文档介绍：
GDQR 求解非均质变截面圆拱的振动特性#
王清波1,王忠民2**
(1. 西安理工大学土木建筑工程学院,西安 710048: 东方电机有限公司产品开发二部,德
5
10
15
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25
阳 618000;
2. 西安理工大学土木建筑工程学院,西安 710048)
摘要:对非均质变截面圆拱,基于微段分离体的动力学方程,导出了以径向位移分量表示的
运动微分方程。应用广义微分求积法(GDQR),计算了不同边界条件下非均质变截面圆拱
的无量纲固有频率,分析了截面变化系数和弹性模量变化系数对圆拱无量纲固有频率的影
响。结果表明,广义微分求积法是一种有效和简捷的数值方法。
关键词:圆拱振动;非均质;变截面;广义微分求积法
中图分类号:O32
Vibration characteristics of a circular arch with
inhomogeneous and varying cross-section basen on GDQR
Wang Qingbo1,2, Wang Zhongmin1
(1. School of Civil Engineering and Architecture, Xi'an University of Technology,Xi'an 710048;
2. Product Design Department ,Dongfang Electric Machinery Co.,LTD,Deyang 618000)
Abstract: Based on the dynamic equations of infinitesimal free body, a differential equation of
motion for the circular arch with inhomogeneous and varying cross-section in terms of radial
displacements is derived. By adopting generalized differential quadrature role (GDQR), the
dimensionless natural frequencies of the circular arch with inhomogeneous and varying
cross-section under specific boundary conditions was calculated, and the effect of variable
coefficient of elastic modulus and variable coefficient of cross-section on dimensionless natural
frequencies of the circular arch is analyzed. The numeral results show that the generalized
differential quadrature rule is an effective and simple numerical method.
Key words