Page 22 - Singiresu S. Rao-Mechanical Vibrations in SI Units, Global Edition-Pearson (2017)

PrEFACE 19
this chapter. Nonlinear vibration problems are governed by nonlinear differential equations and exhibit phenom-
ena that are not predicted or even hinted by the corresponding linearized problems. An introductory treatment of
nonlinear vibration, including a discussion of subharmonic and superharmonic oscillations, limit cycles, systems
with time-dependent coefficients, and chaos, is given in Chapter 13. The random vibration of linear vibration
systems is considered in Chapter 14. The concepts of random process, stationary process, power spectral density,
autocorrelation, and wide- and narrow-band processes are explained. The random vibration response of single- and
multidegree-of-freedom systems is discussed in this chapter.
Appendices A and B focus on mathematical relationships and deflection of beams and plates, respectively.
The basics of matrix theory, Laplace transform, and SI units are presented in Appendices C, D, and E, respectively.
Finally, Appendix F provides an introduction to MATLAB programming.

typical Syllabi

The material of the book provides flexible options for different types of vibration courses. Chapters 1 through 5,
Chapter 9, and portions of Chapters 6 constitute a basic course in mechanical vibration. Different emphases/orien-
tations can be given to the course by covering, additionally, different chapters as indicated below:

• Chapter 8 for continuous or distributed systems.
• Chapters 7 and 11 for numerical solutions.
• Chapter 10 for experimental methods and signal analysis.
• Chapter 12 for finite element analysis.
• Chapter 13 for nonlinear analysis.
• Chapter 14 for random vibration.
Alternatively, in Chapters 1 through 14, the text has sufficient material for a one-year sequence of two vibra-
tion courses at the senior or dual level.

Expected Course outcomes
The material presented in the text helps achieve some of the program outcomes specified by ABET (Accreditation
Board for Engineering and Technology):
• Ability to apply knowledge of mathematics, science, and engineering:
The subject of vibration, as presented in the book, applies the knowledge of mathematics (differential
equations, matrix algebra, vector methods, and complex numbers) and science (statics and dynamics) to
solve engineering vibration problems.
• Ability to identify, formulate, and solve engineering problems:
The numerous illustrative examples, problems for practice, and design projects help identify various
types of practical vibration problems and develop mathematical models, analyze, solve to find the re-
sponse, and interpret the results.
• Ability to use the techniques, skills, and modern engineering tools necessary for engineering practice:
∘ The application of the modern software, MATLAB, for the solution of vibration problems is illustrated
in the last section of each chapter. The basics of MATLAB programming are summarized in Appendix F.