Abstract
Adding virtual masses to a structure is an efficient way to generate a large number of natural frequencies for damage identification. The influence of a virtual mass can be expressed by Virtual Distortion Method (VDM) using the response measured by a sensor at the involved point. The proper placement of the virtual masses can improve the accuracy of damage identification, therefore the problem of their optimal placement is studied in this paper. Firstly, the damage sensitivity matrix of the structure with added virtual masses is built. The Volumetric Maximum Criterion of the sensitivity matrix is established to ensure the mutual independence of measurement points for the optimization of mass placement. Secondly, a method of sensitivity analysis and error analysis is proposed to determine the values of the virtual masses, and then an improved version of the Particle Swarm Optimization (PSO) algorithm is proposed for placement optimization of the virtual masses. Finally, the optimized placement is used to identify the damage of structures. The effectiveness of the proposed method is verified by a numerical simulation of a simply supported beam structure and a truss structure.
Highlights
IntroductionStructural damage identification becomes a significant field in Structural Health
Nowadays, structural damage identification becomes a significant field in Structural HealthMonitoring (SHM), and many new ideas are proposed in a growing number of studies.Spencer Jr. et al [1] reviewed recent advances in wireless smart sensors for multi-scale monitoring and control of civil infrastructure
Zhang [33] proposed an approach for optimal sensor placement based on the Particle Swarm Optimization (PSO) algorithm for the structural health monitoring of long-span cable-stayed bridges, and established the fitness function to solve the optimal problem by using the root mean square (RMS) value of the non-diagonal elements in the modal assurance criterion matrix
Summary
Structural damage identification becomes a significant field in Structural Health. Researchers have proposed methods based on adding components such as mass and stiffness to the structure that can effectively increase the amount of modal information and improve the accuracy of damage identification. Zhang [33] proposed an approach for optimal sensor placement based on the PSO algorithm for the structural health monitoring of long-span cable-stayed bridges, and established the fitness function to solve the optimal problem by using the root mean square (RMS) value of the non-diagonal elements in the modal assurance criterion matrix. This paper takes the identification of damage parameters as the ultimate goal and studies the problem of optimal placement of the added virtual masses It is structured as follows: Firstly, an optimization criterion based on the volumetric maximum of the sensitivity matrix is proposed. The feasibility and effectiveness of the proposed method are validated by a numerical simulation example of a supported beam structure and a truss structure
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