Analytical solution for Vertical Dynamic Response of Railway Simply Supported Beam Bridge under Bidirectional Moving Loads

摘要

In this thesis, the dynamic responses of simply supported beam bridge in a double-line railway under bidirectional moving loads are mainly studied. To study the characteristics of Euler-Bernoulli beam, a train is simplified as a series of concentrated forces with fixed wheelbase. Structural dynamics is used to deduce the analytical expressions of vertical vibration of simply supported beam under bidirectional moving loads. By simulation software MATLAB, the numerical result of the dynamic responses of simply supported beam bridge could be obtained. Then the 48 meters simply supported beam bridge in a high-speed railway is analyzed, the dynamic responses of simply supported beam of bidirectional moving loads with different interarrival times are discussed. Finally, some general laws for the design of double-line railway bridge are gained.