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Author : Srinivas Tummarakota
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (33 download)
Download or read book Finite Element Modeling of Multibody Systems Using Symbolic Process written by Srinivas Tummarakota and published by . This book was released on 1994 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yiteng Liang
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (988 download)
Download or read book Symbolic Integration of Multibody System Dynamics with Finite Element Method written by Yiteng Liang and published by . This book was released on 2017 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general procedure integrating the finite element method with multibody system dynamics using symbolic computation is presented. It takes advantage of both the nodal formulation and the graph-theoretical approach, so it avoids the tedious modal analysis and can automatically reduce the number of system equations. The validity and expected performance are demonstrated mathematically and philosophically, which are tested by several general examples. A flexible beam is created with a finite element formulation, which is derived according to the classical Bernoulli-Euler beam theory. A comprehensive procedure of deriving kinetic and kinematic equations for the flexible beam is provided, which starts from inspecting the diversity of shape functions to the generalization of inertia and elastic terms. The geometrical nonlinear formulation is revisited and specifically developed for the symbolic integration, and explicit expressions that are rare in existing publications for geometrical nonlinearity are derived for three-dimensional applications. A detailed process is described for the transformation of the equations of motion of the finite-element flexible beam to a form required by the graph-theoretical approach. The beam model is implemented in MapleSim (a multi-physics simulation environment based on symbolic computation and graph theory) and made compatible with other multibody components in its library. Example problems are shown to validate the functionality of the implemented model. The dynamic stiffening effect due to geometrical nonlinearity is explicitly explained with its significance especially in fast and large overall-motion problems. Comparison results also show that the nodal approach shows great potential using the symbolic computation, which runs 70% faster and is more convenient to manipulate than the modal approach. The general procedure of the finite element formulation for the flexible beam can be followed to derive proper formulations of plate and solid elements if using appropriate displacement field assumptions, and the transformation to graph-theoretical equations is also similar.
Author : Edmund Wittbrodt
Publisher : Springer Science & Business Media
ISBN 13 : 354032352X
Total Pages : 229 pages
Book Rating : 4.5/5 (43 download)
Download or read book Dynamics of Flexible Multibody Systems written by Edmund Wittbrodt and published by Springer Science & Business Media. This book was released on 2007-04-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach is presented in this book for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates. Apart from its simple physical interpretation and easy computer implementation, the method is also valuable for educational purposes since it impressively illustrates the impact of mechanical features on the mathematical model.
Author : Jielong Wang
Publisher : Springer Nature
ISBN 13 : 9811984417
Total Pages : 367 pages
Book Rating : 4.8/5 (119 download)
Download or read book Multiscale Multibody Dynamics written by Jielong Wang and published by Springer Nature. This book was released on 2023-03-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higher-order implicit solvers formulate the scope of the book’s content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shell-like, and beam-like structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first- and second-order tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and two-dimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite element-based discrete system, the book discussed the implementation of implicit solvers in detail and introduced the well-developed RADAU IIA algorithms based on post-error estimation to make the contents of the book complete. The intended readers of this book are senior engineers and graduate students in related engineering fields.
Author : Werner Schiehlen
Publisher : Springer Science & Business Media
ISBN 13 : 9401706255
Total Pages : 491 pages
Book Rating : 4.4/5 (17 download)
Download or read book Advanced Multibody System Dynamics written by Werner Schiehlen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: The German Research Council (DFG) decided 1987 to establish a nationwide five year research project devoted to dynamics of multibody systems. In this project universities and research centers cooperated with the goal to develop a general pur pose multibody system software package. This concept provides the opportunity to use a modular structure of the software, i.e. different multibody formalisms may be combined with different simulation programmes via standardized interfaces. For the DFG project the database RSYST was chosen using standard FORTRAN 77 and an object oriented multibody system datamodel was defined. The project included • research on the fundamentals of the method of multibody systems, • concepts for new formalisms of dynamical analysis, • development of efficient numerical algorithms and • realization of a powerful software package of multibody systems. These goals required an interdisciplinary cooperation between mathematics, compu ter science, mechanics, and control theory. ix X After a rigorous reviewing process the following research institutions participated in the project (under the responsibility of leading scientists): Technical University of Aachen (Prof. G. Sedlacek) Technical University of Darmstadt (Prof. P. Hagedorn) University of Duisburg M. Hiller) (Prof.
Author : Jože Korelc
Publisher : Springer
ISBN 13 : 3319390058
Total Pages : 367 pages
Book Rating : 4.3/5 (193 download)
Download or read book Automation of Finite Element Methods written by Jože Korelc and published by Springer. This book was released on 2016-06-08 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especially for nonlinearformulations. The automation of this process can help to speed up this processconsiderably since the generation of the final computer code can be accelerated by order ofseveral magnitudes.This book provides the reader with the required knowledge needed to employ modernautomatic tools like AceGen within solid mechanics in a successful way. It covers the rangefrom the theoretical background, algorithmic treatments to many different applications. Thebook is written for advanced students in the engineering field and for researchers ineducational and industrial environments.
Author : Robert Seifried
Publisher : Springer Science & Business Media
ISBN 13 : 3319012282
Total Pages : 257 pages
Book Rating : 4.3/5 (19 download)
Download or read book Dynamics of Underactuated Multibody Systems written by Robert Seifried and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Underactuated multibody systems are intriguing mechatronic systems, as they posses fewer control inputs than degrees of freedom. Some examples are modern light-weight flexible robots and articulated manipulators with passive joints. This book investigates such underactuated multibody systems from an integrated perspective. This includes all major steps from the modeling of rigid and flexible multibody systems, through nonlinear control theory, to optimal system design. The underlying theories and techniques from these different fields are presented using a self-contained and unified approach and notation system. Subsequently, the book focuses on applications to large multibody systems with multiple degrees of freedom, which require a combination of symbolical and numerical procedures. Finally, an integrated, optimization-based design procedure is proposed, whereby both structural and control design are considered concurrently. Each chapter is supplemented by illustrated examples.
Author : Christoph Woernle
Publisher : Springer Nature
ISBN 13 : 3662672626
Total Pages : 458 pages
Book Rating : 4.6/5 (626 download)
Download or read book Multibody Systems written by Christoph Woernle and published by Springer Nature. This book was released on with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Society of Mechanical Engineers. Winter Annual Meeting
Publisher : American Society of Mechanical Engineers
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)
Download or read book Dynamics of Flexible Multibody Systems written by American Society of Mechanical Engineers. Winter Annual Meeting and published by American Society of Mechanical Engineers. This book was released on 1992 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tamer Wasfy
Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.:/5 (362 download)
Download or read book Modeling Flexible Multibody Systems Including Impact and Thermal Effects Using the Finite Element Method and Convected Coordinates written by Tamer Wasfy and published by . This book was released on 1994 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vahid Nassehi
Publisher : World Scientific
ISBN 13 : 1848164297
Total Pages : 265 pages
Book Rating : 4.8/5 (481 download)
Download or read book Finite Element Modeling of Multiscale Transport Phenomena written by Vahid Nassehi and published by World Scientific. This book was released on 2011 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex multiscale systems such as combined free or porous flow regimes and transport processes governed by combined diffusion, convection and reaction mechanisms, which cannot be readily modeled using traditional methods, can be solved by multiscale or stabilized finite element schemes. Due to the importance of the described multiscale processes in applications such as separation processes, reaction engineering and environmental systems analysis, a sound knowledge of such methods is essential for many researchers and design engineers who wish to develop reliable solutions for industrially relevant problems. The main scope of this book is to provide an authoritative description of recent developments in the field of finite element analysis, with a particular emphasis on the multiscale finite element modeling of transport phenomena and flow problem.
Author : J. E. Akin
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811250613
Total Pages : 0 pages
Book Rating : 4.2/5 (56 download)
Download or read book Finite Element Analysis written by J. E. Akin and published by World Scientific Publishing Company. This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive compendium presents the detailed theory, implementation and application of finite element analysis via heavily commented Matlab scripts. The book includes over 110 examples of the methods, and has a very detailed subject index. It uniquely illustrates the use of symbolic Matlab capabilities to derive element interpolation functions and to analytically integrated complicated element matrices.The useful volume text is suitable as a reference on finite element methods and efficient Matlab programming. Chapters prominently end with a detailed summary of the important features and tables of useful finite element matrices. It can be used as the textbook for introductory, intermediate, or advanced courses utilizing numerically integrated and curvilinear element.
Author : Manuel F.O. Seabra Pereira
Publisher : Springer Science & Business Media
ISBN 13 : 9401711100
Total Pages : 314 pages
Book Rating : 4.4/5 (17 download)
Download or read book Computational Dynamics in Multibody Systems written by Manuel F.O. Seabra Pereira and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the edited version of selected papers presented at the Nato Advanced Study Institute on "Computer Aided Analysis of Rigid and Flexible Mechanical Systems", held in Portugal, from the 27 June to 9 July, 1994. The present volume can be viewed as a natural extension of the material addressed in the Institute which was published by KLUWER in the NATO ASI Series, Vol. 268, in 1994. The requirements for accurate and efficient analysis tools for design of large and lightweight mechanical systems has driven a strong interest in the challenging problem of multibody dynamics. The development of new analysis and design formulations for multi body systems has been more recently motivated with the need to include general features such as: real-time simulation capabilities, active control of machine flexibilities and advanced numerical methods related to time integration of the dynamic systems equations. In addition to the presentation of some basic formulations and methodologies in dynamics of multibody systems, including computational aspects, major applications of developments to date are presented herein. The scope of applications is extended to vehicle dynamics, aerospace technology, robotics, mechanisms design, intermittent motion and crashworthiness analysis. Several of these applications are explored by many contributors with a constant objective to pace development and improve the dynamic performance of mechanical systems avoiding different mechanical limitations and difficult functional requirements, such as, for example, accurate positioning of manipulators.
Author : Heetaek Lim
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.:/5 (34 download)
Download or read book A Finite Element Approach to the Dynamic Simulation of Multibody Systems written by Heetaek Lim and published by . This book was released on 2001 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roy Leon Courtney
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (31 download)
Download or read book Finite-element Modeling Studies in the Normal-mode Method and Normal-mode Synthesis written by Roy Leon Courtney and published by . This book was released on 1971 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edwin Kreuzer
Publisher : Springer
ISBN 13 : 3709130107
Total Pages : 265 pages
Book Rating : 4.7/5 (91 download)
Download or read book Computerized Symbolic Manipulation in Mechanics written by Edwin Kreuzer and published by Springer. This book was released on 2014-05-04 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present important software tools, basic concepts, methods, and highly sophisticated applications of computerized symbolic manipulation to mechanics problems. An overview about general-purpose symbolic software is followed by general guidelines how to develop and implement high-quality computer algebra code. The theoretical background including modeling techniques for mechanical systems is provided which allows for the computer aided generation of the symbolic equation of motion for multibody systems. It is shown how the governing equations for different types of problems in structural mechanics can be automatically derived and how to implement finite element techniques via computer algebra software. Perturbation methods as a very powerful approach for nonlinear problems are discussed in detail and are demonstrated for a number of applications. The applications covered in this book represent some of the most advanced topics in the rapidly growing field of research on symbolic computation.
Author : Ronald L. Huston
Publisher : Butterworth-Heinemann
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)
Download or read book Multibody Dynamics written by Ronald L. Huston and published by Butterworth-Heinemann. This book was released on 1990 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the fundamentals of multibody dynamics from the principles of elementary mechanics. It is written in a tutorial style with numerous examples and an emphasis upon computational methods. This book should be accessible to anyone with a basic knowledge of elementary mechanics and analysis. Multibody Dynamics examines the behavior of systems of bodies subjected to forces or constraints. The bodies may be securely or loosely connected, and flexible or rigid. Such generality allows the use of multibody systems to model an increasing number of physical systems ranging from robots, biosystems (human body models), satellite booms, large structures, chains and cables. Until recently, analyses of such systems were virtually intractable. With the availability of high-speed digital computers, however, and with corresponding advances in analysis methods, multibody dynamics analyses are not only feasible, they are also practical, and applicable, to these important physical systems.
