The beam is controlled by a servo motor. The operating voltage required by the motor is maintained by a power converter. The desired position of the ball is specified using a potentiometer. The controller, running on an Arduino Uno, measures the potentiometer and IR sensor values and sends an...
The beam is mounted on the shaft of an electrical motor the beam can be tilted about its Centre axis by applying an electrical control signal to the motor amplifier. This paper describes how to obtain the equations of motion for the Ball and Beam process. There are two ...
pact location or the beam length or the method of support at the ends. II. BEAM THEORY The equation of motion for a beam subject to an external force, F 0 per unit length, has the form 8,9 A 2 y t 2 F 0 2 x 2 EI 2 y x 2 , 1 where is the density of the beam, ...
All the pathetic and miserable lives he had washed away from the chalkboard of life made a small, sinister smile grow on his face. Turles stood gazing out the large window at the front of his ship, watching with deep interest as they neared a rather large planet perfectly ripe for the ...
Differential Equations with Discontinuous Right-Hand Sides (1988) W.J. Stronge Impact Mechanics (2000)View more references Cited by (17) Dynamic analysis of a ball bouncing on a flexible beam 2019, Journal of Sound and Vibration Citation Excerpt : Later on, it was shown that the addition of...
A ball screw transforms rotational motion into transitional motion. As a result, the shaft is subject to loads: Ball Screw Design Equations and Selection Criteria: Applied load Required Torque Maximum Rotational Speed Resonance (bending) of threaded shaft ...
The ball screw shaft was modeled by a flexible beam with axial, torsional, and transverse deformations, and the Ritz series expansion was used to approximate the continuous deformations. The motion equations were obtained using the Lagrange method. The analytical solution was derived and verified. ...
The aims of the present study were two-fold: (i) to investigate the relationship between physical characteristics and the game statistics associated with ball-carrying capability amongst sub-elite rugby union players, and (ii) to predict the level of change in these physical characteristics required...
414 N.B. Hui and P. Sharma 2.1 System Equations The Lagrangian equation of motion for the ball is given by the following: h ¼ J R 2 þM €r þMg sin a ÀMr _ a ð Þ 2 ð1Þ Linearization of this equation about the beam angle, α = 0, gives us the following ...
Rolling along a square path: The dynamics of biased balls We investigate the motion of a truncated billiard ball, via experiments, analytical methods, and numerical solutions of the equations of motion for a biased sphere rolling without slipping. Solutions are identified where the center of mass....