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On space objects flexible spatial constructions (Antennes, the solar batteries, the robotised systems, coils pipe of systems of cooling, etc.) are often applied. The Experimental research of natural models in the conditions of terrestrial gravitation is complicated or it is impossible. Therefore calculation of their is intense-deformed condition, designing, optimisation of mechanical parametres take on special significance. Methods of research applied by us allow to define is intense-deformed ñîòîÿíèå elements of designs of any spatial curvature at action of loadings of any type (concentrated, distributed, static, quasistatic, dynamic), any way located in space in relation to the object, enclosed in any point or on any site of the element, operating on any interval of time of deformation.