Realization of the full benefits of variable p-version finite elements requires the careful construction of prismatic elements in thin sections. This paper presents a procedure to automatically isolate the thin sections using the points on an approximate medial surface computed by an octree-based algorithm. Using the pairs of triangles associated with medial surface (MS) points, in conjunction ...

We study the joint recognition problem, which asks for the identification and classification of kinematic joints from a geometric constraint system. By laying the foundation for a rigidity-theoretic study of flexible body-and-cad frameworks, we obtain an O(n) algorithm for identifying prismatic and revolute joints relative to a specific body and an O(n) algorithm for finding all pair-wise joint...

A third-order explicit time-stepping model for the simulations in open channels flow is presented. The time discretization of one-dimensional SaintVenant’s basic equations is obtained by Taylor series expansion, formulated in multi-stage approach, whereas the spatial discretization is obtained by finite difference central scheme. Firstand second-order models have been obtained by using piecewis...

The paper derives the inverse and forward kinematic equations of a spatial three-degree-of-freedom parallel mechanism, which is the parallel module of a hybrid serial-parallel 5-axis machine tool. This parallel mechanism consists of a moving platform that is connected to a fixed base by three non-identical legs. Each leg is made up of one prismatic and two pair spherical joint, which are connec...

The paper deals with a non-conforming nite element method on a class of anisotropic meshes. The Crouzeix-Raviart element is used on triangles and tetrahedra. For rectangles and prismatic (pentahedral) elements a novel set of trial functions is proposed. Anisotropic local interpolation error estimates are derived for all these types of element and for functions from classical and weighted Sobole...

This paper studies the workspace of a six-degrees-of-freedom parallel manipulator of the general three-PPSR (prismaticprismatic-spheric-revolute) type. It is known that a drawback of parallel manipulators is their limited workspace. To develop parallel mechanisms with a larger workspace is of use to potential applications. The mechanism of a three-PPSR manipulator and its variations are briefly...

K6Yb3(PS4)5 possesses two identical but interlocked three-dimensional frameworks. Each framework is realized by having Yb3+ atoms adopt both octahedral and trigonal prismatic sulfur coordination.