Finite Element Methods in Mechanical Design



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ED 9121 FINITE ELEMENT METHODS IN MECHANICAL DESIGN (Common for M.E Degree Programs in Engineering Design, CAD & PDD streams) L T P C 3 1 0 4 OBJECTIVE: At the end of this course the students would have developed a thorough understanding of the basic principles of the finite element analysis techniques with an ability to effectively use the tools of the analysis for solving practical problems arising in engineering design UNIT I GENERAL INTRODUCTION * 10 Introduction- structural element and system- assembly and analysis of a structureboundary conditions- general pattern- standard discrete system- transformation of coordinates- examples – direct physical approach to problems in elasticity- direct formulation- displacement approach – minimization of total potential- convergence criteria – discretization error- nonconforming elements and patch test- solution process- numerical examples UNIT II GENERALIZATION OF FINITE ELEMENT CONCEPTS AND ELEMENT SHAPE FUNCTIONS* 7 Boundary value problems – integral or weak statements- weighted residual methodsGalerkin method- virtual work as weak form of equations in solid and fluid mechanics- variational principles – establishment of natural variational principles for linear self-adjoint differential equations –standard and hierarchical elements- shape functions- rectangular elements- completeness of polynomials- Lagrange familySerendipity family- rectangular prisms- tetrahedral elements- global and local finite element approximation- mapped elements- coordinate transformations- geometrical conformity of elements- evaluation of element matrices- transformation in ξ ,η andζ − coordinates-order of convergence- numerical integration –example problems UNIT III APPLICATIONS TO FIELD PROBLEMS * 9 Solution to problems in linear elasticity- plane problems in elasticity- plates and shells- solution of problems in heat-transfer and fluid mechanics- numerical examples- discussion on error estimates UNIT IV FINITE ELEMENTS IN STRUCTURAL DYNAMICS AND VIBRATIONS ** 10 Dynamic equations- stiffness, mass and damping matrices- consistent and diagonal mass matrices- Extraction of natural frequencies and modes- Reduction of number of degrees of freedom - modal methods - component mode synthesis- harmonic analysis- response history- explicit and implicit direct integration- stability and accuracy- analysis of response spectra- example problems UNIT V NON-LINEAR ANALYSIS *** 9 Non-linear problems in elasticity- some solution methods- plasticity: introduction, general formulation for small strains- formulation for von Mises theory- computational procedure- problems of gaps and contact- geometric non-linearity- modelling considerations Total 45 + 15 = 60 Hours 8 First printed in India 2007. 2. “The Finite Element Method in Engineering”.T.. and Witt. Authorized reprint by Wiley India(P) Ltd. Rao. J. boundary conditions. Huebner.R. S. ISBN: 9812-53-154-8 7..& Zhu. Fourth Edition. ButterworthHeinemann(An imprint of Elsevier). REFERENCES: 1. Butterworth-Heinemann (An imprint of Elsevier). published by Elsevier India Pvt. New Delhi.D. Plesha.John Wiley&Sons(Asia)Pve.E. Dewhirst.O. “Finite Element Method in Machine Design”. Ltd. Narosa Publishing House. January 2009.C. Published by Elsevier India Pvt.K. Wiley Student Edition. ISBN: 978-81-7319-965-3 9 . choice of elements.L. Taylor..Z “The Finite Element Method: Its Basis & Fundamentals”. Indian Reprint ISBN: 978-81-8147-885-6 6. and basic procedures only need to be emphasized without expecting a complete numerical solution to practical problems.H.C. *Zienkiewicz.Ltd. First Reprint 2007. R. 4th Edition.. D.L “The Finite Element Method” McGraw Hill International Editions. V..N. Reddy.NOTE At the post-graduate level of instruction the contact hours are to be supplemented by self study by students. Ramamurthi. Fourth Edition 2004. Volume 2 (Chapters 7&8) 4. modelling considerations.D. New Delhi. Wiley Student Edition. Ltd.. Oxford Uniiversity Press. 2008 5..M..L.2007.R.J “ Concepts and Applications of Finite Element Analysis”.S.R. Taylor. “The Finite Element Method for Engineers”... New Delhi. loading conditions.S. “Introduction to Non-Linear Finite Element Analysis”.. **Cook. As for the examination. ISBN-13 978-81-265-1336-9 3.Smith. *** Zienkiewicz. 1991.E & Byron. India Reprint ISBN:978-81-312-1118-2. reprinted 2006.J. Malkus...O.D.G. W.To understand the various Vibration control strategies UNIT I FUNDAMENTALS OF VIBRATION 10 Introduction -Sources Of Vibration-Mathematical Models. S. V. – “Theory of Vibration with Applications”. Thomson.2007 10 . System Identification from Frequency Response -Testing for resonance and mode shapes Total 45 + 30 = 75 Hour ** a Term Project must be given for Assessment – 3 (Compulsory) TEXT BOOK: 1. Kudari.harmonic Excitations – Transient Vibration –Impulse loads-Critical Speed Of Shaft-Rotor systems.T. Lanczos method .To understand the Fundamentals of Vibration and its practical applications. and Holzer Method Geared Systems-Eigen Values & Eigen vectors for large system of equations using sub space.-Dynamic Vibration Absorber.ED 9122 VIBRATION ANALYSIS AND CONTROL** L T P C 3 0 2 4 OBJECTIVE: (i).” Mechanical Vibrations. Shafts and Beams UNIT IV VIBRATION CONTROL 9 Specification of Vibration Limits –Vibration severity standards. 2000..Active Vibration Control UNIT V EXPERIMENTAL METHODS IN VIBRATION ANALYSIS 10 Vibration Analysis Overview . “Mechanical Vibration Practice with Basic Theory”. 2. Rayleigh’s. Tata McGraw –Hill Publishing Com.Continuous System: Vibration of String. Narosa. 2. UNIT II TWO DEGREE FREEDOM SYSTEM 7 Introduction-Free Vibration Of Undamped And Damped. Ramamurti. (ii). New Delhi. Torsional and Pendulum Type Absorber.Damped Vibration absorbers-Static and Dynamic Balancing-Balancing machines-Field balancing – Vibration Control by Design Modification.” Addison Wesley Longman. velocity and Acceleration.. Electromagnetic And Electrodynamics –Frequency Measuring Instruments-. Rao. 1995. “Mechanical Vibrations”.Forced Vibration With Harmonic Excitation System –Coordinate Couplings And Principal Coordinates UNIT III MULTI-DEGREE FREEDOM SYSTEM AND CONTINUOUS SYSTEM 9 Multi Degree Freedom System –Influence Coefficients and stiffness coefficientsFlexibility Matrix and Stiffness Matrix – Eigen Values and Eigen Vectors-Matrix Iteration Method –Approximate Methods: Dunkerley. CBS Publishers and Distributors. Hydraulic.S. New Delhi. -Vibration Exciters-Mechanical. 1990 REFERENCES: 1.Selection of Sensors. Ltd New Delhi.To understand the working principle and operations of various vibrations Measuring instruments (iii).Experimental Methods in Vibration Analysis.Displacement.Response To Arbitrary and non.-Vibration Measuring Instruments .Accelerometer Mountings.Review Of Single Degree Freedom Systems -Vibration isolation Vibrometers and accelerometers -. S. Graham Kelly & Shashidar K.Vibration as condition Monitoring tool-Vibration Isolation methods. 1999. Prentice Hall. geared five bar and six bar linkages. Pennock. Mechanism defects. Dimensional synthesis – function generation. 2. Amitabha Ghosh and Asok Kumar Mallik. Graphical methods-Pole technique-inversion technique-point position reduction-two. G. V. Waldron. slider crank.. motion generation. 2005.G. three and four position synthesis of four. COUPLER CURVE 9 Fixed and moving centrodes.O. Robert L. Plane complex mechanismsauxiliary point method.Tata McGraw Hill. 4. Kenneth J. Network formula – Gross motion concepts-Basic kinematic structures of serial and parallel robot manipulators-Compliant mechanisms-Equivalent mechanisms. 3. “Design of Machinery”. 2005. Delhi. graphical constructions – cubic of stationary curvature. J. “Advanced Mechanism Design Analysis and Synthesis”.determination of optimum size of cams. Design of six bar mechanisms-single dwell-double dwell-double stroke. 2005. Oxford University Press. multi loop kinematic chains. Sandor G. Dynamics and Design of Machinery”. inflection points and inflection circle. Uicker. 5.. EWLP.ED 9123 MECHANISMS DESIGN AND SIMULATION** L T P C 3 0 2 4 UNIT I INTRODUCTION 9 Review of fundamentals of kinematics-classifications of mechanisms-components of mechanisms – mobility analysis – formation of one D. Spatial RSSR mechanism-Denavit-Hartenberg Parameters – Forward and inverse kinematics of robot manipulators. 6.E. Four bar coupler curve-cusp-crunode-coupler driven six-bar mechanisms-straight line mechanisms UNIT IV SYNTHESIS OF FOUR BAR MECHANISMS 9 Type synthesis – Number synthesis – Associated Linkage Concept.. “Mechanics of Machines”. 1999. UNIT V SYNTHESIS OF COUPLER CURVE BASED MECHANISMS & CAM MECHANISMS 9 Cognate Lingages-parallel motion Linkages.F.Norton. Analytical methods for velocity and acceleration Analysis– four bar linkage jerk analysis. “Theory of Mechanism and Machines”. UNIT III PATH CURVATURE THEORY. UNIT II KINEMATIC ANALYSIS 9 Position Analysis – Vector loop equations for four bar. “Kinematics. J. R. Cam Mechanisms. path generation. Ramamurti. Kinzel. 11 . Gary L. Euler Savary equation.N. and Shigley. and Erdman A.J.Freudenstein’s Equation-Bloch’s Synthesis. 1984. “Theory of Machines and Mechanisms”. Study and use of Mechanism using Simulation Soft-ware packages.. inverted slider crank.. Narosa. Geared five bar mechanism-multi-dwell. John Wiley-sons.bar mechanisms. Analytical methods.. Students should design and fabricate a mechanism model as term project. Note: Tutorial/Practice: 30 Hrs ** Total 45 + 30 = 75 Hrs a Term Project must be given for Assessment – 3 (Compulsory) REFERENCES: 1. 3. Prentice-Hall of India.MA 9106 APPLIED MATHEMATICS FOR ENGINEERING DESIGN Common to M. B..E. B. R.S.V. 2005. L. 2003.. (CAD)/M. 2. A. 1997. 2007. O'Neil. (PDD) L T P C 3 1 0 4 UNIT I 2 – D RANDOM VARIABLES 9 Joint distributions – Marginal and Conditional distributions – functions of two – dimensional random variables – Regression curve . Grewal. James.S. Higher Engineering Mathematics. Grewal. Ltd. 2006. G. 3rd edition. 3 .Correlation. 2004. New Delhi. Numerical methods in Engineering and Science. Design)/M. 40th edition. divergence and curl UNIT IV CALCULUS OF VARIATION 9 Variation and its properties – Euler's equation – functionals dependent on first and higher order derivatives – functionals dependent on functions of several independent variables – problems with moving boundaries – direct methods – Ritz and Kantorovich methods UNIT V FAST FOURIER TRANSFORM 9 Discrete Fourier transform – linearity and periodicity – inverse N-point DFT – DFT approximation of Fourier coefficients – sampled Fourier series – Approximation of Fourier transform by an N-point DFT – FFT – Computational efficiency of FFT Total: L: 45 + T: 15 = 60 REFERENCES: 1. Pearson Education. (Engg. Calculus of variations with applications.. L. P. Singapore. Prentice Hall of India. 4. Gupta. 7th edition. Andrews. 6.. and Philips. Mathematical Techniques for Engineers and Scientists. Thomson Asia Pvt..C..E.E. Khanna Publishers. Advanced Modern Engineering Mathematics. 5.S. Khanna Publishers. UNIT II COMPUTATIONAL METHODS IN ENGINEERING 9 Boundary value problems for ODE – Finite difference methods – Numerical solution of PDE – Solution of Laplace's and Poisson equation – Liebmann's iteration process – Solution of heat conduction equation by Schmidt explicit formula and CrankNicolson implicit scheme – Solution of wave equation UNIT III TENSOR ANALYSIS 9 Summation convention – Contravariant and covariant vectors – contraction of tensors – inner product – quotient law – metric tensor – Christoffel symbols – covariant differentiation – gradient. Advanced Engineering Mathematics. non-return and safety valves .industrial circuits .design and selection of components . K. Dudleyt. Jaico Publishing House. 2006 (Reprint 2009) 30 .press circuits .control elements. Linear and Rotary Actuators – selection.cascade methods . 5. 1997.accumulator circuits .ED 9164 DESIGN OF HYDRAULIC AND PNEUMATIC SYSTEMS LT P C 3 0 0 3 5 UNIT I OIL HYDRAULIC SYSTEMS AND HYDRAULIC ACTUATORS Hydraulic Power Generators – Selection and specification of pumps. pump characteristics.combination circuit design. UNIT IV PNEUMATIC SYSTEMS AND CIRCUITS 16 Pneumatic fundamentals .design calculations – application fault finding .. 1980. position and pressure sensing .Chand & Co Book publishers. Bolton. Butterworth –Heinemann.fringe conditions modules and these integration sequential circuits .grinding.use of microprocessors for sequencing PLC.selection of components . 4. “Pneumatic and Hydraulic Systems “. Low cost automation . “Fluid Power with Applications”.mapping methods . Pease and John J. 1987. Pippenger. 3. Prentice Hall.direction and flow control valves . specification and characteristics. planning. 1999. Antony Espossito. Prentice Hall. A. synchronizing circuits .step counter method compound circuit design .hydraulic milling machine .Shanmuga Sundaram. quick return. W. “Basic fluid power”. 2. copying. “Hydraulic and Pneumatic Controls: Understanding made Easy" S.hydro pneumatic circuits . UNIT III HYDRAULIC CIRCUITS 5 Reciprocation. earth mover circuits.switching circuits . sequencing. . UNIT II CONTROL AND REGULATION ELEMENTS 12 Pressure . New Delhi. Total 45 REFERENCES: 1.logic circuits .safety and emergency mandrels.actuation systems.relief valves.forklift. “Hydraulic and Pneumatics” (HB). MAINTENANCE AND SPECIAL CIRCUITS 7 Pneumatic equipments. Andrew Parr.Robotic circuits. UNIT V INSTALLATION. Poor maintainability aspects .“Design for Maintenance” .ED 9166 MAINTENANCE ENGINEERING LTPC 3 0 03 8 UNIT I INTRODUCTION TO MAINTENANCE SYSTEMS Introduction to repair and Maintenance -Maintenance as business . predictive or proactive systems .Ladder of Maintenance improvementComputerized Maintenance management system in a business scenario.Integrated approach to Maintenance. gamma and “Weibull” in Maintenance.Relationship between OEE and world-class Maintenance.PERT network during shut down -Man power Training and utilization of skilled manpower Sequencing of activities.Vibration instruments -Outline on Thermography UNIT III MAINTENANCE TECHNIQUES SUCH AS RELIABILITY CENTRED MAINTENANCE(RCM). d) Oil and lubricant analysis. UNIT II CONDITION BASED MAINTENANCE 7 Condition based monitoring of equipment and systems -condition monitoring techniques such as a) Vibration analysis. .Statistical distributions such as normal. Overall Equipment Effectiveness-Lean manufacturing.Mean time between failures. .Fault Tree Analysis . bar charts .Inherent and overall availability. .Maintenance effectiveness. two bin systems . preventive.Total Productive Maintenance.Latest trends in monitoring through bar codes.Testability and supportability . mean time to repairs and mean down time . mobile computer and wireless data transmissions -.TPM and TPO. e) Motor condition monitoring (MCM) Shaft alignments through laser . Different aspects of planning and scheduling of Maintenance.Conventional spare Parts management techniques such as Economic Order Quantity. TOTAL: 45 32 .TOTAL PRODUCTIVE AINTENANCE(TPM)& CMMS 10 Reliability centred Maintenance-Failure Mode and Effect Analysis-Root cause Analysis.Hazard analysis -General rules and guidelines in safety and hazard prevention . such as shutdownsCritical aspects of both routine and shut down Maintenance -.Human resources management in Maintenance management -maintainability.logic tree analysis-Criticality matrix . UNIT IV ASSET PLANNING AND SCHEDULING OF ACTIVITIES IN MAINTENANCE 10 Asset and spare part management.Sneak Circuit analysis .Maintenance systems such as reactive.data acquisition for effective management of CMMS.Design for reliability.Hazard analysis.Analytical tools . c) Thermography. b) Ultrasonic detection techniques. UNIT V SAFETY AND OTHER ASPECTS OF MAINTENANCE FUNCTIONS 10 Safety Engineering. Kelly. Smith. “Maintenance Engineering and Management”: K. David J. AITBS Publishers & Distributors.Venkataraman-PHI Learning2007 REFERENCES: 1.. “Safety Management”.2nd Edition. M. 1978 2. J.Simonds. 3. Butter worth & Co. John V. Gwidon W Stachowiak and Andrew W. 2001 4. A and Harris.Grimaldi & Rollin H. Butterwork-Heinmann. McMillan. “Reliability and Maintainability in Perspective”. 2001 33 . “Management of Industrial maintenance”.TEXT BOOK: 1. Batchelor. “Engineering Tribology”. 1985. Andreas Gebhardt.Development of RP systems – RP process chain .ED9171 UNIT I RAPID PROTOTYPING AND TOOLING INTRODUCTION LTPC 3 0 0 3 7 Need . limitations and applications . CRC Press. products. 2. Hilton/Jacobs. aerospace and electronic industries. Total Periods: 45 TEXT BOOK: 1.Liou.. products. advantages. Liou W.Virtual prototyping. and Lim C. Peter D. 2003.Applications – Digital prototyping . 2000. Electron Beam Melting: Processes. second edition.automotive. Leong K. advantages. Applications. Hanser Gardener Publications. surface and solid modeling – data formats . applications and limitations – Case Studies.S. Support structure design. Production tooling. Case studies . Data Requirements – geometric modeling techniques: Wire frame. Rapid Tooling: Technologies and Industrial Applications. 3. 2006 45 .Digitization techniques – Model Reconstruction – Data Processing for Rapid Prototyping: CAD model preparation. Springer.Jacobs. Fused deposition Modeling. Rapid Prototyping: Theory and practice. Laser Engineered Net Shaping. UNIT V RAPID TOOLING 8 Classification: Soft tooling. Kamrani. Part orientation and support generation. materials. Frank W. Model Slicing and contour data organization. Ali K.Case studies. Rapid prototyping: Principles and applications. Bridge tooling. details of processes. 2003. Direct Metal Laser Sintering.Impact of Rapid Prototyping and Tooling on Product Development – Benefits. UNIT III POWDER BASED RAPID PROTOTYPING SYSTEMS: 10 Selective Laser Sintering. direct and indirect – Fabrication processes.Liou.Data interfacing. 2. UNIT IV REVERSE ENGINEERING AND CAD MODELING 10 Basic concept. REFERENCES: 1. 2007.K. Laminated object manufacturing. Selective Laser Melting.. World Scientific Publishers. Paul F. Three Dimensional Printing. UNIT II LIQUID BASED AND SOLID BASED RAPID PROTOTYPING SYSTEMS 10 Stereolithography Apparatus. direct and adaptive slicing. Rapid prototyping. Rapid Prototyping and Engineering applications : A tool box for prototype development.Hilton. CRC press..F. Chua C. materials. Emad Abouel Nasr. Tool path generation. Three dimensional printing: Working Principles. ED 9154 COMPOSITE MATERIALS AND MECHANICS LTPC 3 003 OBJECTIVE i) To understand the fundamentals of composite material strength and its mechanical behavior ii) Understanding the analysis of fiber reinforced Laminate design for different Combinations of plies with different orientations of the fiber. Laminate Constitutive Equations – Coupling Interactions.Maximum Stress and Strain Criteria. Typical Commercial material properties. Basic Assumptions of Laminated anisotropic plates. Cross Ply Laminates. Graphite. Lamina Constitutive Equations: Lamina Assumptions – Macroscopic Viewpoint. Ceramic and Aramid fibers. Von-Misses Yield criterion for Isotropic Materials. Applications. Orthotropic Stiffness matrix (Qij). Manufacturing: Bag Moulding – Compression Moulding – Pultrusion – Filament Winding – Other Manufacturing Processes. 18 . Static Bending Buckling Analysis. UNIT II FLAT PLATE LAMINATE CONSTITUTIVE RELATIONS 10 Definition of stress and Moment Resultants. Angle Ply Laminates. Implementation of Classical Laminate Theory (CLT) to study and analysis for residual stresses in an isotropic layered structure such as electronic chips. LAMINA CONSTITUTIVE RELATIONS 12 iii) iv) UNIT I Definition –Need – General Characteristics. Symmetric Laminates. Tsai-Hill’s Failure Criterion for Composites. Free Vibrations – Natural Frequencies 10 Analysis. Ceramic and Metal Matrices – Characteristics of fibers and matrices. UNIT III LAMINA STRENGTH ANALYSIS 5 Introduction . Energy Formulations. Strain Displacement relations. Reduction to Homogeneous Orthotropic Lamina – Isotropic limit case. Transformed Stiffness. Rule of Mixtures. Generalized Hooke’s Law. Thermo-mechanical behavior and study of residual stresses in Laminates during processing. Quasi-Isotropic Laminates. Matrices – Polymer. Fibers – Glass. Generalized Hill’s Criterion for Anisotropic materials. Evaluation of Lamina Properties from Laminate Tests. Balanced Laminates. Prediction of laminate Failure UNIT IV ANALYSIS OF LAMINATED FLAT PLATES Equilibrium Equations of Motion. Laminate Structural Moduli. Carbon. Tensor Polynomial (Tsai-Wu) Failure criterion. Determination of Lamina stresses within Laminates. Generally Orthotropic Lamina –Transformation Matrix. C. M. “Engineering Mechanics of Composite Materials”. Oxford University Press-2006. Maneel Dekker Inc. “Composite Materials Technology: Processes and Properties”. John Wiley and Sons. S.. P. Techomic Publishing Co. 1984. Thermally Quasi-Isotropic Laminates Total TEXT BOOK: 1.D.K. 6. Off-axis.T. Hansen Publisher. McGraw-Hill. and Newman. Fiber –”Reinforced Composites: Materials..E laminates. Orthotropic Lamina . 3. Manufacturing and Design”. Mallick. and Broutman L... J. Hyderabad. Agarwal. 1994.F. “Primer on Composite Materials. 2. “Stress Analysis of Fiber – Reinforced Composite Materials”... B. McGraw-Hill. Mallick. 1990. 1993. 4. 5.W. Second Edition . “Mechanics of Composite Materials and Structures”.J.. University Press (India) Pvt. New York. 1990. 1998 REFERENCES: 1.. Gibson. Munish. (edition).Modification of Laminate Constitutive Equations. “Analysis and Performance of Fiber Composites”. 2004 (Reprinted 2008) 45 19 . Issac M. Hyer. Ltd. First Indian Edition .K. Halpin..CRC press in progress.UNIT V EFFECT OF THERMAL PROPERTIES 8 Modification of Hooke’s Law due to thermal properties . Principles of Composite Material Mechanics. Daniel and Ori Ishai.2007 2. Madhujit Mukhopadhyay.Zero C. R. P. Symmetric Balanced Laminates .special Laminate Configurations – Unidirectional. Analysis”.
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