Vibration of mechanical systems.pdf

This page intentionally left blank

Vibration of Mechanical Systems

This is a textbook for a ﬁrst course in mechanical vibrations. There are

many books in this area that try to include everything, thus they have

become exhaustive compendiums that are overwhelming for an under-

graduate. In this book, all the basic concepts in mechanical vibrations

are clearly identiﬁed and presented in a concise and simple manner with

illustrative and practical examples. Vibration concepts include a review of

selected topics in mechanics; a description of single-degree-of-freedom

(SDOF) systems in terms of equivalent mass, equivalent stiffness, and

equivalent damping; a uniﬁed treatment of various forced response prob-

lems (base excitation and rotating balance); an introduction to systems

thinking, highlighting the fact that SDOF analysis is a building block

for multi-degree-of-freedom (MDOF) and continuous system analyses

via modal analysis; and a simple introduction to ﬁnite element analy-

sis to connect continuous system and MDOF analyses. There are more

than 60 exercise problems and a complete solutions manual. The use of

MATLAB R

software is emphasized.

Alok Sinha is a Professor of Mechanical Engineering at The Pennsylvania

State University (PSU), University Park. He received his PhD degree in

mechanical engineering from Carnegie Mellon University. He has been

a PSU faculty member since August 1983. His areas of teaching and

research are vibration, control systems, jet engines, robotics, neural net-

works, and nanotechnology. He is the author of Linear Systems: Optimal

and Robust Control .

He has served as a Visiting Associate Professor of Aeronautics and

Astronautics at MIT, Cambridge, MA, and as a researcher at Pratt

& Whitney, East Hartford, CT. He has also been an associate editor

of ASME Journal of Dynamic Systems, Measurement, and Control .At

present, he serves as an associate editor of ASME Journal of Turboma-

chinery and AIAA Journal .

Alok Sinha is a Fellow of ASME. He has received the NASA cer-

tiﬁcate of recognition for signiﬁcant contributions to the Space Shuttle

Microgravity Mission.

VIBRATION OF MECHANICAL

SYSTEMS

Alok Sinha

The Pennsylvania State University