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Information Journal Paper

Title

Free Vibration analysis of Functionally Graded Lattice Plates in Thermal Envirnoment

Pages

  249-258

Keywords

Functionally Graded Material (FGM) 

Abstract

 In the present study, two analytical and numerical methods have been used for studying and testing of Functionally Graded Lattice plates in thermal environments. In the analytical method, the properties of the Functionally Graded plates are defined as a function of temperature, and to take account of the properties of Lattice Plates, the stiffness matrix defined by V. V. Vasiliev is used. The governing equilibrium equations are obtained based on the first order shear deformation theory, which includes displacement and rotational components, and is solved by assuming the boundary conditions that are fully clamped by the energy method. By solving the problem of a special value, the vibrational behavior of the structure in a thermal environment (with the presence of thermal stress) is determined. Analytical and numerical results have been compared and verified with the results of previous works. In the field of Free Vibration, a Functionally Graded Lattice plate in a thermal environment has been used to study various parameters such as changing the size of the ribs, the distance between the ribs and. . . for predicting structural behavior. The results show that when the temperature rises, the normal frequency in the Functionally Graded Lattice plate decreases with the decrease of the width of the ribs and the increase in the distance between the ribs. The use of a purposeful grid plate as a ceramic core reinforcement increases the natural frequency by up to 50%, which in a thermal environment with a rise in temperature, the natural frequency drop is about 3%, while in the FGM plate, this reduction is about 11%. The results also show that the Functionally Graded Lattice plate and the use of the core of the sandwich structure increases the strength and resistance to heat.

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  • Cite

    APA: Copy

    Mikaeili, Ismail, Heydari Beni, Mohsen, & ESKANDARI JAM, JAFAR. (2020). Free Vibration analysis of Functionally Graded Lattice Plates in Thermal Envirnoment. JOURNAL OF MECHANICAL ENGINEERING, 50(3 (92) ), 249-258. SID. https://sid.ir/paper/269856/en

    Vancouver: Copy

    Mikaeili Ismail, Heydari Beni Mohsen, ESKANDARI JAM JAFAR. Free Vibration analysis of Functionally Graded Lattice Plates in Thermal Envirnoment. JOURNAL OF MECHANICAL ENGINEERING[Internet]. 2020;50(3 (92) ):249-258. Available from: https://sid.ir/paper/269856/en

    IEEE: Copy

    Ismail Mikaeili, Mohsen Heydari Beni, and JAFAR ESKANDARI JAM, “Free Vibration analysis of Functionally Graded Lattice Plates in Thermal Envirnoment,” JOURNAL OF MECHANICAL ENGINEERING, vol. 50, no. 3 (92) , pp. 249–258, 2020, [Online]. Available: https://sid.ir/paper/269856/en

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