首页|Nonlinear forced vibration and resonance analysis of composite rectangular sandwich plates with lattice cores
Nonlinear forced vibration and resonance analysis of composite rectangular sandwich plates with lattice cores
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NETL
NSTL
Springer Nature
This study introduces two entirely new lattice core models (models (a) and (c)), presenting their stiffness matrices for the first time, which serve as a foundation for future research. Additionally, it provides the first analytical assessment of the nonlinear forced vibration behavior of composite rectangular sandwich plates with various lattice core geometric patterns under uniform compressive loading. The plate consists of a central lattice core and symmetric homogeneous face plates. Using the first-order shear deformation theory, the partial differential equations of motion are derived via Hamilton's principle and von Karman's nonlinear strain-displacement relations. These equations are then reduced to time-dependent nonlinear ordinary differential equations using the Galerkin method. Primary and secondary resonances are analyzed using the method of multiple scales. The analytically obtained nonlinear primary resonances are validated against the Runge-Kutta numerical method, demonstrating excellent agreement. Secondary resonances, including superharmonic and subharmonic types that introduce new dynamic response frequencies as multiples or fractions of the primary frequencies, are also investigated. These resonances significantly influence the stability and dynamic performance of sandwich plates and play a key role in optimizing their design. This study further examines the effects of key parameters, including rib thickness, core height, and stiffener angles, on vibration amplitude and frequency response curves. The findings, validated through comparisons with existing literature and finite element analysis in ABAQUS, highlight the critical impact of these factors on dynamic behavior and provide valuable insights into design considerations for sandwich plates with lattice cores.
NETL
NSTL
Springer Nature
