Multiple Degree of Freedom Vibrations User Interface Development

Multiple Degree of Freedom (MDOF) vibrations is found in many cases of vibration phenomenon. The evaluation of the vibration is important for structural stability and fatigue investigation. However, the evaluation often requires a complicated calculation step due to the complex system that makes the process is not straightforward and time-consuming. This paper aims to provide a Graphical User Interface (GUI) that can be used to analyze the vibration of the MDOF system with two, three, and four degrees of freedom. The system is simplified by mass-spring-damper elements to model the interaction of components in the industry. The algorithm is developed using an open-source computational programming language named GNU Octave. The GUI is used to ease the user to simulate the vibration response based on given initial parameters. The GUI also provides features to calculate the natural frequencies and mode shapes of the system and present them on the spectrum. The algorithm is verified in the previous study to establish the simulation result. Based on the result, the amplitude of the time-domain displacement reaches a precise value as the reference. It is proven by the displacement amplitude of the first and second mass of the 2 DOF system are 0.05 m and 0.06 m. The calculation of the natural frequency also proved by the value of the first, second, and third natural frequency of the 3 DOF system which are 64.89 rad/s, 108.13 rad/s, and 281.06 rad/s respectively. Moreover, the mode shape shows a proportional value compared to the related study. It can be inferred that the proposed GUI is verified and ready to use to evaluate the vibration of the MDOF system.