Abstract

Continuum manipulators have gained significant attention in the robotic community due to their high dexterity, deformability and reachability. Modeling of such manipulators has been shown to be very complex and challenging. Despite many research attempts, a general and comprehensive modeling method is yet to be established. In this paper, for the first time, we introduce the bending effect in the model of a braided extensile pneumatic actuator with both stiff and bendable threads. Then, the effect of the manipulator cross section deformation on the constant curvature and variable curvature models is investigated using simple analytical results from a novel geometry deformation method and is compared to experimental results. We achieve 24% simulation accuracy using our constant curvature model for a braided continuum manipulator in presence of body load and 10% error using our variable curvature model in presence of extensive external loads. With proper model assumptions and taking to account the cross section deformation, an 8-20% increase in the simulation accuracy is achieved compared to a fixed cross section model. The presented models can be used for the exact modeling and design optimization of compound continuum manipulators by providing an analytical tool for the sensitivity analysis of the manipulator performance. Our main aim is the application in minimal invasive manipulation with limited workspaces and manipulators with regional tuneable stiffness in their cross section.

Highlights

  • Traditional limitations posed by conventional rigid linked robots, such as vast occupied space, rigidity, and relatively low dexterity, have resulted in an emerging trend during recent years for scientists to show increasing interest in the concept of continuum robots (Hirose and Mori, 2004)

  • Our approach to modeling of a continuum manipulator consists of a dynamic map, solving the strain translational (ξ) and rotational (ζ) rates based on the internal and external loads, and a kinematic map finding the manipulator geometry based on the strain rates

  • In this paper, supported by experimental validation using the real characteristics of a STIFF-FLOP module base, we present a new geometry deformation approach for comprehensive analytical modeling of compound continuum manipulators with braided extensile actuators under high external loading

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Summary

A Geometry Deformation Model for Braided Continuum Manipulators

A Geometry Deformation Model for Braided Continuum Manipulators. Continuum manipulators have gained significant attention in the robotic community due to their high dexterity, deformability, and reachability. Modeling of such manipulators has been shown to be very complex and challenging. The effect of the manipulator cross-section deformation on the constant curvature and variable curvature models is investigated using simple analytical results from a novel geometry deformation method and is compared to experimental results. We achieve 38% mean reference error simulation accuracy using our constant curvature model for a braided continuum manipulator in presence of body load and 10% using our variable curvature model in presence of extensive external loads.

INTRODUCTION
ROBOT HARDWARE DESIGN AND EXPERIMENTAL PROCEDURE
MODELING FRAMEWORK
Constant Curvature Kinematics
Principle of Virtual Work
Unit Deformation Energy
Braided Extensile Actuator
Simple Elongation
Geometry Deformation Method
General Deformation
Extension to Variable Curvature Model
Constant Curve Model Implementation
Variable Curvature Kinematics
SIMULATION AND COMPARISON
Helix Lead Angle Models
Comparison of Deformation Models for a Braided Actuator
Comparison of Pressure and Action Models for a Braided Actuator
Constant Curvature Model
Variable Curvature Model
Sensitivity Analysis
Findings
DISCUSSION
CONCLUSION
Full Text
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