Abstract

The main challenge in analyzing compliant sensor systems is how to calculate the large deformation of flexural complements. Our study proposes a new model that is called the spline pseudo-rigid-body model (spline PRBM). It combines dynamic spline and the pseudo-rigid-body model (PRBM) to simulate the flexural complements. The axial deformations of flexural complements are modeled by using dynamic spline. This makes it possible to consider the nonlinear compliance of the system using four control points. Three rigid rods connected by two revolute (R) pins with two torsion springs replace the three lines connecting the four control points. The kinematic behavior of the system is described using Lagrange equations. Both the optimization and the numerical fitting methods are used for resolving the characteristic parameters of the new model. An example is given of a compliant mechanism to modify the accuracy of the model. The spline PRBM is important in expanding the applications of the PRBM to the design and simulation of flexural force sensors.

Highlights

  • A flexural force sensor is a mechanism that uses the deformation of its flexible components to gain force signals

  • In order to test the accuracy of the spline pseudo-rigid-body model (PRBM), this study presents its application to a compliant mechanism

  • This study proposed a spline PRBM based on dynamic spline and the 2R RPBM

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Summary

Introduction

A flexural force sensor is a mechanism that uses the deformation of its flexible components to gain force signals. Compliant mechanisms possess many advantages for expense reduction and performance improvement of sensor function, such as fabrication processes, wear, friction, and noise reduction. All of these characteristics make compliant mechanisms promising candidates to be used in force sensor systems [1,2,3]. Su [18] proposed a 3R PRBM, which improved the simulation of the flexural component with combined loads. In Reference [20], a Prismatic-Revolute-Revolute (PRR) PRBM with a sliding link and two rotating links was proposed to simulate beam in large deformation with combined moment loads and end force.

Dynamic Splines
RR Pseudo-Rigid-Body Model
Spline Pseudo-Rigid-Body Model
Equations of Motion with Dynamic Spline Model
Kinematic Equations
Static Equations
Optimal Characteristic Parameters
Optimal Spring Stiffness Coefficients
An Example of Application
Conclusions
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