|Book Details :|
Haym Benaroya, Mark Nagurka and Seon Han are the editors of Mechanical Vibration Analysis, Uncertainties, and Control.
1. INTRODUCTION AND BACKGROUND.
2. SINGLE DEGREE-OF-FREEDOM UNDAMPED VIBRATION.
3. SINGLE DEGREE-OF-FREEDOM DAMPED VIBRATION.
4. SINGLE DOF VIBRATION: GENERAL LOADING AND ADVANCED TOPICS.
5. VARIATIONAL PRINCIPLES AND ANALYTICAL DYNAMICS.
6. MULTI DEGREE-OF-FREEDOM VIBRATION.
7. CONTINUOUS MODELS FOR VIBRATION.
8. CONTINUOUS MODELS FOR VIBRATION: ADVANCED MODELS.
9. RANDOM VIBRATION: PROBABILISTIC FORCES.
10. VIBRATION CONTROL.
11. NONLINEAR VIBRATION.
From the natural world to the physical world, cycles are everywhere. We live our lives according to cycles as the days turn into weeks, the weeks into months, and the months into years.
Cycles repeat at regular intervals and it is this repetitiveness that underlies the concept of vibration. Humans are drawn to vibration as a source of comfort — from our earliest days being rocked to sleep to our later years rocking back and forth in a rocking chair.
But, vibration can also be a source of great discomfort1 with the negative effects of numbness, motion sickness, injury, and even death.
Speaking subjectively, vibration can be good or bad depending on the circumstance. When we don’t want a cell phone to ring — an example of acoustic vibration — we put it in a mode called “vibrate.” We intentionally want it to vibrate.
Yet, when our car vibrates too much we know from the shaking that something is wrong. It could be out of alignment; it could be the shock absorbers are shot; it could be the engine mounts are bad; it could be the engine is misfiring.
A trained mechanic will be able to diagnose the problem based on the vibration signature. In this case, we intentionally want to eliminate the vibration, although we know the best we can do is minimize it.
Vibration is pervasive. In fact, it is challenging to find examples that are not related to vibration. The word vibration is a common English word that means motion in oscillation.
In a mechanical system, vibration can be viewed as a give-and-take (tug-of-war) between forces tending toward a balance. The forces are fighting each other, causing motion that seesaws back and forth, all the time trying to achieve equilibrium.
This simplistic explanation is developed in much more technical rigor in this Mechanical Vibration Analysis Uncertainties and Control book. We will learn that vibration occurs in a dynamic system that has at least two independent energy storage elements.
We will develop models for vibration starting with a mass — which stores kinetic energy — and a spring — which stores potential energy.
It is the interplay between the energies of dynamic systems that is at the root of vibration, even if we might not normally think about it this way.
We close these introductory remarks with a fact of life. Vibration is life.6 The absence of vibration is death. The more vibration, the more life; the less vibration, the less life.
We wish you, the reader, a healthy, meaningful, and happy life, something that can only happen if it is filled with vibration!
Another Vibration Book?
The decision that another engineering textbook is needed must be made with great humility. That we have come to such a conclusion is in no way meant to be a rejection of other books.
In fact, other books offer ideas and context that we do not. We have chosen to write this Mechanical Vibration Analysis Uncertainties and Control book in the format, content, and depth of description that we would have liked when we learned the subject for the first time.
The purpose of this textbook is to present comprehensive coverage of the fundamental principles of vibration theory, with discussions and examples of the applications of these principles to practical engineering problems.
In dealing with the subject of vibration, the engineer must also consider the effects of uncertainties in the analysis and methods of vibration control.
As such, this Mechanical Vibration Analysis Uncertainties and Control book includes the subjects of modeling of uncertainties and vibration control. Of course, the focus of this text is vibration, and specialized texts on randomness and control are available.
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There are many changes and additions to this fourth edition. The written word has been examined many times to make the Mechanical Vibration Analysis Uncertainties and Control book more readable and clear.
Derivations have been clarified and more details presented for completeness. New example problems and homework problems as well as new appendices on damping and MATLAB10 have been added.
These, taken together with other enhancements, have made this a new book. In rewriting this Mechanical Vibration Analysis Uncertainties and Control book our objective has been to present the subject in a clear and thorough way. We hope that we have succeeded.
A Special Note to Students
Like most things of meaning in life, the subject of vibration is not easy. Our goal in writing this textbook has been to help you learn the subject — but the book must be read and studied if the material is going to sink in.
Nothing beats working through the examples and solving the problems to conquer the subject of vibration. Going through challenging material and struggling to understand it can be frustrating, but they are necessary steps in learning.
Little would be gained if this Mechanical Vibration Analysis Uncertainties and Control book could be read once — like a novel — and fully absorbed without much thought. It is only through the process of grappling with fundamental concepts of vibration that you can gain a level of understanding that will make the subject meaningful.
Vibrations has many practical applications and we have tried to convey that sense throughout the Mechanical Vibration Analysis Uncertainties and Control book. Engineers, after all, work in the realworld, solving real problems that help real people.
It might seem that vibration is an abstract or theoretical discipline, especially seeing how much math there is here. Some of you may even be dismayed by the advanced level of math needed.
Recognizing the value of math as a cornerstone of engineering is an important message that we hope the reader takes away. As we progress through the Mechanical Vibration Analysis Uncertainties and Control book, we will rely on differential equations to model vibrating systems.
Elementary models built of discrete components (masses, springs, dampers) will be couched in terms of ordinary differential equations. Later models assuming continuous components (beams, shafts, rods) will be represented by partial differential equations.
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