{'fraction_non_alphanumeric': 0.011864406779661017, 'fraction_numerical': 0.0, 'mean_word_length': 5.092783505154639, '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}}
A projection approach to optimization of the spatial motions for an elastic beam

Spatial motions of an elongated elastic body of cuboid shape (beam) are studied. The optimal control problem is to transfer the beam by moving its boundary cross section from the initial state to terminal one in a fixed time interval with minimization of a quadratic cost function. Based on the integral statement for the constitutive relations of linear elasticity, the generalized formulation of an initial-boundary value problem are given and a numerical approach to the optimization problem is developed.