I took Vibrations as an elective in my undergraduate curriculum. It was not required at that time, but the course that I took was a Senior elective/graduate course that was very difficult. I struggled to get the concepts at that time. The official textbook for the course was Thomson's "Theory of Vibrations with Applications," 2nd edition, a very difficult book for a neophyte. However, I noticed that the professor carried around a book entitled "Applied Mechanical Vibrations," by David H. Hutton. I called McGraw-Hill and they kindly sent me a copy of the book, before I even paid for it (the pre-online world). It was an excellent book, explaining the basic concepts clearly, particularly in setting up a model of a vibrations problem. It also provided a brief but effective review of solving the typical first and second order ordinary differential equations encountered in our homework problems. Without Hutton's book, I would not want to think about what my final grade might have been. This is an excellent book for any engineering student to have in his library if he wants a book that provides the information that an undergraduate needs in a Vibrations course. Over 20 years later, I must say that the Thomson book still sucks!!!
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