1 results about "Mass matrix" patented technology

This invention discloses a method, system, device, and medium for forward calculation and performance prediction of acoustic superstructures, relating to the field of vibration reduction and noise reduction technology. The method includes: constructing a finite element model of periodic elements to obtain the stiffness and mass matrices; introducing periodic boundary conditions to transform the wave control equations into a nonlinear eigenvalue problem of complex wavenumbers; employing a contour integral algorithm to solve all characteristic wavenumbers and corresponding generalized eigenvectors in one step within a pre-set closed contour in the complex wavenumber plane; automatically matching and tracking characteristic wavenumbers of the same physical wave branch based on eigenvector similarity in the target frequency domain, and plotting a continuous dispersion curve; identifying vibration bandgap based on the dispersion curve, recovering the generalized eigenvectors to physical space for wave mode analysis, and completing performance prediction. This invention overcomes the computational efficiency bottleneck of traditional methods in complex element and mid-to-high frequency analysis, reveals the wave coupling mechanism of bandgap generation, and provides core support for topology optimization of acoustic superstructures.