In a forced vibration system where the frequency remains constant and the amplitude increases, the amplitude of the response will also increase. Let's understand this phenomenon in more detail.
Forced vibration occurs when a system is subjected to an external periodic force or excitation at a specific frequency. The response of the system to this excitation depends on various factors, including the natural frequency of the system and the amplitude of the external force.
In a typical forced vibration scenario, when the frequency of the external force matches the natural frequency of the system, resonance can occur. Resonance is a condition where the system responds with maximum amplitude to the applied force. In this case, the system's response is primarily determined by the amplitude of the external force.
If the frequency of the external force remains constant but the amplitude of the force increases, the amplitude of the system's response will also increase. This is because the applied force has a stronger effect on the system due to the increased amplitude. As a result, the system's response will be larger in magnitude.
It's important to note that if the system operates in the linear range, the amplitude of the response will generally be directly proportional to the amplitude of the external force. However, there may be practical limits to how much the system can physically respond before encountering nonlinear effects or reaching its structural limitations.
In summary, in a forced vibration system with a constant frequency and increasing amplitude, the amplitude of the system's response will increase correspondingly due to the stronger effect of the larger external force.