Questions tagged [dynamics]

Dynamics is a branch of applied mathematics (specifically classical mechanics) concerned with the study of forces and torques and their effect on motion, as opposed to kinematics, which studies the motion of objects without reference to its causes.

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9
votes
3answers
23k views

What's the difference between a holonomic and a nonholonomic system?

I was wondering if a 1D point mass (a mass which can only move on a line, accelerated by an external time-varying force, see Wikipedia - Double integrator) is a holonomic or a nonholonomic system? Why?...
5
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4answers
2k views

Dynamic torque simulation for a 6 DOF robotic arm

I am working on a 6 DOF robotic arm(industrial manipulator). I have the basic structural specs (dimensions, weights etc) for the links and joints with me. Basically, I want to simulate both static ...
0
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3answers
461 views

Constrained Second Angle Double Pendulum

If I am trying to model the dynamics of a double-pendulum (on a horizontal plane without the effects of gravity), in which the second angle is constrained to range between values of [-10 deg, 10 deg], ...
10
votes
3answers
17k views

Position Control vs Velocity Control vs Torque Control

Please can somebody explain to me the difference between Position Control, Velocity Control, and Torque Control? Specifically, I am thinking in terms of a robot arm. I understand that position control ...
4
votes
4answers
6k views

how to implement tracking problem with PID controller

I'm trying to implement the tracking problem for this example using PID controller. The dynamic equation is $$ I \ddot{\theta} + d \dot{\theta} + mgL \sin(\theta) = u $$ where $\theta$ : joint ...
4
votes
2answers
194 views

Biped State Space Implementation

Currently I working on a humanoid robot using inverted pendulum model and use LQR for walking stabilizer. Input u is Torque, State x is angle and angular velocity and y output is angle. I got the ...
9
votes
2answers
420 views

Adding an Actuator or Force to a (Featherstone) Articulated Rigid Body Model

I'm working on a project where I need to model a system that is essentially comprised of a series of ball-and-socket joints attached to a base, which is attached in turn to a prismatic joint (rail). ...
5
votes
3answers
539 views

Proportional controller error doesn't approach zero

I'm reading this pdf. The dynamic equation of one arm is provided which is $$ l \ddot{\theta} + d \dot{\theta} + mgL sin(\theta) = \tau $$ where $\theta$ : joint variable. $\tau$ : joint torque ...
0
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1answer
889 views

Dynamics of a 3R planar robot manipulator,matrices M(q),C(q,q') and G(q)

The dynamics equation is T=M(q)*q''+C(q,q')*q'+G(q). Can somebody provide me with the M(q), C(q,q') and G(q) matrices of a 3R manipulator with link mass,length and rotational inertia m_i, l_i and ...
5
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6answers
577 views

Effectiveness of a Mobile Robot In Relation To Mass

Do mobile and/or autonomous robots become more or less effective the bigger they get? For example, a bigger robot has bigger batteries, and thus bigger motors, whereas a smaller robot has the exact ...
1
vote
1answer
337 views

Robot with Double Integrator Model [duplicate]

Does the robot described by Double Integrator Model is holonomic ? Let's say we have a robot with dynamics described by equations \begin{cases} \dot x = v, & \\ \dot v = \frac {1}{m}u \end{...
1
vote
1answer
37 views

Non-planar robot Dynamics error using Roy Featherstone's Spatial toolbox

I am using this code to test robot dynamics of above robot using Spatial Toolbox function: FDab(rob, [0;0;0], [0;0;0], [0;0;0]) %a_grav = [0,0,-9.81] But it ...
0
votes
1answer
148 views

Robot with Double Integrator Model

Does the robot described by Double Integrator Model is holonomic ? Let's say we have a robot with dynamics described by equations \begin{cases} \dot x = v, & \\ \dot v = \frac {1}{m}u \end{...