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