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Introduction to Robotics

Overview of robotics – manipulators and field robots; robot mechanisms - serial chains, regional and orientational mechanisms, parallel chains, reachable and dexterous work space, mechanisms of wheeled and walking robots; spatial displacements, rotation matrices, Euler angles, homogenous transformation, D-H parameters, forward and inverse problems for serial and parallel manipulators; task planning – joint space and task space planning; sensors – joint displacement sensors, force sen- sors, range finders, vision sensors; actuators - electric motors - stepper, PMDC and brushless DC motors, p

Mechanics of Aerospace Structures

Structural components of aircraft – loads and material selection – introduction to Kirchhoff theory of thin plates – bending and buckling of thin plates – unsymmetric bending of beams – bending of open and closed thin walled beams – shear and torsion of thin walled beams – combined open and closed section of beams – structural idealization.

 

Linear Algebra and Perturbation Methods

Vector Space, norm, and angle – linear independence and orthonormal sets – row reduction and echelon forms, matrix operations, including inverses – effect of round-off error, operation counts – block/banded matrices arising from discretization of differential equations – linear dependence and independence – subspaces and bases and dimensions – orthogonal bases and orthogonal projections – Gram-Schmidt process – linear models and least-squares problems – eigenvalues and eigenvectors – diagonalization of a matrix – symmetric matrices – positive definite matrices – similar matrices – linear tr

Operations Research

Introduction – linear programming – revised simplex method – duality and sensitivity analysis – dual simplex method – goal programming – integer programming – network optimization models – dynamic programming – nonlinear programming – unconstrained and constrained optimization – nontraditional optimization algorithms.

Aerospace Materials And Processes

Properties of materials: strength, hardness, fatigue, and creep – Ferrous alloys: stainless steels, maraging steel, aging treatments – Aluminum alloys: alloy designation and tempers, Al-Cu alloys, principles of age hardening, hardening mechanisms, Al-Li alloys, Al-Mg alloys, nanocrystalline alu- minum alloys – Titanium alloys: α-β alloys, superplasticity, structural titanium alloys, intermetallics– Magnesium alloys: Mg-Al and Mg-Al-Zn alloys – Superalloys: processing and properties of super- alloys, single-crystal superalloys, environmental degradation and protective coatings – Composites:

Stochastic Mechanics And Structural Reliability

Basics of probability theory: axioms, definitions, random variable – probability structure of random variable – joint distributions – functions of random variables – some common random variables – random processes/random fields.

Structural reliability – fundamental concepts – first order reliability methods – second order reliability methods – probabilistic sensitivity – system reliability – simulation techniques – high dimensional model representation techniques for reliability analysis.

Fracture Mechanics And Fatigue

Linear elastic fracture mechanics; energy release rate, stress intensity factor (SIF), relation between SIF and energy release rate, anelastic deformation at the crack tip – J-integral, CTOD, test meth- ods for fracture toughness – crack growth and fracture mechanisms, mixed-mode fracture, fracture at nanoscale – numerical methods for analysing fracture, applications – fatigue and design against fatigue failure – prediction of fatigue life.

 

Molecular Dynamics And Materials Failure

Introduction – materials deformation and fracture phenomena – strength of materials: flaws, defects, and a perfect material, brittle vs. ductile material behavior, the need for atomistic simulations – ap- plications basic atomistic modeling – classical molecular dynamics – interatomic potential-numerical implementation – visualisation – atomistic elasticity, the virial stress and strain – multiscale model- ing and simulation methods – deformation and dynamical failure of brittle and ductile materials – applications.

 

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