite element code written for sequential computers can be inefficient when executed on supercomputers. (2) The comparison of the preconditioned conjugate gradient method to a representative direct solver. The solution of a linear system of equations is generally required for each equilibrium iteration in a nonlinear analysis. Traditionally, a direct solver has been used to perform this linear solution. However, given the memory requirements and computational effort characteristic of a direct solver, iterative methods are more appropriate for large problems solved on supercomputers. The element-by-element (EBE) and diagonal preconditioners are employed. (3) The investigation of various nonlinear solution algorithms, such as modified Newton-Raphson, secant-Newton, and nonlinear preconditioned conjugate gradients. (4) The discovery of an accurate and robust finite strain plasticity material model so that material nonlinearities can be evaluated both in the presence and the absence of geometric nonlinearities. The primary focus is on the formulation of the constitutive equations governing $Jsb2$ flow theory using strains-stresses and their rates defined on the unrotated frame of reference.
Download or read book Parallel Vector Equation Solvers for Finite Element Engineering Applications written by Duc Thai Nguyen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the ample number of articles on parallel-vector computational algorithms published over the last 20 years, there is a lack of texts in the field customized for senior undergraduate and graduate engineering research. Parallel-Vector Equation Solvers for Finite Element Engineering Applications aims to fill this gap, detailing both the theoretical development and important implementations of equation-solution algorithms. The mathematical background necessary to understand their inception balances well with descriptions of their practical uses. Illustrated with a number of state-of-the-art FORTRAN codes developed as examples for the book, Dr. Nguyen's text is a perfect choice for instructors and researchers alike.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book Programming the Finite Element Method written by Ian M. Smith and published by John Wiley & Sons. This book was released on 2004-10-01 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title demonstrates how to develop computer programmes which solve specific engineering problems using the finite element method. It enables students, scientists and engineers to assemble their own computer programmes to produce numerical results to solve these problems. The first three editions of Programming the Finite Element Method established themselves as an authority in this area. This fully revised 4th edition includes completely rewritten programmes with a unique description and list of parallel versions of programmes in Fortran 90. The Fortran programmes and subroutines described in the text will be made available on the Internet via anonymous ftp, further adding to the value of this title.
Download or read book Parallel vector Computation for Geometrically Nonlinear Frame Structural Analysis and Design Sensitivity Analysis written by Majdi A. Baddourah and published by . This book was released on 1991 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel Processing for Transient Nonlinear Structural Dynamics of Three dimensional Framed Structures written by Jerome F. Hajjar and published by . This book was released on 1988 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Element Methods written by Duc Thai Nguyen and published by Springer Nature. This book was released on with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Structural Dynamics and Earthquake Engineering written by Manolis Papadrakakis and published by CRC Press. This book was released on 2008-12-04 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing necessity to solve complex problems in Structural Dynamics and Earthquake Engineering requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times. This book presents the latest scientific developments in Computational Dynamics, Stochastic Dynam
Download or read book CAD CAM Abstracts written by and published by . This book was released on 1992 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Energy Research Abstracts written by and published by . This book was released on 1988 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Abstract Journal in Earthquake Engineering written by and published by . This book was released on 1993 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel Finite Element Computations written by B. H. V. Topping and published by . This book was released on 1996 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing the main procedures for the parallelization of the finite element method for distributed memory architectures, this book is for engineers, computer scientists and mathematicians working on the application of high performance computing to finite element methods. Its procedures are applicable to distributed memory computer architectures.
Download or read book Nouvelles Acquisitions written by Institute for Research in Construction (Canada). Information Service and published by . This book was released on 1992 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel Finite Element Methods for the Simulation of Parachute Dynamics and Control written by Wenqing Zhang and published by . This book was released on 2003 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel Computational Methods for Large scale Structural Analysis and Design written by and published by . This book was released on 1994 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
