St. Petersburg Polytechnic University Journal: Physics and Mathematics Научно-технические ведомости СПбГПУ. Физико-математические науки 2304-9782, 2618-8686, 2405-7223 19 Mathematical models, the research algorythm and the ribbed shells steadiness analysis at finite bending flexure Математические модели, алгоритм исследования и анализ устойчивости упругих ребристых оболочек при конечных прогибах Zhgutov Vladimir abc.kitezh@gmail.com 10 03 2011 1 116 122 129

The mathematical deformation models and the algorithm of the elastic ribbed shells research accounting geometrical nonlinearity, shifting and bending rigidity of the ribs, and the transverse shifts are proposed. The examples of the solutions for the metal, organic-glass and concrete shells are given. The critical load for the elastic behavior of the material is estimated.

 elastic ribbed shells geometrical nonlinearity shifting and bending rigidity of the ribs transverse shifts steadiness critical load