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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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Holonomic constraint forces using Lagrange multipliers

Consider a multibody robotic system with Lagrangian $ L = \dot{q}^{T}M\dot{q} + V $ and equations of motion of the form $$M(q)\ddot{q}+C(q,\dot{q})\dot{q}+A^{T}(q)\lambda+N(q)=0 $$ where $N=\frac{\...
Leo's user avatar
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How to properly model a non-holonomic system?

I'm trying to model a robot which is composed of a non-holonomic and a holonomic system overall is non-holonomic. Basically it's a robot arm + mobile platform. So far I have found a similar work like ...
user3228605's user avatar
2 votes
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OpenRAVE "fast-forward" physics simulation?

I am working with OpenRAVE simulator and I am using ODE Physics (OpenRAVE plugin to support ODE). I have a robot in an environment and multiple other objects that are subject to the physics engine. I ...
Phrixus's user avatar
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340 views

Inertia Tensors in 3D objects for robot dynamics

I'm trying to obtain the dynamics of a 6DOF robot. Firstly, I calculated the combined centres of mass (between each link and the respective actuator) in order to calculate the gravity term, since it ...
Miguel M.'s user avatar
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Issues with Torque Distribution in State-dependent Differential Riccati Equation (SDRE) Controller for 4W SSMR Trajectory Tracking

I am currently working on implementing a State-dependent Differential Riccati Equation Controller (SDRE) to track the trajectory of a 4-wheel skid steer mobile robot (SSMR), where torque serves as the ...
MUHAMMAD SAQIB's user avatar
1 vote
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101 views

PD control with gravity compensation

Given the robot dynamics of the form $$M(\theta)\ddot{\theta}+C(\theta, \dot{\theta})\dot{\theta}+G(\theta)=u$$ where the notations have the standard meaning ($M$ is the inertia matrix, $C$ is ...
The Limit Does Not Exist's user avatar
1 vote
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512 views

Computation of centrifugal and Coriolis matrix

So I have a seesaw-cart electromechanical system which I want to control. It has 2-DOF (the angle of the seesaw $\varphi$ and the cart position $s$). I used the Euler-Lagrange method to get my ...
BigDuckPlaya's user avatar
1 vote
1 answer
425 views

Peter Corke Robotics Matlab Toolbox the problem of inverse dynamics in the Franka Emika Panda model

I have the following question about the Franka Emika Panda dynamic model. In case I perform the solution of the inverse dynamics problem using Robotics Toolbox (Peter Corke) I get different results ...
Daniel Kajzr's user avatar
1 vote
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36 views

Multidimensional obstacle avoidance in ODE. Part II

Multidimensional obstacle avoidance https://math.stackexchange.com/questions/4146255/multidimensional-obstacle-avoidance-in-ode For some time, I studied this question more closely and came to the ...
dtn's user avatar
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Ground based path generation from RGBD camera

How does one generate a trajectory for a ground vehicle using an RGBD camera? For a drone it's simpler since you're not constrained by having to move on the ground but it's not clear to me how ...
FourierFlux's user avatar
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Moment of Inertia of a planar rotation link with a 6-DOF base

I'm interested in analytic calculation of a moment of inertia of a robot's arm in the following situation. Let us assume the following: Stationary reference frame $ \{b\} = \{X_B, Y_B, Z_B\}$ and ...
air_ek's user avatar
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Determination of the operational space dynamic model (Task space)

I am trying to implement a hybrid Force/Motion controller for a quadruped. To do that I first need the Inverse Dynamic Model of the robot in Operational Space. I found a lot of resources on how to ...
Dawi's user avatar
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132 views

Determine moments of inertia of a tool experimentally

I've mounted a broom as an effector of the Kuka IIWA. I've configured a tool in the Kuka Sunrise Workbench software with approximative mass and center of gravity. However, when control is started with ...
myoan's user avatar
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How to interpret and apply results from Inverse Dynamics

I am applying Recursive Newton Euler Inverse Dynamics to a simple two link model. If I apply the result torques and forces using PhysX or Bullet Physics I get unexpected results. The model spins and ...
Ian Deane's user avatar
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Torque control in eye-in-hand visual servoing

In most papers about IBVS the camera velocity is computed and then used as a pseudo-input for the manipulator. (e.g. this one) Is there any work in which the dynamic Lagrange model $H(q) \ddot q +C(q,\...
Controller's user avatar
1 vote
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191 views

Dynamics of parallel manipulator

My task is to apply forces to control 3-dof parallel manipulator. Forces are applied to linear actuators, friction is neglected. End-effector of a robot is supposed to follow generated path; for ...
hedziu's user avatar
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Designing the kinematics and Dynamics of a spherical joint as 3 revolute Joint

I am working on a project where I am trying to mimic human like motion and for that I am designing a 7 DOF arm with the spherical joint in shoulder as 3R joints and 2R joints for elbow and 2R joint ...
Anshul Nayak's user avatar
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34 views

How does joint torque varies wrt joint velocities in Recursive Newton Euler algorithm?

I'm currently working on solving the inverse dynamics of a 6-axis articulated robot, similar to the UR5, using the recursive Newton-Euler algorithm. I'm very confused with the results I'm getting, as ...
Vishaal's user avatar
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Hexacopter Simulation

I am doing a project to simulate a hexacopter with the mathematical model and its dynamics with PID. I've got the theoretical knowledge but am stuck on simulation. Would any of you happen to have any ...
DragonSlayer's user avatar
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Help with clarifying UR10e center of mass

I'm doing an assignment related to the Universal Robot UR10e robot for a robotics class. I have to use the center of mass of each link to solve the problem. I found the information on the link below (...
ElbCox3's user avatar
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1 answer
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Lynch, Park derivation of the dynamic equations of motion

In Park and Lynch's "Modern Robotics" textbook (Section 8.2.1), they give the following derivation for the velocity and acceleration of a point $p_i$ with respect to a fixed body frame $\{b\}...
Molecular Lionel's user avatar
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32 views

What is the preferred approach to derive the kinematics/dynamics of a floating base 3-link robot?

I would like to derive the kinematics and dynamics of a floating planar robot with two leg links and a hip link while the robot is in free-fall (i.e. no ground contact at the "feet"). This ...
Molecular Lionel's user avatar
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35 views

Screw theory for kinematics/dynamics of mechanisms

Is screw theory commonly used for general kinematics/dynamics of mechanisms (not just robotics)? I'd be interested in anything that covers the types of mechanisms you would find in a typical ...
Molecular Lionel's user avatar
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75 views

Relationship between Lie Algebra (Murray, Lynch) and spatial vector (Featherstone) approaches

I am curious about the relationship between the Lie algebra/group approach to robot kinematics given by Murray (et al.) in "An Introduction to Mathematical Robotic Manipulation" and Lynch (...
Molecular Lionel's user avatar
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77 views

What are the gain and bias parameters used to control actuators?

When I read the Mujoco official document, the following paragraph raises my confusion: Different settings of the gain and bias parameters can be used to model direct force control as well as position ...
KKKmelody's user avatar
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25 views

Understanding Virtual Velocities in Delta Robot Dynamics Modeling

I want to model the dynamics of a delta robot, and I came across this article. It utilizes the Newton-Euler method with virtual work to derive the equations. There's a section called Simulation ...
Ali Ent's user avatar
  • 101
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Rolling friction of a swedish type omni wheel dependent on the direction of movement

I'm trying to find, as well as derive, the equation for rolling friction of a swedish type omni wheel (not mecanum) that depends on the angle at which the wheel is oriented to the direction of ...
Radar32's user avatar
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82 views

How do you get the force acting from the first robot link on the second robot link knowing the forces and moments in the base of the robot?

Inverse dynamics (ID) is the concern of finding the required joint forces from a specification of the joint positions, velocities, and accelerations. In the figure bloew, the ID problem would be the ...
deralbert's user avatar
  • 101
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1 answer
57 views

Define system forward dynamics with sympy

I would like to model the dynamics of a robot via the usual discretized system of equations $$ x_{k+1} = f(x_k, u_k) \qquad x\in\mathbb{R}^{n_x}, \quad f:\mathbb{R}^{n_x}\times\mathbb{R}^{n_u} \to \...
SystemSigma_'s user avatar
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70 views

Spherical Parallel Manipulator Lagrangian problem

I faced a very serious problem and I urgently need the help of specialists in robotics, mechanics, physics and mathematics. I am trying to derive equations of motion from the Lagrangian of a spherical ...
dtn's user avatar
  • 183
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23 views

Looking for a course (online?) RE: systems with XY stages

Using XY stages is common in many fields: 3D printing Genetics instruments semiconductor lithography automated microscope slide imaging See for example https://www.asml.com/en/technology/lithography-...
user3533030's user avatar
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43 views

What do I need to know about the dynamics of an industrial robot?

Apart from kinematics, what do i need to know about the dynamics and other things of a robot in order to calculate the angles of the joints for positions of the end effector exactly? that means: if i ...
Hey Hey's user avatar