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Keyphrases
Natural Frequency
100%
Free Vibration Analysis
100%
Axially Functionally Graded Material
100%
Functionally Graded Material Beam
100%
Material Properties
50%
Beam Shaping
50%
Equations of Motion
50%
Material Law
50%
ABAQUS
50%
User Material Subroutine
50%
Solution Technique
50%
3D Finite Element Analysis
50%
Material Gradient
50%
Hamilton's Principle
50%
Differential Transform Method
50%
Functionally Graded Beam
50%
Variable Cross-section
50%
Variable Cross-section Beam
50%
Timoshenko Beam Theory
50%
Conic Sections
50%
Polynomial Law
50%
Slenderness Ratio
50%
Modal Dynamics
50%
Exponential Law
50%
Variable Type
50%
Governing Equations
50%
Beam Finite Element Model
50%
Various Boundary Conditions
50%
Engineering
Free Vibration Analysis
100%
Functionally Graded Material
100%
Resonant Frequency
66%
Boundary Condition
66%
Cross Section
33%
Finite Element Modeling
33%
Solution Method
33%
Material Law
33%
Dimensional Finite Element Analysis
33%
Hamilton's Principle
33%
Aspect Ratio
33%
Material Science
Vibration Analysis
100%
Functionally Graded Material
100%
Finite Element Modeling
33%
Materials Property
33%
Beam Theory
33%
Three-Dimensional Finite Element Analysis
33%