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In this chapter, a system for displaying the softness of different materials was pro-

mechanical properties of various materials were characterized by conducting mechan-

ical compression tests. These data were used by the processing software to actuate

the display. A Proportional-Integral-Derivative (PID) controller was designed and

optimized to control the shaft of the actuator to produce the same sensation of soft-

ness measured by the force sensor. Different materials were simulated by the tactile

display and compared to the real objects. Experiments were conducted on the tac-

tile display using human subjects and the results were recorded and presented. The

results showed that the developed tactile display can replicate the softness of mate-

rials very closely and has great potential for identifying and categorizing objects by

touch. In summation, it has proved to be a feasible technique with great potential use

in robotic surgery, training facilities, virtual reality and minimally invasive surgery

Chapter 6

Conclusion and Future Work

6.1

Conclusions

In this thesis, a novel inverse model program of estimating hyperelastic and hyper-

viscoelastic material parameters has been developed based on the FE model and

experiment of indentation using spherical indenters. MultiStart global optimization

with single and multi-objective function methods, based on the Nelder-Mead simplex

algorithm, have been employed for solving these inverse problems. Parameters of a

suitable hyperelastic model have been identified for two different closed cell foams,

namely EVA and B1. The validity of assuming frictionless contact between the in-

denter and foams during these indentation tests, as well as zero Poisson’s ratio for

closed cell foams, have been demonstrated using the same inverse model problem.

The effect of indentation depth and indenter size were also investigated in estimated

flexibility of this inverse method makes it suitable for general identification processes

where direct measurements are not easily applicable. Applicability of this method is

demonstrated on problem of hyper-viscoelastic material parameters identification for

bovine liver tissue. It has, however, been shown that the accuracy of parameter iden-

tification using inverse indentation modeling is sensitive to both indentation depth

and indenter size. It has also been shown that, by increasing the indentation depth,

the difference between identified parameters using different indenter sizes decreases

correspondingly.

Two methods of real time parameter identification were proposed for nonlinear

soft materials. The proposed methods were based on variance calculation and pa-

rameter estimation using the Kalman filter algorithm. Both the methods were based

on inverse FE modeling of spherical indentation test. The FE model of indentation

was pre-evaluated in feasible range of material parameters and used as a reference

data source for both the methods. Results are illustrated and compared in terms of

precision and computing time. It was found that the variance calculation method

required much less computation time compared to the Kalman filter method, which

makes it suitable for real time identification procedures at high indentation rates.

Although the Kalman filter method showed less scattering in identified parameters,

it was prone to failure and, in some cases, was unable to achieve good convergence

characteristics in contrast to the variance method. The proposed bounding methods

for the Kalman filter estimation were implemented and their results compared. It

certain estimation processes such as if the estimate is selected on the state space

boundary. However, during the normal identification processes, the Projection and

Penalty methods yielded better results compared to the Nearest Neighbor method.

The performance of both algorithms were assessed in material parameter identifica-

tion and was found to yield a performance success rate of greater than 90% based

on experiments in which random indentations (150 indentations per experiment) and

three different indentation rates were employed. It was also found that increasing

the indentation rate leads to more accurate and repeatable results, which perhaps is

due to the reduced time dependent behavior of the studied materials. Identification

results, from both the variance and Kalman filter methods, were found to be com-

parable. However the way these methods work leads to discrete estimate space for

the variance method and continuous space for the Kalman filter method with less

scattering.

A novel magneto-rheological fluid (MRF) based tactile display is proposed and its

magnetic FE model is constructed and validated by Gauss meter measurements. An

accurate finite element (FE) model of human finger pad is constructed and validated in

experiments of finger pad contact with soft and relatively rigid materials. Hyperfoam

material parameters of the identified elastomers from the Chapter 2 are used for

validation of the finger pad model. FE models of the human finger pad and the

proposed tactile display are used in a model based control scenario for the proposed

display. FE models of the elastomers developed in Chapter 2 are used for calculation

proposed display. Experiments are performed on biological tissue and soft nonlinear

foams. The results of experiments represented in this work show that the proposed

control model and the display design are suitable for tactile applications such as

displaying softness. Future work, such as recreation of softness for stiffer materials,

will necessitate the use of stronger electromagnetic and amplifier circuits.

A novel system for displaying the softness of nonlinear materials was proposed and

tested based on linear actuator. The main components consisted of a linear actuator,

a force sensor, and processing software for each of which a detailed description was

provided. Contact of human finger pad with the proposed display is modeled and

deformation in finger pad is considered for controlling the actuator.The mechanical

properties of various materials were characterized by conducting mechanical compres-

sion tests. These data were used by the processing software to actuate the display.

A Proportional-Integral-Derivative (PID) controller was designed and optimized to

control the shaft of the actuator to produce the same sensation of softness measured

by the force sensor. Different materials were simulated by the tactile display and com-

pared to the real objects. Experiments were conducted on the tactile display using

human subjects and the results were recorded and presented. The results showed that

the developed tactile display can replicate the softness of materials very closely and

has great potential for identifying and categorizing objects by touch. In summation,

it has proved to be a feasible technique with great potential use in robotic surgery,

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