Stochastic vibration characteristics of finite element modelled functionally gradient plates

Talha, Mohammad; Singh, B.N.

doi:10.1016/j.compstruct.2015.04.030

Cited by 46 publications

(10 citation statements)

References 42 publications

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“…Talha and Singh [188,189] presented stochastic perturbationbased finite element for buckling and vibration characteristics of FGMs under thermal environments based on modified HSDT. Nguyen [190] emphasized on the nonlinear postbuckling behavior of imperfect eccentrically stiffened thin FGM plates under thermal loading.…”

Section: Bending and Stability Analysis Of Fg Platesmentioning

confidence: 99%

Recent development in modeling and analysis of functionally graded materials and structures

Gupta

Talha

2015

Progress in Aerospace Sciences

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115

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Section: Bending and Stability Analysis Of Fg Platesmentioning

confidence: 99%

Recent development in modeling and analysis of functionally graded materials and structures

Gupta

Talha

2015

Progress in Aerospace Sciences

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403

115

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“…Additionally, among the different random system properties studied, the elastic modulus, volume fraction exponent, density of metal and ceramic were found to have dominant effects on the covariance of nonlinear fundamental frequency. In connection to a previous work, Talha and Singh [11] considered the material properties to be temperature-dependent, and graded in the thickness direction according to a simple power law. The structural kinematics was implemented with a stochastic C0 finite element based on the first-order perturbation technique to accomplish the second-order response statistics of the graded plates.…”

Section: Introductionmentioning

confidence: 98%

Assessing the influence of material and geometrical uncertainty on the mechanical behavior of functionally graded material plates

Carvalho

Silva²,

Loja

et al. 2016

Mechanics of Advanced Materials and Structures

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Composite materials possessing a functional gradient are becoming strong candidates to enhance the performance of structures, when severe operating conditions are a reality. This type of conditions may for example, range from situations where a high thermal gradient is present to others where it is imperative to minimize abrupt stresses transitions between materials interfaces. The manufacturing achievement of the gradients determined for a specific application may in practice face some limitations which can be due, among other factors, to technological process constraints, eventual operating condition deterioration of production stages or to non-conforming raw materials. Regardless the origin of such limitations, the reality is that the uncertainty is always present to some extent, being this clearly reflected in the scattering of material and geometrical properties of these composites. The understanding that deterministic analyses are not enough to provide a complete prediction of the composite structures behavior emphasizes the crucial need to identify the effects that the variability in material and geometrical parameters will produce in the structural response. With the present work, one intends to study the influence of this variability in the static and free vibrations behavior of functionally graded plates. It is also an objective of this study the use of regression models to predict these responses, to characterize the contribution of each model parameter to the explanation of the response variability. To this purpose, a set of numerical results is presented and discussed.

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“…Stochastic Differential Equations (SDE) in financial mathematics and economics have been extensively investigated [1][2][3][4][5][6]. Also, the effect of stochastic factors in science and mechanical and electronic engineering has been considered [7][8][9][10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

A Case Study on Designing a Sliding Mode Controller to Stabilize the Stochastic Effect of Noise on Mechanical Structures: Residential Buildings Equipped with ATMD

Azizi

2020

Complexity

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This study aims to stabilize the unwanted fluctuation of buildings as mechanical structures subjected to earth excitation as the noise. In this study, the ground motion is considered as a Wiener process, in which the governing stochastic differential equations have been presented in the form of Ito equation. To stabilize the vibration of the system, the ATMD system is considered and located on the upmost story of the building. A sliding mode controller has been utilized to control the ATMD system, which is a robust controller in the presence of uncertainty. For this purpose, the design of a sliding mode controller for the general dynamic system with Lipschitz nonlinearity and considering the Ito relations has been accomplished. The mentioned design has been implemented considering the presence of the Weiner process and existence of uncertainty in the structure and actuator. Then, the obtained general control law has been generalized to control the ATMD system. The results show that the designed controller is effective to reduce the effect of the unwanted impused vibrations on the building.

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Stochastic vibration characteristics of finite element modelled functionally gradient plates

Cited by 46 publications

References 42 publications

Recent development in modeling and analysis of functionally graded materials and structures

Recent development in modeling and analysis of functionally graded materials and structures

Assessing the influence of material and geometrical uncertainty on the mechanical behavior of functionally graded material plates

A Case Study on Designing a Sliding Mode Controller to Stabilize the Stochastic Effect of Noise on Mechanical Structures: Residential Buildings Equipped with ATMD

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