The differential equation for small-amplitude vibrations y(x, t) of a simple beam is given by = 0 d'y Ət ² PA where +EI O¹y əx4 p= beam material density A cross-sectional area /= area moment of inertia

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The differential equation
for small-amplitude
vibrations y(x, t) of a
simple beam is given by
PA + EI¹y = 0
əx4
where
p=beam material
density
A = cross-sectional area
/= area moment of inertia
E = Young's modulus
dy
Ət²
Use only the quantities p, E, and A to
nondimensionalize y, x, and t, and
rewrite the differential equation in
dimensionless form.
Transcribed Image Text:! Required information The differential equation for small-amplitude vibrations y(x, t) of a simple beam is given by PA + EI¹y = 0 əx4 where p=beam material density A = cross-sectional area /= area moment of inertia E = Young's modulus dy Ət² Use only the quantities p, E, and A to nondimensionalize y, x, and t, and rewrite the differential equation in dimensionless form.
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