摘要
针对梁结构动力响应计算的精度及适用性问题,以经典Timoshenko梁理论为研究对象,采用回转射线矩阵法对单跨梁、多跨连续梁的动力响应进行计算分析。结果表明,回传射线矩阵法作为一种全新的数学方法,创新性的引入了双坐标系统,从而使得散射矩阵为常数矩阵,避免了数值不稳定问题和超越函数的问题。通过与传递矩阵法计算结果对比,得出的结论是:回传射线矩阵法不仅可以计算梁的自振频率、稳态响应及瞬态响应,还可以计算梁结构在受突加荷载初期的波动响应,可以明确地看到波的传播和反射等现象。这是波动和振动理论上一个突破性的进展。
According to the precision and suitability problem in dynamic response calculation of beam structure, taking the classical Timoshenko beam as the investigative object, calculation analysis based on method of reverber- ation-ray matrix is performed for the dynamic response of single-span beam and multi-span continuous beam. The results showed that one new method of reverberation-ray matrix innovative introduced double coordinates system, so it turned the scatter matrix into constant matrix, which avoiding the problem of numerical instability and the problem of transcendental function. Trough comparing with the calculation results based on method of transfer ma- trix, The results showed method of reverberation-ray matrix not only might calculate beam＇ s natural frequency, steady-state response and Transient Response, but also might calculate wave response of beam structure in the ear- ly stage of abruptly loading, and definitely saw the phenomenon that propagating and reflecting of waves. It was a breakthrough progress in the wave theory and the vibration theory.
出处
《东华理工大学学报（自然科学版）》
CAS
2012年第4期438-442,共5页
Journal of East China University of Technology(Natural Science)
基金
江西省自然科学基金项目(20122BAB212010
20114BAB212006)
江西省教育厅科技项目(GJJ12395)
东华理工大学硕博启动基金(DHBK1017
DHXK1128)
东华理工大学实验技术开发项目
作者简介
李凤臣（1980-），男，博士，讲师，主要从事大型土木工程结构动力检测与损伤诊断技术研究。E-mail：fcli-1980@163．com
通讯作者：张丽娜（1981-），女，讲师，主要从事结构损伤诊断及FRP加固技术研究。E-mail：lnzhang@ecit．cn
