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| KunwarR | Sathyabama Institute of Science and Technology M.E. - Structural Engineering SCIA7013 Structural Optimization Syllabus Sathyabama Institute of Science and Technology M.E. - Structural Engineering SCIA7013 Structural Optimization Syllabus SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF BUILDING AND ENVIRONMENT SCIA7013 STRUCTURAL OPTIMIZATION L T P Credits Total Marks 3 0 0 3 100 UNIT 1 BASIC PRINCIPLES AND CLASSICAL OPTIMIZATION TECHNIQUES 9 Hrs. Definition - Objective Function; Constraints - Equality and inequality - Linear and non-linear, Side, Non- negativity, Behaviour and other constraints - Design space- Feasible and infeasible - Convex and Concave - Active constraint - Local and global optima. Differential calculus - Optimality criteria - Single variable optimization - Multivariable optimization with no constraints - (Lagrange Multiplier method) - with inequality constraints ( Khun - Tucker Criteria). UNIT 2 LINEAR AND NON-LINEAR PROGRAMMING 9 Hrs. LINEAR PROGRAMMING: Formulation of problems - Graphical solution - Analytical methods - Standard form Slack, surplus and artificial variables - Canonical form - Basic feasible solution - simplex method - Two phase method - Penalty method - Duality theory - Primal - Dual algorithm. NON LINEAR PROGRAMMING: One Dimensional minimization methods: Unidimensional - Unimodal function Exhaustive and unrestricted search - Dichotomous search - Fibonacci Method – Golden section method – Interpolation methods. Unconstrained optimization Techniques. UNIT 3 GEOMETRIC PROGRAMMING 9 Hrs. Posynomial - degree of difficulty - reducing G.P.P to a set of simultaneous equations - Unconstrained and constrained problems with zero difficulty – Concept of solving problems with one degree of difficulty. UNIT 4 DYNAMIC PROGRAMMING 9 Hrs. Bellman’s principle of optimality - Representation of a multistage decision problem - concept of sub- optimization problems using classical and tabular methods. UNIT 5 STRUCTURAL APPLICATIONS–GENITIC ALGORITHMS, FUZZY OPTIMIZATION TECHNIQUES 9 Hrs. Methods for optimal design of structural elements, continuous beams and single storied frames using plastic theory - Minimum weight design for truss members - Fully stressed design - Optimization principles to design of R.C.structures such as multistorey buildings, water tanks and bridges. Max. 45 Hrs. TEXT / REFERENCE BOOKS 1. Rao S.S., “Optimization theory and applications”, Wiley Eastern Pvt. Ltd., 1984. 2. Uri Krish, “Optimum Structural Design”, McGraw Hill Book Co.,1981. 3. Spunt, “Optimization in Structural Design”, Civil Engineering and Engineering Mechanics Services, Prentice Hall, New Jersey, 1971. 4. Iyengar N.G.R. and Gupta S.K., “Structural Design Optimisation”, Affiliated East West Press Ltd., New Delhi, 1997. END SEMESTER EXAMINATION QUESTION PAPER PATTERN Max. Marks: 100 Exam Duration: 3 Hrs. PART A: 5 Questions of 6 Marks each – No choice 30 Marks PART B: 2 Questions from each unit of internal choice, each carrying 14 Marks 70 Marks |
