Isogeometric three-dimensional vibration of variable thickness parallelogram plates with in-plane functionally graded porous materials

Chen, Mingfei; Ye, Tiangui; Zhang, Jianhua; Jin, Guoyong; Zhang, Yantao; Xue, Yaqiang; Ma, Xianglong; Liu, Zhigang

doi:10.1016/j.ijmecsci.2019.105304

Cited by 38 publications

(9 citation statements)

References 59 publications

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“…When structure is in a real working environment, analyzing its energy transfer path is complicated and difficult [2]. TPA is a powerful method for the transfer analysis of vibration and noise [3].…”

Section: Introductionmentioning

confidence: 99%

Transfer Path Analysis for Semisubmersible Platforms Based on Noisy Measured Data

et al. 2019

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A new energy transfer path analysis (TPA) method that aims to analyze the transfer path of components with characteristic frequencies in semisubmersible platform structures is proposed in this paper. Due to the complexity of semisubmersible platforms, traditional TPA methods based on measurements are no longer applicable. In the proposed method, the structure is considered to be a “source-path-receiver” system and the vibration signals from the source-points are analyzed first to determine the characteristic components. Then, the signals from the source-points and the receiver-points are decomposed by introducing a state–space model. Through correlation functions, the characteristic components can be extracted, and the transfer path can be obtained by calculating the transmissibility functions. By using transmissibility functions, the proposed method only relies on the output responses and avoids the measurement of force and transfer functions. Three examples, one numerical example containing a two-degree-of-freedom (2-DOF) model and a 5-DOF model, one experiment implemented on a barge, and the data from a dynamic positioning (DP) cabin of a semisubmersible platform were used to investigate the performance of the proposed method. The results show that the proposed method can be used to assess the transfer path quantitatively and has potential value of application in engineering.

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Section: Introductionmentioning

confidence: 99%

Transfer Path Analysis for Semisubmersible Platforms Based on Noisy Measured Data

et al. 2019

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“…(2018). Chen et al. (2020) analyzed the vibration behaviors of variable-thickness parallelogram plates with in-plane functionally graded porous materials based on a three-dimensional isogeometric analysis approach.…”

Section: Introductionmentioning

confidence: 99%

“…The free vibration of a rotating variablethickness MFGM circular microplate was investigated by Shojaeefard et al (2018). Chen et al (2020) analyzed the vibration behaviors of variable-thickness parallelogram plates with inplane functionally graded porous materials based on a three-dimensional isogeometric analysis approach. The vibration of FGM circular plates with variable thickness under a thermal environment was inspected in the study of Lal and Saini (2020) based on the generalized differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Transient analysis of variable thickness multi-directional functionally graded plates using isogeometric analysis

Tran

Thai

2023

MMMS

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PurposeThe main objective of this study is to develop a numerical model based on Isogeometric Analysis to study the dynamic behavior of multi-directional functionally graded plates with variable thickness.Design/methodology/approachA numerical study was conducted on the dynamic behavior of multi-directional functionally graded plates. Rectangular and circular plates with variable thickness are taken into investigation. The third-order shear deformation plate theory of Reddy is used to describe the displacement field, while the equation of motion is developed based on the Hamilton's principle. Isogeometric Analysis approach is employed as a discretization tool to develop the system equation, where NURBS basis functions are used. The famous Newmark method is used to solve time-dependent problems.FindingsThe results obtained from this study indicated that the thickness gradation has a more considerable effect than in-plane variation of materials in MFGM plates. Additionally, the influence of the damping factor is observed to affect the vibration amplitude of the plate. The results obtained from this study could be used for future investigations, where the viscous elasticity and other dynamic factors are considered.Originality/valueAlthough there have been a number of studies in the literature devoted to analyzing the linear static bending and free vibration of FGM and MFGM plates with variable thickness, the study on dynamic response of FGM and MFGM plate is still limited. Therefore, this study is dedicated to the investigation of the dynamic behavior of multi-directional functionally graded plates.

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“…10,[57][58][59][60][61][62] Several investigators worked on the static and dynamic characterization of FGMs plates with various porosity distributions due to the potential for diverse uses of porosities. 42,47,[63][64][65][66][67][68] The porous FGMs plate with lightweight and high strengths have applications in aerospace, defense, power plants, marine industries, and bio-medical, among others. 1 Allahkarami et al 69,70 studied the dynamic buckling of BDFGM porous cylindrical and truncated conical shells.…”

Section: Introductionmentioning

confidence: 99%

Geometrically nonlinear behavior of two-directional functionally graded porous plates with four different materials

Shivaramaiah

Kattimani

Shariati

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This article investigates the influence of porosity distributions on the nonlinear behavior of two-directional functionally graded porous plates (TDFGPP) made from four distinct materials for the first time. A simple and effectual approach is established based on the improved generalized shear deformation plate theory (GSDPT) and von Karman’s assumptions. The GSDPT incorporates transverse shear strains with a higher order polynomial to avoid shear locking. The TDFGPP constitutes four different materials, and the modified power-law function is employed to vary the material properties continuously in both transverse and longitudinal directions. The governing equations are obtained using a nonlinear finite element approach in conjunction with Hamilton’s principle. Then, the direct iterative and Newmark’s methods are incorporated to accomplish the numerical results. Finally, the influence of volume fraction grading indices, porosity distributions, porosity volume, thickness ratio, and aspect ratio for different support conditions provides a thorough insight into the linear and nonlinear responses of the porous plate. In addition, this study emphasizes the influence of the volume fraction gradation profiles with four different materials on the linear frequency, nonlinear frequency, and deflections of the TDFGPP. The numerical analysis reveals that the frequencies and nonlinear deformations can be significantly regulated by changing the volume fraction gradation profiles in specified directions with appropriate materials. Hence, two-directional functionally graded materials panels can overcome the drawbacks of the functionally graded materials with a gradation of properties in a single direction.

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Isogeometric three-dimensional vibration of variable thickness parallelogram plates with in-plane functionally graded porous materials

Cited by 38 publications

References 59 publications

Transfer Path Analysis for Semisubmersible Platforms Based on Noisy Measured Data

Transfer Path Analysis for Semisubmersible Platforms Based on Noisy Measured Data

Transient analysis of variable thickness multi-directional functionally graded plates using isogeometric analysis

Geometrically nonlinear behavior of two-directional functionally graded porous plates with four different materials

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