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Spatial models and methods for calculating multi-story buildings under longitudinal seismic impacts | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 01 آبان 1405 اصل مقاله (1.93 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.33338.3043 | ||
| نویسندگان | ||
| Makhamatali Koraboyevich Usarov1؛ Dilshod Komil ugli Shamsiev1؛ Yodgor Khurramov* 2؛ Bobur Kamalov1 | ||
| 1Institute of Mechanics and Seismic Stability of Structures named after M.T. Urazbaev of the Academy of Sciences of the Republic of Uzbekistan, 40 Durmon Yuli Street, 100125, Tashkent, Uzbekistan | ||
| 2TIIAME National Research University, Tashkent, Uzbekistan Kori Niyazi street 39 Kori Niyazi street | ||
| چکیده | ||
| Longitudinal seismic vibrations of box-type multistory buildings are studied with a spatial continual model: the building is a thick orthotropic plate described by the bimoment theory and is coupled to a slab foundation embedded in a compliant soil. The main contribution, replacing the rigid base of earlier plate models, is this building--foundation--soil formulation: reduced moduli and density follow from the wall--slab geometry, the equations of motion are completed by contact conditions at both interfaces, and the undamped\ problem is solved by an explicit finite-difference scheme. For 16-story buildings the first natural frequency is 1.73--1.95~Hz ($T_1=0.51$--0.58~s), of the same order as the Eurocode~8 estimate for wall buildings, which is used as a reference value; time histories and frequency responses are given; at $k_c=0.2$, $\nu_0=3$~Hz the peak horizontal\ roof displacement is 4.5--5.0~cm, considerably larger than the 2.2--2.5~cm given by an undamped fixed-base one-dimensional model. | ||
| کلیدواژه‌ها | ||
| Multistory building؛ bimoment theory؛ thick orthotropic plate؛ longitudinal seismic vibration؛ soil--structure interaction؛ finite-difference method | ||
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آمار تعداد مشاهده مقاله: 10 تعداد دریافت فایل اصل مقاله: 9 |
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