Affiliations: [a] State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing, Jiangsu, China | [b] Jinling Institute of Technology, Mechatronic Engineering College, Nanjing, Jiangsu, China | [c] Beijing Institute of Structure and Environment Engineering, Beijing, China
Correspondence:
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Corresponding author: Jinhui Jiang, State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing, Jiangsu, China. E-mail:Jiangjinhui@Nuaa.edu.cn
Abstract: The identification (or reconstruction) of dynamic load is
the second kind of the inverse problem in structural dynamic analysis, which
is a process of reconstructing load applied to structure in case of
structural dynamic model and information of structural response. When it is
difficult to measure the load applied to the structure with acquisition
equipment, the identification technology of dynamic load makes it possible
for obtaining external load, so its researches have an important theoretical
value and practical prospects. The elastic thin plate is the common
load-carrying structures in engineering, and the identification of dynamic
load on the plate is very meaningful. The paper presents a new method called
method of moment for identification of distributed dynamic load on the plate
structure. At first, the two-dimension orthogonal polynomial is constructed,
which is employed as base functions for Generalization Fourier Expansion,
and then the infinite dimensions function is transformed into finite
dimension parameters. Secondly, the relationships are built between the
finite dimension parameters and the structural response. Thirdly, the
parameters can be obtained by the inverse algorithm or optimization
algorithm. At last, the distributed dynamic load can be reconstructed by the
finite dimension parameters. The results of computation simulations and
experiment show the method is correct theoretically, effective and feasible
in engineering practice.
Keywords: Dynamic distributed load, identification, method of moment
