In addition to the component failures, the failure of parallel manipulators as a result of the loss of degree of freedom, loss of actuation, loss of constraint, special configurations (singularities), as well as branch interference, are discussed.
A coded implementation in a cylindrical geometry, requiring special treatment of coordinate singularities, is used to investigate properties of the influence matrix and to provide estimates of timings.
"Something that was very special about Fred was his singularity of purpose," Conn tells ScienceInsider.
In mathematics, catastrophe theory is a branch of bifurcation theory for study of dynamical systems and a particular special case of more general singularity theory in geometry as well.
In this paper, we construct a combined finite element and oversampling multiscale Petrov Galerkin method (FE-OMsPGM) to solve the multiscale problems which may have singularities in some special portions of the computational domain.
The hexagonal grid version of the block-grid method, which is a difference-analytical method, has been applied for the solution of Laplace's equation with Dirichlet boundary conditions, in a special type of polygon with corner singularities.
Since the origin is a coordinate singularity, some natural trial functions are singular there and a special technique is applied to use zero as a collocation point.
For nonlinear problems, some special limiters are constructed to capture the singularities precisely.
These are special kinds of product-type distributions whose singularities are supported on an increasing subspace (0)⊂V1⊂…⊂Vk⊂…⫋G.
Based on the singularities, we can find some special moving planes, from which a quadratic parameterization of the Steiner surface can be retrieved.
