Lecture 1, euler lagrange modelling

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Flashcards on Lecture 1, euler lagrange modelling, created by Jacob Brændstrup on 09/06/2023.
Jacob Brændstrup
Flashcards by Jacob Brændstrup, updated more than 1 year ago
Jacob Brændstrup
Created by Jacob Brændstrup over 2 years ago
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Question Answer
What is the euler lagrange equation?
What is the euler lagrange method? The euler lagrange method is a way to setup equations of motion for a system based on the systems kinetic and potential energy
What are generalized coordinates? Generalized coordinated is the minimal independent coordinates that can describe the configuration of the system at any time
Can you give an example of the the dynamics for this system?
Can you give an example of the energy equations for this system and the lagrangian?
What does the lagrangian look like if ge the system is not conservative? Generalized forces is added to the right side. It is called lagrange d'alembarts principle. The lagrangian dosnt change.
What is the equation for potential energy for a robot with n links?
What is this equation for A systems kinetic energy
How can you describe the systems gravity vector from its energys?
How can you write the lagrangian in terms of the systems energys?
How can you describe the dynamical model of a robot subject to external wrench at the end effector?
What does the geometric jacobian desc
How do you derive the geometric jacobian for a revolute joint?
Given the potential energy of each link, how do you find the entire systems potential energy? They can be added since they are all expressed in the base frame
Given the kinetic energy of each link, how can you compute the kinetic energy for the entire system? They can be added since they are expressed in the same base frame
How do you express the kinetic energy for a single link?
How can you find the inertia tensor in base frame?
What is the procedure for setting up a dynamic model?
What does the standard dynamic model structure look like?
Practice the example for a robot with two joints In lecture 1
How does a transformation matrix between frames look like?
What is the equation for position of frame?
What is the equation for velocity in the frame?
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