Buckling and free vibrations behaviour through differential quadrature method for foamed composites

The current work focuses on predicting the buckling and free vibration frequencies (fn) of cenosphere reinforced epoxy based syntactic foam beam under varying loads. Critical loads (Ncr) fn are predicted using differential quadrature method (DQM). Ncr have been calculated for beams volume fractions subjected to axial load clamped-clamped (CC), clamped-simply (CS), simply-simply (SS), clamped-free (CF) boundary conditions (BC′s). Upon increasing fraction, composites increases. These numerical outcomes compared with theoretical values evaluated through Euler-Bernoulli hypothesis further experimental outcomes. Results observed be in precise agreement. results DQM analysis given out different BC′s, aspect ratios, fractions, It is perceived that depending type ratios has a substantial effect behaviour beams. A comparative study obtained showed parabolic CC exhibited higher load.