Concise Syllabus

Overview of Vibration Control, Factors affecting level of vibration, Vibration reduction at the source, Vibration control by structural design, Selection of materials, Vibration control by additive damping, Dynamic Properties and Use of Viscoelastic Materials, Constrained Layer Damping, Dynamic vibration absorbers, vibration and shock isolators, Active vibration control, Use of Smart Materials for Vibration Control, Energy Harvesting Materials.

Lecture Wise Break Up

I. Overview of Vibration Control:

• Introduction, Quantitative Description of Vibration, Methods of Vibration Control, Basic System Parameters [4]

II. Vibration Reduction at the Source:

• Introduction, Balancing, Balancing of Rigid Rotors, Balancing Machines, Field Balancing, Balancing of
  Flexible Rotors, Vortex Induced Vibration, Detuning and Decoupling [6]

III. Vibration Control by Structural Design:

• Damping Models and Measures, Origin of Structural Damping, Damping-Stress Relationship, Selection Criteria for Linear Hysteretic Materials, Combined Fatigue-Strength Damping Criteria, Design for Enhanced Material Damping [8]

IV. Viscoelastic Materials for Vibration Damping:

• Standard Linear Solid – constitutive models, Stress-strain relationship, Complex Modulus, Frequency temperature  dependence of complex modulus, Representation of Complex Stiffness, Free Layer Damping, Constrained Layer Damping, Viscoelastic Joints, Bonded Rubber Springs [8]

V. Dynamic Vibration Absorbers:

• Introduction, Dynamic Vibration Neutralizers, Self-tuned Pendulum Neutralizer, Optimum Design of Damped Absorbers, Auxiliary Mass with Damper, Gyroscopic Absorber, Impact Absorber, Absorbers attached to Continuous Systems, Special types of Absorbers, Applications of DVA [6]

VI. Vibration Isolators:

• Introduction, Isolators with Complex Stiffness, Isolators with Coulomb Damping, Three Element Isolators, Two-stage Isolators, Suspension systems, Applications of Isolators [6]

VII. Active Vibration Control:

• Introduction to Closed Loop Control, Classical Control System, Piezoelectric Sensors and Actuators, Vibration Control of Flexible Beam, Energy Harvesting System [4]

References:

1. Active and Passive Vibration Control, Mallik and Chatterjee, 2014

2. Mechanical Vibrations, Den Hartog, 1956

3. Moheimani and Fleming – Piezoelectric Translators for Vibration Control and Damping, Spiringer

4. L. Meirovitch, Dynamics and Control of Structures

5. A. Preumont, Vibration Control of Active Structures : An Introduction, Kluwer Academic

6. D. J. Inman, Vibration with Control, Wiley

Concise Syllabus:

Introduction to Design, Generating Concepts, Concept Selection, Theory of Inventive Problem Solving, TRIZ, Analytical Methods of Engineering Design, Information, Entropy and it’s relation to Design, Axiomatic Design, One-FR Design, Multi-FR Design, Design of Systems, Product Design, Metric Design, Design for Manufacture and Assembly, Design for Environment, Design for Robustness, Optimal Design.

Lecture Wise Break Up

I. Introduction to Design:

• Fundamentals of Engineering systems, Functional interrelationship, Physical interrelationship, Systematic Design approach, problem solving as information conversion, Algorithmic design procedure [6]

II. Design Process:

• Steps of Conceptual Design, Establishing function structures, Methods with intuitive Bias, Method 635, Delphi, Synetics, Methods with Discursive Bias, Theory of Inventive Problem Solving (TRIZ), Application of TRIZ through Case studies of various mechanical system design, Estimating Technical Feasibility, Concept Selection Process, Pugh Concept Selection Charts, Measurement Theory, Numerical Concept Scoring, A Critique of Design Evaluation Scheme [10]

III. Axiomatic Design:

• Information, entropy and it’s relation to Design, Axiomatic Design, One-FR Design, Multi-FR Design, Design of Systems, Product Design, Axiomatic Quality of a Design [6]

IV. Embodiment Design:

• Steps of Embodiment Design, Principles of Force Transmission, Principles of the Division of Tasks, Principles of Stability and Planned Instability, Designing to allow for expansion, creep and relaxation, Designing for Production, Design for Ease of Assembly [8]

V. Physical Prototyping and Robust Design:

• Prototyping Essentials, Types of Prototypes, Uses of Prototypes, Rapid Prototyping Techniques, Scale, Dimensions Analysis, and Similitude Basics Method: Physical Prototyping Design and Planning, Quality Design Theory, Taguchi’s Methods, Probabilistic Design [8]

VI. Advances in Engineering Design:

• Sustainable Design, Why DFE? Environmental Objectives, Basic DFE Methods: Design Guideline, Life cycle Assessment, Techniques to Reduce Environment Impact, Intelligent System Design, Emergent System Design [4]

References:

1. AXIOMATIC DESIGN: Advances and Applications, Nam P Suh, MIT-Pappalardo Series in Mechanical Engineering 

2. PRODUCT DESIGN, Otto and Wood, Pearson Education

3. ENGINEERING DESIGN, G. Pahl and W. Beitz, The Design Council, London

Concise Syllabus

Brief Review of Basic State Space Control, Controllability, Observability, Dual System, Time- Varying System, Solution to Linear time varying Equation, Solution to linear state equation – with Inputs, Full State Feedback Control, Introduction to Optimal Control, Linear Quadratic Regulator, State-Variable Feedback, Output Feedback, Coupled Nonlinear Design Equations, Linear Quadratic Tracker, Optimal LQ Tracker, Conversion of an LQR to an LQ tracker, Output Feedback LQ tracker, Multivariable Frequency-Domain Techniques, Loop Transfer Recovery, Introduction to Robust Control, Matrices Lyapunov and Riccati Equations, Computing Transfer Functions Norms, Grammians and Linear System Behaviour, Modelling of uncertainty, Small Gain Theorem, Additive and Multiplicative uncertainty, Introduction to System Identification, ARX Models, Output Error Models, Noise Models and Prediction filters, Linear Black-box model parameterization, Adaptive Control, Self Tuning Regulators, Gain Scheduling, Automatic Tuning, Controller design, Estimator Issue, Interaction of Control and Estimation, Intelligent Control System, Neural network based System Identification.

Lecture Wise Break Up

I. Brief Review:

• Controllability, Observability, Dual System, Time- Varying System, Weighting Matrices, Definiteness Trace, Singularity, Inverse Transformations and Decompositions, Singular Value Decomposition, State Space Trajectories, Canonical form, Solution to Linear time Invariant Equations, Solution to Linear time varying Equation, Solution to linear state equation – with Inputs, Full State Feedback Control [4]

II. Optimal Control:

• Introduction, LINEAR QUADRATIC REGULATOR (LQR) - State-Variable Feedback, Linear Quadratic Performance Index, Optimal Time-Varying Feedback gain, Constant Feedback Gain, Guaranteed Stability of the LQR, Discrete-Time LQR Design Equations, Output Feedback, Coupled Nonlinear Design Equations, LINEAR QUADRATIC TRACKER - Optimal LQ Tracker, Conversion of an LQR to an LQ tracker, Output Feedback LQ tracker, Multivariable FrequencyDomain Techniques, Guaranteed Robustness of the LQR with State Feedback, Loop Transfer Recovery (LTR) [12]

III. Robust Control:

• Introduction, Matrices Lyapunov and Riccati Equations, Computing Transfer Functions Norms, Grammians and Linear System Behaviour, Modelling of uncertainty: the Linear Fractional transformation, Small Gain Theorem, Additive and Multiplicative uncertainty,  S, T and S+T Measure, Anlysis [6]

IV. System Indentification:

• Introduction, LINEAR DIFFERNCE ENQUATIONS – ARX MODELS - The Models, The Least Square Method, Output Error Models, Noise Models and Prediction filters, Linear Black-box model parameterization, Fitting Models to Data, Model Quality, Experiment Design, Model Validation and Model Selection, Software for System Identification.  [12]

IV. Adaptive Control:

• Introduction, Adjusting Many Parameters,  The Lyapunov Rule, Self Tuning Regulators, Gain Scheduling, Automatic Tuning, Controller design, Estimator Issue, Interaction of Control and Estimation, Intelligent Control System, Neural network based System Identification. [6]