Vibration is a common phenomenon observed in various natural and man-made systems. It refers to the repetitive back-and-forth or oscillatory motion of an object or system about an equilibrium position. Vibrations can occur in a wide range of scales, from microscopic particles to massive structures, and can be experienced in various forms, including mechanical, acoustic, and electromagnetic vibrations [1–16].
Vibrations can be classified into different types based on their characteristics and underlying mechanisms. Some common types include free vibrations, forced vibrations, damped vibrations, and resonance vibrations [17–26].
Free vibrations occur when a system is set into motion and left to oscillate without any external forces acting on it. This type of vibration is characterized by the natural frequency of the system, which is determined by its mass and stiffness properties [27–36].
Forced vibrations occur when an external force or excitation is applied to a system, causing it to vibrate at a frequency different from its natural frequency. This type of vibration can be periodic or non-periodic, and the response of the system depends on the characteristics of the forcing function and the properties of the system [37–46].
Damped vibrations involve the presence of damping forces that resist the motion of the system, gradually reducing its amplitude and bringing it to a state of equilibrium. Damping can arise from sources such as friction, air resistance, or energy-absorbing materials [47–55].
Resonance vibrations occur when a system is subjected to an external force or excitation at its natural frequency. This leads to a significant amplification of the vibrations and can result in excessive vibrations, which can be detrimental to the system if not properly controlled.
Understanding and analyzing vibrations are crucial in various scientific, engineering, and industrial applications. Engineers use vibration analysis to design structures that are resistant to vibrations, optimize machinery performance, and ensure the safety and reliability of systems. Additionally, researchers use vibration analysis to study the dynamic behavior of materials, characterize the properties of various systems, and develop techniques for vibration control and mitigation.
Forced-damped vibrations are a type of motion exhibited by mechanical systems that are subjected to external forces and also influenced by damping effects. These vibrations occur when a system is forced to oscillate due to the application of an external force, while simultaneously being damped by the presence of resistance or damping factors [56–66].
In a forced-damped vibration scenario, the system experiences an external force that can be periodic or non-periodic. The external force can arise from various sources, such as an applied force, vibrations from machinery, or external disturbances. The system responds to this force by oscillating around its equilibrium position [67–76].
Damping is another crucial factor that affects forced-damped vibrations. Damping refers to the dissipation of energy within the system, which opposes the motion and reduces the amplitude of vibrations over time. Different forms of damping can be present in a system, such as friction, fluid resistance, or energy-absorbing materials. The presence of damping affects the behavior of the system, gradually bringing it to a state of equilibrium and reducing the amplitude of the vibrations [77–86].
AC induction motors have widespread applications across diverse industrial sectors. They serve as fundamental components integral to various industrial processes, contributing significantly to the operation of machinery and systems in different industries.
The passage underscores the critical role of AC induction motors in powering machinery and equipment within industrial processes. The efficiency of these motors is identified as a crucial factor for ensuring the smooth operation of industrial processes.
The efficiency of AC induction motors is highlighted as pivotal for the seamless functioning of industrial operations. The motors are essential for driving machinery and equipment, and their reliable performance directly impacts the overall efficiency of industrial processes.
Reliability is emphasized as a paramount aspect of AC induction motors. The reliable performance of these motors is deemed essential for maintaining operational integrity in industrial settings. The passage stresses the critical need to ensure the continued reliability of these motors.
The passage introduces the concept of proactive maintenance, emphasizing the importance of detecting faults in AC induction motors early on. Detecting faults is identified as a key strategy for maintaining operational integrity, preventing performance issues, avoiding disruptions, and minimizing the potential for costly repairs.
The described method involves an integrated analysis of both electrical and vibration signals generated by the AC induction motor. Electrical signals, comprising voltages and currents from each phase, are considered alongside vibration signals, which include acceleration and velocity signals in different directions. This comprehensive analysis aims to provide a holistic understanding of the motor's condition.
Within the broader context of fault detection, the article narrows its focus to the specific identification of broken rotor faults. Broken rotor bars, and components within the motor's rotor assembly, are highlighted as critical potential faults. Detecting issues with rotor bars is stressed as crucial for preventing further damage and ensuring the continued efficient operation of the motor.