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