CAD Analysis Vibration HW

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University Of Denver *

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3820

Subject

Mechanical Engineering

Date

Dec 6, 2023

Type

DOCX

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2

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CAD Analysis Vibration HW 02/15/17 In this setup, a single guitar string is restrained on both ends. Restraining the string allows it to reach fundamental frequency, which is 1 half wavelength along the length of the string. The setup will utilize beam elements for the string as it is long and thin. One end will be fixed in the radial, axial, and circumfirencal directions, while the other end is fixed in only the radial and circumfirential directions. On the free end, a variable force will be applied to observe the change in fundamental frequency on the string (shown below). The material “Plain Carbon Steel” is applied to the string along with the properties listed below. These properties will also be used with the analytical calculations. String Length =0.349 m String Diameter =0.5 mm Material Density = 7800 kg/m 3 a) Using Tensile Static analysis, find at what force (in newtons) the string will break at. (solidworks screenshot). b) In increments of 5 N, find the frequency starting at 0 N and going up until you reach the force which will break the string (the force you found in part a) Record in a table with 1-2 solidworks screenshots c) Analytical Solutions for each increment (of 5 N) above, using this equation (show a table with 1-2 sample calculations)
Where: μ = Linear density of the string Τ = Tensile force on the string L = Free vibrational length of the string n = frequency harmonic d) Compare simulated with analytical with percent difference. Discuss results
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