Acceleration to displacement

[sanjayindia]

I understand that I need to double integrate to convert acceleration signal to displacement signal. If I have an acceleration signal at discreet times (no algebraic realtion to relate accelration to displacement), how do I double integrate? In other words i just have 2 colums, one with time and the other with acceleration. How do I double integrate? Please advice

 

[Gokul43201]

Can you, from the two existing columns, generate a third column that lists "instantaneous" velocities at those times ? Once you do that, repeat the algorithm to generate displacements for each interval. From these last numbers, you should be able to find the total displacement.

 

[kyle8921]

Thank you for your question. To convert an acceleration signal to a displacement signal, you will indeed need to perform a double integration. This process involves integrating the acceleration signal twice in order to obtain the displacement signal. However, since you only have the acceleration signal at discrete times and no algebraic relation to relate acceleration to displacement, you will need to use numerical integration methods.

One common method for numerical integration is the trapezoidal rule. This involves dividing the time interval into smaller intervals and approximating the area under the curve using trapezoids. The more intervals you use, the more accurate your result will be. Another method is the Simpson's rule, which involves approximating the curve with parabolic segments.

There are also software programs and tools available that can perform this double integration for you, such as MATLAB or Excel. These programs have built-in functions for numerical integration that you can use to convert your acceleration signal to a displacement signal.

It is important to note that numerical integration methods may introduce some error in the final result, so it is important to carefully consider the accuracy and precision needed for your specific application. I hope this information helps. Good luck with your research.