MDP311
Mechanical Vibrations
Fall 2023
Experiment no (5)
Experiment Name: Tuned Vibration Absorber
Student Name: Mariam Osama Ahmed Eissa
Student ID: 2100396
Program : Design
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Introduction:
A tuned vibration absorber is a passive device designed to reduce the
amplitude of vibrations in a primary structure by introducing a
secondary system that resonates at the excitation frequency. Through
the principle of resonance, the absorber system dynamically dampens
the vibrations of the primary structure, thereby reducing its overall
response.
Readings and Calculations:
E = 200 × 109 Pa
I = 2.392 × 10-12 m4
Mblock = 61 gm
Mbeam = 74 gm
74
Mtotal = 61 +
8
= 0.07025 𝐾𝑔
fn = 23.26 Hz , f1 = 15.15 Hz , f2 = 31.45 Hz
For Tuned Absorber ( Fn = Fn1 = Fn2) :
fn =
1
2𝜋
√
23.26 =
r1 =
𝑓1
𝑓𝑛
3𝐸𝐼
𝑚𝐿3
1
2𝜋
√
3×200 × 109 ×2.392 × 10−12
0.07025 × 𝐿3
= 0.6513, r2 =
𝑓2
𝑓𝑛
, L = 9.85cm ≈ 10cm
= 1.352
r1×r2 = 0.881
•
This inaccuracy is due to the relatively high resolution of the scale
(1 gm) and the approximated placement of the masses.
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