Dynamics of a prestressed Timoshenko beam subject to arbitrary external load  

作　　者：Ji-qing JIANG Gui-ru YE 

机构地区：[1]Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2010年第11期898-907,共10页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project supported by the National Basic Research Program of China (No. 2009CB623204);the National Natural Science Foundation of China (Nos. 10725210 and 10972196)

摘　　要：The free vibration and transient wave in a prestressed Rayleigh-Timoshenko beam subject to arbitrary transverse forces are analyzed by the newly developed method of reverberation-ray matrix (MRRM). The effects of shear deformation and rotational inertia are taken into consideration. With a Fourier transform technique, the general wave solutions with two sets of unknown amplitude coefficients are obtained in the transformed domain for an unbonded prestressed beam under the action of arbitrary external excitations. From the coupling at joints and the compatibility of displacements in each member, the free and forced vibration responses of a beam with various boundary conditions are finally evaluated through certain numerical algorithms. Results are presented for a simply-supported beam subject to either a point fixed load or moving load. Good agreement with the finite element method (FEM) is obtained. The present work is instructive for high-speed railway bridge design and structural health monitoring.The free vibration and transient wave in a prestressed Rayleigh-Timoshenko beam subject to arbitrary transverse forces are analyzed by the newly developed method of reverberation-ray matrix （MRRM）. The effects of shear deformation and rotational inertia are taken into consideration. With a Fourier transform technique, the general wave solutions with two sets of unknown amplitude coefficients are obtained in the transformed domain for an unbonded prestressed beam under the action of arbitrary external excitations. From the coupling at joints and the compatibility of displacements in each member, the free and forced vibration responses of a beam with various boundary conditions are finally evaluated through certain numerical algorithms, Results are presented for a simply-supported beam subject to either a point fixed load or moving load. Good agreement with the finite element method （FEM） is obtained. The present work is instructive for high-speed railway bridge design and structural health monitoring.

关 键 词：Reverberation-ray analysis Prestressed Timoshenko beam Free vibration Dynamic responses 

分 类 号：TU311.3[建筑科学—结构工程]