Zobrazeno 1 - 10
of 127
pro vyhledávání: '"Alemdar Hasanov"'
Publikováno v:
Mathematics in Engineering, Vol 6, Iss 1, Pp 137-154 (2024)
We present a new comprehensive mathematical model of the cone-shaped cantilever tip-sample interaction in Atomic Force Microscopy (AFM). The importance of such AFMs with cone-shaped cantilevers can be appreciated when its ability to provide high-reso
Externí odkaz:
https://doaj.org/article/03596baca6204b3592632ac132d70678
Autor:
Vladimir Romanov, Alemdar Hasanov
Publikováno v:
Journal of Inverse and Ill-posed Problems. 30:425-446
Publikováno v:
Journal of Inverse and Ill-posed Problems.
In this paper, we study the inverse problems of determining the unknown transverse shear force g ( t ) {g(t)} in a system governed by the damped Euler–Bernoulli equation ρ ( x ) u t t + μ ( x ) u t + ( r ( x ) u x
Autor:
Alemdar Hasanov
Publikováno v:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 380
We present a new mathematical model and method for identifying the unknown flexural rigidity r ( x ) in the damped Euler–Bernoulli beam equation ρ ( x ) w t t + μ ( x ) w t + ( r ( x ) w x x ) x x − ( T r ( x ) w x ) x = F ( x , t ) , ( x , t )
In this study, an inverse source problem of identifying an unknown spatial load f ( x , y ) in a system governed by the Kirchhoff plate equation u t t + D ▵ 2 u = g ( t ) f ( x , y ) , ( x , y , t ) ∈ Ω × ( 0 , T ) from available boundary obser
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fd1100a17a3b2172e566ce6ead3be92
https://aperta.ulakbim.gov.tr/record/236480
https://aperta.ulakbim.gov.tr/record/236480
Autor:
Alemdar Hasanov
Publikováno v:
Journal of Inverse and Ill-posed Problems. 29:81-91
This paper deals with an inverse coefficient problem of simultaneously identifying the thermal conductivity k ( x ) k(x) and radiative coefficient q ( x ) q(x) in the 1D heat equation u t = ( k ( x ) u x ) x - q ( x ) u u_{t}=
Publikováno v:
Journal of Inverse and Ill-posed Problems.
In this paper, we discuss the role of the damping term μ u t {\mu u_{t}} in unique determination of unknown spatial load F ( x ) {F(x)} in a damped Euler–Bernoulli beam equation u t t + μ u t + ( r ( x ) u x x ) x
Publikováno v:
Journal of Inverse and Ill-posed Problems
Journal of Inverse and Ill-posed Problems, De Gruyter, 2021, 29 (3), pp.317. ⟨10.1515/jiip-2021-2078⟩
Journal of Inverse and Ill-posed Problems, De Gruyter, 2021, 29 (3), pp.317. ⟨10.1515/jiip-2021-2078⟩
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff123225e503d02800cd42cc0fb12a1a
https://hal.archives-ouvertes.fr/hal-03402199
https://hal.archives-ouvertes.fr/hal-03402199
Publikováno v:
Journal of Inverse and Ill-posed Problems. 27:859-876
An inverse problem of identifying an unknown shear force g ( t ) {g(t)} on the inaccessible boundary x = l {x=l} in a system governed by the general form Euler–Bernoulli beam equation ρ ( x ) u t t + μ ( x ) u t + ( r
Autor:
Alemdar Hasanov, Hiromichi Itou
Publikováno v:
Applied Mathematics Letters. 87:141-146
This work is a further development of weak solution theory for the general Euler–Bernoulli beam equation ρ ( x ) u t t + μ ( x ) u t + r ( x ) u x x x x − ( T r ( x ) u x ) x = F ( x , t ) defined in the finite dimension domain Ω T ≔ ( 0 , l