Engineering
Cross Section
100%
Shear Deformation
70%
Initial Value
59%
Axial Extension
50%
Boundary Condition
47%
Free Vibration
40%
Governing Differential Equation
30%
Finite Element Analysis
28%
Static Analysis
26%
Loading Condition
25%
Fundamental Matrix
24%
Resonant Frequency
24%
Frame Structure
22%
Opening Angle
22%
Circular Beam
22%
Aspect Ratio
21%
Elasticity Theory
21%
Beam Element
18%
Length Scale
18%
Beam Model
16%
Structural Element
15%
Finite Element Formulation
15%
Mechanical Property
15%
Cylindrical Coordinate
15%
Static Problem
15%
Distributed Load
14%
Numerical Example
13%
Classical Beam
13%
Surface Atom
13%
Torsional Vibration
13%
Inertia Effect
12%
Rotation Angle
12%
Plane Bending
12%
Constitutive Equation
12%
Resultant Force
10%
Axial Deformation
10%
One Dimensional
10%
Cantilever Beam
10%
Mechanical Performance
10%
Parametric Study
10%
Geometric Parameter
9%
Scale Parameter
9%
Point Load
9%
Solution Procedure
9%
Mode Shape
9%
Analytical Result
9%
Size Effect
7%
Rotational
7%
Beam Axis
7%
Continuum Mechanic Theory
7%
Keyphrases
Exact Solutions
75%
Curved Beam
50%
Initial Value Method
45%
Axial Extension
44%
Shear Deformation
43%
Free Vibration
34%
Circular Arch
31%
Rotatory Inertia
30%
In-plane Vibration
26%
Natural Frequency
26%
Governing Equation
23%
Nanobeam
22%
Frame Structure
22%
Circular Beam
22%
Fundamental Matrix
22%
In-plane Statics
21%
Parabolic Arch
21%
Governing Differential Equation
21%
Static Behavior
18%
Varying Cross-section
18%
Out-of-plane Behaviour
17%
Inertia Effect
17%
Finite Element Formulation
15%
Planar Curved Beam
15%
Analytical Expression
15%
Opening Angle
14%
Stress Resultants
14%
Nonlocal Elasticity Theory
13%
Out-of-plane Statics
13%
Slenderness Ratio
12%
Numerical Examples
12%
Finite Element Analysis
12%
Exact Analytical Solution
11%
Straight Beam
11%
Analytical Results
10%
Nonlocal Elasticity
10%
Analytical Solution
10%
Timoshenko
10%
Flexural-torsional Vibration
10%
Three-dimensional (3D)
10%
Cantilever Beam
10%
Crack Location
10%
Shear Deformation Effect
10%
Variable Curvature
10%
Axial Deformation
9%
Out-of-plane Bending
9%
Geometric Parameters
9%
Cylindrical Coordinates
9%
Mechanical Behavior
9%
Beam Theory
9%