In this paper, the dynamic response of a simply supported beam subjected to a moving load is reinvestigated. Based on a new beam theory, slope inertia-based Timoshenko (SIBT), the governing equations of motion of the beam are derived. An analytical solution is presented by using a coupled Fourier and Laplace–Carson integral transformation method. The finite element solution is also developed and compared with the analytical solution. Then, a comparative study of three beam models based on the SIBT, Euler–Bernoulli and Timoshenko, subjected to a moving load, is presented. The results show that for slender beams, the dynamic responses calculated by the three theories have marginal differences. However, as the ratio of the cross-sectional size to beam length increases, the dynamic magnification factors for the mid-span displacement obtained by the SIBT and Timoshenko beams become larger than those obtained by the Euler–Bernoulli beams. Furthermore, until the ratio is greater than 1/3, the difference between the calculated results of the SIBT and Timoshenko beams becomes apparent.
Introduction College soccer is a major priority for the Chinese sports department. Among the most relevant issues is the search for solutions to prevent sports injuries among young college soccer players in the development process. Objective Investigate the causes and characteristics of sports injuries among young college soccer players, aiming to develop scientific measures for prevention and control. Methods A total of 304 young people from primary and secondary schools in one city were selected as volunteers for the research, and the causes and characteristics of sports injuries among these players were analyzed using questionnaires, interviews with experts, and statistical-mathematical analysis. Results According to the characteristics of injury factors of soccer players at different learning stages, a good job should be done on preventing sports injuries of physiological, psychological, technological, training, and other aspects, to reduce the risk of sports injuries in young soccer players. Conclusion Fully understanding sports injury risk prevention, timely summarizing the experience and learnings, and doing a good job in sports injury prevention from the aspects of physiology, psychology, technology, training, and other aspects according to the characteristics of injury factors of soccer players at different school stages are desirable practices to reduce the risk of sports injury and improve the quality of school soccer training and competition for young college soccer players. Level of evidence II; Therapeutic studies - investigation of treatment outcomes.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.