The Use of Matlab Routines for Teaching Simgle-Degree-Of-Freedom Mass-Spring Vibration Systems

Objective: The objective of this study is to present a conceptual and mathematical review of conventional mechanical vibration problems involving a mass-spring system with one degree of freedom. Theoretical Framework: The theoretical framework considered is based on the conventional mathematical formulation of vibration problems with one degree of freedom, including systems without damping and with damping, as well as free systems and forced systems. Method: The methodology adopted for this research involves the use of simplified computational implementations, which were returned from the Matlab programming language. Results and Discussion: The results of this research include a significant contribution to the teaching and learning of mathematically demanding disciplines, in which, in many circumstances, undergraduate students have difficulty not only in understanding, but mainly in visualizing the physical phenomenon in question. Research Implications: This proposal may contribute additionally to the context of a wider range of computational implementations to be developed in the broad area of ​​engineering, always favoring the teaching and learning aspect of the students involved. Originality/Value: The value of the work is directly related to the possibility of readers reproducing different and varied results, from simple manipulations of the input data of each proposed computational code, as a consequence of these being fully available in the appendix.