Compensate for the displacement of an accelerometer measurement

AI Thread Summary
To measure lateral acceleration at a vehicle's center of gravity (CG) when the accelerometer is mounted 75 cm away, compensation methods are necessary. The discussion highlights the use of dynamic equations to calculate the acceleration at the CG by incorporating angular velocity and the sensor's position. Specific terms in the equation, such as angular velocity and relative position, are crucial for accurate compensation. Participants share tips and resources for further understanding the dynamics involved. Overall, the conversation emphasizes the importance of applying the correct mathematical principles to achieve accurate measurements.
rabun
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Hello
I want to measure the lateral acceleration at the center of gravity of a vehicle. I cannot place the accelerometer here since I cannot mount it properly so I have placed it 75 cm to the left of the CG. The longitudinal and and vertical placement is approximately correct.

It there som way to compensate for the misplacement of the sensor? so that the acceleration measured and corrected it the one experienced at the CG?

Tips, hints, papers, links and so on are more than welcome

Thank you kindly for any and all help
 
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Basic dynamics sir:

a_p=a_{cg}+\dot{\omega}_B \times r_s + \omega_B \times \left(\omega_B \times r_s \right) + 2\omega_B

Where

a_p is the acceleration at the point in question
\omega_B is the angular velocity of the body
r_s is the position of the sensor in question

google dynamics for acceleration at a point for an explanation of each term
 
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