TY - JOUR AU - Lelkes, János AU - Bak, Bendegúz Dezső AU - Kalmár-Nagy, Tamás TI - Vibrations and energy distribution in inhomogeneous rods with elastic and viscous boundary conditions JF - SCIENTIFIC REPORTS J2 - SCI REP VL - 14 PY - 2024 IS - 1 PG - 16 SN - 2045-2322 DO - 10.1038/s41598-024-52860-4 UR - https://m2.mtmt.hu/api/publication/34562518 ID - 34562518 N1 - Export Date: 19 February 2024 Correspondence Address: Lelkes, J.; Department of Fluid Mechanics, Műegyetem rkp. 3., Hungary; email: lelkes.janos@gpk.bme.hu Funding details: Nemzeti Kutatási, Fejlesztési és Innovaciós Alap, NKFIA, NKFI K 137726 Funding text 1: This work has been supported by the Hungarian National Research, Development and Innovation Fund under contract NKFI K 137726. The research reported in this paper and carried out at BME has been supported by the ÚNKP-22-3 New National Excellence Program of the Ministry for Culture and Innovation from the source of the National Research, Development and Innovation Fund. The authors acknowledge the help of Mr. Ádám Zsiros with the initial, as well as the reviewers for their useful comments. Funding text 2: The research reported in this paper is part of project no. TKP-6-6/PALY-2021. Project no. TKP-6-6/PALY-2021 has been implemented with the support provided by the Ministry of Culture and Innovation of Hungary from the National Research, Development and Innovation Fund, financed under the TKP2021-NVA funding scheme. AB - Functionally graded materials have broad engineering applications including mechanical engineering, electronics, chemistry, and biomedical engineering. One notable advantage of such materials is that their stiffness distribution can be optimized to avoid stress concentration. A novel approach for solving the equations describing the longitudinal vibration of functionally graded rods with viscous and elastic boundary conditions is proposed. The characteristic equation of the system is derived for the solution of the undamped case for the constant stiffness rod. Then, a homotopy method is applied to compute the eigenvalues and mode shapes of graded rods for viscoelastic boundary conditions. The changes of the eigenvalues and mode shapes as function of the damping parameters are investigated. The optimal damping of the system is computed. It is shown that the qualitative behavior depends on the relation between the actual damping and the optimal damping of the system. The energy density distribution of graded rods is also discussed. An energy measure, the mean scaled energy density distribution is introduced to characterize the energy distribution along the rod in the asymptotic time limit. The significance of such a measure is that it reveals how the energy tends to distribute along the rod. It is shown that the energy distribution can be manipulated by changing the damping parameters. Qualitative changes depending on the relation between the actual damping and the optimal damping are highlighted. LA - English DB - MTMT ER - TY - JOUR AU - Bak, Bendegúz Dezső AU - Rochlitz, Róbert Zoltán AU - Kalmár-Nagy, Tamás TI - Energy transfer mechanisms in binary tree-structured oscillator with nonlinear energy sinks JF - NONLINEAR DYNAMICS J2 - NONLINEAR DYNAM VL - 111 PY - 2023 SP - 9875 EP - 9888 PG - 14 SN - 0924-090X DO - 10.1007/s11071-023-08318-9 UR - https://m2.mtmt.hu/api/publication/33734704 ID - 33734704 AB - We study a binary tree-structured multi-degree-of-freedom nonlinear oscillator with impulsive and continuous excitations. The response of this model is studied for excitations that are applied to the largest masses. It is shown how choosing the mass of the smallest blocks influences the response of the system regarding the dissipation and how efficient targeted energy transfer is realized in the system. The simplified frequency energy plot is introduced as a means of analyzing the response of multi-degree-of-freedom systems for impulsive excitations. For continuous excitations, it is shown that the smallest masses (nonlinear energy sinks) are active only inside specific nonlinear frequency bands when the excitation amplitude is sufficiently high. LA - English DB - MTMT ER - TY - CHAP AU - Bak, Bendegúz Dezső AU - Rochlitz, Róbert Zoltán AU - Kalmár-Nagy, Tamás AU - Kristóf, Gergely ED - Vad, János TI - Mechanistic turbulence: Targeted energy transfer in a multi-degree-of-freedom nonlinear oscillator T2 - Proceedings of Conference on Modelling Fluid Flow (CMFF'22) PB - Budapest University of Technology and Economics, Department of Fluid Mechanics CY - Budapest SN - 9789634218814 PY - 2022 SP - 357 EP - 364 PG - 8 UR - https://m2.mtmt.hu/api/publication/33108564 ID - 33108564 LA - English DB - MTMT ER - TY - JOUR AU - Chen, Jian-en AU - Sun, Min AU - Zhang, Wei AU - Li, Shuang-bao AU - Wu, Rui-qin TI - Cross-scale energy transfer of chaotic oscillator chain in stiffness-dominated range JF - NONLINEAR DYNAMICS J2 - NONLINEAR DYNAM PY - 2022 PG - 19 SN - 0924-090X DO - 10.1007/s11071-022-07737-4 UR - https://m2.mtmt.hu/api/publication/33042327 ID - 33042327 LA - English DB - MTMT ER - TY - JOUR AU - Chen, Jian En AU - Theurich, Timo AU - Krack, Malte AU - Sapsis, Themistoklis AU - Bergman, Lawrence A. AU - Vakakis, Alexander F. TI - Intense cross-scale energy cascades resembling “mechanical turbulence” in harmonically driven strongly nonlinear hierarchical chains of oscillators JF - ACTA MECHANICA J2 - ACTA MECH VL - 1 PY - 2022 SP - 1 EP - 17 PG - 17 SN - 0001-5970 DO - 10.1007/s00707-022-03159-w UR - https://m2.mtmt.hu/api/publication/32740141 ID - 32740141 LA - English DB - MTMT ER - TY - BOOK AU - Fitschen, Jürgen TI - Hydrodynamic Characterization of Heterogeneities in Aerated Stirred Tank Reactors PB - Cuvillier Verlag CY - Göttingen PY - 2022 SP - 103 SN - 9783736976894 UR - https://m2.mtmt.hu/api/publication/33190115 ID - 33190115 LA - English DB - MTMT ER - TY - GEN AU - Jansen, Rick TI - Numerical investigations on the hydrodynamics of bacteria-laden flow in the rotor-stator spinning disc reactor PY - 2022 PG - 134 UR - https://m2.mtmt.hu/api/publication/33597187 ID - 33597187 N1 - Eindhoven University of Technology LA - English DB - MTMT ER - TY - JOUR AU - Köhserli, Mehmet AU - Várkonyi, Péter László TI - The Effect of Connecting Bridges on Vortex-induced Vibration of Skyscrapers JF - ÉPÍTÉS-ÉPÍTÉSZETTUDOMÁNY J2 - ÉPÍTÉS-ÉPÍTÉSZETTUDOMÁNY VL - 50 PY - 2022 IS - 1-2 SP - 1 EP - 16 PG - 16 SN - 0013-9661 DO - 10.1556/096.2021.00019 UR - https://m2.mtmt.hu/api/publication/32658376 ID - 32658376 N1 - Export Date: 5 May 2022 Correspondence Address: Várkonyi, P.L.; Department of Mechanics, K II. 61, Muegyetem rkp. 3, Hungary; email: varkonyi.peter@epk.bme.hu LA - English DB - MTMT ER - TY - GEN AU - SANDRA, G DEEB TI - MEASURING AND MODELING TURBULENCE USING PARTICLE IMAGE VELOCIMETRY AND SMOOTHED PARTICLE HYDRODYNAMICS; APPLICATION TO EXTERNAL FLOWS PY - 2022 PG - 100 UR - https://m2.mtmt.hu/api/publication/34036011 ID - 34036011 LA - English DB - MTMT ER - TY - JOUR AU - M., Bazazzadeh AU - M., Hassani AU - M., Dehghan Manshadi TI - Prediction of splitting airfoils horizontal spacing effects on loss distribution in an array distortion generator based on comparison of RANS, URANS and DES JF - Journal of Solid and Fluid Mechanics J2 - Journal of Solid and Fluid Mechanics VL - 11 PY - 2021 IS - 5 SP - 1 EP - 13 PG - 13 SN - 2251-9475 UR - https://m2.mtmt.hu/api/publication/32774552 ID - 32774552 LA - Persian DB - MTMT ER - TY - GEN AU - Kristi, SHTEMBARI TI - Study of turbomachinery flow using Large-Eddy Simulation PY - 2020 PG - 56 UR - https://m2.mtmt.hu/api/publication/31834105 ID - 31834105 N1 - Polytechnic University of Turin LA - English DB - MTMT ER - TY - THES AU - Bak, Bendegúz Dezső TI - Reduction of hierarchical multi-scale systems: percolation, traveling salesman problem and mechanistic turbulence PB - Budapesti Műszaki és Gazdaságtudományi Egyetem PY - 2019 SP - 87 UR - https://m2.mtmt.hu/api/publication/31018234 ID - 31018234 LA - English DB - MTMT ER - TY - JOUR AU - Kalmár-Nagy, Tamás AU - Amann, A. AU - Kim, D. AU - Rachinskii, D. TI - The Devil is in the details: Spectrum and eigenvalue distribution of the discrete Preisach memory model JF - COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION J2 - COMMUN NONLIN SCI NUMER SIMULAT VL - 77 PY - 2019 SP - 1 EP - 17 PG - 17 SN - 1007-5704 DO - 10.1016/j.cnsns.2019.04.023 UR - https://m2.mtmt.hu/api/publication/30710176 ID - 30710176 N1 - Cited By :1 Export Date: 25 September 2019 Correspondence Address: Rachinskii, D.; Department of Mathematical Sciences, The University of Texas at Dallas, 800 W. Campbell Rd., United States; email: dmitry.rachinskiy@utdallas.edu Cited By :3 Export Date: 22 September 2021 Correspondence Address: Rachinskii, D.; Department of Mathematical Sciences, 800 W. Campbell Rd., United States; email: dmitry.rachinskiy@utdallas.edu Funding details: National Science Foundation, NSF, 1413223, DMS-1413223 Funding details: National Sleep Foundation, NSF Funding details: Budapesti Műszaki és Gazdaságtudományi Egyetem, BME Funding details: Wallace H. Coulter Department of Biomedical Engineering, BME Funding details: Emberi Eroforrások Minisztériuma, EMMI Funding text 1: The authors thank M. Arnold for a stimulating discussion of the results. D. R. acknowledges the support of NSF through grant DMS-1413223. The research by T. K.-N. is supported by the Higher Education Excellence Program of the Ministry of Human Capacities in the frame of Water Science & Disaster Prevention research area of Budapest University of Technology and Economics (BME FIKP-VÍZ). Funding text 2: The authors thank M. Arnold for a stimulating discussion of the results. D. R. acknowledges the support of NSF through grant DMS-1413223 . The research by T. K.-N. is supported by the Higher Education Excellence Program of the Ministry of Human Capacities in the frame of Water Science & Disaster Prevention research area of Budapest University of Technology and Economics (BME FIKP-VÍZ). LA - English DB - MTMT ER -