Abstract
In the process of model modification of large and complex structures, substructure synthesis method and modal reduction method have been widely used, but there are still some difficulties in precision control and engineering application in the process of model updating. In order to better study the dynamic response of the vibration substructure, the synthesis and correction method of the classical dynamic substructure is described in this paper, which provides a new idea for further engineering development. In the aspect of substructure synthesis method, the modal reduction of substructures, two methods of classical substructure synthesis, mechanical impedance method, singular value decomposition method, rigidity-flexibility equivalence, and transformation of degree of freedom are analyzed. The advantages and disadvantages of the above methods are discussed. In terms of substructure modification, the reference datum method, function dynamic modification method, neural network model modification, and frequency response function modification are analyzed, and the shortcomings of the dynamic substructure modification method are summarized. Finally, the development trend of dynamic substructure synthesis and modification algorithm is proposed.
Highlights
In the process of dynamic structure design and modeling analysis, the calculation of large complex structures requires a lot of computational cost and is not conducive to rapid modification and structural optimization in modern innovative design [1,2,3]. e vibration substructure synthesis method provides a solution to this kind of problem
When the error of the experimental results is large, the dynamic characteristics of the structural model obtained by the analysis will be quite different from the actual measurement results, even exceeds the design accuracy required in engineering practice. e case needs to correct the model, and the common methods of model modification include matrix modification, parametric modification, genetic algorithm (GA), simulated annealing (SA) modification, and neural network modification. e purpose of structural model modification is to minimize the error between the theory model and the actual structure
In terms of substructure synthesis, (1) Modal synthesis, condensation polymerization, and mechanical impedance admittance have some limitations in application and are not suitable for very large complex structures and structures with complex boundary conditions. e error caused by highorder mode truncation exists in mode condensation polymerization
Summary
In the process of dynamic structure design and modeling analysis, the calculation of large complex structures requires a lot of computational cost and is not conducive to rapid modification and structural optimization in modern innovative design [1,2,3]. e vibration substructure synthesis method provides a solution to this kind of problem. E vibration substructure synthesis method provides a solution to this kind of problem. Dynamic frequency-domain substructures, including frequency response function (FRF) synthesis in frequency domain, noise reduction in frequency-domain transfer function, and dynamic frequency-domain substructure synthesis considering rotational degree of freedom, have developed rapidly in solving the problem of vibration subsystem synthesis, especially in the calculation of large-scale models. Frequency-domain dynamic substructures contain the FRF matrix of substructures and the modal information needed to solve them, which can calculate the dynamic characteristics of structures more accurately without the influence of higher-order modal truncation and has a good application prospect [4, 5]. When the error of the experimental results is large, the dynamic characteristics of the structural model obtained by the analysis will be quite different from the actual measurement results, even exceeds the design accuracy required in engineering practice. The research trends of substructure synthesis and modification methods are proposed
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