Journal of Mathematical Sciences

, Volume 157, Issue 1, pp 52–69 | Cite as

Cylindrical bending of a cusped plate with big deflections

  • G. Jaiani
  • N. Chinchaladze


The present paper deals with big deflections by the cylindrical bending of a cusped plate with the variable flexural rigidity vanishing at the cusped edge. The setting of boundary conditions at the plate edges depends on the geometry of sharpening of the cusped edges. All the admissible classical bending boundary-value problems are formulated. Existence and uniqueness theorems for the solutions of these boundary-value problems are proved.


Homogeneous Boundary Condition Shell Boundary Nonhomogeneous Boundary Condition Prismatic Shell Cusped Edge 
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© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.I. Vekua Institute of Applied MathematicsTbilisiGeorgia
  2. 2.I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State UniversityTbilisiGeorgia

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