The human limiting values for sudden accelerations we have determined can be used to evaluate specific physical conditions that cause problems in maintaining postural balance. A comparison between the data obtained in the laboratory and the situations occurring during public transport by tram, bus, and metro revealed that both the initial impetus ("jerk") and the level of acceleration found in ...

Abstract Following the observed pattern of a new geomagnetic jerk every 3–4 years, certain predictions suggested that event should occur around 2020 after one 2017.5. In this work, we explore scenario by analysing secular variation East field component in both ground and satellite data. At ground, use available data from 2015 to 2021 10 observatories worldwide distributed. This analysis shows o...

In this investigation, an (un)forced third-order/jerk Van-der Pol oscillatory equation is solved using two perturbative methods called the Krylov–Bogoliúbov–Mitropólsky method and multiple scales method. Both first- second-order approximations for unforced forced jerk equations are derived in detail proposed methods. Comparative analysis performed between analytical numerical fourth-order Runge...

Investigations of one hand reaching tasks suggest that humans use some optimal criterion to select the trajectory for the motion. In this paper, the minimum jerk model that was proposed to account for single-hand reaching tasks is extended to the two-arm case. A set of experiments was performed to verify the model. The repeatability of the experimental results was investigated. The data shows t...

The problem of designing jerk limited-time optimal control proŽ les for rest-to-rest maneuvers of  exible structures with multiple actuators is addressed. The problem formulation includes constraints to cancel the poles corresponding to the rigid-body mode and  exible modes of the system and to satisfy the boundary conditions of the rest-to-rest maneuver. Further constraints can be added to i...

We address the problem of (semiglobal) trajectory tracking control of rigid and exible joints robots using computed torque based controllers. The paper contains two contributions; rst, for rigid robots we show that velocity in the control algorithm can be replaced by the ltered position, thus obviating the explicit need of state observers. Second, we show that it is posible to achieve trajector...

This paper proposes a piecewise acceleration‐ optimal and smooth‐jerk trajectory planning method of robot manipulator. The optimal objective function is given by the weighted sum of two terms having opposite effects: the maximal acceleration and the minimal jerk. Some computing techniques are proposed to determine the optimal solution. These techniques take both th...

In this work the velocity, acceleration, and jerk analyses of a two-degrees-of-freedom parallel wrist are approached by means of the theory of screws. For the sake of completeness, the finite kinematics of the manipulator is also investigated. As far as the authors are aware, the equation of jerk in screw form of the robot at hand is introduced by the first time in this contribution. In order t...