A study on the dynamic characteristics of the stiffened coupled plate with the effect of the dynamic vibration absorbers

The dynamic characteristics of the stiffened coupled plate under the action of dynamic vibration absorbers were studied in detail, including free vibration behavior and steady-state displacement response characteristics. In the research process, the dynamic vibration absorbers were simplified as the mass -spring models, and the virtual spring theory was introduced to simulate the boundary conditions and the coupling connections between the plates and the beams. On this basis, an improved Fourier series method was introduced to describe the displacement components of the rectangular plates and stiffeners, and the energy functional expression of the coupled model was solved by the Ritz method, finally obtaining the dynamic characteristics of the stiffened coupled plate with the effect of dynamic vibration absorbers. The correctness of the established analysis model was verified by comparing with the calculation results of the finite element method. At the same time, the effect of the dynamic vibration absorbers was analyzed, and related parametric studies are carried out to analyze the influence of the structural parameters of the stiffeners and the position parameters of dynamic vibration absorbers on the vibration characteristics of the stiffened coupled plate.