China
Africa
Explore chapters and articles related to this topic
Kinematics of Particles
Published in M Rashad Islam, A K M Monayem H Mazumder, Mahbub Ahmed, Engineering Dynamics, 2022
M Rashad Islam, A K M Monayem H Mazumder, Mahbub Ahmed
Curvilinear motion is defined as the motion when a particle moves along a curved path. This curved path can either be in two dimensions (on a plane), or in three dimensions. A curvilinear motion is more complex than rectilinear motion just discussed earlier in this chapter. This motion can be explained using three different coordinates systems namely Rectangular Components, Tangential and Normal Components, and Radial and Transverse Components.
Engineering Mechanics
Published in P.K. Jayasree, K Balan, V Rani, Practical Civil Engineering, 2021
P.K. Jayasree, K Balan, V Rani
Translational motion is the motion by which a body shifts from one point in space to another as shown in Figure 4.53. There are two types of translation: (1) rectilinear motion and (2) curvilinear motion. Rectilinear motion is that type of motion where the body moves in a straight line while curvilinear motion defines the motion of an object moving in a curved path.
There is more than one way to force a pendulum
Published in International Journal of Mathematical Education in Science and Technology, 2023
The motion of the centre of mass is given the functional form, This is the same forcing function used in Case (1996). The derivatives of the forcing function, (31) are then, One complication of forcing the pendulum in this way is there are a number of mass accelerations in the mass acceleration diagram shown in Figure 15(b). The mass is being accelerated from side to side about the pivot located at xC, see Figure 15(b), and at the same time is undergoing an acceleration about the pivot located at O. In Figure 15 all point vectors are relative to the pivot, O, xG denotes the location of the pendulum bob and xC denotes the location that the two connecting rods join. The internal force, T2 in Figure 15, represents the internal tension within the connecting rod between xC and xG. This acts within the rod at both ends and in terms of the motion of the pendulum has no influence as they cancel each other in the moment equation (37) derived below. Considering the mass acceleration diagram, Figure 15(b), this is curvilinear motion, and the accelerations take the form,
Intelligent Tracking of Moving Ships in Constrained Maritime Environments Using AIS
Published in Cybernetics and Systems, 2019
Yuanchang Liu, Rui Song, Richard Bucknall
When a ship is making a turn with a constant transverse velocity of V at time step t, the standard curvilinear-motion can be used to describe ship motion as: where x(t), y(t), and are the position and heading of ship at time step t, and denote the ship’s normal and tangential accelerations (Li and Jilkov 2000).
Time optimal driving on curvilinear path with kinematic constraints
Published in Computer-Aided Design and Applications, 2018
In curvilinear motion, velocity, acceleration and jerk of the moving object are vectors. We take maximum absolute values of those vectors as the constraints. The velocity need to be limited for safety reasons. Limitation of maximum acceleration is important because it is proportional to the force acted on the moving object. By limiting maximum jerk, the changing rate of acceleration is restricted and smooth movement can be realized.