This paper presents a new C₁-type beam spectral element method, which aims to ensure the continuity of the deflection and its first derivative at the junction of the adjacent spectral elements. The proposed method is based on the Euler-Bernoulli beam theory. The main novelty of the method is that two different sets of interpolation functions are adopted for the axial displacement and deflection in order to meet the C₁ continuous requirement. By removing the rotational degrees of freedom of the internal nodes, a lumped mass matrix can be formed in this spectral element method. Static and dynamic analysis of various beams and frame structures are performed to examine the validity of the proposed spectral beam element model. The numerical results show that the proposed method is accurate and effective. A single element for each component of the structure is able to provide good results.

本文提出了一种新的C ₁型束谱元素方法，其目的是确保在相邻谱元素的交界处偏转及其一阶导数的连续性。所提出的方法基于欧拉-伯努利光束理论。该方法的主要新颖之处在于，采用两组不同的插值函数进行轴向位移和挠度以满足C ₁持续的要求。通过消除内部节点的旋转自由度，可以在这种光谱元素方法中形成集总质量矩阵。进行了各种梁和框架结构的静态和动态分析，以检验所提出的光谱梁单元模型的有效性。数值结果表明，该方法准确有效。结构中每个组件的单个元素都可以提供良好的效果。