Free Vibration Analysis of a Functionally Graded Magneto-Piezo-Thermoelastic Ceramic-Metal Nanobeam Using Modified Nonlocal State-Space Strain Gradient Theory

IF 1.8 4区材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Physical Mesomechanics Pub Date : 2025-04-09 DOI:10.1134/S1029959924601258

R. Selvamani, L. Rubine, T. Prabhakaran, M. Yaylaci

引用次数: 0

Abstract

This work studies how the variable nonlocal parameter is related to the material variations across a functionally graded (FG) nanobeam. Hamilton’s principle is used to derive the governing motion equations for a FG nanobeam within the refined higher-order state-space strain gradient theory. The presented formulation is tested numerically via Navier’s solution for a simply supported FG nanobeam. A comparison with the existing published findings is performed to show the precision of results. Furthermore, the effects of the nonlocal parameters of the ceramic and metal parts, as well as temperature, magnetic potential, and electric voltage on the free vibration response are investigated.

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利用修正的非局部状态-空间应变梯度理论分析功能分级磁-压电-热弹陶瓷-金属纳米梁的自由振动

本文研究了非局部参数的变化与功能梯度纳米梁材料变化之间的关系。利用Hamilton原理推导了精细化高阶状态空间应变梯度理论中FG纳米梁的运动控制方程。所提出的公式通过Navier的解决方案进行了数值测试，用于简支FG纳米梁。并与已发表的研究结果进行了比较，以证明结果的准确性。此外，还研究了陶瓷和金属部件的非局部参数以及温度、磁势和电压对自由振动响应的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physical Mesomechanics Materials Science-General Materials Science

CiteScore

3.50

自引率

18.80%

发文量

期刊介绍： The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication.