Non-Rigid Object Resonance Mapping with Composite Periodic Motion
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Solution Overview
Problem
Existing methods for identifying the dynamic behavior of non-rigid objects, such as those with flexible or liquid parts, are time-consuming and costly due to the need for numerous tests to explore various movements and frequencies, and they fail to accurately represent the resonance modes of such objects.
Innovation Solution
A method involving a predefined periodic movement composed of multiple geometrically-independent elementary movements at specific frequencies, combined with sensor data collection and Fourier transform analysis, to systematically identify resonance modes without prior knowledge of operational movements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If generic movements are applied sequentially with different amplitudes and frequencies to identify resonance modes, then the resonance modes can be detected, but the process becomes time-consuming and costly
Solution Approach 1:
The patent combines multiple elementary movements (pitch, roll, yaw oscillations) into a single composite periodic movement that excites multiple resonance modes simultaneously. This merging of movement types allows identification of multiple resonance modes in one test sequence rather than requiring separate tests for each movement type, thereby reducing testing time while maintaining detection accuracy
Solution Approach 2:
The patent employs periodic movements with specific frequency relationships (elementary frequencies as integer multiples of a base frequency) to systematically excite resonance modes. By using periodic actions with harmonically related frequencies, the method efficiently covers a broad frequency range in a structured manner, reducing the time required to identify all relevant resonance modes compared to sequential testing
2Adaptability or versatility
If multiple tests are conducted to explore different movements and frequencies, then comprehensive resonance mode identification is achieved, but the complexity and cost increase
Solution Approach 1:
The patent creates a universal testing method that can identify resonance modes for multiple types of movements (pitch, roll, yaw) and multiple frequency ranges using a single standardized procedure. The composite periodic movement framework is universally applicable to different object geometries and resonance characteristics, eliminating the need for separate specialized test procedures for each movement type or frequency range
Solution Approach 2:
The patent systematically varies key parameters (amplitude, frequency, movement type) within a unified testing framework rather than requiring separate tests for each parameter combination. By changing parameters in a structured sequence within one comprehensive test, the method achieves versatile movement coverage while reducing procedural complexity compared to conducting separate tests for each parameter set
3Measurement precision
If sequential frequency testing is performed to identify resonance modes, then accurate resonance frequencies are determined, but the testing process takes excessive time
Solution Approach 1:
The patent uses periodic movements with harmonically related frequencies (integer multiples of a base frequency) to simultaneously excite multiple resonance modes across different frequency ranges. This periodic action with structured frequency relationships allows accurate identification of multiple resonance frequencies in parallel rather than requiring sequential frequency sweeps, thereby maintaining measurement precision while dramatically improving testing efficiency
Solution Approach 2:
The patent maintains continuous excitation across a broad frequency range through the composite periodic movement, eliminating idle time between sequential frequency tests. The continuous application of harmonically related frequencies ensures that multiple resonance modes are excited and detected in an unbroken sequence, improving productivity while preserving the accuracy needed to identify precise resonance frequencies
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This method reduces the need for sequential frequency testing, enhances reproducibility, and efficiently identifies all resonance modes and their frequencies, providing time savings and improved accuracy in characterizing non-rigid object behavior.
Implementation Method 1
impart to the object a predefined periodic movement at a frequency, called a cycle frequency, the periodic movement being a combination of at least two geometrically-independent periodic elementary movements, each elementary movement having a frequency, called an elementary frequency, which is an integer multiple of the cycle frequency
Implementation Method 2
recording during the activation the variation of at least one variable representative of a dynamic behavior, called a dynamic variable, collected by at least one sensor disposed on at least one of the platform and the object
Implementation Method 3
calculating by a calculating unit, for each of the cycle frequencies within the predefined frequency range, the components of a Fourier transform of the variation of the at least one dynamic variable for each elementary frequency
Implementation Method 4
Resonance is a physical phenomenon that is produced when the frequency of a periodic movement applied to a system is equal to the natural resonance frequency of the system
Data Source
AI summary
A method of identifying the dynamic behavior of a non-rigid object is proposed, the object being firmly fixed to a platform that can be set in motion by a drive device The method comprises activating the drive device so as to give the object a predefined periodic movement at a frequency referred to as “cycle frequency.” The periodic movement is a combination of at least two geometrically independent periodic elementary movements. The method comprises recording, during activation, the variation in at least one variable representative of a dynamic behavior, referred to as “dynamic variable”, and calculating, for each of the cycle frequencies, components referred to as “elementary components”, of a Fourier transform of the variation of the at least one dynamic variable for each elementary frequency. A dynamic behavior of the object is determined as a function of the variation in the elementary components.