Method for Tuning the Parameters of Active Force Reducing Building Vibrations—Numerical Tests

Andrzej Dymarek, Tomasz Dzitkowski, Krzysztof Herbuś, Piotr Ociepka, Andrzej Niedworok and Łukasz Orzech
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Andrzej Dymarek: Faculty of Mechanical Engineering, Silesian University of Technology, 44-100 Gliwice, Poland
Tomasz Dzitkowski: Faculty of Mechanical Engineering, Silesian University of Technology, 44-100 Gliwice, Poland
Krzysztof Herbuś: Faculty of Mechanical Engineering, Silesian University of Technology, 44-100 Gliwice, Poland
Piotr Ociepka: Faculty of Mechanical Engineering, Silesian University of Technology, 44-100 Gliwice, Poland
Andrzej Niedworok: Laboratory of Applied Tests, KOMAG Institute of Mining Technology, 44-101 Gliwice, Poland
Łukasz Orzech: Laboratory of Applied Tests, KOMAG Institute of Mining Technology, 44-101 Gliwice, Poland

Energies, 2021, vol. 14, issue 24, 1-17

Abstract: The paper formulates a method of active reduction of structure vibrations in the selected resonance zones of the tested object. The method ensures reduction of vibrations of the selected resonance zones by determining the parameters of the active force that meets the desired dynamic properties. The paper presents a method for determining the parameters of the active force by reducing the vibrations of the structure in its resonance zones to a given vibration amplitude. For this purpose, an analytical form was formulated, which will clearly define the dynamic properties of the tested object and the force reducing the vibrations in the form of a mathematical model. The formulated mathematical model is a modified object input function, which in its form takes into account the properties of the active force reducing the vibrations. In such a case, it is possible to use the methods of mechanical synthesis to decompose the modified characteristic function into the parameters of the system and the parameters of the force being sought. In the formulated method, the desired dynamic properties of the system and the vibration reducing force were defined in such a way that the determined parameters of the active force (velocity-dependent function) had an impact on all forms of natural vibrations of the tested system. Based on the formalized method, the force reducing the vibrations of the four-story frame to the desired displacement amplitude was determined. Two cases of determining the active force reducing the vibrations to the desired vibration amplitude of the system by modifying the dynamic characteristics describing the object together with the active force were considered. For both cases, the system’s responses to the oscillation generated by harmonic force of frequencies equal to the first two forms of natural vibrations of the tested system were determined. In order to verify the determined force reducing the vibrations of the object and to create a visualization of the analyzed phenomenon, the building structure dynamics were analyzed with the use of PLM Siemens NX 12 software. The determined force parameters were implemented into the numerical model, in which the tested system was modelled, and the response time waveforms were generated with regard to the considered story. The generated waveforms were compared with the waveforms obtained in the formalized mathematical model for determining the active force reducing the vibrations. The vibrations of the tested numerical model were induced by the kinematic excitation with the maximum amplitude equal to 100 mm, which corresponds to the vibration amplitude during the earthquake with a force equal to level 5 on the Richter scale.

Keywords: structure vibrations; resonance zones; numerical model; numerical model; building (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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