An alternative formulation for modeling self-excited vibrations of drillstring with PDC bits

Mathematics

• State-dependent Delay 100%
• Strombus or kite or diamond 85%
• Vibration 72%
• Ordinary differential equation 59%
• Delay Differential Equations 50%
• Modeling 49%
• Formulation 48%
• Alternatives 47%
• Torsional Vibration 38%
• Drilling 37%
• Partial differential equation 37%
• Regeneration 33%
• Linear Stability Analysis 32%
• Layout 29%
• Computational Efficiency 27%
• Systems of Partial Differential Equations 26%
• Time Domain 26%
• Galerkin Method 24%
• Coupled System 24%
• History 22%
• Nonlinear Systems 20%
• Trajectory 20%
• Strategy 17%
• Model 16%
• Simulation 16%
• Design 15%

Engineering & Materials Science

• Diamonds 76%
• Ordinary differential equations 49%
• Partial differential equations 45%
• Differential equations 27%
• Linear stability analysis 22%
• Galerkin methods 17%
• Drilling 13%
• Rocks 12%
• Trajectories 10%