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AN 001
Free-fall Sensing for Drop-Force Modeling Using
Kionix MEMS Tri-Axis Accelerometer
36 Thornwood Dr. - Ithaca, NY 14850
tel: 607-257-1080 — fax: 607-257-1146
www.kionix.com — info@kionix.com
© Kionix 2015
8 July 2015
Page 1 of 4
Introduction
This application note describes how to use a Kionix MEMS tri-axis accelerometer as a
free-fall sensor for drop force modeling applications. Required theory, equations,
and sample event signatures are provided with this note as guidelines for
characterizing drop force models.
Free fall Sensing
When a tri-axis accelerometer is stationary, its total acceleration it measures is 1g
(9.8m/s
2
), regardless of orientation. This total acceleration can be calculated from
the X, Y, and Z outputs of the accelerometer using Equation 1 below. When a tri-
axis accelerometer is dropped in any orientation, it is in free-fall and the measured
acceleration on all three axes is 0g. Therefore, the total acceleration is zero as well.
Total acceleration can be monitored to sense that the accelerometer has been
dropped, and to measure its free-fall time. Note that this signature cannot
accurately be observed when using a dual axis accelerometer because, when
horizontally oriented, the X and Y-axis outputs are the same (0g), whether the
accelerometer is stationary or in free-fall.
Equation 1: Total Acceleration
The Drop Test
The purpose of the drop test was to address a product warranty situation in which a
manufacturer guarantees that a product will survive a 4ft (1.219m) drop to concrete.
A Kionix KXM52 equipped development board was used to conduct this experiment.
The development board sends the analog accelerometer outputs to a Texas
Instruments MSP430F149 micro for ADC, and transmits via serial port to a PC for
data logging, processing, and plotting. Please refer to the Kionix application note
entitled “AN002 Interfacing the Kionix KXP94 or KXR94 Tri-Axis Accelerometer with
the Texas Instruments MSP430F149 Microprocessor to Measure Tilt and Other
Motions” for a detailed description of the Kionix development board used in this
experiment.
The Kionix development board was mounted in a metal project box such that the
accelerometer was located near the center of mass. Mounting near the center of
mass will ensure that centripetal accelerations remain negligible throughout the
experiment. With the PC logging data at a rate of 250 samples per second, the
enclosure was dropped from a height of approximately 4ft. The logged total
acceleration data for the entire event was plotted over time in order to observe the
signature in Figure 1 below. For this calculation, the total time in free-fall was
considered to be the interval of time between the point at which the object crossed
.5g on the way to free-fall to the point at which the object again crossed .5g upon
impact.