Analysis of strain and stress in composite layered plate using shear deformation theory and secant function

Subject Areas :

Iman  Najimi ¹ (Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran)
Saeed  Jafari Mehrabadi ² (Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran)
Peyman  Yousefi ³ (Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran)

Received: 2022-03-25 Accepted : 2022-06-20 Published : 2022-05-22

Keywords: secant function, Layered composite materials, higher order theory of shear deformation, Hamilton's principle,

Abstract :

The increasing applications of compound materials in various industries, including aerospace, shipbuilding, micro and macro dimensions have, So researcher special attention to the design of these structures. In this study, static analysis of a rectangular plate with the special case of high order correction of shear deformation was investigated by considering the, secant function in spatial change field. In this study, the relation between the changes and the Hamilton's principle has been achieved by forming the different energy term of the system. To solving the governing equations, the Navier - stokes equations are implemented using sinusoidal and sinusoidal functions and considering the boundary conditions of the system. By solving the equations, the deflection values of the plates are calculated according to the changes in the system parameters and the obtained results are compared with the results contained in the validated literature and the accuracy of them is sufficient. In conclusion, the bounded analysis with the help of secant functions is very close to the responses obtained from similar researches and in certain cases we can use these functions.

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