Amirkabir University of Technology Amirkabir Journal of Civil Engineering 2588-297X 52 8 2020 10 22 Free vibration analysis of FGM plates with opening and stiffener Free vibration analysis of FGM plates with opening and stiffener 2025 2042 3411 10.22060/ceej.2019.15832.6047 FA Mojtaba Shahraki Civil Structural Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad. Farzad Shahabian Civil Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad,Mashhad, Iran Reza Jome Manzari Master of Civil Structural Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran Journal Article 2019 02 16 Functionally Graded Materials (FGMs) are kinds of composite materials that due to the continuity of mixture of constituent materials as Functionally Graded, have more effective mechanical properties than multilayered composite materials. The most common use of these materials is in thin[1]walled structures such as plates and shells. Due to some executive needs, make opening and stiffener in plates might be necessary. Free vibration of a system is performed only under the influence of initial conditions and without any external excitation. A system under free vibration situation vibrates with one or more its natural frequencies. If the frequency of vibration caused by the effect of external excitation is equal to the one of the natural frequencies of the system, resonance state occurs. In this case, there will be a large amplitude fluctuation that can cause fracture of huge structures such as bridges and wings of aircrafts. Therefore, in the present study, the effective parameters on free vibration of FGM plates with opening and stiffener have been studied. Functionally Graded Materials (FGMs) are kinds of composite materials that due to the continuity of mixture of constituent materials as Functionally Graded, have more effective mechanical properties than multilayered composite materials. The most common use of these materials is in thin[1]walled structures such as plates and shells. Due to some executive needs, make opening and stiffener in plates might be necessary. Free vibration of a system is performed only under the influence of initial conditions and without any external excitation. A system under free vibration situation vibrates with one or more its natural frequencies. If the frequency of vibration caused by the effect of external excitation is equal to the one of the natural frequencies of the system, resonance state occurs. In this case, there will be a large amplitude fluctuation that can cause fracture of huge structures such as bridges and wings of aircrafts. Therefore, in the present study, the effective parameters on free vibration of FGM plates with opening and stiffener have been studied. https://ceej.aut.ac.ir/article_3411_2f06ba421063931b76ffe5958a292a32.pdf