Imperfection sensitivity of nonlinear primary resonance behavior in bi-directional functionally graded porous material beam

Chen, Xianfeng; Chen, Lunting; Lü, Yixin

doi:10.1016/j.compstruct.2021.114142

Cited by 19 publications

(3 citation statements)

References 47 publications

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“…In the field of energy absorption, honeycomb structures have been widely used in the design of energy-absorbing structures due to their low density and high specific strength. This is because they exhibit excellent mechanical properties under dynamic loading conditions [ 21 , 22 ]. The combination of the hierarchical concept and energy-absorbing structures has also received extensive attention.…”

Section: Introductionmentioning

confidence: 99%

Koch Hierarchical Honeycomb: A Fractal-Based Design for Enhanced Mechanical Performance and Energy Absorption

et al. 2023

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A novel energy-absorbing structure, the Koch hierarchical honeycomb, which combines the Koch geometry with a conventional honeycomb structure, is proposed in this work. Adopting a hierarchical design concept using Koch has improved the novel structure more than the honeycomb. The mechanical properties of this novel structure under impact loading are studied by finite element simulation and compared with the conventional honeycomb structure. To effectively verify the reliability of the simulation analysis, quasi-static compression experiments were conducted on 3D-printed specimens. The results of the study showed that the first-order Koch hierarchical honeycomb structure increased the specific energy absorption by 27.52% compared to the conventional honeycomb structure. Furthermore, the highest specific energy absorption can be obtained by increasing the hierarchical order to 2. Moreover, the energy absorption of triangular and square hierarchies can be significantly increased. All achievements in this study provide significant guidelines in the reinforcement design of lightweight structures.

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Section: Introductionmentioning

confidence: 99%

Koch Hierarchical Honeycomb: A Fractal-Based Design for Enhanced Mechanical Performance and Energy Absorption

et al. 2023

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“…To the best of the authors’ knowledge, only a few studies have investigated the nonlinear vibrations of porous structures made of BDFG materials. Recent works (Chen et al, 2021; Wu et al, 2021) focused on the nonlinear behavior of BDFG porous beams with different types of materials and porosity patterns. In these works, the equations of motion are formulated based on Timoshenko beam considering von Karman’s geometric nonlinearity and first-order deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Free and forced nonlinear vibrations of Bi-Directional functionally graded Euler–Bernoulli porous beams

Sari

Al‐Dahidi

Hammad

2022

Journal of Vibration and Control

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In this study, the free and forced vibrations of a bi-directional functionally graded porous beam are investigated. The governing equations of motion are derived by Hamilton’s principle, and the reduced temporal equation of motion with cubic and quintic nonlinear terms is obtained using the Galerkin approach. Analytical solutions for the nonlinear natural frequencies in addition to the primary resonance response curves are established by the method of multiple scales. The effects of the axial and transverse functionally graded indexes, initial amplitude, porosity parameter, and the elastic and mass density ratios on the nonlinear frequencies and the forced responses are examined.

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“…It can be said that the deterministic model, with deterministic properties, has been well-applied to analyze mechanical behaviors of the microstructures. However, the properties of the model are always uncertain [18][19][20], such as the material properties (Young's modulus, Poisson's ratio), geometric dimensions (width and height of section), external load (value and position of load), and boundary conditions (rigid constraint, elastic constraint), etc. For instance, a Stone-Thrower-Wales defect [21] and pentagon-octagon-pentagon defect [22] will lead to uncertainties, regarding the material properties.…”

Section: Introductionmentioning

confidence: 99%

Size-Dependent Mechanical Behaviors of Defective FGM Nanobeam Subjected to Random Loading

2022

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Considering the uncertainties of the materials and loads, the nanobeam made of functionally graded materials were investigated based on the non-local elastic theory. The spline finite point method (SFPM) was established to analyze the bending behavior of the nanobeam-based Timoshenko theory. In comparison with finite element method (FEM), SFPM has higher accuracy. Further, the multi-source uncertainties are considered, material properties are quantified as interval parameters, and loads are taken as random parameters. To deal with the problems with two types of uncertainties coexisting, a hybrid uncertain analysis model was established, and the method of polynomial chaos expansion and dimensional wise (PCE–DW) analysis was proposed to predict the response of nanobeam in the hybrid uncertain system. Numerical examples ultimately illustrate the effectiveness of the model and solution techniques, compared with MCS. The results furtherly verify the efficiency and accuracy.

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Imperfection sensitivity of nonlinear primary resonance behavior in bi-directional functionally graded porous material beam

Cited by 19 publications

References 47 publications

Koch Hierarchical Honeycomb: A Fractal-Based Design for Enhanced Mechanical Performance and Energy Absorption

Koch Hierarchical Honeycomb: A Fractal-Based Design for Enhanced Mechanical Performance and Energy Absorption

Free and forced nonlinear vibrations of Bi-Directional functionally graded Euler–Bernoulli porous beams

Size-Dependent Mechanical Behaviors of Defective FGM Nanobeam Subjected to Random Loading

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