This invention discloses a method for identifying
internal resonance in flexible structures based on acoustic measurements, comprising: 1. Calculating the natural frequencies and mode shapes of the flexible structure through dynamic modeling and eigenvalue solving to determine that the structure has approximately reducible mode frequencies, satisfying the preconditions for
internal resonance; 2. Arranging several
sound pressure sensors near the flexible structure to collect the time-domain
signal of the dynamic radiated
sound pressure of the structure; 3. Using
fast Fourier transform to extract the
sound pressure amplitude of each sound
pressure sensor near a certain low-order
natural frequency, and plotting the
directivity curve of the sound
pressure amplitude with respect to the spatial position of the sensor. By comparing the
directivity curve with the geometric characteristics of the mode shapes of the flexible structure, it is determined whether the structure is in an
internal resonance state. This invention can identify whether the low-order
coupling modes of the flexible structure are excited by monitoring the spatial
directivity curve of the radiated sound pressure of the flexible structure, thereby achieving accurate and intuitive identification of internal
resonance phenomena in flexible structures through non-contact, simple, and convenient acoustic measurements.