Kinematics effect on honeycomb sandwich beams vibration

Composite structures are used in aerospace, aeronautics, and automotive industries, especially composite sandwich panels which are exposed to vibration, noise, and unusual loads. They are often considered to support vibrations due to their important resistance to fatigue. The aim of this work is to study the influence of displacement fields on the vibration of honeycomb sandwich beams, considering two materials: Nomex paper and Aluminum alloy. For this purpose, the minimum energy method is used to derive the natural frequencies and modal shapes equations of a cantilever honeycomb sandwich beam. The kinetic and potential energies of skins are derived using the classical laminate theory, and several polynomial displacement fields are tested. The effect of core rotational inertia and bending energy on the sandwich beam vibration is also studied. The modal shapes are then examined. Besides, an experimental study is done on the cantilever honeycomb sandwich beam, using an impact hammer for excitation and a laser vibrometer for measurement. The natural frequencies are then obtained by modal analysis. In addition, a numerical simulation is conducted on the cantilever honeycomb sandwich beam to complete this work, and the natural frequencies obtained analytically, numerically, and experimentally are compared. Future steps to enhance this work are finally advanced.