Modal vibration analysis system
A modal vibration analysis system and corresponding method is provided. Exciters are coupled to a structure under test for generating vibrations in the structure. Sensors are coupled to the structure at multiple locations for sensing vibrations generated in response to the excitations. A controller provides drive signals to the exciters such that the sensor signals have a target output spectrum with specified characteristics in multiple designated frequency domains of the spectrum, characterized by a random phase for each frequency. Modal analysis processes digitized sensor signals with a Fast Fourier Transform conducted at two or more specified data sampling rates to synthesize a spectrum containing data points with finer frequency resolution for lower frequency range, and regular frequency resolution for higher frequency range. From the multi-resolution spectra, natural frequencies and damping coefficients are determined at each mode, and a mode shape at each natural frequency is computed.
1. A modal vibration analysis system, comprising:
a set of one or more exciters coupled to a structure under test for generating vibrations in the structure;
a set of sensors coupled to the structure at multiple locations for sensing vibrations generated in the structure in response to excitation;
a controller receiving sensor signals corresponding to the sensed vibrations from the set of sensors and providing drive signals to the set of exciters such that the sensor signals have a target output spectrum with specified characteristics in multiple designated frequency domains of the spectrum, wherein the set of exciters simultaneously excite multiple coupled modes of vibration in the structure; and
a modal analysis system receiving the excitation reference signal and sensor signals to compute a set of frequency response functions for the structure at multiple frequencies and sensor locations, determine natural frequencies and damping coefficients at each mode, and compute a mode shape at each natural frequency, wherein the computation of frequency response functions is carried out in parallel paths at finer frequency resolution for lower frequency range.
2. The system as in claim 1 , wherein each exciter is connected to an amplifier and the drive signals are provided to the set of one or more exciters via their corresponding amplifiers.
3. The system as in claim 1 , wherein the drive signal provided to the set of exciters by the controller is characterized by a random phase for each frequency.
4. The system as in claim 1 , wherein the set of exciters consists of a single exciter having a controlled spectrum shape of applied vibrational energy versus frequency.
5. The system as in claim 1 , wherein the set of exciters comprises two or more exciters with vibrational outputs having a controlled summation of spectrum shapes of applied vibrational energy versus frequency.
6. The system as in claim 1 , wherein sensor signals from the set of sensors are analog signals converted into digital form by a corresponding set of A/D converters in the controller, all A/D converters being synchronized by a common sampling clock.
7. The system as in claim 1 , wherein the modal analysis system processes digitized sensor signals with data windowing and a Fast Fourier Transform (FFT) process conducted at two or more specified data sample rates to synthesize a spectrum containing data points at two or more frequency resolutions, the data points of the synthesized spectrum being stored in a contiguous array.
8. The system as in claim 1 , wherein the modal analysis system is carried out at finer frequency resolution for lower frequency range by splitting digitized sensor signals into two or more data paths, all but one data path going through a low pass filter and down-sample process, digitized sensor signals in each data path, after any down-sampling, then undergoing data windowing and a Fast Fourier Transform (FFT) process to synthesis a spectrum for each data path, the spectra from each data path being merged into a composite spectrum containing data points at two or more frequency resolutions, the data points of the synthesized spectrum being stored in a contiguous array.
9. The system as in claim 1 , wherein the modal analysis system determines natural frequencies and damping coefficients at each mode, and computes a mode shape of each mode, from a multi-resolution spectrum first synthesized from the sensor signals and excitation reference signals.
10. A method of preforming modal vibration analysis, comprising:
generating vibrations in a structure under test using a set of one or more exciters coupled to the structure;
sensing the generated vibrations by a set of sensors coupled to the structure at multiple locations and producing corresponding sensor signals, a controller responsive to the sensor signals providing drive signals to the set of exciters such that the sensor signals have a target output spectrum with specified characteristics in multiple designated frequency domains of the spectrum, wherein the set of exciters simultaneously generate all modes of vibration within the testing frequency range in the structure; and
conducting modal analysis upon the sensor signals and excitation reference signal(s) to compute a set of frequency response functions for the structure at multiple frequencies and sensor locations, determine natural frequencies and damping coefficients at each mode, and compute a mode shape at each natural frequency, wherein the computation of frequency response functions is carried out in parallel paths at finer frequency resolution for lower frequency range.
11. The method as in claim 10 , wherein the generated vibrations are characterized by a random phase for each frequency.
12. The method as in claim 10 , wherein the vibrations are generated by a single exciter, the vibrations having a controlled spectrum shape of applied vibrational energy versus frequency.
13. The method as in claim 10 , wherein the vibrations are generated by multiple exciters with vibrational outputs having a controlled summation of spectrum shapes of applied vibrational energy versus frequency.
14. The method as in claim 10 , wherein sensor signals are converted into digital form synchronized by a common sampling clock.
15. The method as in claim 10 , wherein the modal analysis comprises data windowing and a Fast Fourier Transform (FFT) process conducted at two or more specified data sample rates to synthesize a spectrum containing data points at two or more frequency resolutions, the data points of the synthesized spectrum being stored in a contiguous array.
16. The method as in claim 10 , wherein the modal analysis is carried out at finer frequency resolution for lower frequency range by splitting digitized sensor signals into two or more data paths, all but one data path going through a low pass filter and down-sample process, digitized sensor signals in each data path, after any down-sampling, then undergoing data windowing and a Fast Fourier Transform (FFT) process to synthesis a spectrum for each data path, the spectra from each data path being merged into a composite spectrum containing data points at two or more frequency resolutions, the data points of the synthesized spectrum being stored in a contiguous array.
17. The method as in claim 10 , wherein the modal analysis further determines the natural frequencies and damping coefficients at each mode, and computes the mode shape at each mode, from a multi-resolution spectrum first synthesized from the sensor signals and excitation references.