On the Uniqueness of Solutions for the Identification of Linear Structural Systems

On the Uniqueness of Solutions for the Identification of Linear Structural Systems
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DOI:
10.1115/1.2062829
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发表时间:
2006
期刊:
Journal of Applied Mechanics
影响因子:
--
通讯作者:
G. Franco;R. Betti;R. Longman
G. Franco;R. Betti;R. Longman
中科院分区:
其他
文献类型:
--
作者:
G. Franco;R. Betti;R. Longman

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这项工作解决了一个无阻尼、剪切型、N自由度线性结构系统在强制激励下的全局可识别性问题,而无需事先了解其质量或刚度分布。提出了三种致动器/传感器方案,保证了质量和刚度识别问题只存在一个解,同时需要最少的仪器(只有1个致动器和1或2个传感器)。通过一个三维立体系统的反例也表明,在非唯一解中,比建议的测量量少的结果总是不变的。
This work tackles the problem of global identifiability of an undamped, shear-type, N degrees of freedom linear structural system under forced excitation without any prior knowledge of its mass or stiffness distributions. Three actuator/sensor schemes are presented, which guarantee the existence of only one solution for the mass and stiffness identification problem while requiring a minimum amount of instrumentation (only I actuator and 1 or 2 sensors). Through a counterexample for a 3DOF system it is also shown that fewer measurements than those suggested result invariably in non-unique solutions.