FREE TRANSVERSE VIBRATIONS OF CANTILEVER BEAM FOR TAPERED THICKNESS PREPARED FROM VARIANT FIBERS REINFORCED POLYESTER

Abstract

The natural frequency of the cantilever beam for the tapered thickness in the current paper is estimated using a Raleigh-Ritz approach. The study explores the effect of different parameters on the behavior of the beam such as the length of beam “L”, thickness at clamped end “hc”, width “b”, the ratio of thickness at free end to thickness at clamped end “hf/hc”, types of fibers and the concentration of fibers “f” in the resin of unsaturated polyester representing the matrix. The resin can be reinforced by aligned long fibers such as E-fibers glass, Kevlar-49 and carbon fibers. When a tapered beam is formed from a composite material, the natural frequency decreases when the length of the beam and the ratio of the thickness “hf/hc” increase; however, the frequency increases as the width of the beam increases. The thickness at the clamped end likewise increases as the volume fraction of fibers in the resin increases. The carbon fiber beam has a higher natural frequency than the other types of fibers. Finally, the results were compared to other available results and were determined to be consistent.