Reference frame conversion for a moving sphere

In summary, the conversation discusses the challenge of estimating the total kinetic energy of a spherical particle using a MEMS sensor. The total kinetic energy is made up of two parts - translational and rotational - and the sensor output only provides angular velocity values. This means that an acceleration integral is needed to estimate linear velocity, but there are concerns about noise and drift in the data. The sensor also uses a body-framed reference instead of an inertial one, which further complicates the process of estimating linear velocity. The conversation ends with a suggestion to search for solutions online, as it is a common problem with a lot of existing literature.
  • #1
hfarhadi
3
0
Hi

here is the situation; There's a spherical particle contained with a MEMS sensor (3D accelerometer and gyroscope) moving down a bed. What we want is to estimate the total kinetic energy of the particle. The total kinetic energy has two parts, translational part and rotational part. for the translational part we need the norm of the linear velocity and for the rotational part the norm of the angular velocity is needed. the sensor output delivers the angular velocity values (3D) but no linear velocity. It seems we need to conduct an acceleration integral to estimate linear velocity but the noise and drift issue is there. Also the sensor is body framed reference not inertial. For linear velocity we need to have an Eulerian frame but the sensor output is in Lagrangian frame.

Does anyone has an idea on this?
 
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  • #2
hfarhadi said:
Does anyone has an idea on this?
It's a standard problem. Have you done any search on the web?
 
  • #3
A.T. said:
It's a standard problem. Have you done any search on the web?
Yes. there are some methods to convert frame references but I need to know how it really needs to be done and if there's any need for any filters how to solve the drift issue etc.
 
  • #4
hfarhadi said:
Yes. there are some methods to convert frame references.
I meant that specifically tracking motion from inertial sensors is a common problem, with tons of literature on it.
 
  • #5
A.T. said:
I meant that specifically tracking motion from inertial sensors is a common problem, with tons of literature on it.
Yeah, sure it is. but any idea/suggest/feedback on the case is welcome.
 

1. What is a reference frame conversion for a moving sphere?

A reference frame conversion for a moving sphere is the process of converting measurements or observations of a sphere's movement from one reference frame to another. This is necessary when the sphere is moving in relation to different observers or reference points.

2. Why is reference frame conversion important for studying moving spheres?

Reference frame conversion is important for studying moving spheres because it allows for accurate and consistent measurements and observations. Without converting to a common reference frame, there may be inconsistencies and errors in the data collected.

3. How is reference frame conversion for a moving sphere calculated?

The calculation for reference frame conversion for a moving sphere involves using mathematical equations to transform the measurements or observations from one reference frame to another. This often involves using the velocity and position of the sphere in each reference frame to make the conversion.

4. Can reference frame conversion be applied to any type of moving sphere?

Yes, reference frame conversion can be applied to any type of moving sphere as long as there is a way to measure or observe its movement in different reference frames. This can include spheres moving in a linear or circular path, or even spheres moving through different mediums.

5. Are there any limitations to reference frame conversion for a moving sphere?

There may be limitations to reference frame conversion for a moving sphere, depending on the complexity of the movement and the accuracy of the measurements or observations. Additionally, if the sphere is moving at extremely high speeds or in a non-uniform manner, the conversion may be more challenging and may introduce more errors.

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