and its kinematic and dynamic analysis is the basis of its kinematic control.The baffle module of the robot is an opened chain.The method of kinematic and dynamic analysis based on the screw theory is used to build up kinematic and dynamic equations of the robot by using the mathematic tools...
Most of those models are formulated as the product of a constitutive tensor and the strain-rate tensor, giving the stress condition of the material that is balanced in the kinetic equations. In the present study, the calculation of the strain-rate tensor is not related to the kinetics of ...
In other words, \mathbf {u} is a solution of the following Stokes equations \begin{aligned} \left\{ \begin{array}{ll} -\mu \Delta {\mathbf {u}}+ \nabla p ={\mathbf {0}} \;\; &{}\text{ in }\;\; \Omega ,\\ \text{ div }\; {\mathbf {u}}=0 \;\; &{} \text{...
where is the (constant) fluid density, is the kinematic viscosity, and F = (fx , fy ) represents any external forces that act on the fluid. Notice that Equation 1 is actually two equations, because u is a vector quantity:Thus, we have three unknowns (u, v, and p) and thre...
Equations used to calaculate the positions of a series of rigidly-linked segments (called the kinematic chain) based on the location of the end effector, usually located at the tip of the last segment. Useful for robotic systems like drawing machines, robot arms, and more. Inverse kinematics ...
a–e Five common kinematic joints. The modular pieces were used in different combinations to create the different behaviors of the structures. The spheres were placed such that they can be easily used in mathematical definitions of the joints. f Different kinematic joints were combined to create ...
Kinematic wave equations for a simple watershed model are cast in the form of a convolution integral. Two special cases, flow across a plane rectangular surface and flow with a linear stage-discharge relation, are developed in detail. These solutions are used to show the relationship between the...
associated equations. Exploring this aspect in more depth would yield valuable insights, as it has long shaped the work of numerous theoretical physicists and remains particularly relevant in contemporary physics due to the many challenges it presents. Indeed, based on the so-called perturbation ...
It appeared at the outset that the displacement equations for the five-link mechanisms used to model the three 6-dof manipulators in the SSRMS would also be fourth degree. However, by judiciously selecting the correct inversion it was possible to solve, in turn, a sequence of three quadratic...
For the computation of the cross sections, we included the channels \(qg^*\rightarrow qg\), with five quark flavours, and \(gg^* \rightarrow gg\). The channel \( gg^*\rightarrow {\overline{q}} q\) was neglected because its contribution, for the considered kinematic domain, is ...