Origins and Developments in Mechanics and Vibration 5 History of Vibration of Continuous Systems 8 Discrete and Continuous Systems 11 Vibration Problems 15 Vibration Analysis 16 Excitations 17 Harmonic Functions 18 Representation of Harmonic Motion 18 Definitions and Terminology 21 Periodic Functions and …
Vibrations Overview of Vibrations Examples of practical vibration problems Vibration is a continuous cyclic motion of a structure or a component Generally engineers try to avoid vibrations because vibrations have a number of unpleasant effects • Cyclic motion implies cyclic forces Cyclic forces are very damaging to materials
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However mechanical vibrations can transmit for long distances and by very circuitous routes through the structure of a building sometimes resurfacing hundreds of feet from the source A related problem is the isolation of vibration sensitive machines from the normally occurring disturbances in a building car or bus traffic slamming doors foot traffic elevators… …
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Forced Mechanical Vibrations The study of vibrating mechanical systems continues The main exam ple is a system consisting of an externally forced mass on a spring with dampener Both undamped and damped systems are studied A num ber of physical examples are given which include the following clothes dryer cafe door pet door bicycle trailer Forced …
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This section provides materials from a lecture session on vibration of multi degree of freedom systems Materials include a session overview assignments lecture videos a recitation video recitation notes and a problem set with solutions
The test object is exposed to a certain vibration level according to a procedure specified by national and Internatrionai standards To find the dynamic properties of a structure the re sponse to a vibrational force Is of interest rather than the actual vibration level This concept is found for instance in determination of the ability to transmit or damp vibra tions or In the description of
Prof Carmen Muller Karger PhD Figures and content adapted from Textbook Mechanical Vibrations Singiresu S Rao Mechanical Vibration Pearson sixth edition Learning Objectives •Define Free Vibrations •Derive the equation of motion of a single degree of freedom system
Most of us are familiar with vibration a vibrating object moves to and fro back and forth A vibrating object oscillates We experience many examples of vibration in our daily lives A pendulum set in motion vibrates A plucked guitar string vibrates Vehicles driven on rough terrain vibrate and geological activity can cause massive vibrations in the form of earthquakes …
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Vibration is the mechanical oscillations of an object about an equilibrium point The oscillations may be regular such as the motion of a pendulum or random such as the movement of a tire on a gravel road The study of health effects of vibration require measures of the overall pressure waves vibration energy generated by the vibrating equipment or structure Vibration enters …