Advanced Book on Mechanical Vibrations of Sphere, Hemisphere and Bell

In summary, the conversation is about recommendations for an advanced book on mechanical vibrations, specifically focusing on vibrations of a sphere, hemisphere, and bell. The suggested books are L. Meirovitch's Principles and Techniques of Vibrations and Jimin He and Zhi-Fang Fu's Modal Analysis, which both cover the necessary background for modeling these objects. Another book, titled Graduate Texts in Physics, provides further information on modal analysis for bronze bells.
  • #1
csopi
82
2
Hi,

Can anybody recommend an advanced book concerning mechanical vibrations? I'm especially interested in vibrations of a spehere, hemispehere and bell.

Thank you!
 
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  • #2
csopi said:
Hi,

Can anybody recommend an advanced book concerning mechanical vibrations? I'm especially interested in vibrations of a spehere, hemispehere and bell.

Thank you!

In general, structural dynamics books will give you the background needed to model these objects.

Try: L. Meirovitch. Principles and techniques of vibrations, Prentice Hall, 1997.

Also: Jimin He, Zhi-Fang Fu. Modal analysis, Butterworth-Heinemann, 2001.
There you will find an example of a bronze bell modal analysis.
 
  • #3
Last edited by a moderator:

What topics are covered in the book?

The book covers advanced concepts and theories related to mechanical vibrations of spheres, hemispheres, and bells. It includes topics such as natural frequencies, mode shapes, forced vibrations, and damping effects.

Who is the intended audience for this book?

This book is best suited for graduate students and researchers in the field of mechanical engineering, specifically those interested in the study of vibrations and oscillations.

What makes this book unique compared to other books on mechanical vibrations?

This book provides a comprehensive and in-depth analysis of the vibrations of spheres, hemispheres, and bells, which is not commonly found in other books on mechanical vibrations. It also includes advanced topics and practical examples to help readers better understand the concepts.

Are there any prerequisites for reading this book?

Yes, readers are expected to have a basic understanding of mechanical engineering principles, particularly in the areas of dynamics and vibrations. Some knowledge of advanced mathematics, such as calculus and differential equations, would also be helpful.

Can this book be used for practical applications?

Yes, this book covers several practical applications of mechanical vibrations, such as analyzing the behavior of musical instruments and studying the effects of vibrations on various structures. It also includes examples and exercises that can help readers apply the concepts to real-world situations.

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