Nonlinear vibration of Timoshenko FG porous sandwich beams subjected to a harmonic axial load

IF 2.6 2区 工程技术 Q2 ENGINEERING, CIVIL Earthquake Engineering and Engineering Vibration Pub Date : 2024-07-13 DOI:10.1007/s11803-024-2263-7
Milad Lezgi, Moein Zanjanchi Nikoo, Majid Ghadiri
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Abstract

In this study, the instability and bifurcation diagrams of a functionally graded (FG) porous sandwich beam on an elastic, viscous foundation which is influenced by an axial load, are investigated with an analytical attitude. To do so, the Timoshenko beam theory is utilized to take the shear deformations into account, and the nonlinear Von-Karman approach is adopted to acquire the equations of motion. Then, to turn the partial differential equations (PDEs) into ordinary differential equations (ODEs) in the case of equations of motion, the method of Galerkin is employed, followed by the multiple time scale method to solve the resulting equations. The impact of parameters affecting the response of the beam, including the porosity distribution, porosity coefficient, temperature increments, slenderness, thickness, and damping ratios, are explicitly discussed. It is found that the parameters mentioned above affect the bifurcation points and instability of the sandwich porous beams, some of which, including the effect of temperature and porosity distribution, are less noticeable.

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承受谐波轴向载荷的 Timoshenko FG 多孔夹层梁的非线性振动
本研究采用分析方法研究了弹性粘性地基上受轴向载荷影响的功能分层(FG)多孔夹层梁的不稳定性和分叉图。为此,利用季莫申科梁理论将剪切变形考虑在内,并采用非线性 Von-Karman 方法获取运动方程。然后,为了将运动方程中的偏微分方程 (PDE) 转化为常微分方程 (ODE),采用了 Galerkin 方法,然后用多时标法求解得到的方程。明确讨论了影响梁响应的参数的影响,包括孔隙率分布、孔隙率系数、温度增量、细长率、厚度和阻尼比。研究发现,上述参数会影响夹层多孔梁的分岔点和不稳定性,其中一些参数,包括温度和孔隙率分布的影响,则不太明显。
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来源期刊
CiteScore
4.70
自引率
21.40%
发文量
1057
审稿时长
9 months
期刊介绍: Earthquake Engineering and Engineering Vibration is an international journal sponsored by the Institute of Engineering Mechanics (IEM), China Earthquake Administration in cooperation with the Multidisciplinary Center for Earthquake Engineering Research (MCEER), and State University of New York at Buffalo. It promotes scientific exchange between Chinese and foreign scientists and engineers, to improve the theory and practice of earthquake hazards mitigation, preparedness, and recovery. The journal focuses on earthquake engineering in all aspects, including seismology, tsunamis, ground motion characteristics, soil and foundation dynamics, wave propagation, probabilistic and deterministic methods of dynamic analysis, behavior of structures, and methods for earthquake resistant design and retrofit of structures that are germane to practicing engineers. It includes seismic code requirements, as well as supplemental energy dissipation, base isolation, and structural control.
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