International Conference «Mathematical and Information Technologies, MIT-2016»

28 August – 5 September 2016

Vrnjacka Banja, Serbia – Budva, Montenegro

Semisalov B.V.   Голушко С.К.  

On the Modelling and Simulation of Anisogrid Shells of Zero Gaussian Curvature with Error Control

Reporter: Semisalov B.V.

Anosogrid structures are grid shells manufactured of unidirectional carbon fibre reinforced plastics (CFRP) by automated method of continuous filament winding. They demonstrate enhanced properties of strength and stiffness and have significant potential in the field of construction of rockets and spacecrafts, aircrafts and deep-diving vehicles, buildings and high-duty structures. In this work the numerical solutions to the problem of axial compression of anisogrid structures hiving zero Gaussian curvature are obtained using nonlocal algorithm without saturation. The error of method of approximation was estimated applying the algorithm on a sequence of meshes. The numerical (truncation) error connected with truncation of digits in floating point computations was estimated through the residual of iterative process of algorithm and through the values of norms and condition numbers of its matrix operators. An important property of algorithm is slow grows of these norms and condition numbers with grows of number of basis function used for approximation.

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