Transverse vibrations of a rectangular plate on an elastic foundation based on the bimoment theory

Usarov M.K., Askarkhodjaev Sh.I., Usanov F.A., Усаров М. К., Аскарходжаев Ш. И., Усанов Ф. А., Usarov M.K., Askarkhodjaev Sh.I., Usanov F.A.

Mexanika muammolari jurnali · 2026-yil

Annotatsiya

The article considers the dynamic problem of transverse vibrations of a rectangular plate on an elastic foundation, with all edges fixed, under normal loads applied to its face surface, based on the bimoment theory of plates. Within the framework of the finite difference method, a procedure for the dynamic analysis of stresses and displacements of a plate on an elastic foundation has been developed. Numerical results are presented and compared with the results obtained for plates without an elastic foundation.

Maqola ma’lumotlari
MualliflarUsarov M.K., Askarkhodjaev Sh.I., Usanov F.A., Усаров М. К., Аскарходжаев Ш. И., Усанов Ф. А., Usarov M.K., Askarkhodjaev Sh.I., Usanov F.A.
JurnalMexanika muammolari jurnali
NashriyotМеханика ва иншоотлар сейсмик мустаҳкамлиги институти
ISSN2010-7250
Nashr sanasi2026-06-30
Jild12
Son2
Betlar47-59
TilIngliz
Ilmiy sohaFizika-matematika
Indeksga qo‘shilgan2026-08-26

Kalit so‘zlar

plate, elastic foundation, normal load, displacements, stresses, moments, bimoments, equations of motion, boundary conditions, finite difference method, пластина, упругое основание, нормальная нагрузка, перемещения, напряжения, моменты, бимоменты, уравнения движения, граничные условия, метод конечных разностей, plastinka, elastik asos, normal yuklama, siljishlar, kuchlanishlar, momentlar, bimomentlar, harakat tenglamalari, chegaraviy shartlar, chekli ayirmalar usuli

Ilmiy soha

Iqtibos keltirish

APAUsarov M.K., Askarkhodjaev Sh.I., Usanov F.A., Усаров М. К., Аскарходжаев Ш. И., Усанов Ф. А., Usarov M.K., Askarkhodjaev Sh.I., & Usanov F.A. (2026). TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY. Mexanika muammolari jurnali, 12(2), 47-59. https://www.pmjournal.uz/index/article/view/6
GOST (OAK)Usarov M.K. va b. TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY // Mexanika muammolari jurnali. – 2026. – T. 12, № 2. – P. 47-59.
MLAUsarov M.K., Askarkhodjaev Sh.I., Usanov F.A., Усаров М. К., Аскарходжаев Ш. И., Усанов Ф. А., Usarov M.K., Askarkhodjaev Sh.I., and Usanov F.A. “TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY.” Mexanika muammolari jurnali, 12(2), 47-59, 2026. https://www.pmjournal.uz/index/article/view/6
ChicagoUsarov M.K., Askarkhodjaev Sh.I., Usanov F.A., Усаров М. К., Аскарходжаев Ш. И., Усанов Ф. А., Usarov M.K., Askarkhodjaev Sh.I., and Usanov F.A. “TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY.” Mexanika muammolari jurnali, 12(2), 47-59 (2026). https://www.pmjournal.uz/index/article/view/6
HarvardUsarov M.K., Askarkhodjaev Sh.I., Usanov F.A., Усаров М. К., Аскарходжаев Ш. И., Усанов Ф. А., Usarov M.K., Askarkhodjaev Sh.I., and Usanov F.A (2026) ‘TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY’, Mexanika muammolari jurnali, 12(2), 47-59. https://www.pmjournal.uz/index/article/view/6
BibTeX
@article{usarovmk2026,
  title = {TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY},
  author = {Usarov M.K. and Askarkhodjaev Sh.I. and Usanov F.A. and Усаров М. К. and Аскарходжаев Ш. И. and Усанов Ф. А. and Usarov M.K. and Askarkhodjaev Sh.I. and Usanov F.A.},
  journal = {Mexanika muammolari jurnali},
  year = {2026},
  volume = {12},
  number = {2},
  pages = {47-59},
  url = {https://www.pmjournal.uz/index/article/view/6}
}

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