Vibration Waveform Control for Non-Gaussian Kinematic Response
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Solution Overview
Problem
Existing vibration control systems struggle to achieve non-Gaussian properties in kinematic quantities like velocity and displacement while maintaining the prescribed acceleration power spectral density (PSD), which is essential for simulating realistic vibration environments.
Innovation Solution
A vibration control system that utilizes sensors to detect acceleration or other kinematic quantities, calculates corresponding PSDs, and generates non-Gaussian waveforms through inverse Fourier transforms and non-Gaussian conversion techniques, ensuring that the test object is vibrated according to reference PSDs with non-Gaussian characteristics.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If Gaussian random vibration is used for acceleration PSD control, then the acceleration PSD requirement is satisfied, but the kinematic quantities (velocity, displacement, jerk) cannot have non-Gaussian properties
Solution Approach 1:
The patent segments the control process into two independent parts: (1) acceleration PSD control using Gaussian random vibration, and (2) non-Gaussian property control of kinematic quantities through separate waveform processing. This allows each control objective to be achieved without interfering with the other, resolving the contradiction between maintaining acceleration PSD accuracy and enabling non-Gaussian kinematic properties.
Solution Approach 2:
The patent introduces a new dimension of control by separately managing the statistical properties (Gaussian vs. non-Gaussian) of different kinematic quantities. While acceleration remains Gaussian for PSD control, the patent applies non-Gaussian conversion to velocity, displacement, or jerk waveforms independently, allowing non-Gaussian properties in these dimensions without compromising acceleration control.
2Reliability
If peak values of kinematic quantities are limited to prevent test interruption, then test continuity is maintained, but the natural Gaussian distribution characteristics are distorted
Solution Approach 1:
The patent applies preliminary action by pre-processing the kinematic quantity waveforms (velocity, displacement, jerk) through non-Gaussian conversion before the vibration test begins. This preprocessing ensures that peak values are appropriately limited while maintaining desired statistical properties, preventing test interruptions without needing to distort the Gaussian distribution during actual testing.
Solution Approach 2:
The patent dynamically adjusts the statistical properties of kinematic quantity waveforms based on test requirements. By applying non-Gaussian conversion selectively to velocity, displacement, or jerk while keeping acceleration Gaussian, the system can adapt the distribution characteristics of different kinematic quantities to match real-world conditions without compromising the fundamental Gaussian nature required for accurate PSD control.
3Adaptability or versatility
If non-Gaussian conversion is applied to kinematic quantities, then realistic vibration environments can be simulated, but the system complexity increases
Solution Approach 1:
The patent extracts the non-Gaussian conversion process as a separate, independent module that operates on kinematic quantity waveforms (velocity, displacement, jerk) independently from the acceleration PSD control system. This extraction allows non-Gaussian properties to be implemented without complicating the core acceleration control mechanism, maintaining system simplicity while adding versatility.
Data Source
AI summary
A vibration control device, while applying Gaussian vibration that matches a target vibration physical quantity PSD to a test piece, makes a corresponding vibration physical quantity non-Gaussian. Using a response vibration physical quantity PSD and a target vibration physical quantity PSD, a control vibration physical quantity PSD calculation generates a control vibration physical quantity PSD for generating a drive signal. A PSD conversion converts the control vibration physical quantity PSD into a control corresponding vibration physical quantity PSD of another dimension. Using the control corresponding vibration physical quantity PSD, a control corresponding vibration physical quantity waveform calculation calculates a control corresponding vibration physical quantity waveform that is non-Gaussian. At least based on the control characteristics and the control corresponding vibration physical quantity waveform, a drive waveform calculation generates a next drive waveform such that vibration that matches the control corresponding vibration physical quantity waveform is applied to a test piece.