Modal Analysis of Architectural Structures via Layered Centroid Segmentation
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Solution Overview
Problem
Current methods for identifying torsional vibration modes in architectural structures are either costly, time-consuming, or limited to first-order modes, and often face challenges due to structural obstacles and phase synchronization issues, making them unsuitable for effective modal analysis.
Innovation Solution
A method and system that divide a structure into layers with individual centroids, using multi-axis accelerometers to detect movement and process modal responses, applying linear/zero phase filtering and Hilbert Transform to determine instantaneous vibration directions and amplitudes, and identifying torsional modes by analyzing movement patterns and correlation coefficients.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional methods are used to identify torsional vibration modes, then measurement precision may be maintained, but the method becomes costly and time-consuming
Solution Approach 1:
The structure is divided into multiple layers, each with its own centroid. This segmentation allows independent analysis of each layer's vibration characteristics, enabling parallel processing and reducing overall analysis time while maintaining identification accuracy for torsional modes.
Solution Approach 2:
The method uses response information from a single testing point rather than requiring synchronized responses from multiple testing points. This partial action approach reduces measurement complexity and time requirements while still achieving accurate torsional mode identification through layer-by-layer analysis.
2Measurement precision
If traditional synchronized response methods are used, then measurement accuracy may be maintained, but device complexity increases due to synchronization requirements
Solution Approach 1:
The method extracts and eliminates the synchronization requirement from the measurement system. By analyzing each layer independently with respect to its own centroid and using single-point response data, the complex synchronization system is removed entirely while maintaining measurement precision through the layer-based analysis approach.
Solution Approach 2:
Each layer performs self-analysis by comparing its own response characteristics with its centroid position. This self-service approach eliminates the need for external synchronization systems, as each layer independently determines its vibration mode characteristics without requiring coordinated timing with other layers.
3Measurement precision
If comprehensive structural analysis is performed, then measurement precision is improved, but ease of operation deteriorates due to structural obstacles
Solution Approach 1:
Dividing the structure into layers creates independent analysis zones that can be measured separately. This segmentation allows operators to access and measure each layer independently, avoiding the need to navigate complex structural obstacles throughout the entire structure, thereby improving ease of operation while maintaining comprehensive analysis capability.
Solution Approach 2:
The method achieves comprehensive structural analysis through partial measurement at single testing points on each layer. This partial action approach reduces the physical accessibility requirements compared to traditional methods that require multiple testing points, making the measurement process easier to implement despite structural obstacles.
Data Source
AI summary
A method for performing modal analysis on a structure includes the steps of dividing the structure into a plurality of layers each having an individual centroid; determining a movement of a testing point on each layer with respect to the individual centroid of the plurality of layers, wherein the testing point is at a predetermined distance from the individual centroid along a testing plane; and processing the movement of the testing point on each layer to determine a modal response of the structure. A system for performing modal analysis on a structure includes a movement detection module and a processing module for carrying out the method.