{'fraction_non_alphanumeric': 0.0171606864274571, 'fraction_numerical': 0.0, 'mean_word_length': 6.054945054945055, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
An Efficient Optimization Algorithm to Study the Stochastic Responses of Vehicle–Bridge Coupling System

An efficient algorithm is proposed for the stochastic responses of vehicle–bridge systems. The pseudo-excitation method is combined with the self-adaptive Gauss integration to handle the stochastic responses of vehicle–bridge systems, for which the statistic characteristics are calculated. The applicability and accuracy of the proposed hybrid numerical method are demonstrated by comparing the results with those from Monte Carlo simulation. Besides, nondimensional time is introduced to evaluate the stochastic responses of vehicles.