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 (R)-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.