Аналитические решения для теории балки Тимошенко
Насколько увлекательными могут быть прикладная механика и сопромат, я в полной мере осознал, когда прочел книги Гордона "Конструкции. Почему не ломаются вещи" и "Почему мы не проваливаемся сквозь пол" (как жаль, что я в свое время не приобрел их в бумаге, в свое оправдание могу только сказать, что денег и места на полках всегда не хватало). Это настоящие шедевры, так увлекательно написать о сопромате может только гений. Кстати, не так давно выяснилось, что столь же высоко эти книги ценит некто Илон Маск:))
А сегодня в арХиве появилось вот такое:
Analytical solutions for the Timoshenko beam theory with Free-Free boundary conditions: https://arxiv.org/abs/2104.14128
Rafael A. Méndez-Sánchez, Antonio A. Fernández-Marín
Timoshenko's theory for bending vibrations of a beam has been extensively studied since its development nearly one hundred years ago. Unfortunately there are not many analytical results. The results above the critical frequency inclusive haeve been tested only recently. Here an analytical expression for the solutions of the Timoshenko equation for free-free boundary conditions, below the critical frequency, is obtained. The analytical results are compared with recent experimental results reported of aluminum and brass beams The agreement is excellent, with an error of less than 3%, for the aluminum beam and of 5.5% for the brass beam. Some exact results are also given for frequencies above the critical frequency.
Comments: 14 pages, 4 figures
А сегодня в арХиве появилось вот такое:
Analytical solutions for the Timoshenko beam theory with Free-Free boundary conditions: https://arxiv.org/abs/2104.14128
Rafael A. Méndez-Sánchez, Antonio A. Fernández-Marín
Timoshenko's theory for bending vibrations of a beam has been extensively studied since its development nearly one hundred years ago. Unfortunately there are not many analytical results. The results above the critical frequency inclusive haeve been tested only recently. Here an analytical expression for the solutions of the Timoshenko equation for free-free boundary conditions, below the critical frequency, is obtained. The analytical results are compared with recent experimental results reported of aluminum and brass beams The agreement is excellent, with an error of less than 3%, for the aluminum beam and of 5.5% for the brass beam. Some exact results are also given for frequencies above the critical frequency.
Comments: 14 pages, 4 figures