Branching of most probable deflection forms in sloping plates and shells in conditions of stochastic loading

The paper is concerned with deformation of plates and shells which are under action of the cross loads accidentally disributed over surface or have the accidental initial deformations. The aim is to develop the design methods of the deformation probability functional in plates and shells which are under actio of stochastic loading and to deduce the formulae for calculation of the critin cal loads and apriori deformation probabilities. The method keeping the informational entropy invariance for constructing deformation probalitiy functionals has been developed. The formulae for calculation of branching load modes in these functionals and apriori deformation probabilities of the orthotropic accidentally non-ideal plates and accidentally loaded spheric shells have been offered. The offered formulae for calculation of critical loads and apriori deformation probabilities in orthotropic accidentpally non-ideal plates permit to evaluate more exactly the stochastic reliability of plates and shells having an accidental cross loading or the accidental initial deformations. The separate results have been introduced as the computer calculation programs of critical loads and apriori deformation probabilitiesAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio