Free vibration of two elastically coupled rectangular plates with uniform elastic boundary restraints

摘要: Abstract An analytical method is derived for determining the vibrations of two plates which are generally supported along boundary edges, and elastically coupled together at an arbitrary angle. The interactions all four wave groups (bending waves, out-of-plane shearing in-plane longitudinal waves) have been taken into account junction via types coupling springs stiffnesses. Each transverse displacement functions expressed as superposition a two-dimensional (2-D) Fourier cosine series several supplementary introduced to ensure improve convergence representation by removing discontinuities that original its derivatives will potentially exhibit edges when they periodically expanded onto entire x–y plane mathematically implied 2-D series. unknown expansions coefficients calculated using Rayleigh–Ritz procedure actually equivalent solving governing equation conditions directly assumed solutions sufficiently smooth over solution domains. Numerical examples presented different configurations. A good comparison observed between current results FEA models. Although this study specifically focused on plates, proposed can be extended structures consisting any number plates.