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categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
You must submit the Simulink file together with the output obtained.
The system shown below consists of two masses that can move horizontally and are coupled by
means of a spring. The mass m1 is also supported by two identical beam springs and is subjected
to frontal damping on its left by the air squeezed between mass and an anchored wall. Opposite
forces are applied on m1 and m2.
m₁
U₁
m2
the mathematical model of this mechanical system is given by the following differential equations:
\m₂y₂ = U₂ k₂ (1₂- y)
Where:
y1: displacement of m1.
v1: velocity of m1.
Y2: displacement of m2.
V2: velocity of m2.
You are given the following data:
m1 =
1 kg, m2 = 2kg
k1 =8 N/m, k2 = 13 N/m
c = 3 Ns/m,
u1 = a step input with size 7 N
u2= a step input with size 2 N
assume zero initial conditions
Using the above information, you are required to do the following:
a) Construct a Simscape model for the above system - showing all elements clearly labelled.
Measure y2 and v2 and display the output on a scope.
b) Create a Simulink model to solve for y2 and v2.
c) Write a MATLAB code to find y1 and y2
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