Free Vibration Analysis of Elastic Bodies for Six-Axis Force Sensor

Dezhang Xu, Zhihong Wang

School of Mechanical and Automotive Engineering, Anhui Polytechnic University, Wuhu, China.

DOI: 10.4236/jst.2013.31003                

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.

Keywords

Free Vibration; 6-AFS; Rectangular Plate; Circular Plate; Rayleigh-Ritz

Conflicts of Interest

The authors declare no conflicts of interest.

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