Mechanical vibration - Theory and applications
Engineers apply mathematics and science to solve problems. In a traditional undergraduate
engineering curriculum, students begin their academic career by taking courses
in mathematics and basic sciences such as chemistry and physics. Students
begin to develop basic problem-solving skills in engineering courses such as statics, dynamics,
mechanics of solids, fluid mechanics, and thermodynamics. In
such courses, students learn to apply basic laws of nature, constitutive
equations, and equations of state to develop solutions to abstract engineering problems.
Vibrations is one of the first courses where students learn to apply the knowledge obtained
from mathematics and basic engineering science courses to solve practical problems. While the
knowledge about vibrations and vibrating systems is important, the problem-solving skills
obtained while studying vibrations are just as important. The objectives of this book are twofold:
to present
the basic principles of engineering vibrations and to present them in a framework where the reader
will advance his/her knowledge and skill in engineering problem solving.
This book is intended for use as a text in a junior- or senior-level course in vibrations. It
could be used in a course populated by both undergraduate and graduate students. The latter
chapters are appropriate for use as a stand-alone graduate course in vibrations. The prerequisites
for such a course should include courses in statics, dynamics, mechanics of materials, and
mathematics using differential equations. Some material covered in a course in fluid mechanics
is included, but this material can be omitted without a loss in continuity.
Chapter 1 is introductory, reviewing concepts such as dynamics, so that all readers are
familiar with the terminology and procedures. Chapter 2 focuses on the elements that comprise
mechanical systems and the methods of mathematical modeling of mechanical systems.
It presents
two methods of the derivation of differential equations: the free-body diagram method and the energy method, which are
used throughout the book. Chapters 3 through 5 focus on single degree-of-freedom
(SDOF) systems. Chapter 6 is focused solely on two degree-of-freedom systems. Chapters
7 through 9 focus on general multiple degree-of-freedom systems. Chapter 10 provides a brief overview of continuous systems. The topic of Chapter 11 is
the finite-element methods, which is a numerical method with its origin in energy methods,
allowing
continuous systems to be modeled as discrete systems. Chapter 12 introduces the reader
to nonlinear vibrations, while Chapter 13 provides a brief introduction to random vibrations.
Download
http://s18.alxa.net/s18/srvs2/02/001...plications.rar
Engineers apply mathematics and science to solve problems. In a traditional undergraduate
engineering curriculum, students begin their academic career by taking courses
in mathematics and basic sciences such as chemistry and physics. Students
begin to develop basic problem-solving skills in engineering courses such as statics, dynamics,
mechanics of solids, fluid mechanics, and thermodynamics. In
such courses, students learn to apply basic laws of nature, constitutive
equations, and equations of state to develop solutions to abstract engineering problems.
Vibrations is one of the first courses where students learn to apply the knowledge obtained
from mathematics and basic engineering science courses to solve practical problems. While the
knowledge about vibrations and vibrating systems is important, the problem-solving skills
obtained while studying vibrations are just as important. The objectives of this book are twofold:
to present
the basic principles of engineering vibrations and to present them in a framework where the reader
will advance his/her knowledge and skill in engineering problem solving.
This book is intended for use as a text in a junior- or senior-level course in vibrations. It
could be used in a course populated by both undergraduate and graduate students. The latter
chapters are appropriate for use as a stand-alone graduate course in vibrations. The prerequisites
for such a course should include courses in statics, dynamics, mechanics of materials, and
mathematics using differential equations. Some material covered in a course in fluid mechanics
is included, but this material can be omitted without a loss in continuity.
Chapter 1 is introductory, reviewing concepts such as dynamics, so that all readers are
familiar with the terminology and procedures. Chapter 2 focuses on the elements that comprise
mechanical systems and the methods of mathematical modeling of mechanical systems.
It presents
two methods of the derivation of differential equations: the free-body diagram method and the energy method, which are
used throughout the book. Chapters 3 through 5 focus on single degree-of-freedom
(SDOF) systems. Chapter 6 is focused solely on two degree-of-freedom systems. Chapters
7 through 9 focus on general multiple degree-of-freedom systems. Chapter 10 provides a brief overview of continuous systems. The topic of Chapter 11 is
the finite-element methods, which is a numerical method with its origin in energy methods,
allowing
continuous systems to be modeled as discrete systems. Chapter 12 introduces the reader
to nonlinear vibrations, while Chapter 13 provides a brief introduction to random vibrations.
Download
http://s18.alxa.net/s18/srvs2/02/001...plications.rar