Modeling and Optimization of Mass and Spring Based Vibration String Using Modal Analysis and Imperialist Competition Optimization Algorithm Methods

Simulating the mechanical behavior of filaments is of interest in many fields, such as designing a method for quality control of filaments in textile engineering. Various methods have been proposed to simulate a string structure. The mass, spring, and damper model is a conventional physics-based method that has attracted the attention of many researchers due to its rapid simulation and greater accuracy. The purpose of this paper is to present a physical model to simulate the vibrational behavior of a monofilament. This model, which is based on mass and stiffness matrices, plays an essential role in sensitivity analysis and predicting dynamic behavior. First, a system for a realistic simulation of the transverse vibration of the string is presented using a mass, spring and damper model. Then, the model parameters are determined using modal analysis and imperialist competitive algorithm. The vibration of the string was recorded at all points with a high-speed camera, and video processing is done to extract the free decays. Finally, the monofilaments are simulated and compared with their actual results to confirm the model parameters. The results show that the optimized model has the ability to predict the vibrational behavior of monofilaments with an error of less than 12.3%. According to the error values, it can be stated that the results of the modal analysis were more accurate