Mechanical fields over thin elastic surfaces can develop singularities at isolated points and curves in response to constrained deformations (e.g., crumpling folding of paper), singular body forces couples, distributions defects dislocations disclinations), metric anomaly growth thermal strains). With such concerns as our motivation, we model von Kármán plates generalize the classical equations...

We consider several examples of mechanical systems the configuration spaces which have form smooth manifolds with a unique singular point: two intersecting (or tangent) curves on two-dimensional torus, four four-dimensional torus common point, and cone (cusp) in $${{\mathbb{R}}^{6}}$$ . The main problem presented this paper is calculation (co)tangent space above point by means various theoretic...