Thermoelastic free vibration of rotating pretwisted sandwich conical shell panels with functionally graded carbon nanotube-reinforced composite face sheets using higher-order shear deformation theory:
27 Mar 2021-Vol. 235, Iss: 10, pp 2227-2253
TL;DR: In this paper, the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced carbon-coated co...
Abstract: This article presents a numerical investigation on the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced co...
Citations
More filters
••
TL;DR: In this article , a numerical solution based on finite element method is presented for free vibration analysis of rotating pre-twisted graphene reinforced composite (GRC) cylindrical shell.
Abstract: Abstract A numerical solution based on finite element method is presented for free vibration analysis of rotating pre-twisted graphene reinforced composite (GRC) cylindrical shell. The piece-wise GRC layers are considered to stack according to functionally graded (FG) scheme across its thickness. The temperature-dependent material properties of the FG-GRCs are estimated using the extended Halpin–Tsai model. The motion equation is formulated through Lagrange's equation of motion considering moderate rotational speeds wherein Coriolis effect is ignored. The effects of type of shell, graphene distribution pattern, pre-twist angle, temperature, rotational speed, and hub radius to blade length ratio on the vibration characteristics are scrutinized.
7 citations
••
TL;DR: In this article , free vibration analysis of rotating stiffened truncated conical shells with functionally graded materials (FGM) in a thermal environment is presented based on the higher-order shear deformation theory (HSDT).
Abstract: In this paper, free vibration analysis of rotating stiffened truncated conical shells with functionally graded materials (FGM) in a thermal environment is presented based on the higher-order shear deformation theory (HSDT). Assuming Coriolis acceleration and the centrifugal force, the governing equations of stiffened rotating FGM truncated conical shells are extracted utilizing the HSDT, the Donnell kinematics assumptions, and the smeared stiffeners technique. The partial differential equations are discretized into a set of ordinary differential equations employing Galerkin’s approach. The characteristic equation is computed as a tenth-order polynomial equation in terms of natural circular frequency. Regarding the characteristic equation, the free vibration of the stiffened rotating shell is analyzed to investigate the natural circular frequency. The results are presented and compared with the latest pertained developments found in the literature. Also, the effects of the internal and external stiffener, volume-fraction index, temperature changes, and different vertex angles on the frequency response curve are examined for various rotating speeds.
2 citations
••
13 Dec 2022-Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
TL;DR: A finite element method-based dynamic analysis of pre-twisted sandwich conical shell panel having functionally graded graphene-reinforced composite (FG-GRC) facings and homogenous core without or with pores under low-velocity impact in thermal environments is performed utilizing a higher-order shear deformation theory (HSDT) as mentioned in this paper .
Abstract: A finite element method-based dynamic analysis of pre-twisted sandwich conical shell panel having functionally graded graphene-reinforced composite (FG-GRC) facings and homogenous core without or with pores under low-velocity impact in thermal environments is performed utilizing a higher-order shear deformation theory (HSDT). In each facing, the graphene sheets are either uniformly dispersed or layer-wise functionally graded across its thickness. The extended Halpin-Tsai model is employed to estimate the temperature-dependent elastic properties of the nanocomposite facings. The contact force induced between the impactor and target panel is computed through the modified Hertzian contact law. The equations of motion of the FG-GRC sandwich conical shell panel are formulated based on Lagrange’s equation. The solutions of the resulting equations of motion are obtained employing Newmark’s time integration scheme. After verifying the consistency and accurateness of the present method, the effects of some critical parameters like graphene grading profile, temperature, core-to-facings thickness ratio, pre-twist angle, span-to-cone length ratio, impactor’s initial velocity, impactor’s size, and porosity coefficient on the impact response of the pre-twisted FG-GRC sandwich conical shell panel in uniform thermal environments are scrutinized.
References
More filters
•
01 Jan 1974
TL;DR: In this article, the authors present a formal notation for one-dimensional elements in structural dynamics and vibrational properties of a structural system, including the following: 1. Isoparametric Elements.
Abstract: Notation. Introduction. One-Dimensional Elements, Computational Procedures. Basic Elements. Formulation Techniques: Variational Methods. Formulation Techniques: Galerkin and Other Weighted Residual Methods. Isoparametric Elements. Isoparametric Triangles and Tetrahedra. Coordinate Transformation and Selected Analysis Options. Error, Error Estimation, and Convergence. Modeling Considerations and Software Use. Finite Elements in Structural Dynamics and Vibrations. Heat Transfer and Selected Fluid Problems. Constaints: Penalty Forms, Locking, and Constraint Counting. Solid of Revolution. Plate Bending. Shells. Nonlinearity: An Introduction. Stress Stiffness and Buckling. Appendix A: Matrices: Selected Definition and Manipulations. Appendix B: Simultaneous Algebraic Equations. Appendix C: Eigenvalues and Eigenvectors. References. Index.
6,126 citations
•
01 Jan 1982
TL;DR: Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08.
Abstract: Keywords: Methode des elements finis ; Mathematique ; Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08
5,049 citations
••
TL;DR: In this paper, in situ transmission electron microscopy studies provided information regarding composite deformation mechanisms and interfacial bonding between the multi-wall carbon nanotubes and polymer matrix, indicating significant load transfer across the nanotube-matrix interface.
Abstract: Multiwall carbon nanotubes have been dispersed homogeneously throughout polystyrene matrices by a simple solution-evaporation method without destroying the integrity of the nanotubes. Tensile tests on composite films show that 1 wt % nanotube additions result in 36%–42% and ∼25% increases in elastic modulus and break stress, respectively, indicating significant load transfer across the nanotube-matrix interface. In situ transmission electron microscopy studies provided information regarding composite deformation mechanisms and interfacial bonding between the multiwall nanotubes and polymer matrix.
2,431 citations
••
TL;DR: In this article, a higher-order shear deformation theory for elastic shells was developed for shells laminated of orthotropic layers, which is a modification of the Sanders' theory and accounts for parabolic distribution of the transverse shear strains through thickness of the shell and tangential stress-free boundary conditions on the boundary surfaces.
1,009 citations
••
TL;DR: In this article, the nonlinear bending of simply supported, functionally graded nanocomposite plates reinforced by single-walled carbon nanotubes (SWCNTs) subjected to a transverse uniform or sinusoidal load in thermal environments is investigated.
958 citations