Principles of Analytical System Dynamics


Book Description

A novel approach to analytical mechanics, using differential-algebraic equations, which, unlike the usual approach via ordinary differential equations, provides a direct connection to numerical methods and avoids the cumbersome graphical methods that are often needed in analysing systems. Using energy as a unifying concept and systems theory as a unifying theme, the book addresses the foundations of such disciplines as mechatronics, concurrent engineering, and systems integration, considering only discrete systems. Readers are expected to be familiar with the fundamentals of engineering mechanics, but no detailed knowledge of analytical mechanics, system dynamics, or variational calculus is required. The treatment is thus accessible to advanced undergraduates, and the interdisciplinary approach should be of interest not only to academic engineers and physicists, but also to practising engineers and applied mathematicians.







Advanced Analytical Dynamics


Book Description

Intended for graduate students, this textbook provides an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task-based approaches that can be exploited for real-world problems. Students will receive a timely perspective on applying theory to modern problems in areas like biomechanics and robotics.




Mechanical System Dynamics


Book Description

Mechanics as a fundamental science in Physics and in Engineering deals with interactions of forces resulting in motion and deformation of material bodies. Similar to other sciences Mechanics serves in the world of Physics and in that of Engineering in a di?erent way, in spite of many and increasing inter- pendencies. Machines and mechanisms are for physicists tools for cognition and research, for engineers they are the objectives of research, according to a famous statement of the Frankfurt physicist and biologist Friedrich Dessauer. Physicists apply machines to support their questions to Nature with the goal of new insights into our physical world. Engineers apply physical knowledge to support the realization process of their ideas and their intuition. Physics is an analytical Science searching for answers to questions concerning the world around us. Engineering is a synthetic Science, where the physical and ma- ematical fundamentals play the role of a kind of reinsurance with respect to a really functioning and e?ciently operating machine. Engineering is also an iterative Science resulting in typical long-time evolutions of their products, but also in terms of the relatively short-time developments of improving an existing product or in developing a new one. Every physical or mathematical Science has to face these properties by developing on their side new methods, new practice-proved algorithms up to new fundamentals adaptable to new technological developments. This is as a matter of fact also true for the ?eld of Mechanics.




System Dynamics for Engineering Students


Book Description

Engineering system dynamics focuses on deriving mathematical models based on simplified physical representations of actual systems, such as mechanical, electrical, fluid, or thermal, and on solving these models for analysis or design purposes. System Dynamics for Engineering Students: Concepts and Applications features a classical approach to system dynamics and is designed to be utilized as a one-semester system dynamics text for upper-level undergraduate students with emphasis on mechanical, aerospace, or electrical engineering. It is the first system dynamics textbook to include examples from compliant (flexible) mechanisms and micro/nano electromechanical systems (MEMS/NEMS). This new second edition has been updated to provide more balance between analytical and computational approaches; introduces additional in-text coverage of Controls; and includes numerous fully solved examples and exercises. - Features a more balanced treatment of mechanical, electrical, fluid, and thermal systems than other texts - Introduces examples from compliant (flexible) mechanisms and MEMS/NEMS - Includes a chapter on coupled-field systems - Incorporates MATLAB® and Simulink® computational software tools throughout the book - Supplements the text with extensive instructor support available online: instructor's solution manual, image bank, and PowerPoint lecture slides NEW FOR THE SECOND EDITION - Provides more balance between analytical and computational approaches, including integration of Lagrangian equations as another modelling technique of dynamic systems - Includes additional in-text coverage of Controls, to meet the needs of schools that cover both controls and system dynamics in the course - Features a broader range of applications, including additional applications in pneumatic and hydraulic systems, and new applications in aerospace, automotive, and bioengineering systems, making the book even more appealing to mechanical engineers - Updates include new and revised examples and end-of-chapter exercises with a wider variety of engineering applications




Analytical Dynamics


Book Description

This book comprises a set of lecture notes on rational mechanics, for part of the graduate physics curriculum, delivered by the late Prof. Shirley L. Quimby during his tenure at Columbia University, New York. The notes contain proofs of basic theorems, derivations of formulae and amplification of observations, as well as the presentation and solution of illustrative problems. Collateral readings from more than 50 source references are indicated at appropriate places in the text.




System Dynamics and Mechanical Vibrations


Book Description

A comprehensive treatment of "linear systems analysis" applied to dynamic systems as an approach to interdisciplinary system design beyond the related area of electrical engineering. The text gives an interpretation of mechanical vibrations based on the theory of dynamic systems, aiming to bridge the gap between existing theoretical methods in different engineering disciplines and to enable advanced students or professionals to model dynamic and vibrating systems with reference to communication and control processes. Emphasizing the theory it presents a balanced coverage of analytical principles and applications to vibrations with regard to mechatronic problems.




Theory and Practical Exercises of System Dynamics


Book Description

As the complexity of our world increases systems thinking is emerging as a critical factor for success, and even survival. How then can people become skilled systems thinkers? The most effective learning experiences combine experience with reflection, theory with practice. Traditionally, theory was taught in school and university, and experience was gained in life outside those walls. But in the world of complex dynamic systems such as a business, society, or ecosystem, everyday experience fails because the time horizon and scope of the systems is so vast-we never experience the majority of the effects of our decisions. And without relevant experience, theory is uninteresting to students. The old ways of learning fail. When experiments in the real world are impossible, simulation becomes the main way we can learn effectively about the dynamics of complex systems. For this reason I'm pleased to introduce Juan Martin Garcia's book 'Theory and Practical Exercises of System Dynamics'. Juan combines theory and practice, experience and opportunities for reflection, so that newcomers to the field can learn for themselves how complex dynamic systems work. The examples span a range of important economic and social issues, from the aging of the population in developed economies to the course of contagious diseases to the accumulation of pollutants in the environment; everyone will find some examples here of direct personal interest. The modeling exercises guide the learner through the process of building a working simulation; students will not only learn about the issues addressed, and in the use of state of the art simulation software, but will develop skill in the modeling process. Juan has written a delightful first introduction to the field of system dynamics and complexity, and provides a much-needed addition to the literature available. John D. Sterman Index System Dynamics - Identifying the Problem - Defining the System - The Boundaries of a System - The Causal Diagram - Feedback - The Limiting Factor - The Key Factors - Classification of Systems - Generic Structures - World Models Building a Model - Flow Diagrams - Computer Simulation - Behaviour of the Model - Analysis of the System - Weaknesses of Models Guide to Creating a Model - Creating a Causal Diagram - Creating a Flow Diagram - Writing the conclusions Environmental System Dynamics - Population Growth - Modeling the Ecology of a Natural Reserve - Effects of the Intensive Farming - The Fishery of Shrimp - Rabbits and Foxes - A Study of Hogs - Ingestion of Toxins - The Barays of Angkor Management System Dynamics - Production and Inventory - Global CO2 Emissions - How to work more and better - Managing of Faults - Project Dynamics - Innovatory Companies - Quality Control - The impact of a Business Plan Social System Dynamics - Filling a Glass - Dynamics of a Segmented Population - The Young Ambitious Worker - Development of an Epidemic - The Dynamics of Two Clocks Mechanical System Dynamics - Dynamics of a Tank - Study of the Oscillatory Movements - Design of a Chemical Reactor The author Juan Martín García is a teacher and worldwide recognized expert in System Dynamics, with more than twenty years of experience in this field. Ph.D. Industrial Engineer (Spain) and Postgraduated Diploma in Business Dynamics at Massachusetts Institute of Technology MIT (USA). He teaches Vensim online courses in http://vensim.com/vensim-online-courses/ based on System Dynamics.




Analytical System Dynamics


Book Description

"Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.




Analytical Mechanics


Book Description

This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.