What is the primary risk of failing to manage resonance in mechanical systems?

The primary risk of failing to manage resonance in mechanical systems is amplified vibrations leading to system failure. Resonance occurs when a mechanical structure or system is subjected to vibrations at its natural frequency, causing these vibrations to build up significantly over time. This amplification can lead to excessive stress on components, ultimately resulting in fatigue, wear, and potential catastrophic failures. Effective management of resonance is critical to ensure the longevity and reliability of mechanical systems, as uncontrolled vibration can cause parts to loosen, break, or wear out much faster than they otherwise would. Understanding and mitigating resonance helps maintain the integrity of structures and their components in various applications.