Vibration Theory

Vibration theory studies how objects or systems oscillate or move back and forth around a central position. When an object is disturbed—like a tuning fork, a bridge under wind, or a building during an earthquake—it vibrates at specific frequencies called natural frequencies. These vibrations depend on the object's properties, such as mass and stiffness. Understanding vibration theory helps us predict, control, and utilize these motions, ensuring the safety and efficiency of structures and machines, from car engines to skyscrapers. It combines physics and mathematics to analyze how energy moves through different systems during oscillation.