TRANSIENT RESPONSES OF TIMOSHENKO BEAMS TO A MOVING MASS
The method of reverberation-ray matrix is presented to investigate the dynamic responses of an undamped Timoshenko beam subjected to a moving mass. Two dual local coordinates are introduced. Based on the theory of elastodynamics, the general wave solutions with two sets of unknown amplitude coefficients are derived in the transformed domain by the dual integral transform. From continuity conditions of forces and displacements at each joint and the compatibility conditions with respect to the dual coordinates, the unknown amplitude coefficients can be determined exactly. The transient dynamic motions for a Timoshenko beam under a moving mass are then determined numerically by inverse integral transform in which the Neumann series expansion is employed to avoid the integral singularities. The motion of the mass can also be obtained.
reverberation-ray analysis timoshenko beam moving mass transient responses
Jiqing Jiang WeiQiu Chen
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R.China School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, P.R.China
国际会议
The Fifth International Conference on VETOMAC-V(第五届振动工程及机械技术国际会议)
武汉
英文
286-291
2009-08-27(万方平台首次上网日期,不代表论文的发表时间)