This study aims to investigate the algebraic forms of the constraint manifolds of 4 R and 6 R
planar and spherical closed chains in Lorentzian space. For this purpose, firstly, the …

In this paper, we have first obtained the derivatives of spherical and spatial motions by using
the special matrix group in generalized space E3 (α, β). The rotation matrices and tangent …

Calculating the structure equation of a chain is important to represent the position of the end
link on the chain. Furthermore, the structure equation helps to determine the constraint …

The expression of the structure equation of a mechanism is significant to present the last
position of the mechanism. Moreover, in order to attain the constraint manifold of a chain, we …

The objective of this paper is to explore the unexplored algebraic representations of the
constraint manifolds associated with 4 C and 6 C spatial closed chains in Lorentzian space …