Shanghai Institute of Applied Mathematics and Mechanics;
Shanghai University;
Shanghai 200072;
China;
Shanghai Key Laboratory of Mechanics in Energy Engineering;
Shanghai University;
Shanghai 200072;
China;
Department of Mechanics;
Shanghai University;
Shanghai 200444;
China;
axially; moving; beam; natural; frequency; Timoshenko; beam; model; dynamic; stiffness; matrix; generalized; boundary; condition;