The Concept of Structural Stability, Stability of Structures With A Finite Number of Degrees of Freedom, Stability of Elastic Structures ("infinite" Degrees of Freedom), Buckling of Columns and Frames, Effect of Geometric Imperfections, The Elastica Model And Post-buckling of Beams and Frames, Curved Beams and Bistable Elements (design and Applications), Bistable Arrays, Harnessing Structural Instabilities By Nature (muscles, Structural Proteins) and In Engineering (energy Absorption, Meta-materials), Stability of Active Structures That Combine Mechanics and Another Field (electric/magnetic), Buckling of Plates and Shells. Basic Tools From Calculus of Variations Will Be Learned and Used Throughout The Course._ Learning Outcomes# After The Course Each Student Will Be Able To# 1. Understand The Criteria For Stability of a Structure. 2. Perform a Quantitative Analysis to Examine Whether a Structure With One Degree of Freedom Or Several Degrees of Freedom Is Stable Or Not. 3. Formulate Stability Consideration For Elastic Structures Described By Continuum Theories, Such As Straight Beams, Curved Beams, Plates, And Frames. 4. Know and Understand Applications That Make Use of Mechanical Instabilities, Such As Metamaterials, Energy Absorption, and The Function of Structural Proteins Such As Titin. 5. Apply Basic Tools in Variational Calculus For The Purpose Of Investigating The Stability of Structures._ 6. Apply The Theory Learned in The Course to Design and Manufacture A Bi-stable Structure.

Faculty: Mechanical Engineering
|Undergraduate Studies |Graduate Studies
Pre-required courses

(34010 - Dynamics and 34032 - Linear Systems M and 34033 - Numerical Analysis M and 34053 - Solid Mechanics 2m and 104022 - Differential and Integral Calculus 2m)

Course with no extra credit (contained)

18121 - Principles of Structural Stability 87532 - Theory of Structures Stability