The classical mechanics of particle systems is developed on the basis of the precept that, kinematics and the notion of force aside, power expenditures are of the foremost importance. The essential properties of forces between particles follow from requiring that the net power expended within any subsystem of particles be frame-indifferent. Furthermore, requiring that the net power expended on ...

Historically, the dominant conceptual paradigm of porous media flow, solute mixing and transport was based on steady two-dimensional flows in heterogeneous media. Although it is now well recognised that novel phenomena can arise unsteady and/or three-dimensional at both pore- or Darcy-scales, appropriate methods for analysis understanding these more complex have not been widely employed. In thi...

snake robots are hyper-redundant robots that are connected with one or two dof joints. they offer a number of potential advantages beyond the capabilities of most wheeled and legged robots. in this paper, kinematics and dynamics of a planar multi-link snake robot in worm-like locomotion on an inclined surface is investigated. in this locomotion, snake robot is able to move in the vertical plane...

A bstract We define a perturbatively calculable quantity — the on-shell correlator which furnishes unified description of particle dynamics in curved spacetime. Specializing to case flat and anti-de Sitter space, correlators coincide precisely with scattering amplitudes boundary correlators, respectively. Remarkably, we find that symmetric manifolds admit generalization kinematics corresponding...

this article addresses an efficient and novel method for singularity-free path planning and obstacle avoidance of parallel manipulator based on neural networks. a modified 4-5-6-7 interpolating polynomial is used to plan a trajectory for a spherical parallel manipulator. the polynomial function which is smooth and continuous in displacement, velocity, acceleration and jerk is used to find a pat...

We discuss soft-gluon resummation for the associated production of a single top quark and Higgs boson ($tqH$ production) in single-particle-inclusive (1PI) kinematics. present analytical results higher-order corrections numerical cross sections at LHC energies. calculate approximate NNLO total rates, including scale dependence uncertainties from parton distributions, as well top-quark transvers...

In this paper, the dynamics of a micro-nano particle on micro-thin plate driven by an acoustic signal was investigated, including kinematics mode, equation, and trajectory control. According to Newton’s kinematic theorem, analyzing forces acting particle, modes are distinguished with specific mathematical conditions, which classified as slide, bounce, stable strictly planned thin area. Based th...

this paper presents the kinematic analysis and the development of a 4-degree-of-freedom serial-parallel mechanism for large commercial vehicle driving simulators. the degrees of freedom are selected according to the target maneuvers and the structure of human motion perception organs. several kinematic properties of parallel part of the mechanism under study are investigated, including the inve...