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    Moving Load Analysis of Laminated Porous Micro Beams Resting on Elastic Foundation
    (World Scientific, 2023) Akbaş, şeref Doğuşcan
    This research highlights dynamic displacements of laminated porous micro beams resting on elastic foundation under moving load. In the constituted equation of laminated micro scaled beam, the modified coupled stress theory is used in order to determine the size effect. Each layer is considered as identical and porosity distribution and assumed as uniform. Lagrange technique is applied in achieving governing equations, and Ritz method within algebraic polynomials is used for solution. For dynamic solution steps, Newmark average acceleration method is used within time domain. Influences of porosity coefficients, length scale parameter, foundation parameter, order of laminas, fiber orientation angles on dynamically deflections of laminated micro beam are investigated. © 2023 World Scientific Publishing Europe Ltd.
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    Vibration Analysis of Cracked Microbeams by Using Finite Element Method
    (Springer International Publishing, 2022) Akbaş, şeref Doğuşcan; Özgür Yayli, Mustafa; Deliktaş, Babur; Uzun, Büsra
    A finite element method procedure applicable for calculating the free vibration of cracked microbeams is presented in this study. The basic mathematical theory and the background of the cracked microbeam is shown, which included the kinematic energy and the total potential energy of the cracked microbeam. Euler- Lagrange equation and the kinematic boundary conditions are obtained with the help of first variation of cracked microbeam. The accuracy, efficiency, and generality of the proposed approach are fully verified and demonstrated through numerical examples involving different values of the crack location. © Springer Nature Switzerland AG 2022.