Abstract
This paper is aimed at undergraduate students of physics, engineering and mathematics, where a methodology for mechanical vibration analysis of a multi degree of freedom (DOF) excited by an harmonic force in the time and frequency domain is presented. The Arduino microcontroller is used as an acquisition system and low-cost MEMS accelerometers for the instrumentation of the system. System of multi DOF are studied in a great number of problems in mechanical sciences, however its experimental study is not always present in the courses due to the high costs and complexity. These problems are overpassed with the study proposed in this work. Besides, the application presented has an interface with several disciplines in undergraduation and graduation level. The method proposed can be easy implemented and the results obtained had good precision and are in agreement with the literature.
Highlights
The vibration phenomenon is seen in many everyday situations and is present in speaking, vision, audition and other activities involving human relation due to mechanical waves as well as digital communication through electromagnetic waves [1, 2]
The objective of this paper is to present the use of the Arduino microcontrollers for mechanical vibration analysis as done in [3] and [4], but with a study on a multi-degree of freedom (DOF) mechanical system, a three story shear building
The mechanical system studied is widely used in dynamic of structures with several stories, where each story is represented for a one-DOF massspring system [16,17,18,19,20]
Summary
The vibration phenomenon is seen in many everyday situations and is present in speaking, vision, audition and other activities involving human relation due to mechanical waves as well as digital communication through electromagnetic waves [1, 2]. A mechanical system can have infinite of degree of freedom (DOF), but for a more simple analysis they are modeled as systems with a finite number DOF. The experimental setup needed to measure the natural frequency can be expensive and the procedures technically difficult To overcome these problems, in this paper the use of the Arduino microcontroller model Mega2560 Rev. together with low-cost MEMS sensors for measuring mechanical vibrations is presented, which is a cheap and simple alternative for an acquisition system. E1304-2 On mechanical vibration analysis of a multi degree of freedom system based on arduino and MEMS accelerometers [10] a WSN is presented for Structural Health Monitoring (SHM) where the network is tested in a modal analysis in a cantilever beam, the results obtained are compared with the conventional wired vibration measurement system. The mechanical system studied is widely used in dynamic of structures with several stories, where each story is represented for a one-DOF massspring system [16,17,18,19,20]
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