# 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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### Obtaining state transition matrix for 16 dim state using Ackermann geometry

I've been trying to wrap my head arounnd the Ackermann geometry but I don't quite understand what the difference would be compared to the kinematic bicycle model in terms of the kinematic equations ...
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### Force sensors output when inclined

So here is the context: I am working on a motorcycle simulator. It consists of a motorcycle frame mounted on different actuators (see picture on the left). In particular, the two actuators at the ...
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### Why in forward bending knee orientation in quadruped legged robot require less torque in knee joint?

I'm trying to find answer in terms of physics explanation, why knee joint torque requirement is less in the forward bending leg orientation of a quadruped legged robot. I'm referring this article, in ...
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### Why do only Boston Dynamics WildCat and Cheetah robot has forward bending knee orientation? Backward Vs Forward bending knee orientation in robot leg [closed]

Why do Boston Dynamics-- WildCat and Cheetah robot has forward bending knee orientation design? Backward Vs Forward bending knee/ankle orientation design in quadruped legged robots. Hello, I'm ...
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### 3-links Robot Dynamic PD Computed Torque Control

I am designing the PD control of 3-links robot using Simulink. I can't figure out what to do in the 'Robot' block to get the acceleration d_qq back to calculate the error. What is happening in this '...
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### How to solve this basic dynamics/inverse kinematics problem

Suppose I have a 6-DOF robot arm with revolute joints whose tooltip is at some position $\bf{r_0}$ and I want to move it through some trajectory ${\bf r}(t)$. For simplicity, assume there are just 2 ...
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### 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 ...
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### Extract the potential energy from the gravity vector

I have a recursive Newton Euler algorithm from which I can compute the gravity vector. My question is, which is the better way to compute the potential energy? I know the following relation between ...
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### Defining the specifications required by a 6DOF robot to impose a harmonic sinusoidal motion

Perhaps a bit of a simple question, but since I don't have a background in robotics/engineering, then I imagine this would be the perfect place to ask such a question. I am buying a 6-DOF Stewart ...
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### Calculate time from 6DOF state space modeling of a quadcopter

I'm new here. I have the 6DOF state space representation of a quadcopter given below, \begin{align} \dot x(t) &= Ax(t) + Bu(t) \end{align} Where, $x(t)$ = State Vector, $u(t)$ = Input (or ...
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### Equations of motion with mass attached to end effector and external force

I have to find the equations of motion for the given manipulator: The links of the manipulator are considered weightless and the equations of motion have to be derived by using the Lagrange equations....
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### Holonomic constraints on an upright wheel

A wheel moving in free space has the six degrees of freedom of a rigid body. If we constrain it to be upright on a plane and to roll without slipping, how many holonomic and nonholonomic constraints ...
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### Implementing Dynamic Balancing on Robot Dog

I made a robot dog using Lewansoul LX-16a Smart Serial bus motors and a 3D printed body. I am using an Arduino Mega 2560 to control everything. I already have the inverse kinematics working. But for ...
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### what is difference between twist and classcial velocity

In ch 8.2.1 Classical Formulation in the book Modern Robotics by Frank C. Park I know some remarks about this formula.The origin of coordinate system is coincidence with the mass center of the rigid ...
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### perplexity about ch8.2.1 the linear dynamics, in the book <modern robotics>

From previous chapters, I think I have understand the twist, it is about the angular velocity and the linear velocity, the difference is that linear velocity is not one fixed point in the body but is ...
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### How to obtain generalized force due to moment?

I understand how to obtain the generalized force due to linear force, but the following picture gives the formula 2.82 to obtain the generalized force due to moment, how to demonstrate it pictures ...
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### 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 ...
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### Cartesian Stiffness Matrix and Complieance Matrix of Spherical Parallel Manipulator

In the article https://www.sciencedirect.com/science/article/abs/pii/S0094114X14000020, I came across the construction of a Cartesian stiffness matrix. On page 14 I see the components of the moments ...
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### how to find the kinematic and dynamic model of the mechanism

enter image description here 5 links 4 revolute joints find the kinematic and dynamic model ,link 3 should be horizontal with ground and one end of link 1 and 5 there are sliders enter image ...
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### 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 ...
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### Can workspace of a manipulator change after considering its dynamics?

As per my knowledge, the workspace of a manipulator can be determined if one knows the forward and inverse kinematics. But is it possible that the workspace of the manipulator can change after ...
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### 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 ...