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Solid Mechanics and Its Applications

Engineering Dynamics 2.0

Fundamentals and Numerical Solutions

Authors: Schmerr, Lester W.

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  • Includes many Matlab numerical simulations and animations that bring the behavior of dynamic systems "alive" for the reader
  • Presents a unified matrix-based approach to dynamics suitable for a second-level course that provides a foundation for higher level studies and the use of dynamics in engineering practice
  • Dedicated chapters on stability and vibrations explain the behavior seen in common dynamical systems
  • Emphasizes the role of constraints in solving dynamics problems--providing a better understanding of the connection between Newton-Euler methods and Analytical Dynamics
  • Introduces readers to finite differences and finite elements of deformable bodies, to be used as a basis for exploring and using these methods in advanced applications
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  • ISBN 978-3-319-98470-4
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About this book

This book presents a new approach to learning the dynamics of particles and rigid bodies at an intermediate to advanced level. There are three distinguishing features of this approach. First, the primary emphasis is to obtain the equations of motion of dynamical systems and to solve them numerically. As a consequence, most of the analytical exercises and homework found in traditional dynamics texts written at this level are replaced by MATLAB®-based simulations. Second, extensive use is made of matrices. Matrices are essential to define the important role that constraints have on the behavior of dynamical systems. Matrices are also key elements in many of the software tools that engineers use to solve more complex and practical dynamics problems, such as in the multi-body codes used for analyzing mechanical, aerospace, and biomechanics systems. The third and feature is the use of a combination of Newton-Euler and Lagrangian (analytical mechanics) treatments for solving dynamics problems. Rather than discussing these two treatments separately, Engineering Dynamics 2.0 uses a geometrical approach that ties these two treatments together, leading to a more transparent description of difficult concepts such as "virtual" displacements.
Some important highlights of the book include: 

  • Extensive discussion of the role of constraints in formulating and solving dynamics problems.
  • Implementation of a highly unified approach to dynamics in a simple context suitable for a second-level course.
  • Descriptions of non-linear phenomena such as parametric resonances and chaotic behavior.
  • A treatment of both dynamic and static stability.
  • Overviews of the numerical methods (ordinary differential equation solvers, Newton-Raphson method) needed to solve dynamics problems.
  • An introduction to the dynamics of deformable bodies and the use of finite difference and finite element methods.
Engineering Dynamics 2.0 provides a unique, modern treatment of dynamics problems that is directly useful in advanced engineering applications. It is a valuable resource for undergraduate and graduate students and for practicing engineers.

About the authors

Les Schmerr received a B.S. degree in Aeronautics and Astronautics from the Massachusetts Institute of Technology in 1965 and a Ph.D. in Mechanics from the Illinois Institute of Technology in 1970. Since 1969 he has been at Iowa State University where he is currently Professor of Aerospace Engineering and Associate Director of the Center for Nondestructive Evaluation. He is also the Permanent Secretary of the World Federation of NDE Centers. His research interests include ultrasonics, elastic wave propagation and scattering, and artificial intelligence. He has developed and taught Ultrasonics and Nondestructive Evaluation courses at both the undergraduate and graduate level. He is the author of several books, including Ultrasonic Nondestructive Evaluation Systems (2007), Fundamentals of Ultrasonic Phased Arrays (2015), and most recently, the second edition of Fundamentals of Ultrasonic Nondestructive Evaluation (2016). He is a member of IEEE, ASME, ASNT and AIAA.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook n/a
  • ISBN 978-3-319-98470-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-319-98469-8
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Engineering Dynamics 2.0
Book Subtitle
Fundamentals and Numerical Solutions
Authors
Series Title
Solid Mechanics and Its Applications
Series Volume
254
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-98470-4
DOI
10.1007/978-3-319-98470-4
Hardcover ISBN
978-3-319-98469-8
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XIII, 707
Number of Illustrations
212 b/w illustrations, 93 illustrations in colour
Topics