Vibration Damping Analysis of Cantilevered Beam with Partially Inner Layered Damping Material

Abstract

This paper deals with the vibration damping analysis of cantilevered beams having partially inner layered damping material. Vibration and damping characteristics on bending vibration mode of the beam are evaluated on the basis of minimization scheme of the energy functional. The beam model is constructed in sandwich beam elements, two layers beam elements and the connecting springs for translation and rotation. The elastic moduli of damping material are treated as the complex quantity including the material loss factor. The frequency equation of the beam is obtained by minimizing the energy functional and solved to estimate the natural frequencies, modal loss factors and natural vibration modes. Accuracy and validation of present results are studied in terms of the convergence of solutions and comparisons with the analytical results from reference literature. Calculated results are illustrated for several beam models and various parameters such as division number and occupancy of the damping material. Effective design concepts on damping of beam structures are indicated through numerical results.