Mexanika muammolari jurnali Том 12 № 2 (2026) · с. 47-59

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.

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Аннотация

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.

plateelastic foundationnormal loaddisplacementsstressesmomentsbimomentsequations of motionboundary conditionsfinite difference method

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APA 7 
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. (2026). TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY. Mexanika muammolari jurnali, 12(2), 47-59.
GOST R 7.0.5 
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. TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY // Mexanika muammolari jurnali. 2026. Т. 12. № 2. С. 47-59.
BibTeX 
@article{m.k.2026,
  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.},
  title   = {TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY},
  journal = {Mexanika muammolari jurnali},
  year    = {2026},
  volume  = {12},
  number  = {2},
  pages   = {47-59}
}
RIS 
TY  - JOUR
AU  - Usarov M.K.
AU  - Askarkhodjaev Sh.I.
AU  - Usanov F.A.
AU  - Усаров М. К.
AU  - Аскарходжаев Ш. И.
AU  - Усанов Ф. А.
AU  - Usarov M.K.
AU  - Askarkhodjaev Sh.I.
AU  - Usanov F.A.
TI  - TRANSVERSE VIBRATIONS OF A RECTANGULAR PLATE ON AN ELASTIC FOUNDATION BASED ON THE BIMOMENT THEORY
JO  - Mexanika muammolari jurnali
PY  - 2026
VL  - 12
IS  - 2
SP  - 47
EP  - 59
ER  -