Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


ISSN: 2073-5499    

Index catalog Press of Russia: 13109    

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Metadata (abstracts and keywords) for the articles in the journal

Abrukov D. A. BEND OF A RECTANGULAR PLATE WITH THE FREE LONGITUDINAL EDGES AT WHICH END FACES THE GENERALIZED TRANSVERSAL FORCES AND MOMENTS OF DEFLECTION ARE SET. PRECISE SOLUTION OF A BOUNDARY VALUE PROBLEM // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2015. № 2(24). p. 3-32
Author(s):Abrukov D. A.
Index of UDK:539.3+624.073
DOI:
Title:BEND OF A RECTANGULAR PLATE WITH THE FREE LONGITUDINAL EDGES AT WHICH END FACES THE GENERALIZED TRANSVERSAL FORCES AND MOMENTS OF DEFLECTION ARE SET. PRECISE SOLUTION OF A BOUNDARY VALUE PROBLEM
Keywords:

plate bending, Fadle – Papkovich functions, analytical solutions.  

Abstracts:

The precise analytical solution of a boundary value problem of a bend of a squared thin plate which longitudinal parties are free is constructed. Two cases are considered: a) at end faces nonzero moments of deflection and zero generalized transversal forces are set; b) at end faces nonzero generalized transversal forces and zero moments of deflection are set. The decision is submitted in ranks on Fadle – Papkovich functions. Required coefficients of ranks are by means of systems of functions, biorthogonal to Fadle – Papkovich functions.

The contact details of authors:

 

Abrukov, Denis Alexandrovich Candidate of Phys.&Math., Asso c. Professor, Department Mathematical Analysis, Algebra and Geometry, I. Yakovlev Chuvash State Pedagogical University, Cheb oksary  

Pages:3-32
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