The control of the response to tonal excitations or to broadband stochastic disturbances of a stiffened cylinder is investigated through the use of a Tuned Vibrating Absorber (TVA). In particular, the study
considered both a purely passive device (Mechanical) and a semi-active one with shunt circuit (Electro-Mechanical) to evaluate the efficiencies and differences

E. Turco

G. Petrone

M. Pisano

P. Gardonio

S. De Rosa

English

Archivio della ricerca - Università degli studi di Napoli Federico II

 Italian Association of Aeronautics and Astronautics XXVI International Congress 31st August – 3rd September 2021  On-line event hosted by the Tuscany AIDAA Section in Pisa    DESIGN OF A TUNED VIBRATION ABSORBER (TVA) FOR APPLICATIONS IN TRANSPORT ENGINEERING  M. Pisano1*, G. Petrone1, E. Turco2, S. De Rosa1, P. Gardonio2  1 PASTA-Lab (Laboratory for Promoting experiences in Aeronautical STructures and Acoustics),  Department of Industrial Engineering - Aerospace Section, Università degli Studi di Napoli "Federico II",  via Claudio 21, 80125 Naples, Italy  2 Dipartimento Politecnico di Ingegneria e Architettura (DPIA), University of Udine, via delle Scienze, 208, 33100 Udine, Italy  * marco.pisano4@studenti.unina.it         ABSTRACT The control of the response to tonal excitations or to broadband stochastic disturbances of a stiffened cylinder is investigated through the use of a Tuned Vibrating Absorber (TVA). In particular, the study considered both a purely passive device (Mechanical) and a semi-active one with shunt circuit (Electro-Mechanical) to evaluate the efficiencies and differences. 1 INTRODUCTION Noise can both annoy and have potentially harmful effects on passengers but can also lead to damage and failure of aircraft components. In fact, lightweight structures, such as the aeronautical ones, are characterized by significant vibrations and acoustic radiation problems and hence the adoption of a mechanical and/or control treatment, new material, or control device is needed to mitigate vibrations in structures [1]. Vibration control solution can be classified in three categories with respect to the external energy supply: i) passive control devices and treatments, which aim is to modify the response of the system to make it less sensitive to external excitation; ii) active control devices, which require an external source of power to work; iii) semi - active control devices, which update their parameters with environmental or working changing conditions. Both passive and semi-active solutions do not inject energy into the hosting system [2]. In this paper several numerical analyses, and in particular tonal and broadband optimization [3], have been performed for two different classes of TVA (mechanical and electro-mechanical), different number of devices and for different parameters. The devices have been applied on a stiffened cylinder. 2        NUMERCIAL INVESTIGATION The structural analyses of the stiffened cylinder were performed using NX NASTRAN solver to obtain Modal Parameters and Frequency Response Functions (FRF). The FRFs of the cylinder were obtained also in MATLAB, by importing NX NASTRAN modal analysis results of the cylinder, using the Modal Formulation and Mobility-Impedance procedures. Furthermore, the latter one, allows to totally control TVAs parameters and for this reason it has been the most used. Different analyses were performed, using a constant additional mass value (5% of total weight) but a different number of devices. This mass value has been divided for the number of the devices used to perform all the analyses and the best results have been obtained in the case of using 16 devices. The structural parameters of the host structure and its model developed in commercial software FEMAP are reported in Table 1 and in Fig. 1. Design of a Tuned Vibration Absorber (TVA) for  Marco Pisano                                        applications in transport engineering 2 Length, [mm] 2500 Radius, [mm] 500 Stringer section, 5 series [mm x mm] 10x10 Frame section, 6 series [mm x mm] 20x10 Thickness of panels, [mm] 2 Table 1 – Geometrical parameters of the host structure for TVA application    3      TONAL OPTIMIZATION With the tonal optimization, the device is tuned at a specific frequency which can be either a resonance target frequency or an off-resonance target frequency. In any case, to perform the tonal optimization, with both device classes (mechanical and electro-mechanical) , the following procedure has been adopted:  • Upload the Modal Analysis result in Matlab of the plain structure; • Use the actual configuration of TVAs to study the kinetic energy variation, at the interested frequency, with the change of critical damping ratio of the device (𝜁𝑇𝑉𝐴) parameter; This procedure has been used for all TVA configurations (2-4-8-16-32 devices) and at specific frequencies of interest (80 Hz, 89 Hz -resonance frequency-, 93 Hz, 97 Hz -resonance frequency-, 105 Hz). The results obtained, by using 16 devices, at resonance target frequencies (89,34 Hz and 97,9 Hz) for mechanical and electro-mechanical (E-M TVA) devices are reported in Figures 2 and 3, respectively. For the E-M TVA, in particular, different analyses have been performed for different values of the mechanical damping.   Figure 2 - Tonal optimization results obtained at 89.34 Hz with M-TVA and E-M TVA  Figure 1 – FE model of the stiffened cylinder Design of a Tuned Vibration Absorber (TVA) for  Marco Pisano                                        applications in transport engineering 3  Figure 3 - Tonal optimization results obtainet at 97.9 Hz with M-TVA and E-M TVA  3  BROADBAND OPTIMIZATION In case of Broadband optimization, the energy content within a specific frequency content is controlled. In this application, two different bands have been analyzed : 70-110 Hz and 75-115 Hz. The procedure adopted to perform this study is almost the same with respect to the previous case. The only differance concerns the variable to be investigated. In fact, in this case, the mean integral value of the kinetic energy is studied with the change of the 𝜁𝑇𝑉𝐴 value of the actual TVA configuration used. The results obtained, by using 16 devices, for the 70-110 Hz and 75-115 Hz bands are respectively reported in Figs. 4 and 5.   Figure 4 - Broadband optimisation results obtained in band 70–110 Hz with M-TVA and E-M TVA Design of a Tuned Vibration Absorber (TVA) for  Marco Pisano                                        applications in transport engineering 4  Figure 5 - Broadband optimization results obtainet in band 75 – 115 Hz with M-TVA and E-M TVA in the configuration of 16 devices 4        CONCLUSION From the observation of the numerical results it can be observed a similar behaviour of M-TVA and E-M TVA when applied on the host structure. The main difference is that the M-TVA is a passive device that does not need any supply energy (i.e. no additional weight for the external power supply).. On the other hand, E-M TVA are semi-active devices and so they do not introduce energy into the system (as in active vibration control), but they anyway need a power sypply for the electrical part of the shunt and are reliable devices. Furthermore, actual technological improvements allow to produce high-performance devices at low cost and with small weight and make them more attractive to this kind of applications. Even because, with electrical control it is possible to change the characteristic parameters of E-M TVA to fit the device to different enviromental and structural conditions. ACKNOWLEDGMENTS The authors acknowledge the support of the Italian Ministry of Education, University and Research (MIUR) through the project DEVISU, funded under the scheme PRIN-2107 – grant agreement No. 22017ZX9X4K006.  REFERENCES  [1]  C. R. Fuller, J. P. Maillard, M. Mercadal and H. Von Flotov, Control of aircraft interior noise using globally detuned vibration absorbers, J. Sound Vib. 203 (1997) 745-761 [2]  E. Turco, P. Gardonio, Sweeping shunted electro-magnetic tuneable vibration absorber: Design and implementation, J. Sound Vib. 407 (2017) 82-105 [3]  Michele Zilletti, Stephen J.Elliott and Emiliano Rustighi, Optimisation of dynamic vibration absorbers to minimise kinetic energy and maximise internal power dissipation, J. Sound Vib. 331 (2012) 4093-4100 

Design of a tuned vbration absorber (TVA) for applications in transport engineering

https://www.iris.unina.it/bitstream/11588/867391/1/AIDAA2021_paper_Pisano.pdf

Design of a tuned vbration absorber (TVA) for applications in transport engineering

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