Free transverse vibration analysis of laminated composite beams with arbitrary number of concentrated masses

In this study, a new closed-form solution for transverse free vibration analysis of laminated composite beams (LCBs) with arbitrary number concentrated masses is developed. The LCB modeled based on the Euler–Bernoulli beam theory and are simulated considering Dirac delta function. Obtained governing equations are, then, solved semianalytically, while frequency equation mode shapes extracted two different boundary conditions, i.e., clamped-free simply supported. order to verify solution, represented model simplified without mass outcomes compared available results in literature. Finally, effects as well location response investigated detail. highlight that increase value point masses, natural frequencies decrease. Also, it was revealed influences cantilever more than supported one. These would practically be used minimize detrimental vibrational noises, leading structural components’ lifetime.