基于摄动法的体外预应力梁基频分析  

Study on the basic frequency analysis of external prestressed concrete beams based on perturbation

作　　者：张耀庭[1] 蔡利建[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2006年第6期118-121,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：武汉市建委重点科研资助项目;华中科技大学博士后基金资助项目.

摘　　要：进行了5根体外预应力全预应力梁的试验,探讨了利用摄动法原理进行体外预应力梁弯曲振动问题的求解.通过理论分析,建立求解体外预应力简支梁的自振频率的微分方程,以普通钢筋砼简支梁的自振频率为基准,利用摄动法原理将其转化为线性方程来求解,简化了计算过程,并将计算结果与有限元分析及试验结果进行了对比分析,结果表明:利用摄动法原理进行体外预应力全预应力梁动力性能的分析是简便可行的.Five full prestressing external prestressed beams were tested. Solution of external prestressed beam flexural vibrations was discussed by perturbation. By theoretical analysis, the differential equation was established to solve natural vibration frequency of the external prestressed beam. Taken the natural vibration frequency of a simple supported concrete beam as basis, the equation was solved by transforming into linear equation with perturbation method. The solution procedure was simplified. The perturbation results were compared with results gotten by FEA and tests. Result indicated that it was feasible and simple to analyze the dynamic performance of a full prestressing external prestressed beam by perturbation method.

关 键 词：体外预应力梁 基频 摄动 

分 类 号：TU375.1[建筑科学—结构工程]