体外预应力梁横向振动的微分求积分析  

Differential quadrature method for vibration analysis of externally prestressed beams

作　　者：彭丽[1] 王英[1] PENG Li;WANG Ying(School of Civil Engineering,Shanghai Normal University,Shanghai 201418,China)

机构地区：[1]上海师范大学建筑工程学院,上海201418

出　　处：《上海师范大学学报（自然科学版中英文）》2024年第4期538-542,共5页Journal of Shanghai Normal University(Natural Sciences)

摘　　要：分析了预应力梁的横向自由振动固有频率,对已有文献给出的体外预应力横向振动方程进行探讨,将微分求积方(DQ)法直接应用于修正后的振动控制方程中.在简支边界条件下,得到固有频率的数值解,并分析了预应力混凝土梁的不同物理参数对频率的影响.数值结果表明,随着混凝土等级和预应力筋偏心距的提高,预应力梁的同阶自振频率值增大;而随着梁长和初始预应力值的增加,固有频率值略微降低.Natural frequencies of free transverse vibrations of externally prestressed beams were investigated and the governing equations of the free vibration in related literature were discussed in this paper.The differential quadrature(DQ)method was applied directly to the corrected governing equation.Under the simple supported boundary condition,the natural frequencies were numerically studied,and the physical parameters of the beam were analyzed.The numerical results showed that the natural frequency values increased with the strength grade of concrete and eccentric of prestressed steel.However,with the growth of the length and value of original prestressed force,the natural frequency values decreased.

关 键 词：预应力混凝土梁 固有频率 物理参数 微分求积(DQ)法 

分 类 号：O32[理学—一般力学与力学基础]