Questions tagged [kinematics]

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

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Using jacobian of arm robot to calculate transformation matrices?

I have been given a Jacobian for a 3 revolute joint robot. I need to obtain the origins of each of the joint. Origins of the joints can be obtained once I get $T^0_1$, $T^0_2$, $T^0_3$ and $T^0_4$. ...
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How to check reachability of manipulator to a point?

I have written a MATLAB code for inverse kinematics of 3R robotic arm, which returns value of joint angles for given link lengths and end effector position and orientation. But if location of point is ...
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Optimization of link lengths for 3R serial manipulator

I am trying to formulate an optimization problem for determining link lengths of 3R manipulator shown in picture below, Following are the constraints, Robot arm should be reachable at point x = 100, ...
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How can serial manipulator have unique condition number for given end effector position?

I am reading about Condition Number which is considered as measure of manipulability of robotic arm, it is defined as $$ k = \parallel J \parallel \parallel J^{-1} \parallel $$ Where, $$ \parallel J \...
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3 answers
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DH Parameters with offset base

I'm looking at a pan tilt (RR) system. I want to define the kinematics between a world frame and the end effector. Every example I've seen looks at the world frame as being at the first joint (the ...
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Beginners guide to Inverse Kinematics for biped robots? [closed]

I'm building a LynxMotion Scout biped and believe that IK are the best way to develop an effective gait. I'm a mechanical design engineer - I currently have minimal skills / experience with ...
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5 votes
3 answers
739 views

Confusion in fixing DH frames

I am analyzing a concept of a surgical robot with 4 revolute joints and one sliding joint. I am not able to fix the coordinate frame for last prismatic joint. Following are the schematics of robot and ...
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Holonomics Movement vs Holonomics Constraint

I'm reading Mechanics of Robotic Manipulation by Matthew T Mason and I stumbled upon the concept of kinematic constraints. The book mentioned about two types of constraints: holonomic and nonholonomic ...
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Extended Kalman Filter in robotics - Worth it?

I wonder if Extended Kalman Filter(EKF) is used in robotics, or is only Kalman Filter(KF) used in robotics. Kalman Filter is included in Linear Quadratic Gaussian(LQG) controllers. But how would EKF ...
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IMU measurement model

I read in this set of slides on p.11 that the IMU measurements, such as acceleration are affected by bias and noise, as expressed in this equation: $_B \mathbf {\tilde a} _{WB}(t) =\ \mathbf R_{BW}(...
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DH- Parameters of BCN3D Arm

Consider the following Arm: https://www.bcn3dtechnologies.com/en/bcn3d-moveo-the-future-of-learning/ I looked for the DH-Parameters of this arm and I found this: ...
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4 votes
1 answer
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How do CAD programs solve for Inverse/Forward Kinematics problem in Assembly?

I am trying to solve for the Forward kinematics of a spatial parallel manipulator. Its loop closure (LC) equations are pretty long, and are being solved using numerical methods. As I am adding more ...
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clarity in understanding the moment of inertia matrix D and Coriolisis and centripetal matrix C as per attached equations

Would appreciate if anyone could help me understand the how if equation 6 and 7 are derived. Helping with any one D22 and C32 would suffice.
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How rotate a point around an arbitrary line in 3D?

I have a body with origin at point A which is represented in homogeneous coordinate of matrix 4x4 and I would like to rotate it around an arbitrary vector in 3D space. I understand how to rotate the ...
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2 votes
2 answers
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Localization within a map with gyro, accelerometer and magnetometer

My goal is to locate precision within a known map. If the size of the map is known, a rectangle 4 x 3 m, and I know the initial position and orientation of the robot, after a certain period of time ...
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2 answers
524 views

Compensation for IMU mounting misalignment

I have an MPU6050 IMU and I would like to mount it on an FSAE car and use it to measure the yaw, pitch, roll, and angular velocities as it drives. As it's impossible to mount it perfectly flat and ...
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1 answer
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Understanding inverse kinematics with the Jacobian

I'm learning about inverse kinematics with Jacobians, and getting a little confused. So, let's say I have a robot arm with two joints with angles Y = (a, b) whose ...
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1 answer
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I need help figuring out what motor is used in this design

I am learning how to make rigs for high speed motion control. Basically, whatever action needs to be executed must be done by a rig that is triggered at an exact moment. In this particular case, I ...
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2 votes
1 answer
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Does Inverse Kinematics need the current joint angles?

I had a discussion with a study colleague about the IK solver. The question was: Does IK need the current joint values to calculate the requested position. I think it doesn't need it. From my ...
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Electronic Spring Vibrating Spheres

For a science project, I'm looking for a way to actuate a spring, connecting two ~ 1 cm Styrofoam spheres to each other, at frequencies around 1-60 Hz. In other words, I want to be able vibrate 2 ...
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3 answers
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Confusion about order of homogeneous transform multiplication

This is my first post here, so if I unknowingly vioated any rules, mods are welcome to edit my post accordingly. Ok, so my problem is that following Craig's conventions, I can't seem to find the ...
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1 answer
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How to create push and pull mechanism using Servo [closed]

How do I create a push and pull mechanism using a standard hobby servo? Eg. SG-5010 Preferably without the need of 3D printing.
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1 answer
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Real-time TCP position/pose control on a robotic arm such as YuMi: recommendation to calculate IK/Inverse Jacobian?

I plan to make a mouse or a gesture control robot like this video on YouTube : ABB Externally guided motion.  For a 6-axes robot, I could implement it by using ABB’s EGM (Externally Guided Motion) ...
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1 vote
1 answer
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Orocos KDL issue with Rotation (matrix) - Inverse Kinematics

I have a problem with the Orocos IK solver, especially with the KDL::Rotation matrix input. I try to call my KDL IK solver with a normal vector and a rotation. If I use the example values for the ...
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2 votes
3 answers
901 views

Forward kinematics equations

I'm stuck at computing forward kinematics equations. I have configuration of the first two joints like on the following image: Transformation from the origin to the first joint basis is trivial: ...
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1 vote
1 answer
90 views

How do the joint angles of a 4-legged impact the body's position with respect to the world frame?

For a four-legged robot (like Big Dog or the one shown here) how are the joint angles and "feet" position related to the body's frame in the world/inertial frame? For example, if I know the body's ...
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1 answer
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How big is the set of kinematics singularities?

Suppose we have an $n$-DOF robot manipulator and let $q \in \mathbf{R}^n$ denotes a robot joint configuration. Then a singular configuration $q'$ is a configuration at which the Jacobian $J(q')$ does ...
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1 answer
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Calculate Transformation between two point sets - but with constrained Degrees of Freedom

How can I calculate the rigid-body transformation [R|t] between two 3d triangles, but restricted to a given N degrees of freedom (for N = 1..6) ? I know for N=6 I can get a least-squares solution via ...
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1 vote
0 answers
92 views

Inverse kinematics for a robot lamp

I've been working on a robot lamp. Looking something like this: So i had a few questions. I've decided to simplify the movements by giving the head a fixed orientation like you see in the picture. ...
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1 answer
559 views

How to Calculate the Translational and Rotational Velocity of a 4 Wheeled Robot?

I have a robot with a 4 wheel drive using mecanum wheels to allow for more mobility. For the engineering documentation I am looking to find both the translational velocity and rotational velocity of ...
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4 votes
0 answers
2k views

Any free or paid software for graphical drawing of Robotics Kinematic Scheme? [closed]

I have been searching for days looking for a dedicated software for easily draw kinematic diagrams of robotics like this: I came by this software but it is a bit hard to grasp. Is there any GUI based ...
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1 answer
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Integrating Forward Kinematics Map

Let the forward kinematics map be denoted by $\mathcal{F}$ such that $\mathcal{F}: \theta \in \mathbb{R}^{n} \rightarrow g \in SE3$ Let the minimal representation of $g$ be given by $x \in \mathbb{R}...
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4 votes
1 answer
290 views

Velocity Relation for Parallel Robots

In my course of "Advanced Robotics" with "Fundamental of Robotic Mechanical Systems" as the reference book I saw the following equation as the velocity relation for parallel manipulators such as the ...
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2 votes
1 answer
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showing error while using inverse kinematics "ikine" for 4 dof robotic arm

I want to do forward dynamics but before that I got struck in inverse kinematics for 4 dof. My code is given below: ...
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2 votes
1 answer
5k views

Matlab Inverse Kinematics 6 DOF

I'm trying to write an inverse kinematics Matlab code for a 6 DOF robotic arm that has the following link parameters: Twist angle (alpha): [-90, 0, 90, -90, 90, 0] ...
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1 answer
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I found the matrices but can't find the inverse kinematics angles

I need to find inverse and forward kinematics of Mitsubishi RV-M2 as a homewrok. I found the forward kinematics part. But I got stuck in inverse kinematics. Teacher said we can think that wrist ...
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3 votes
1 answer
6k views

How to create Matlab Simulation for Kinematics of Differential Drive

I studied the forward and inverse Kinematics of the robot and got a clear understanding. I am in the progress of developing my matlab simulation for a two wheeled differential drive robot. The robot ...
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3 votes
2 answers
4k views

Derivative of a Jacobian matrix

I have an RRR planar robot: Its forward kinematics transform is: $$ {}^{0}T_3 = \\ \left[\begin{array}{cccc} \cos\!\left(\mathrm{\theta_1} + \mathrm{\theta_2} + \mathrm{\theta_3}\right) & - \sin\...
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3 votes
1 answer
1k views

What kinematic equations should I use for Kalman filter state propagation in IMU based quadcopter navigation?

I am working on implementing a Kalman filter for position and velocity estimation of a quadcopter using IMU and vision. First I am trying to use the IMU to get position and velocity. In a tutorial [1] ...
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0 votes
2 answers
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What is the top speed of a four legged robot? [closed]

In Neal Stephenson's novel "Snow Crash", a robotic/cybernetic creature known as a "Rat Thing" looses its bounds and runs to rescue another character. The Rat Thing is portrayed at moving over 700 ...
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1 answer
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Is there any robot stability control equation that describes the relation between velocity of the robot and its orientation?

Let’s assume at time t a moving robot (e.g. PIONEER 3-DX) changes it’s steering angle by $25^{\circ}$. Obviously, in order to maintain stability and avoid overturning, the robot must reduce its ...
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5 votes
3 answers
3k views

2DOF arm with quick movement: Stepper, servo, or DC motor?

To make a two degree of freedom arm capable of speeds needed to play air hockey, how should the arm be controlled? I'm wondering about speed vs accuracy. The following image is from a project ...
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6 votes
6 answers
2k views

Forward and Revers Kinematics For Modified Hanging Plotter

I'm building a modified version of the standard hanging plotter (v-plotter). The basic idea is that you have two cables hanging from stepper motors which form a triangle supporting the pen at the tip. ...
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3 votes
1 answer
260 views

Determining the graspable range of a robot arm

I have a 6 DOF robot arm, and I want to do some object grasping experiments. Here, the robot is rigidly mounted to a table, and the object is placed on a different adjacent table. The robot must pick ...
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1 vote
1 answer
456 views

Rostock Delta Robot 3D Printer Degrees of Freedom (DOF)

What is the degrees of freedom (DOF) of the Rostock delta robot 3d printer (delta mechanism that consists of three prismatic joints)? Here's the link to the delta mechanism I'm referring to: https://...
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12 votes
3 answers
23k 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 ...
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2 votes
2 answers
585 views

Distance calculation with two robots and two obstacles

I have a problem with two robots and two obstacles in a space. Each robot can communicate its measurements to the other and can measure angles and distances. The two obstacles in the environment are ...
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3 votes
2 answers
106 views

I'm looking for hands-on experience with different types of leg and hip designs for walking robots [closed]

I'm looking to find out, How do human-like legs compare to chicken legs and four-leg systems. In terms of cost, performance, speed, strength and accuracy. I'm interested in things like speed, agility,...
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8 votes
2 answers
3k views

Solving Inverse Kinematics with Gradient Descent

I am trying to implement my own inverse kinematics solver for a robot arm. My solution is a standard iterative one, where at each step, I compute the Jacobian and the pseudo-inverse Jacobian, then ...
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5 votes
3 answers
1k views

Computing the Jacobian Matrix -- chain rule?

I am learning about robot kinematics and the Jacobian matrix, and I'm trying to understand how to compute the Jacobian matrix given a kinematic chain, such as a robot arm. I understand the theory ...
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