MECHANICAL VIBRATIONS

Mechanical vibration is a ubiquitous by-product of motion, of the dynamics of solid and semi-solid things subjected to forces(s), ranging from earthquakes, to rocket propulsion, to finger-drumming on a kitchen table. Engineers and physicists study vibration in detail primarily to forestall the dangerous and destructive effects of unintended motions within engines and machines. Bioengineers and physicians have adapted the principles to study and prevent vibratory impacts to bones and tissues as a result of mechanical impacts or repeated applications of forces to parts of the human body -- most particularly to healing parts, such as resolving broken bones.

While textbook writers tend to characterize vibration as a negative, unwanted consequence of operating any mechanism with moving parts, there are some machines or machine parts -- such as shock absorbers, fly-fishing tackle, graphite golf-club shafts, and soil-sieve testing apparatuses -- whose vibratory qualities are desirable, sought, optimized, even maximized through design.

Of the treatments of the subject reviewed her

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function of the material's natural properties (like elasticity) and the force (perhaps only gravity) that acts upon that body. An harmonic motion or vibration occurs when the body reciprocates (repeatedly moves up and down or side-to-side) past the static equilibrium point; it is precisely the type of motion that can be described with the circular functions, sines and cosines. Since the circular functions repeat every 2p radians, any harmonic cycle of motion is completed when the angular frequency times the period of the oscillation = 2p. Systems with Multiple Degrees of Freedom A pendulum (or any weight) hanging below another pendulum or weight, when oscillating, will act with two independent displacements, which would require two equations of motions solved simultaneously for resolution, and which system of mechanical components is considered a two-degrees-of-freedom problem. Many real-world mechanical engineering problems involve three, four, and even more degrees of freedom. The complexity (and differences between) problems involving only two degrees of freedom are demonstrated side-by-side by Seto's Problem 38 concerning damped free vibration of a two-pendulum system and his Problem 39 for damped forced vibration i
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Approximate Word count = 3412
Approximate Pages = 14 (250 words per page)

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