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.