Document Type

Thesis - Open Access

Award Date


Degree Name

Master of Science (MS)


Mechanical Engineering

First Advisor

Hamid R. Hamidzadeh


Whereas the pioneers of vibration investigations sought the understanding of the natural phenomena and the derivation of mathematical models to better describe the vibration of physical systems, the researchers in this century have strived to apply the knowledge gained in the past to make new discoveries, so that vibration analysis can be applied to practical engineering problems. Hence, today's engineers have become aware of the fact that many engineering systems are subjected to vibrations either because of external excitations (forced vibrations) or because of the system's ability to store energy as a result of its elastic properties (free vibrations). Being able to design so vibrational effects are minimized has become a fundamental asset in today's engineering applications. As a result, the vibration field has been able to grow and become more specialized. Vibration analysis is now capable of playing a very important role in a wide range of engineering applications such as the design of machines, engines, foundations, control systems and structures. For instance, an engineer can use vibration knowledge to enhance the design of vital structures (such as bridges, nuclear reactors, and buildings), particularly when earth movement is a concern. Since World War II, the results obtained from the vibration studies of cylindrical structures have successfully been used but are not limited to improving the design of submarines, pipelines, missile boosters and compressor shells. A mechanical engineer. can apply vibration concepts to design efficient damping treatments used to minimize the vibration effects of many machinery components. The unbalances in rotating machinery can create oscillations. that bring about the failure of machine components due to fatigue. In other cases, these unbalances may create ground waves. or excessive noise which can produce discomfort to humans. In either case, the problem can be considered by using vibration analysis. The few examples mentioned above are indications of the important role the theory of vibrations has played and will continue to play in the engineering discipline.

Library of Congress Subject Headings


Elastic solids

Elastic waves

Strains and stresses

Elastic rods and wires



Number of Pages



South Dakota State University