The nonlinear vibration of orthotropic functionally graded cylindrical shells surrounded by an elastic foundation within first order shear deformation theory

Sofiyev, A.H.; Hui, David; Haciyev, V.C.; Erdem, Hakan; Yuan, G.Q.; Schnack, E.; Güldal, Veysel

doi:10.1016/j.compositesb.2017.02.006

Cited by 78 publications

(9 citation statements)

References 43 publications

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“…After that, many extensive studies have been carried out which are about the classic thin cylindrical shell's general theories. And now the research interests of many scholars are developing theories and approaches to study the nonlinear 2 Complexity vibration of laminated cylindrical shells [20][21][22][23][24][25], nanotubereinforced composite material [26], and functionally graded material [27][28][29][30][31][32][33]. Moreover, some studies have been carried out on modeling and simulation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells

Sun

Liu

2019

Complexity

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properly cited.Nonlinear dynamic modeling and model reduction strategy are studied in this paper for a rotating thin cylindrical shell. The nonlinear dynamic model is first established in terms of ordinary differential equations, in which the effects of Coriolis and centrifugal forces are considered, as well as the initial hoop tension due to rotation. This model describes both the in-plane vibrations and the flexural vibration and reflects the coupling effects of those deformations. Based on this original model, a novel model reduction strategy is proposed to reduce the degrees of freedom by neglecting vibration modes predominated by in-plane vibrations. Meanwhile, for the reduced-order model, the in-plane vibrations' contributions to the rotating shell's response are still preserved. To validate the dynamic model and the model reduction strategy, comparisons and simulations are carried out. Subsequently, nonlinear dynamic behaviors are investigated preliminarily by analyzing the rotating cylindrical shell's amplitude-frequency responses under different excitation levels.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells

Sun

Liu

2019

Complexity

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“…Composite structures have received immense attention from the engineers and scientists concerning their static, dynamic and stability behaviour (Chakrabarti et al (2011(Chakrabarti et al ( , 2013, Biswal et al (2016), Dey et al (2016d), Mandal et al (2017), Kumari and Behera (2017). Recent studies on the vibration and buckling analysis of advanced lightweight structures (like composites and FGM) in the deterministic regime include non-homogeneity, non-linear behaviour, shear deformation, rotary inertia and effect of elastic foundation in the analysis (Sofiyev et al (2012(Sofiyev et al ( , 2017, Sofiyev and Kuruoglu (2014), Haciyev et al (2018)). Following several decades of deterministic studies, the aspect of considering the effect of uncertainty in material and structural attributes have recently started receiving due attention from the scientific community.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic micromechanical spatial variability quantification in laminated composites

Naskar

Mukhopadhyay

Sriramula

2018

Composites Part B: Engineering

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This article presents a probabilistic framework to characterize the dynamic and stability parameters of composite laminates with spatially varying micro and macro-mechanical system properties. A novel approach of stochastic representative volume element (SRVE) is developed in the context of two dimensional plate-like structures for accounting the correlated spatially varying properties. The physically relevant random field based uncertainty modelling approach with spatial correlation is adopted in this paper on the basis of Karhunen-Loève expansion. An efficient coupled HDMR and DMORPH based stochastic algorithm is developed for composite laminates to quantify the probabilistic characteristics in global responses. Convergence of the algorithm for probabilistic dynamics and stability analysis of the structure is verified and validated with respect to direct Monte Carlo simulation (MCS) based on finite element method. The significance of considering higher buckling modes in a stochastic analysis is highlighted. Sensitivity analysis is performed to ascertain the relative importance of different macromechanical and micromechanical properties. The importance of incorporating source-uncertainty in spatially varying micromechanical material properties is demonstrated numerically. The results reveal that stochasticity (/ system irregularity) in material and structural attributes influences the system performance significantly depending on the type of analysis and the adopted uncertainty modelling approach, affirming the necessity to consider different forms of source-uncertainties during the analysis to ensure adequate safety, sustainability and robustness of the structure.

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“…Application of rotation is being discussed by many academicians (Fang et al, 2002; Sharma et al, 2008; Sharma and Walia, 2007) using wave transference through piezoelectric material. Simultaneously, the effects and applications of stress and strain analysis theory on mechanical structures and engineering composites are not ignorable and which are well introduced in Ferreira et al (2005, 2006), Sofiyev et al (2017), Hui (1988), Ezzin et al (2016), Dahmen et al (2016) and Kolahchi et al (2017). Nasedkin and Eremeyev (2014) investigate the harmonic vibrations of nanosized piezoelectric bodies with surface effects.…”

Section: Introductionmentioning

confidence: 99%

On secular equation of SH waves propagating in pre-stressed and rotating piezo-composite structure with imperfect interface

Chaudhary

Sahu

Singhal

2018

Journal of Intelligent Material Systems and Structures

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An analytical approach is adopted to investigate the SH waves in a composite structure consisting of initially stressed rotating piezoelectric layer and initially stressed substrate with rotation. The interface between the layer and the substrate is assumed to be imperfect. Two distinct types of imperfect interfaces (dielectrically weakly and highly conducting) are considered. Secular equations have been obtained for both electrically open and short cases with weakly and highly performing interface. Particular cases have been derived and matched with existing result. The characteristics of SH wave through the considered framework and their state of relying on different physical and geometrical parameters have been scrutinized based on their numerical results. The parallel simulated outcomes of disparate physical quantities, namely, phase velocity, group velocity, dispersive curves, initial stress, rotation and electromechanical coupling factor, and stress distribution of SH wave in the considered structure are investigated. The considered model may be useful in theoretical foundation and practical application for the development of piezoelectric sensors, structural health monitoring, and surface acoustic wave devices.

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The nonlinear vibration of orthotropic functionally graded cylindrical shells surrounded by an elastic foundation within first order shear deformation theory

Cited by 78 publications

References 43 publications

Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells

Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells

Probabilistic micromechanical spatial variability quantification in laminated composites

On secular equation of SH waves propagating in pre-stressed and rotating piezo-composite structure with imperfect interface

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