Questions tagged [kinematics]

Kinematics is the branch of mechanics dealing with the motion of points and objects.

Filter by
Sorted by
Tagged with
1 vote
1 answer
83 views

Parallel spatial mechanism - DOF

The parallel mechanism is composed of a moving platform and a base (or frame) connected by four legs. Each leg is composed of five revolute joints numbered 1, 2, … 5 from the base to the moving ...
user avatar
1 vote
1 answer
39 views

Elegant way to mathematically relate joint positions (without a root/base joint) for easy re-rooting?

I'm pretty new to robotics, but have learned about the tranformation matrices and how to relate relationships between joints using transformation matrices. I just wonder if there is a system that ...
user avatar
3 votes
1 answer
291 views

How to find angular velocity using pure pursuit algorithm?

I have implemented the pure pursuit algorithm for my differential wheeled robot as described in the following paper: http://www.enseignement.polytechnique.fr/profs/informatique/Eric.Goubault/MRIS/...
user avatar
  • 31
3 votes
1 answer
93 views

Forward kinematics confusing point

I am studying robot arm kinematics. In order to construct a transformation from a global coordinate frame to the end effector frame, I have seen references to the Denavit–Hartenberg (DH) convention. ...
user avatar
0 votes
1 answer
88 views

Can a 6 DOF robot have multiple inverse kinematics solution with a constrained rotation/orientation

I trying to understand how manipulators robot works (6 DOF) I would like to know if the inverse kinematics (IK) solution give only one or multiple solution if we include the rotation (3x3 matrix) of ...
user avatar
  • 73
3 votes
1 answer
85 views

Difference between Denavit-Hartenberg and Rodrigues formulas/conventions

I am trying to compute the forward kinematics for a 6 DOF robot arm. I've found two methods : the Denavit-Hartenberg (original and modified) and the product of exponentials with the Rodrigues formula. ...
user avatar
  • 73
0 votes
1 answer
68 views

What type of electric motor and speed-controlled circuit do I use to bounce a hanging, 5 pound weight? (it's for a Halloween decoration)

I'm trying to make a roughly 5 pound, hanging halloween decoration bounce on a string from about 1-3 times per second, preferably at variable speeds if I can. I've looked up a simple DC motor circuit ...
user avatar
1 vote
0 answers
29 views

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 ...
user avatar
1 vote
1 answer
82 views

Inertial frame's angular velocity expression

I'm following a robotics course on coursera which talks about aerial robotics and more specifically quadrotors. I'm trying to understand the logic behind the relationship between the angular velocity ...
user avatar
  • 147
2 votes
1 answer
162 views

Inertial frame VS Body-fixed frame momentum correction factor

I've recently enrolled in a Coursera aerial robotics course and i'm trying to understand how the rate of change of the angular momentum is computed from the inertia frame to the body-fixed frame. ...
user avatar
  • 147
0 votes
0 answers
199 views

Simple inverse Kinematic algorithm

I was looking for a simple inverse Kinematic algorithm that doesn't depend on eigen(doesn't work on my machine + dependency conflict never fixed it) Most of the code out in the internet is way to ...
user avatar
  • 11
0 votes
1 answer
138 views

5 bar linkage hand exoskeleton

I have a project to design a hand exoskeleton for hand rehabilitation. The problem is that i'm thinked I only need the linkage mechanism with multiple 4 bar linkages. But because of human fingers ...
user avatar
3 votes
2 answers
151 views

Stationary/inertial reference frame

In Modern Robotics by Kevin Lynch, there is a term "stationary" frame, but this is never defined. Googling shows that this is synonymous with inertial frame. Apparently inertial frame means ...
user avatar
  • 141
0 votes
1 answer
36 views

How do I calculate components of an angular rate on end effector frame?

I’ve helped develop the forward kinematic chain for a two-axis gimbal. The Denavit-Hartenberg parameter table for the kinematic chain is given below. $\theta$ $\alpha$ $r$ $d$ $90^{\circ}$ $90^{\...
user avatar
  • 69
1 vote
1 answer
675 views

Denavit-hartenberg parameters sign 6-DOF

Trying to understand how does the Denavit-Hartenberg work. While I understood how is the table constructed, I however don't understand how are the signs for the orientation parameters (theta, joint ...
user avatar
0 votes
1 answer
494 views

how to find Singularity and jacobian Inverseof 5 DOF Robotic arm?

I am working on calculating the Jacobian Determinant to find the singularity of my 5 DOF Robotic arm, I have calculated the jacobian matrix, and the matrix I got is a very large value As it is non ...
user avatar
0 votes
2 answers
454 views

Adding 90 degrees to DH parameter

I am trying to learn DH parameters for this anthropomorphic arm is. What I understand is robot's/or serial arms can have different initial position. But here, how is theta 3 = theta 3 + pi/2? I am ...
user avatar
1 vote
2 answers
111 views

Why do we say a robotic arm have 2 dof even though the two joints rotates along the same axis?

Why do we say a robotic arm has 2 degrees of freedom even though the two joints rotate along the same axis? Why isn't it called a 1 dof robot?
user avatar
0 votes
1 answer
46 views

How can I find the kinematics 2 differential drives attached together along their axes?

I have a system like shown in the diagram where 2 robots having differential drive are physically constrained together. Traditionally for a single robot, we find the Instantaneous center of curvature (...
user avatar
2 votes
2 answers
136 views

How to calculate potential enegy of manipulator dynamics?

I'm trying to obtain dynamics of a 4 DOF robot. Firstly, I calculated all Transformation matrices and Jacobians. While solving Lagrangian there is two main things one is kinetic energy and the other ...
user avatar
1 vote
1 answer
87 views

Cartesian control for $z$ vector of end effector frame to point towards a specific direction

Consider a robotic manipulator with 7-DOF (all joints are revolute) that accepts joint velocities as execution commands. What I am trying to achieve is the following: I want to calculate the ...
user avatar
0 votes
1 answer
74 views

Problem designing acceleration inputs controller

I am reading this paper: https://www.researchgate.net/publication/224635390_The_motion_control_problem_for_the_CyberCarpet in which is implemented a cartesian regulator to bring the position $(x,y)$ ...
user avatar
  • 449
0 votes
1 answer
133 views

How to calculate potential enegy of manipulator?

I'm trying to obtain dynamics of a 4 DOF robot. Firstly, I calculated all Transformation matrices and Jacobians. While solving Lagrangian there is two main things one is kinetic energy and the other ...
user avatar
3 votes
1 answer
259 views

How to calculate Inertia tensor?

I'm trying to obtain dynamics of a 4 DOF robot. Firstly, I calculated all Transformation matrices and Jacobians. While solving Lagrangian there is a term I - Inertia tensor . I couldn't understand the ...
user avatar
0 votes
1 answer
203 views

Forward Kinematics for Two Axis Gimbal Mount

I'm trying to work out the orientation of a block at the end of two axis gimbal. I know the position of the two rotational joints, but would like to calculate the final orientation of the block given ...
user avatar
  • 69
1 vote
1 answer
60 views

C space for R5 manipulator

Trying to create a collision avoidance model (RRT) for an RRRRR manipulator. I am unable to wrap my head around how to represent the same in configuration space. Anything upto 3 joint variables is ...
user avatar
1 vote
1 answer
52 views

How can I find a robot's distance from an object given FOV, bounding box measure, and image width and height in pixels?

The robot is standing in the middle of the arena. I am confused on how to convert the pixels into a real life distance and how to use the bounding box. Starting help is appreciated.
user avatar
1 vote
1 answer
348 views

Multi-Link Robot Degrees of Freedom

I want to compute the DOF of this system if it composed of (n) such links grasping this common object using Grubler's formula obtaining the solution as a function of (n), considering this to be a ...
user avatar
1 vote
1 answer
169 views

Compute orientation velocities 6-DOF robot

I am trying to compute the joint velocities a 6-DOF manipulator(a typical industrial robot). I have an initial position [xi, yi, zi, T1i, T2i, T3i] and goal position [xf, yf, zf, T1f, T2f, T3f] in the ...
user avatar
  • 21
1 vote
1 answer
352 views

Chebychev–Grübler–Kutzbach Formula of Degree of Freedom

I always have had a problem understanding Chebychev–Grübler–Kutzbach Formula of Degree of Freedom: $$d = 6\,n - \sum_{i= 1}^{m}\left( 6 - f_i\right)$$ where $n$ is the number of moving links, $m$ is ...
user avatar
1 vote
0 answers
21 views

How to do a relative rotation of a cuboid such that the longest edge is upright?

I am using pybullet. I have a cuboid with half extents [4,2,1] corresponding to x,y,z dimensions. I rotate this cuboid around the z world axis theta and also translate it by [0, 0, .65]. I take a ...
user avatar
  • 141
4 votes
2 answers
290 views

Cartesian Velocity Control between Two 3D Poses

I am really struggling to understand how to do Cartesian velocity control when 3D rotations are involved. So, below is a very simple example which I am hoping somebody can help me with. Let's say the ...
user avatar
1 vote
1 answer
318 views

How to find inertia parameter of payload automatically

I know of several robot manufacturers who can perform automatic inertial measurement for 6 axis robots. Fanuc, for example, moves with axes 5 and 6 each from +180 to -180 °, once with and once without ...
user avatar
  • 111
0 votes
1 answer
259 views

Cartesian Angular Velocity

Let's say I have a Jacobian which gives the relationship between the velocity of a robot's joints, and the Cartesian velocity of its end-effector, relative to the end-effector's local frame. And let's ...
user avatar
0 votes
1 answer
72 views

Design optimization method using indices

There are several methods like manipulability and conditioning index for design optimization kinematics performance, but these methods rely on the singular values of the jacobian matrix. I described ...
user avatar
  • 11
1 vote
1 answer
74 views

Dexterity calculation with dual quaternions

How can the manipulability of a robot arm be calculated when the kinematics are described with screw theory such as dual quaternions? These methods are sigularity-free, but what could we say about ...
user avatar
  • 11
0 votes
1 answer
31 views

Difference between constant curvature kinematics and rigid link kinematics

What is the difference between constant curvature kinematics and rigid link kinematics and what is their respective definition?
user avatar
  • 103
1 vote
1 answer
975 views

Jacobian to determine the linear velocity of each node (DOF 3 RRR robot arm)

I've done the FK and IK for this robot: On those I seem to be able to get to the positions I want on the simulator so I'm assuming nothing is wrong with my FK and IK calculations. I've tried to ...
user avatar
0 votes
1 answer
405 views

Inverse Kinematics with Orientations

Let's say I have a robot consisting of a base $B$ and a manipulator $M$. The pose of the manipulator can be expressed as the transformation matrix $T_{BM}$. I also have a goal $G$ which I want to move ...
user avatar
0 votes
0 answers
59 views

From an end-effector trajectory to joints movements

let's assume that our robot consists of 3 degree-of-freedoms. In order to move the end-effector of this robot along a straight line, these 3 joints have moved as below: Now, if the desired end-...
user avatar
  • 184
2 votes
2 answers
412 views

SLERP velocity and acceleration (3d Orientation interpolation)

Hey guys I am quite new to quaternions and I am a bit unsure as to how to use them. How are the velocities and accelerations trajectories determined using quaternions? I have been using slerp to ...
user avatar
  • 324
1 vote
2 answers
131 views

Understanding Twists as 3D Velocities

I am just learning about twists to represent 3D velocities (e.g. of a robot's end-effector), and I have two questions: 1) Wikipedia defines a twist as "an angular velocity around an axis and a linear ...
user avatar
0 votes
1 answer
56 views

How to represent the Xf axis of the final frame (end-effector) in function of euler angles?

I am working on a robot arm with 7 rotational joints. I can generate the T of any position, what I want to do ist to represent the vector Xf of the end effector frame in the base frame. How can I do ...
user avatar
1 vote
0 answers
152 views

Degree of maneuverability mobile robot

According to the traditional kinematic theory for mobile robots [1][2] a mobile robot with a steerable wheel and two passive casters presents a $\delta_m=2,\delta_s=1,\delta_M=3$. This is easy to ...
user avatar
  • 11
4 votes
1 answer
1k views

Why with the pseudo-inverse it is possible to invert the Jacobian matrix even in a singular configuration?

Consider the following situation: I have a robotic arm manipulator with all revolute joints, for example consider a 2R planar manipulator. We know that if we compute the direct kinematics of it, anf ...
user avatar
  • 449
3 votes
1 answer
892 views

How do I compute the derivative of the Jacobian with Matlab?

I am studying robotics, and I am trying to write a Matlab code for computing the derivative of the jacobian matrix. The formula for computing the derivative of the Jacobian is the following: so it ...
user avatar
  • 449
0 votes
1 answer
52 views

Doubt about axis\angle representation

I am trying to understand the axis/angle representation. So far, I have understood that the main idea is that every rotation can be represented as a rotation around an arbitrary axis of an angle $\...
user avatar
  • 449
2 votes
2 answers
216 views

What is the reasoning for solving inverse kinematics problems?

I am a student, and I am studying robotic arm manipulators. I am focusing on the concept of inverse kinematics, I have understood is the process of finding, from the direct kinematics, the joint ...
user avatar
  • 449
0 votes
1 answer
175 views

What is my last rotation matrix for the last three angles when i have found the first three when doing inverse kinematics to a 6dof robot?

I am doing inverse kinematics for a 6dof robot. I have used the geometrical method to describe the angles from one to three. I have trouble doing the next part. I know I that I have found the ...
user avatar
3 votes
1 answer
122 views

where can I find a good source to study robotics kinematics and trajectory planning relative to robotic arm manipulator?

I am a student, and I have to study for a Robotics exam which consistes mainly in kinematics for a robotic manipulator and trajectory planning also for a robotic manipulator. In the part relative to ...
user avatar
  • 449

1
2
3 4 5
7