MAGNOLIA: MAGNetO-eLastIc beAm

To download the data set of a magneto-elastic system composed of a clamped beam interacting with a permanent magnet in a mono-stable configuration with hardening behavior:

https://forms.gle/o8XTcQZe5BiNo9PU7

Description

The current structure consists of a magneto-elastic system composed of a clamped beam interacting with a permanent magnet in mono-stable configurations with hardening behavior. The experimental setup is composed of a cantilever aluminum beam with 300 mm x 19 mm x 3.2 mm. The structure has a small steel mass attached to the free end of the beam and a neodymium magnet with a 2 mm gap to the mass.

A small bolt with four masses (nuts) was placed in the middle of the beam to simulate small structural variations. Each mass has 2 grams.

The equipment, sensors, and actuators used for the experimental tests are:

Modal Shop Shaker 2004E

Polytec OFV-525/-5000-S modular laser vibrometer

Dytran load cell model 1022V (IEPE force sensor)

Three PCB IEPE Accelerometers

m+p VibPilot acquisition system

The shaker was attached 50 mm distant from the clamp. Velocity was measured through the laser vibrometer in the free end of the beam. Three accelerometers were placed in: the driving point, the position of the bolt and the four masses, and in the free end of the beam.

Each experiment generated a mat file with the variables recorded during the modal tests. Table 1 shows the variables included in each file with the respective description.

Four different input signals were used to characterize the baseline condition of the structure ("healthy" state): chirp, random noise, sine, and stepped sine excitation:

Chirp input from 20 to 50 Hz, with 4096 samples and input levels of: 0.01, 0.09, 0.10, 0.11, 0.12, 0.13, 0.14 and 0.15 V. Each test was repeated 50 times in order to check repeatability

Random noise input band-pass filtered from 10 to 420 Hz, with 4096 samples and input levels of: 0.01, 0.05, 0.10, 0.11, 0.12, 0.13, 0.14 and 0.15 VRMS. Each test was repeated 50 times in order to check repeatability

Sine input with a frequency of 20.5 Hz, with 81920 samples and input levels of: 0.01, 0.09, 0.10, 0.11, 0.12, 0.13, 0.14 and 0.15 V

Stepped sine input from 10 to 40 Hz with steps of 0.5 Hz and total duration of 249856 samples using input levels of: 0.01, 0.05, 0.10, 0.11, 0.12, 0.13, 0.14 and 0.15 V

The description of the files of these experiments is presented in Table 2. The character "0pXY" denotes Volts' input level, where "XY" represents the digits after the floating-point.

The masses were gradually removed from a total of 4 masses to simulate a structural variation. Table 3 shows the structural states simulated in the system, while the figure below exhibits a view of the bolt and nuts in the magneto-elastic system.

For the damage detection, only two signals were used to excite the nonlinear beam:

Chirp input from 20 to 50 Hz, with 4096 samples and input levels of: 0.01, 0.09, 0.10, 0.11, 0.12, 0.13, 0.14 and 0.15 V. Each test was repeated 50 times in order to check repeatability

The description of the files of these experiments is presented in Table 4. The character "0pXY" denotes Volts' input level, where "XY" represents the digits after the floating-point.

Authors

Sidney Bruce Shiki

Samuel da Silva

How to cite

The data are still available for non-commercial research under the following terms: (i) the SHM Lab at UNESP/Ilha Solteira should be acknowledged as the source of the data; (ii) in publications, relevant publications by members of the SHM Lab at UNESP/Ilha Solteira should be cited; (iii) this benchmark should be cited as UNESP-MAGNOLIA.

This dataset was used in these papers:

Villani, Luis G.G. , da Silva, Samuel, Cunha, Americo, Todd, Michael D. Damage detection in an uncertain nonlinear beam based on stochastic Volterra series: An experimental application, Mechanical Systems and Signal Processing, Volume 128, Pages 463-478, 2019 https://doi.org/10.1016/j.ymssp.2019.03.045

Shiki, Sidney B.; da Silva, Samuel; TODD, Michael D. On the application of discrete-time Volterra series for the damage detection problem in initially nonlinear systems. Structural Health Monitoring, v. 16, n. 1, p. 62-78, 2017 https://doi.org/10.1177%2F1475921716662142

Tahara, Lucas Zanovello, A study of the influence of nonlinear behavior on experimental modal analysis, M.Sc. in Mechanical Engineering; São Paulo State University, Ilha Solteira/SP, Brazil, 2019, http://hdl.handle.net/11449/183481

Shiki, Sidney Bruce. Application of Volterra series in nonlinear mechanical system identification and in structural health monitoring problems. PhD Thesis in Mechanical Engineering; São Paulo State University, Ilha Solteira/SP, Brazil, March 2016, http://hdl.handle.net/11449/137761,

If you are using a LaTeX Editor, you can cite the papers above using these BibTeX citations:

@article{VILLANI2019463,
title = "Damage detection in an uncertain nonlinear beam based on stochastic Volterra series: An experimental application",
journal = "Mechanical Systems and Signal Processing",
volume = "128",
pages = "463 - 478",
year = "2019",
issn = "0888-3270",
doi = "https://doi.org/10.1016/j.ymssp.2019.03.045",
url = "http://www.sciencedirect.com/science/article/pii/S0888327019302250",
author = "Luis G.G. Villani and Samuel {da Silva} and Americo Cunha and Michael D. Todd",
}

@article{shiki2017application,
  title={On the application of discrete-time Volterra series for the damage detection problem in initially nonlinear systems},
  author={Shiki, Sidney B and da Silva, Samuel and Todd, Michael D},
  journal={Structural Health Monitoring},
  volume={16},
  number={1},
  pages={62--78},
  year={2017},
  publisher={SAGE Publications Sage UK: London, England}
  url = "https://doi.org/10.1177/1475921716662142",
}

@mastersthesis{Tahara2019,
  title={A study of the influence of nonlinear behavior on experimental modal analysis},
  author={Tahara, Lucas Zanovello},
  year={2019},
    school ={Universidade Estadual Paulista (UNESP)}
      note         = {M.Sc. in Mechanical Engineering}
  url = "http://hdl.handle.net/11449/183481",
}

@phdthesis{shiki2016application,
  title={Application of Volterra series in nonlinear mechanical system identification and in structural health monitoring problems},
  author={Shiki, Sidney Bruce},
  year={2016},
    school ={Universidade Estadual Paulista (UNESP)}
      note         = {Ph.D. in Mechanical Engineering}
  url = "http://hdl.handle.net/11449/137761",
}

License

Creative Commons Attribution-NonCommercial-ShareAlike (CC-BY-NC-SA):

A creative commons license that bans commercial use and requires you to release any modified works under this license.

Funding