An analytical (exact in the limit) solution to boundary-value problem of deformation a finite-dimensional general cross-ply thick hyperbolic-paraboloidal panel, modeled using third order shear theory, is presented. Of special interest issue cylindrical panel-like response, presence full surface-parallel constraints at all four edges antisymmetric panel negative Gaussian curvature.

In this paper an optimization problem for a cylindrical shell under an applied dynamical loading is discussed. The aim is to look for an optimal thickness of a shell to minimize the deformation when the shell is subject to an external timedependent force together with an initial impact. The volume of the shell has to stay constant during optimization. A model for the deflection is derived and a...

Let A be a set of trivariate irreducible integral polynomials and let D be an A-invariant cylindrical algebraic decomposition (cad) of three-dimensional space. This paper presents a new algorithm for determining the interstack adjacencies in D over a given non-nullifying (for A) 0-cell, 1-cell adjacency in the cad D 0 of the plane induced by D. We show that this new adjacency algorithm for thre...

The intensive development of the modern industry is associated with emergence a variety new composite materials. Plates, panels, and shells variable thickness made such materials are widely used in engineering machine building. Modern technology for manufacture thin-walled structures any configuration makes it possible to obtain given variation law. Such subjected various loads, including perio...