Tasodifiy qo‘zg‘alishlarda o‘yiq plastinkaning harakat differensial tenglamasini aniqlash masalasi
Ushbu ishda tasodifiy qo‘zg‘alishlar ta’siridagi gisterezis tipidagi elastik-dissipativ xarakteristikaga
ega o‘yiq plastinkaning harakat differensial tenglamasini tuzish masalasi o‘rganilgan. Plastinka
materialining dissipativ xossalari Pisarenko-Boginich gipotezasi asosida tavsiflangan. Tadqiqotda
to‘g‘ri to‘rtburchak plastinka va undan ajratilgan to‘g‘ri to‘rtburchak shakldagi o‘yiq qaralgan.
O‘yiqning tomonlari plastinka tomonlariga parallel deb qabul qilingan. Shuningdek, o‘yiqning
plastinka tekisligidagi joylashuvi ixtiyoriy bo‘lishi mumkinligi nazarda tutilgan. Ushbu geometrik
va fizik model asosida plastinkaning harakat tenglamasi shakllantirilgan. Model tasodifiy tashqi
ta?sirlar hamda materialning ichki dissipativ xususiyatlarini hisobga oladi. Olingan tenglama elastik
dissipativ sistemalarning dinamikasini tadqiq etish uchun nazariy asos bo‘lib xizmat qiladi.
1. K. D. Mali and P. M. Singru, “Determination of the Fundamental Frequency of Perforated Rectangular
Plates: Concentrated Negative Mass Approach for the Perforation,” Advances in Acoustics and Vibration,
vol. 2013, Art. no. 972409, pp. 1–6, 2013. doi: 10.1155/2013/972409.
2. K. Ghonasgi, K. Bakal, and K. D. Mali, “A Parametric Study on Free Vibration of Multi-Perforated
Rectangular Plates,” Procedia Engineering, vol. 144, pp. 60–67, 2016. doi: 10.1016/j.proeng.2016.05.007.
3. O. R. Barry and E. Y. Tanbour, “Resonant Frequencies of Perforated Plates with Rectangular Slots,”
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science,
vol. 232, no. 7, pp. 1218–1230, 2018. doi: 10.1177/0954406216683974.
4. Junfeng Liu, Jingjun Lou, Kai Chai, Qingchao Yang, Jiawen Chu, “Vibration Analysis of Internally
Perforated Annular Plate with Discontinuous Boundary Conditions,” International Journal of Structural
Stability and Dynamics, 2023, 24(19). DOI: 10.1142/S0219455424502183.
5. Serhii Kharchenko, Sylwester Samborski, Farida Kharchenko, Andrzej Mitura, Jakub Pa’snik, Izabela
Korzec, “Identification of the Natural Frequencies of Oscillations of Perforated Vibrosurfaces with Holes
of Complex Geometry,” Materials, 2023, 16, 5735. doi: 10.3390/ma16175735.
6. Ying Meng, Xiaoye Mao, Hu Ding, Liqun Chen, “Nonlinear Vibrations of a Composite Circular Plate with
a Rigid Body,” Applied Mathematics and Mechanics, 44(6), 857–876, 2023. doi: 10.1007/s10483-023-3005-8.
7. Bastian Saez, Viviana Meruane, Ruben Fernandez, Erick I. Saavedra Flores, “Numerical Optimization and
Experimental Validation of Finite Perforated Cellular Panels for Vibration Reduction,” Materials, 2025,
18(24), 5620. doi: 10.3390/ma18245620.
8. Kaiyuan Tian, YilongWang, Bo Fang, Dengqing Cao, Kaiping Yu, Xutao Mei, “A Novel Unified Dynamical
Modeling of Perforated Plates Based on Negative Mass Equivalence,” Mechanical Systems and Signal
Processing, 2025. doi: 10.1016/j.ymssp.2025.112723.
9. Kyeong-Hoon Jeong, Myung-Jo Jhung, “Free Vibration Analysis of Partially Perforated Circular Plates,”
Procedia Engineering (X International Conference on Structural Dynamics, EURODYN 2017). doi:
10.1016/j.proeng.2017.09.230.
10. M. A. Ðûæêîâ, Ë. Ì. ßêîâåíêî, Â. Á. Äóñìàòîâ, “Íåëèíåéíûå çàäà÷è äèíàìèêè âèáðîçàùèòíûõ
ñèñòåì.” Ïàâëîâñêèé-Ê.: Òåõíèêà, 1997. 204 ñ.
11. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, 2nd ed., New York, NY, USA:
McGraw–Hill, 1959.
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