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Application of heuristic methods to identification of the parameters of discrete-continuous models

Dawid Cekus Paweł Kwiatoń Michal Šofer Pavel Šofer
Bulletin of the Polish Academy of Sciences Technical Sciences | 2022 | 70 | 1 | e140150 | DOI: 10.24425/bpasts.2022.140150
Keywords discrete-continuous model experimental modal analysis optimialization; identification vibrations
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Abstract

The article presents the process of identifying discrete-continuous models with the use of heuristic algorithms. A stepped cantilever beam was used as an example of a discrete-continuous model. The theoretical model was developed based on the formalism of Lagrange multipliers and the Timoshenko theory. Based on experimental research, the theoretical model was validated and the optimization problem was formulated. Optimizations were made for two algorithms: genetic (GA) and particle swarm (PSO). The minimization of the relative error of the obtained experimental and numerical results was used as the objective function. The performed process of identifying the theoretical model can be used to determine the eigenfrequencies of models without the need to conduct experimental tests. The presented methodology regarding the parameter identification of the beams with the variable cross-sectional area (according to the Timosheno theory) with additional discrete components allows us to solve similar problems without the need to exit complex patterns.
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Authors and Affiliations

Dawid Cekus
1
ORCID: ORCID
Paweł Kwiatoń
1
ORCID: ORCID
Michal Šofer
2
ORCID: ORCID
Pavel Šofer
3
ORCID: ORCID
  1. Department of Mechanics and Machine Design Fundamentals, Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, 42-201 Częstochowa, Poland
  2. Department of Applied Mechanics, Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, 17. listopadu 15/2127, 708 33 Ostrava-Poruba, Czech Republic
  3. Department of Control Systems and Instrumentation, Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, 17. listopadu 15/2127, 708 33 Ostrava-Poruba, Czech Republic

The clamping selection method to reduce the vibration of large-size workpieces during the face milling process

Krzysztof J. Kaliński Marek A. Galewski Natalia Stawicka-Morawska Krzysztof Jemielniak Michał R. Mazur
Bulletin of the Polish Academy of Sciences Technical Sciences | 2024 | 72 | 2 | e148840 | DOI: 10.24425/bpasts.2024.148840
Keywords clamping selection indicator milling vibrations stiffness adjustment experimental modal analysis
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Abstract

The article introduces a method for selecting the best clamping conditions to obtain vibration reduction during the milling of large-size workpieces. It is based on experimental modal analysis performed for a set of assumed, fixing conditions of a considered workpiece to identify frequency response functions (FRFs) for each tightening torque of the mounting screws. Simulated plots of periodically changing nominal cutting forces are then calculated. Subsequently, by multiplying FRF and spectra of cutting forces, a clamping selection function (CSF) is determined, and, thanks to this function, vibration root mean square (RMS) is calculated resulting in the clamping selection indicator (CSI) that indicates the best clamping of the workpiece. The effectiveness of the method was evidenced by assessing the RMS value of the vibration level observed in the time domain during the real-time face milling process of a large-sized exemplary item. The proposed approach may be useful for seeking the best conditions for fixing the workpiece on the table.
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Authors and Affiliations

Krzysztof J. Kaliński
1
ORCID: ORCID
Marek A. Galewski
1
ORCID: ORCID
Natalia Stawicka-Morawska
1
ORCID: ORCID
Krzysztof Jemielniak
2
ORCID: ORCID
Michał R. Mazur
1
ORCID: ORCID
  1. Gdansk University of Technology, Faculty of Mechanical Engineering and Ship Technology, Institute of Mechanics and Machine Design,Gdansk, 80-233, Poland
  2. Warsaw University of Technology, Faculty of Mechanical and Industrial Engineering, Institute of Manufacturing Processes,Warsaw, 00-661, Poland

Experimental research on the vibration characteristics of canvas and primed canvas of paintings

Yulong Gao Pascal Ziegler Carolin Heinemann Eva Hartlieb Peter Eberhard
Archive of Mechanical Engineering | 2023 | vol. 70 | No 3 | 333-350 | DOI: 10.24425/ame.2023.146850
Keywords canvas primer vibration characteristics experimental modal analysis climate compensation
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Abstract

Paintings inevitably bear severe mechanical loads during transportation.Understanding the dynamic characteristics of paintings helps to avoid damage during transportation and to effectively slow down their aging.In this contribution, the vibration characteristics of canvas and primed canvas of paintings and their influencing factors are studied experimentally.For this reason, two dummy paintings with canvas in a common orientation and a tilted orientation are investigated, and an experimental setup using an excitation mechanism and a laser Doppler vibrometer is developed.In order to avoid changes of the modal parameters related to humidity or temperature, all experiments were conducted in a climate box.The modal parameters of dummy paintings are identified by means of experimental modal analysis.Also, the difference in modal properties of the two dummy paintings before and after applying the primer are compared.The identified modal parameters are used to reconstruct their eigenmodes.From the identified modal parameters a numerical model is derived, which is then compared to measurements.The comparison shows a good agreement, hence is a hint for the correctness of assuming a modal structure and the quality of the modal parameter identification.Lastly, with the help of the climate box, the influences of humidity and temperature on the eigenfrequencies of dummy paintings are studied.
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Bibliography

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Authors and Affiliations

Yulong Gao
ORCID: ORCID
Pascal Ziegler
ORCID: ORCID
Carolin Heinemann
ORCID: ORCID
Eva Hartlieb
ORCID: ORCID
Peter Eberhard
ORCID: ORCID

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