NATURAL FREQUENCY SIMULATION OF AXIALLY MOVING TIMOSHENKO BEAMS WITH HYBRID BOUNDARY
Hu Chao-rong1; Ding Hu2; Chen Li-qun1,2
1 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China. 2 Department of Mechanics at Shanghai University, Shanghai 200444, China
Abstract：The differential quadrature method is developed to solve natural frequency of axially moving asymmetric hybrid supports Timoshenko beams, which have randomly-variable spring index at both sides. The weighting coefficient matrices to implement are modified for solving the hybrid boundary. The axially moving speed, the stiffness of the beam and the constraint stiffness are numerically investigated for the influence of the first two orders of the natural frequency, and the results are compared with the conclusion of semi-analytical and semi-numerical. The results show that the numerical results with the semi-analytical and semi-numerical results are basically consistent.
2011, Vol. 30 
