On the differential operator of problems of the theory of momentless elastic shells with negative Gaussian curvature

✍ Scribed by L.S. Klabukova

• Publisher: Elsevier Science
• Year: 1983
• Weight: 435 KB
• Volume: 23
• Category: Article
• ISSN: 0041-5553
• DOI: 10.1016/s0041-5553(83)80085-8

✦ Synopsis

From the generai boundary value problem of the theory of momentless elastic shells with Gaussian curvature, a problem for displacements tangential to the shell is isolated.

The sufficient conditions for the operator obtained are formulated.

When these conditions are satisfied, an approximate solution of the problem can be found by the variationaldifference method using the minimization of the energy functional by mesh functions.

i. Statement of the problem.

Let the middle surface S of the shell with positive Gaussian curvature K have everywhere a continuously rotating tangential plane.

We assume that on the surface S a domain G is defined with boundary F which is generally multiplyconnected.

In the domain G, for the system of equations of momentless shells, written in the lines of the curvature (in the usual notation /i/),