TITLE:
Free Vibration Analysis of Elastic Bodies for Six-Axis Force Sensor
AUTHORS:
Dezhang Xu, Zhihong Wang
KEYWORDS:
Free Vibration; 6-AFS; Rectangular Plate; Circular Plate; Rayleigh-Ritz
JOURNAL NAME:
Journal of Sensor Technology,
Vol.3 No.1,
March
27,
2013
ABSTRACT:
Now the six-axis force sensor (6-AFS) is used widely,
and as the core components, mechanical properties of its elastic bodies are
significant. With the increase of dynamic loads, studies on dynamic
characteristics of the 6-AFS become more and more important. In this paper, the
study focuses on the free vibration problem of a novel 6-AFS. The research
approach is to decompose the sensor into several separate elastic bodies (four
lamellas and upper and lower membranes) and research these elastic bodies
respectively. The free vibration of the lamella is studied based on
Rayleigh-Ritz method and the separation of variables. The analytical solutions
of free vibration of the membranes are deduced according to the nature of
Bessel functions. Both the analytical results are simulated with MATLAB.
Compared the simulated diagrams with actual situations, they are very close.
The mode shapes obtained play a major role in solving the forced vibration of the
sensor.