Problems of stress singularities in single or multi-material corners have been addressed by many authors over the years. Most presented closed-form corner-eigenequations for special cases, and often there is no easy way to check if solution correct. In this work, we present a general computational tool that can solve different cases singularity problems under generalized plane strain. The semi-...

We explicitly analyze the trajectories of learning near singularities in hierarchical networks, such as multilayer perceptrons and radial basis function networks, which include permutation symmetry of hidden nodes, and show their general properties. Such symmetry induces singularities in their parameter space, where the Fisher information matrix degenerates and odd learning behaviors, especiall...

It is well known that singular configurations are an inherent nature of mechanical systems and have important influences on their properties. Therefore, these special configurations of the system are usually avoided in design and application of mechanisms. For simple 2-DOF and 3-DOF planar manipulators, the singularity loci have been obtained in [1, 2]. For spherical 3DOF parallel manipulators ...