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Introduction Lecture 1 ME EN 575 Andrew Ning aning@byu.edu - - PDF document
Introduction Lecture 1 ME EN 575 Andrew Ning aning@byu.edu - - PDF document
Introduction Lecture 1 ME EN 575 Andrew Ning aning@byu.edu Outline Syllabus Optimization Basics Project Examples (from past students) Syllabus Course Website: http://flow.byu.edu/me575/ Syllabus: Please Read! Make sure your email is
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Syllabus: Please Read!
- Make sure your email is current on Learning
Suite
- Prerequisites/undergraduates
- Must not refer to homeworks/exams from
prior students
- Homework
- Project
- Weekly Quizzes
- Piazza
- Ask Questions!
Optimization Basics
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What is Optimization?
Conventional
Baseline design Specifications Analyze or experiment Evaluate performance Change design Is the design good? Final design No Yes
Optimal
Baseline design Specifications Analyze Evaluate
- bjective and
constraints Change design Is the design
- ptimal?
Final design No Yes
Design Variables x (array)
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Objective Function J(x) or f(x) (scalar)
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Multidisciplinary Optimization
Aerodynamic Optimization Structural Optimization
Sequential:
Aerodynamic Analysis Structural Analysis Optimizer
Simultaneous:
Constraints c(x) ≤ 0 (array)
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Bound constraints Linear constraints Nonlinear constraints
Optimization Problem Statement
minimize J(x) with respect to x ∈ Rn subject to cj(x) ≤ 0, j = 1, 2, . . . , m
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Optimization Problem Classification
Continuity
Smooth Discontinuous
Linearity
Linear Nonlinear
Design Variables
Quantitative
Continuous Discrete
Qualitative
Constraints
Constrained Unconstrained
Convexity
Convex Non- Convex
Data
Deterministic Stochastic
Time
Static Dynamic
- Nonlinear
- Constrained
- Differentiable
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Optimization Methods
- Gradient-based
- Gradient-free
- Response surfaces
- Convex
- Integer or Mixed Integer
Project Examples (from past students)
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Cylindrical surface with tailored stiffness
Kerf L1 L2 L3
w2 w3 w4 Lt,2 Lt,3 Lt,4 w1 Lt,1 L4 L5 L1 L2 L3 L4 L5 k1 k2 k3 k4
L1 L2 L3 L4 k1 k2 k3 y1 y2 y3 θ1 θ2 θ3 F F
(b)
Todd Nelson and Jared Bruton
System evolvability of a cookstove
Jeff Allen and Kendall Thacker
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Wind farm power and acoustics
Jared Thomas and Eric Tingey
Optimized schedule simulator for students
Sam McDonald and Dallin Swiss
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Shape optimization of turbine geometry in pulsing flow conditions
Mark Fernelius
UAV Path Planning
20 40 60 80 100 20 40 60 80 100
Kyle Ingersoll, Patrick DeFranco, and Bryce Ingersoll