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    An Analysis Of Resonant Frequencies For A Hanging Chain Of Variable Masses

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    1976_WelshS_THS_0001185.pdf (12.15Mb)
    Author
    Welsh, Stevan
    Advisor
    Noel Bowman; Alfred Murray; Arthur Westwell
    Date of Issue
    1976-04-01
    Metadata
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    URI
    https://scholars.carroll.edu/handle/20.500.12647/3488
    Title
    An Analysis Of Resonant Frequencies For A Hanging Chain Of Variable Masses
    Type
    thesis
    Abstract
    The thesis problem finds its roots in wave mechanics. Ex- amine a hanging chain of vibrating rods, each of length r, as illustrated on the previous page. Although the individual lengths of the rods are the same the individual densities might not be. However, assume that the densities of all of the rods are evenly- distributed. Thia way the kinetic and potential energy terms will have the same general form, only the mass terms will vary in magnitude, f ran rod to rod. Given the above, the object is to determine the resonant frequencies of the system under certain assumptions.
    Degree Awarded
    Bachelor's
    Semester
    Spring
    Department
    Mathematics, Engineering & Computer Science
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    • Mathematics, Engineering and Computer Science Undergraduate Theses

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