STABILITY AND ACCURACY OF THE HYBRID METHOD FOR DYNAMIC HALF- SPACE MODELS UNDER SINUSOIDAL IMPULSIVE SURFACE LOADS
Keywords:
Hybrid method, dynamic modeling, half-space, sinusoidal impulsive loads, time step stability, vertical discretization, Nyquist frequency, accuracy, modal superposition, Rayleigh waves.Abstract
This study examines the hybrid method for solving dynamic problems in elastic half-
spaces under sinusoidal impulsive vertical surface loads. The method, which combines spatial
discretization and modal superposition, is evaluated for stability and accuracy under varying time
steps and discretizations. The relationship between stability and time step selection is analyzed,
highlighting the importance of meeting Nyquist frequency conditions. Similarly, the accuracy of
computed modes and natural frequencies is investigated, emphasizing the significance of fine
vertical discretization. Numerical examples reveal critical stability thresholds and optimal
discretization parameters for minimizing errors in surface displacement predictions.
Recommendations for improving the method’s stability and accuracy are provided, offering
insights into its practical application in dynamic modeling.
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