Metadata (abstracts and keywords) for the articles in the journal
Nikitin A. V., Kovalenko M. D. SEMI-STRIP BEND WITH THE FREE LONGITUDINAL EDGES AT WHICH END FACE THE MOMENT OF DEFLECTION AND THE GENERALIZED TRANSVERSAL FORCE ARE SET. PRECISE SOLUTION OF A BOUNDARY VALUE PROBLEM // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2014. № 4(22). p. 193-203
Author(s):
Nikitin A. V., Kovalenko M. D.
Index of UDK:
539.3
DOI:
Title:
SEMI-STRIP BEND WITH THE FREE LONGITUDINAL EDGES AT WHICH END FACE THE MOMENT OF DEFLECTION AND THE GENERALIZED TRANSVERSAL FORCE ARE SET. PRECISE SOLUTION OF A BOUNDARY VALUE PROBLEM
The well known boundary value problem for the semi-strip, the long sides of which are fixed , ie displacement is equal to zero.And at the end face the normal strain given . In the present paper we give an exact solution of the problem . It is constructed in the form of expansions on the Fadlе – Papkovich functions. However, the expansions coefficients are not the solution of the infinite algebraic equations system. We determine they using the biorthogonal systems of functions. Therefore, the solutions are exact.
The contact details of authors:
1. Kovalenko, Mikhail Denisovich Dr. Sci. Phys. & Math., Professor, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow
2. Nikitin, Andrey Vitalevich Postgraduate student, Departament of Mathematical Analysis, I. Yakovlev Chuvash State Pedagogical University, Cheboksary