The differential equation for small-amplitude vibrations y(x, t) of a simple beam is given by Where ρ
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Where ρ = beam material density
A = cross-sectional area
I = area moment of inertia
E = Young€™s modulus
Use only the quantities ρ, E, and A to non-dimensionalize y, x, and t, and rewrite the differential equation in dimensionless form. Do any parameters remain? Could they be removed by further manipulation of the variables?
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The appropriate dimensionless variables are E PA ...View the full answer
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