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中文摘要：
根据Kirchhoff薄梁假定,弧形拱的中性轴向非拉伸,采用一般化微分求积法（GDQR）,分析了平面内弧形拱的自振特性.考虑弧形拱横截面高度沿环向线性及阶跃非线性变化,将计算域划分为不同子域分别采用GDQR法.通过算例验证该方法的有效性与正确性,计算结果与Rayleigh-Ritz法、Galerkin法、有限元法（FEM）、细胞离散元法（CDM）进行比较,该结果总大于由CDM法计算所得的准确解下限值,而与其它方法所得的准确解上限值相同.
英文摘要：
In-plane free vibrations of circular arches are investigated by the generalized differential quadrature rule（GDQR）proposed recently.The Kirchhoff assumptions for thin beams are considered,and the neutral axis is taken as inextensible.Several examples of arches with uniform,continuously varying,and stepped cross-sections are presented to illustrate the validity and accuracy of the GDQR.The necessary domain decomposition technique is used for some cases.The obtained frequencies are compared with those calculated from a number of other approaches from the Rayleigh-Ritz and Galerkin methods to the finite element technique and the cell discretization method.The GDQR frequencies are always greater than those obtained from the cell discretization method that produces the lower bounds to the exact results,and are also in agreement with the upper bounds to the exact results.
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