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Abstract
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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Keywords
Details
- Category:
- Monographic publication
- Type:
- rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
- Title of issue:
- Numerical and semi-analytical methods strony 7-1 - 7-17
- Language:
- English
- Publication year:
- 2021
- Bibliographic description:
- Malikan M., Eremeev V.: On forced vibrations of piezo-flexomagnetic nano-actuator beams// Numerical and semi-analytical methods/ : IOP Publishing, 2021,
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/978-0-7503-3483-9ch7
- Verified by:
- Gdańsk University of Technology
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