CIE 633 FINITE ELEMENT ANALYSIS
KALPESH P PARIKH
OVERVIEW
• Introduction• Buckling Analysis - Eigenvalue Buckling Analysis - Non Linear Analysis• Modal Analysis• Transient Dynamic Analysis
Introduction
• Beam with Cross Section I shape• Geometry Information
Introduction
Material Properties• ASTM Designation: A992 Steel Section• Modulus of Elasticity: E =30000 Ksi• Poisson ratio =0.3• Density of Steel= 490 lb/ft3• Yield Strength Fy = 50 ksi• Tensile Strength Fu = 65 ksi
Buckling Analysis• Analysis- Eigenvalue and Non Linear Analysis
• Element used Beam 4, Beam 188, Beam 189,Shell 63 and Shell 93.
• Boundary Condition Cantilever , Simply Supported, Fixed and pinned.
• Loading Condition - Axial Loading - Lateral Loading
Buckling – Eigenvalue Analysis
• Euler’s Buckling Load Formula was used for different Boundary condition and Loading Condition
• Result’s as Tabulated Below
Buckling – Eigenvalue Analysis
Buckling – Eigenvalue Analysis
Buckling – Eigenvalue Analysis
Buckling – Eigenvalue Analysis
Observation• Model Imperfection in shell 63 and shell 93.• Effect of number of modes does not change
the result.• Behavior of the I section Changes like Web
Crippling and Flange Yeilding are noticed.• Buckling is about weak axis.
Buckling – Non Linear Analysis
Buckling – Non Linear Analysis
• Buckling Loads are approximate ones.• We calculate Euler’s Buckling Load
(Theoretically) and Put in the Command fmax and then we simulate.
• Model Becomes Unstable shows Non Linear Behavior.
Modal Analysis
• What is modal analysis?• A technique used to determine a structure’s
vibration characteristics:– Natural frequencies– Mode shapes– Mode participation factors (how much a given
mode participates in a given direction)• Most fundamental of all the dynamic analysis
types.
Modal Analysis
• Gives an idea of how the design will respond to different types of dynamic loads.
• I tried a case of Cantilever Beam with two masses and noticed the response based on that.
• Geometry remains same W 10 x 26.• Element used Beam 4 and Mass 21• Method used Subspace Method.
Transient Dynamic Analysis
• Here Study was done for the Same Problem for the Modal analysis but now the at each Time the displacement is noted at the tip and Middle.
• Method used is Superposition Method.• Review of Result• Displacement at Tip and mid is plotted against
time
Transient Dynamic Analysis
• Two Concentrated masses are affixed to a cantilever Beam a third mass is resting on the beam . A Hammer strike is applied at free end a Study of Hop of the third mass.
• Element used-contact 12, Spring element, combin14, Mass 21 and Beam4.
• Hammer Load is applied at t=0.01 and removed at t= 0.02.
Transient Dynamic Analysis
Transient Dynamic Analysis
• When Block Falls and strike a beam.• Element used Beam 4, Plane 42, Contact 171,
Target 169• To see the Dynamic Response of the Beam
when Block Falls on the Beam Displacement is noted .
• Below Graph shows a Clear Picture.
Rene Magritte, Clairvoyance, 1936
Vision of the FutureThank You!
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