Keyphrases
Analytical Calculation
25%
Approximate Frequency
37%
Artificial Neural Network
37%
Artificial Neural Network Method
37%
Axially Functionally Graded
37%
Axially Functionally Graded Beam
12%
Between-person
12%
Buckling Analysis
37%
Deformation Theory
9%
Displacement Time
12%
Distribution Function
18%
Double Integral
25%
Five-frequency
18%
Fixed-end Moments
25%
Free Vibration Analysis
37%
Frequency Analysis
37%
Functionally Graded Beam
37%
Governing Differential Equation
18%
Higher-order Shear Deformation Theory
37%
Increasing Load
25%
Initial Value Method
87%
Integration Formulas
12%
Load Increase
12%
Nanobeam
37%
Network Validation
37%
Nonlocal Effect
12%
Nonlocal Elasticity
21%
Nonlocal Elasticity Theory
12%
Nonlocal Timoshenko Beam
37%
Numerical Calculation
37%
Plastic Hinge
25%
Principle of Virtual Work
18%
Repeated Integration
12%
Shear Beam
37%
Shear Deformation Theory
18%
Shear Stress Distribution
37%
Slope Deflection Method
37%
Small Scale Effect
21%
Stiffness
12%
Stiffness Coefficient
12%
Stiffness Matrix
37%
Structure Vibration
37%
System of Differential Equations
12%
System of Linear Equations
12%
Tapered Beam
37%
Timoshenko Beam Model
37%
Transfer Matrix
56%
Validation Studies
37%
Variable Cross-section
12%
Variable Stiffness
37%
Engineering
Artificial Neural Network
37%
Beam Model
37%
Beam Shear
37%
Bernoulli Beam
9%
Boundary Condition
25%
Buckling Analysis
37%
Critical Load
9%
Cross Section
18%
Damping Coefficient
6%
Deformation Theory
25%
Degree of Freedom
6%
Dimensionless
6%
Displacement Time
12%
Elasticity Theory
18%
End Condition
37%
Equation System
18%
External Load
6%
Fixed End Moment
37%
Forced Vibration
6%
Free Vibration Analysis
37%
Frequency Analysis
37%
Governing Differential Equation
18%
Hamilton's Principle
6%
Harmonics
6%
Horizontal Force
6%
Increasing Load
25%
Initial Value
100%
Linear Equation System
18%
Mass-Spring System
6%
Numerical Calculation
37%
Order Shear Deformation Theory
37%
Plastic Analysis
6%
Plastic Hinge
25%
Sample Structure
6%
Scale Effect
28%
Shear Deformation
18%
Shear Strain
6%
Shear Stress Distribution
37%
Slope-Deflection Method
37%
Static Loading
6%
Stiffness Matrix
37%
Thickness Direction
6%
