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Vibration

physical science Maturity 7-9 Next article →

Vibration is defined as oscillatory motion around an equilibrium point. In mechanics, this refers to a repetitive back-and-forth movement. Vibrations can be deterministic, meaning their oscillations can be characterized precisely, such as a pendulum. They can also be random, where oscillations are analyzed statistically, like a tire moving on gravel. While some vibrations are useful, such as a loudspeaker cone or a tuning fork, many are undesirable. Unwanted vibrations in engines or electric motors waste energy and create noise. Engineers often work to minimize these through careful mechanical design.

Drum vibration mode21
Drum vibration mode21

There are several distinct types of vibration based on how they start. Free vibration, or natural vibration, occurs when a system is set in motion by an initial input. A common example is hitting a tuning fork and letting it ring. The system vibrates at its natural frequencies until it damps down to stillness. Forced vibration occurs when a time-varying disturbance is applied to a system. This disturbance can be periodic, transient, or random. Examples include a washing machine shaking from an imbalance or a building vibrating during an earthquake.

Mass spring
Mass spring

Damping is the process that eventually brings a vibrating system to rest. When the energy of a system is gradually dissipated by friction or other resistances, it is called damped vibration. The intensity or frequency of the motion reduces until the system reaches its equilibrium position. A practical example of this is a vehicle's suspension being controlled by a shock absorber.

Mass spring damper
Mass spring damper

To ensure products are durable, engineers perform vibration testing. They introduce a forcing function into a structure using a device called a shaker. The object being tested is known as the device under test, or DUT. Testing helps researchers examine a device's fatigue life, resonant frequencies, or noise output. For low frequencies, typically less than 100 Hz, servohydraulic shakers are used. For higher frequencies between 5 Hz and 2000 Hz, electrodynamic shakers are employed.

Forced Vibration Response
Forced Vibration Response

The history of vibration testing shows significant technological progress. In the early days, vibration machine controllers were limited to sine motion. This meant testers could only perform sine tests, which involve one frequency at a time. Later, sophisticated analog and digital controllers allowed for random control. Random testing provides all frequencies at once, which more closely replicates real-world environments like a bumpy road. Modern standards, such as MIL-STD-810G released in late 2008, even call for multiple exciter testing to improve accuracy.

Square wave frequency spectrum animation
Square wave frequency spectrum animation

Scientists use the mass-spring-damper model to understand the physics of these movements. This model acts as a simple harmonic oscillator. In a system without damping, vibration is a constant exchange of energy. When a spring is stretched, it stores potential energy. Once released, that potential energy transforms into kinetic energy, which is the energy of motion. The mass then decelerates as it compresses the spring, transferring kinetic energy back into potential energy.

Mathematical analysis can predict how a system will react to changes in mass or stiffness. For a simple mass-spring system, the undamped natural frequency is determined by the mass and the spring's stiffness. This explains why a fully loaded truck feels "softer" than an empty one; the increased mass reduces the natural frequency. In industrial settings, vibration analysis is used for predictive maintenance. By analyzing the vibration spectrum, technicians can detect faults in rotating equipment like pumps or gearboxes. This helps reduce equipment downtime and maintenance costs.

Damped Free Vibration
Damped Free Vibration
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🖼️ Images & Media (16)
File:Drum vibration mode21.gif
Drum vibration mode21.gif
File:suspension.jpg
suspension.jpg
File:Mass spring.svg
Mass spring.svg
File:Simple harmonic oscillator.gif
Simple harmonic oscillator.gif
File:Mass spring damper.svg
Mass spring damper.svg
File:Damped Free Vibration.png
Damped Free Vibration.png
File:Forced Vibration Response.png
Forced Vibration Response.png
File:Square wave frequency spectrum animation.gif
Square wave frequency spectrum animation.gif
File:Frequency response example.png
Frequency response example.png
File:2dof model.gif
2dof model.gif
File:beam mode 1.gif
beam mode 1.gif
File:beam mode 2.gif
beam mode 2.gif

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