An inverse dynamical problem for connected beams

An inverse dynamical problem for connected beams
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DOI:
10.1017/s0956792505005826
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发表时间:
2004-05
影响因子:
1.9
通讯作者:
A. Morassi;G. Nakamura;M. Sini
A. Morassi;G. Nakamura;M. Sini
中科院分区:
数学4区
文献类型:
--
作者:
A. Morassi;G. Nakamura;M. Sini

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本文研究了由两梁连接而成的组合梁的动力反问题。复合梁的振动由微分系统控制,其中纵向运动和弯曲运动之间发生耦合。在本文中,我们忽略了弯曲运动,我们只处理纵向运动。这些运动是由一个二乘二的二阶系统耦合在低阶项的剪切刚度系数,它模拟了两个梁之间的连接,并包含直接的信息系统的完整性。我们证明了剪切刚度系数可以重建的频率响应函数的系统评估在一端的梁。
This paper deals with a dynamical inverse problem for a composite beam formed by two connected beams. The vibrations of the composite beam are governed by a differential system where a coupling takes place between longitudinal and bending motions. In this paper, we neglect bending motions and we only deal with the longitudinal motions. These motions are governed by a two-by-two second order system coupled in the lower order terms by the shearing stiffness coefficient, which models the connection between the two beams and which contains direct information on the integrity of the system. We prove that the shearing stiffness coefficient can be reconstructed from the frequency response function of the system evaluated at one end of the beam.