Free vibration analysis of hybrid laminated composite cylindrical shells reinforced with shape memory alloy fibers

Abstract

Abst ract In the present pap er, vibra tion behavior of hybrid lamina ted comp osite cylindr ical shells reinforced with shape memor y alloy fi bers is investig ated. Material proper ties of s hape memor y alloy fi bers and composi tes are accurate ly considered tempe rature depe ndent. Thermo -mechani cal proper ties of shape memor y alloy fi ber s with unifor m tempe rature ch ange are calcula ted using Brinson ’s one-dim ensiona l con stitutive law. Love ’s fi rst app roxim ation and fi rst-order shear de- formati on the or y of shells with the von K ´arm ´an type of geometr ical non -linearit y are used in con junction with Ham ilton ’s princip le for deriving the equati ons of motion . The generaliz ed differential qua drature me thod is employed to solve the cou pled par tial diffe rent ial equatio ns. The effects of pre-strain, volume fra ction, phase transfo rmation, location of shape memor y alloy fi ber s, bou ndar y condit ions and temperature on the funda mental frequency of the hybri d laminate d compo site cy lindrical shells are studied. Res ults indicate that a small amo unt of shape memor y alloy fi ber s signi fi cantly increases the fundamenta l freque ncy and vibr ation con trol of the hybri d lamina ted composi te reinforced with shape memor y alloy hyb rid lamina ted composi te cylindr ical shells.