Hi everyone.
There's a MEMS sensor which has an accelerometer giving tri-axial angular velocity and linear acceleration. I wanted to measure the total kinetic energy which has 2 parts: translational and rotational part. K=0.5*m*V^2+0.5*Iw^2. I have the omegas (w) so I can measure the rotating part but I need to estimate the Eulerian framework velocities to get the translating part of the kinetic energy. I think I need to convert the Lagrangian acceleration values to Eulerian framework then with a filter (or an integral) Eulerain velocity can be estimated.
I'd be appreciate it if anyone could help me with the route to estimating velocity (Eulerian) to have the translational part for Kinetic energy.
Thanks
Hi Hamed,
You can integrate the acceleration to get the change in velocity but calculating a kinetic energy requires some choice of a reference for zero speed, the 'constant of integration'. Taking the sum of the squares of the components is then trivial and presumably you have a defined mass.
Dear George Dishman, thanks for your response. I also capture a movie for particle moving. The issue is how to convert Lagrangian acceleration to Eulerian velocity for measuring translational kinetic energy.
Ok Hamed, I missed the question. In that case perhaps example 2 of part 1.5 of this page might help but this topic is out of my experience:
http://web.mit.edu/13.021/demos/lectures/lecture2.pdf
Dear George Dishman Thanks for consideration.
but this lecture couldn't help since it's about introducing the Lagrangian and Eulerian derivatives. the thing is I need to change the reference frame from body reference to inertial. there are some methods like Quaternion, Euler angles,...
but I need an expert view on it if there's a need to use any filters and how to handle drift issue, noise and these stuff
thanks
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