Computer Solution of Linear Algebraic Systems. By G. Forsythe and C. B. Moler. Pp. xi, 148. 1967. (Prentice-Hall.)

Thank you for downloading some basic problems of the mathematical theory of elasticity. As you may know, people have search hundreds times for their favorite readings like this some basic problems of the mathematical theory of elasticity, but end up in infectious downloads. Rather than reading a good book with a cup of coffee in the afternoon, instead they cope with some infectious bugs inside their computer.

Some Basic Problems Of The Mathematical Theory Of Elasticity

Ionic polymer metal composites (IPMCs) are electroactive materials composed of a hydrated ionomeric membrane that is sandwiched between noble metal electrodes. Here, we propose a modeling framework to study quasi-static large deformations and electrochemistry of IPMCs. Specifically, IPMC kinematics is described in terms of its mechanical deformation, the concentration of mobile counterions neutralizing the ionomer, and the electric potential. The chemoelectromechanical constitutive behavior is obtained from a Helmholtz free energy density, which accounts for mechanical stretching, ion mixing, and electric polarization. The three-dimensional framework is specialized to plane bending of thin IPMCs. Hence, we propose a structural model, where the moment and the charge stored along the IPMC are computed from the solution of a modified Poisson–Nernst–Planck system, in terms of the through-the-thickness coordinate. For small static deformations, we present a semianalytical solution based on the method of matched asymptotic expansions, which is ultimately used to study IPMC sensing and actuation. We demonstrate that the linearity of IPMC actuation in a broad voltage range could be attributed to the interplay of two competing nonlinear phenomena, associated with Maxwell stress and osmotic pressure. In agreement with experimental observations, our model confirms the possibility of tailoring IPMC actuation by varying the counterion size and the concentration of fixed ions. Finally, the model is successful in predicting the significantly different voltage levels displayed by IPMC sensors and actuators, which are associated with remarkable variations in the ion mixing and polarization energies.

Mechanics and electrochemistry of ionic polymer metal composites

A Review on Compliant Joints and Rigid-Body Constant Velocity Universal Joints Toward the Design of Compliant Homokinetic Couplings

Robotic micromanipulation is a relatively young field. However, after three decades of development and evolution, the fundamental physics; techniques for sensing, actuation, and control; tool sets ...

Robotic Micromanipulation: Fundamentals and Applications

In this paper, a microsystem with prescribed functional capabilities is designed and simulated. In particular, the development of a straight line path generator MEMS device is presented. A new procedure is suggested for avoiding branch or circuit problems in the kinematic synthesis problem. Then, Ball’s point detection is used to validate the obtained pseudo-rigid body model (PRBM). A compliant Micro Electro Mechanical System (MEMS) device is obtained from the PRBM through the rigid-body replacement method, by making use of Conjugate Surfaces Flexure Hinges (CSFHs). Finally, the functional capability of the device is investigated by means of FEA simulations and experimental testing at the macroscale.

Kinematic Synthesis of a D-Drive MEMS Device through the Rigid-Body Replacement Method

This paper describes the design, simulation, construction process and experimental analysis of a microgripper, which makes use of a new concept hinge, called CSFH (Conjugate Surfaces Flexure Hinge). The new hinge combines a curved cantilever beam, as flexible element, and a pair of conjugate surfaces, whose contacts depend on load conditions. CSFHs improve accuracy and guarantee that minimum stress conditions hold within the flexible beam. This microgripper is designed for Deep Reactive-Ion Etching (DRIE) construction process and comb-drive actuation. Theoretical basis and Finite Element Analysis (FEA) simulations have been employed in order to predict the feasibility of the device under construction. Finally, some experimental evidence of the construction process has been provided.

Simulation and construction of a mems CSFH based microgripper

Effect of initial curvature in uniform flexures on position accuracy

In this paper, the viscoelastic characterization of biosamples is addressed considering a measuring technique relying on the use of a MEMS techonology-based microgripper. A proper mechanical model is developed for the coupled nonlinear dynamics of the microsystem, composed of the measuring tool and the specimen to be analyzed. The Maxwell liquid drop model and the generalized Maxwell-Wiechert model are considered for the sample, and the identification of the viscoelastic parameters is performed by implementing a genetic algorithm.

A genetic algorithm-based method for the mechanical characterization of biosamples using a MEMS microgripper: numerical simulations.

A new plane parallel micro-manipulator is presented in this paper, together with the numerical procedure that has been used in order to optimize some kinetostatic performance indices, among which the kinematic condition number and the mechanical advantage. The approach is based on a refined simplification of the direct kinematic problem and it is applied to the pseudo-rigid body model of the original compliant mechanism, with an acceptable approximation. The method has been iterated several times to evaluate a fitness function that has been used by an Evolutionary Method of computation for the search of global optimum, namely, a Genetic Algorithm. The results will be used for refining the geometric design of the parallel micro-manipulator, which will be built by means of MEMS-Based technologies in silicon.

https://ieeexplore.ieee.org/iel7/6598373/6617553/06617600.pdf

Matteo Verotti

Papers

Kinematic Synthesis of a D-Drive MEMS Device through the Rigid-Body Replacement Method

Simulation and construction of a mems CSFH based microgripper

Effect of initial curvature in uniform flexures on position accuracy

A genetic algorithm-based method for the mechanical characterization of biosamples using a MEMS microgripper: numerical simulations.

Kinetostatic optimization of a MEMS-based compliant 3 DOF plane parallel platform