UDK 519.62
ANALYSIS OF SHEAR FLEXIBLE BEAM WITH BOTH CLAMPED ENDS BY RITZ METHOD
V. A. Nesterov
Siberian State Aerospace University named after academician M. F. Reshetnev 31, Krasnoyarsky Rabochy Av., Krasnoyarsk, 660014, Russian Federation Е-mail: misternester@gmail.com
Deformation, buckling and modal analysis of shear flexible clamped beam are considered. Analysis is fulfilled by Ritz method. The bending deflection of a beam is approximated by the first beam function. The results of calculation are compared to the original finite element solution in which transverse shear strain is appointed as the basic cinematic variable. The admissibility of approximate solution by Ritz method for analysis of composite beams and sandwich beams with rather high stiffness of score is shown.
clamped beam, finite element method, Ritz method, transverse shear strains.
References

1.Vasil'ev V. V. Mekhanika konstruktsiy iz kompozitsionnykh materialov (Mechanics of composite structures). Moscow, Mashinostroenie, 1988. 272 p.
2.Nesterov V. A. Vestnik SibGAU. 2011, no. 2 (35), p. 48–35.
3.Nesterov V. A. Kompleks programm dlya polucheniya osnovnykh matrits i vektorov teorii MKE dlya konechnykh elementov balki, plastiny i obolochki, podatlivykh pri transversal'nom sdvige: svidetel'stvo o gosudarstvennoy registratsii programm dlya EVM (Complex programs for basic theory of matrices and vectors FEM for finite element beams, plates and shells, compliant with transverse shear: a certificate of state registration of computer programs), number 2010611594 / 26.02.2010. 6 p.
4. Nesterov V. A. A. s. o gosudarstvennoy registratsii programm dlya EVM № 2010611781. Issledovaniye NDS, ustoychivosti i sobstvennykh kolebaniy trekhsloynoy balki s podatlivym zapolnitelem s pomoshch'yu MKE pri uchete transversal'nogo sdviga v kachestve uzlovogo neizvestnogo (A. p. on state registration of computer programs number 2010611781. Study VAT, sustainability and natural oscillations sandwich beams with pliable filler using FEM for transverse shear registered as a node in the unknown), no. 2010611781. 09.03.2010. 8 p.
5. Nesterov V. A. Vestnik SibGAU. 2012. no. 3 (43), p. 56–62.
6. Nesterov V. A. Vestnik SibGAU. 2013. no. 1 (47), p. 68–74.


Nesterov Vladimir Anatolyevich – Candidate of Engineering Sciences, associate professor, associate professor of the Department of Computer modeling, Siberian State Aerospace University named after academician M. F. Reshetnev. E-mail: misternester@gmail.com