Stability of coupled rigid body and geometrically exact rods: Block diagonalization and the energy-momentum method

Keyphrases

• Rigid Body 100%
• Energy-momentum Method 100%
• Block Diagonalization 100%
• Geometrically Exact Rods 100%
• Nonlinear Stability 66%
• Flexible Appendage 66%
• Inertia 33%
• Square Root 33%
• Flexure 33%
• Rigid Body Motion 33%
• Stationary Motion 33%
• Angular Velocity 33%
• Angular Momentum 33%
• Minimum Eigenvalue 33%
• Short Axis 33%
• Vibration Mode 33%
• Large Deformation 33%
• Linear Momentum 33%
• Linear Operator 33%
• Rod Model 33%
• Uniform Rotation 33%
• Invariance Property 33%
• Relative Equilibria 33%
• Second Variation 33%
• Stationary Rotation 33%
• Allowable Deformation 33%
• Geometrically Exact 33%
• Extension-twist 33%
• Internal Vibration 33%

Engineering

• Rigid Structure 100%
• Rod 100%
• Rotational 25%
• Flexure 25%
• Angular Velocity ω 25%
• Square Root 25%
• Rigid Body Motion 25%
• Large Deformation 25%
• Linear Momentum 25%
• Sufficient Condition 25%
• Linear Operator 25%
• Angular Momentum 25%
• Vibration Mode 25%

Mathematics

• Rigid Body 100%
• Sufficient Condition 25%
• Linear Operator 25%
• Necessary Condition 25%
• Invariance Property 25%
• Three-Dimension 25%
• Eigenvalue 25%
• Square Root 25%
• Linear Momentum 25%
• Angular Momentum 25%
• Angular Velocity 25%