Aero 306

Potential Changes

• Optimal design of an SMA activated mechanism
• Introduction to FEMAP
• Design project in 306
• Expedite transition to ambitious design analysis in 405
• Introduction to vibration of beams
• Introduction to FEA analysis of non-structural problems

Approximate Time Allocation for 306

Units = 50min class

1 Course introduction and Work

3 VW for rigid body mechanisms and springs (spring replaced w/ force)

4 VW for deformable bodies ( Spring, Bar Truss Beam )

5 Approximate Analysis Using Virtual Work (Discrete Form )

• rod, beam
• rules, organization, convergence....

Test 1

9 Finite Elements (rod, beam, truss, frame)

2 Minimum Total Potential and Complementary Energy Principles

spring, rod, beam

Test 2

3 Stability (Buckling)

1 Complementary Virtual Work introduction

1 Castigliano’s Theorems: derivation & simple examples

1 Castigliano’s 2^nd theorem: statically determinate structures

4 Castigliano’s 2^nd theorem: statically indeterminate structures

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2 Tests

Design project

describe project and use of software

1 design strategies .... simple example

1 discussion of reports

1 Course evaluation, review

2 Postmortems on tests and miscellaneous

Primary Concepts in Current 306

· Virtual work = 0 as a powerful alternative to SF = 0, SM = 0 or the differential equation of equilibrium.

· Approximate solutions

· An approximate solution is not one in which one made only a few mistakes.

· Systematic techniques for obtaining approximate solutions. (classical)

· Convergence behavior

· Finite element strategy - divide and conquer

· Introduction to FEA software (Maple, "FEMAP", or my codes)

· Minimum total potential energy/minimum total complementary energy

· Buckling

· Complementary Virtual Work (Castigliano's 2^nd theorem)

· Method of choice in years past

· Leverages what you know about statics

· Superposition/equivalent system

Configurations

· Rigid body mechanisms with springs

· Uniaxial rods, trusses

· Beams (flexure)

· Frames (beam + rod)