Dynamic Response and Wave Propagation in Plane Trusses and Frames
Dynamic Response and Wave Propagation in Plane Trusses and Frames
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DOI：
10.2514/2.778
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发表时间：
1999
期刊：
影响因子：
2.5
通讯作者：
Y. Pao;Der-Ching Keh;S. Howard
中科院分区：
文献类型：
--
作者：
Y. Pao;Der-Ching Keh;S. Howard
从轴向（纵向）和弯向（横向）应力波作为结构构件的传播角度分析了平面框架和桁架的动力学。波在节理处是多散射的，代表两种波在每个节理处的反射和透射的散射系数是由节理的动力学和相容性条件导出的。利用新建立的由散射系数和传播相位因子组成的混响矩阵，在频域上对结构内的复杂多反射波进行了评价。然后用傅立叶合成法对瞬态波进行分析，并用快速傅立叶变换算法对其进行评价。计算了具有刚性节点的模型桁架在长时间内所有构件的轴向和弯曲应变的瞬态响应。模型桁架在阶跃荷载作用下的早期和较长时间响应与试验数据比较，结果吻合较好。
The dynamics of planar frames and trusses is analyzed in terms of the propagation of axial (longitudinal) and flexural (transverse) stress waves being structural members. The waves are multiscattered at the joints, and scattering coefficients representing the reflection and transmission of both types of waves at each joint are derived from the dynamics and compatibility conditions of the joint. The complex multireflected waves within the structure are evaluated in the frequency domain by a newly developed reverberation matrix, which is formulated from scattering coefficients and propagating phase factors. Transient waves are then analyzed by Fourier synthesis and evaluated by a fast Fourier transform algorithm. Transient responses for the axial and bending strains in all structural members are calculated over a long duration for a model truss with rigid joints. Comparison to experimental data of the model truss under a step loading shows good agreement for the early as well as considerably long time responses.