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On forced vibrations of piezo-flexomagnetic nano-actuator beams

The effect of excitation frequency on the piezomagnetic Euler-Bernoulli nanobeam taking the flexomagnetic material phenomenon into consideration is investigated in this chapter. The magnetization with strain gradients creates flexomagneticity. We couple simultaneously the piezomagnetic and flexomagnetic properties in an inverse magnetization. Resemble the flexoelectricity, the flexomagneticity is also size-dependent. So, it has further notable influence at a small size. Here, a dynamic loading is transversely acted on the nanobeam. This loading plays the role of the excitation force. Moreover, we combine the equilibrium equations with the nonlocal model of strain gradient elasticity (NSGT). Afterward, we impose the Hamilton’s principle for having the governing equations. The attained linear differential equation is transferred into an algebraic equation by using Galerkin weighted residual method. Then, the gained linear algebraic equation is solved which leads to numerical values of dynamic deflections.

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DOI
Digital Object Identifier link open in new tab 10.1088/978-0-7503-3483-9ch7
Category
Publikacja monograficzna
Type
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Language
angielski
Publication year
2021

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