This paper investigates the nonlinear dynamic behavior of a nonlocal functionally graded Euler–Bernoulli beam resting on fractional visco-Pasternak foundation and subjected to harmonic loads. The proposed model captures both, parameter considering elastic stress gradient field material length scale strain field. Additionally, von Karman strain–displacement relation is used describe geometrical ...

The bending and free vibration of porous functionally graded (PFG) beams resting on elastic foundations are analyzed. material features the PFG beam assumed to vary continuously through thickness according volume fraction components. foundation medium is also considered be linear, homogeneous, isotropic, modeled using Winkler-Pasternak law. hyperbolic shear deformation theory applied for kinema...

In this work, a comprehensive vibrational behavior analysis is performed on anti-symmetric laminated composite plates resting visco-elastic foundations undergoing thermal effects. Here, the governing equations of motion are developed through Hamilton's principle and Reddy's plate theory as higher-order shear deformation (HSDT) employed to capture high accuracy. Also, generalized differential qu...

Moore, T . (1957). Vitamin A, p. 204. Amsterdam: Elsevier. Murray, T. K. (1962). Proc. SOC. exp. B i d , N.Y., 111, 609. Nelson, E. C., Dehority, B. A. & Teague, H. S. (1963). Fed. Proc. 22, 434. Pasternak, C. A., Humphries, S. K. & Pirie, A. (1963). Bi0chem.J. 86, 382. Pitt, G. A. J. & Morton, R. A. (1962). Annu. Rev. Biochem. 31, 491. Plack, P. A. (1960). Nature, Lond., 186, 234. Plack, P. A....

In the present paper, the free vibration characteristics of nanobeams embedded in an elastic medium are investigated. Inclusion of size effects is considered in the analysis by incorporating Eringen’s nonlocal elasticity continuum into the classical Euler–Bernoulli beam theory. To include the surrounding elastic medium, the Pasternak elastic foundation model is utilized, including shear deforma...

Moore, T . (1957). Vitamin A, p. 204. Amsterdam: Elsevier. Murray, T. K. (1962). Proc. SOC. exp. B i d , N.Y., 111, 609. Nelson, E. C., Dehority, B. A. & Teague, H. S. (1963). Fed. Proc. 22, 434. Pasternak, C. A., Humphries, S. K. & Pirie, A. (1963). Bi0chem.J. 86, 382. Pitt, G. A. J. & Morton, R. A. (1962). Annu. Rev. Biochem. 31, 491. Plack, P. A. (1960). Nature, Lond., 186, 234. Plack, P. A....

O. Pasternak, N. Sochen, Y. Assaf School of Computer Science, Tel Aviv University, Tel Aviv, Israel, Department of Applied Mathematics, Tel Aviv University, Tel Aviv, Israel, The Wohl Institute for Advanced Imaging, Tel Aviv Sourasky Medical Center, Tel Aviv, Israel, School of Chemistry, Tel Aviv University, Tel Aviv, Israel Introduction White matter mapping using Diffusion Tensor Imaging (DTI)...