Nonlinear dynamic responses of sandwich functionally graded porous cylindrical shells embedded in elastic media under 1:1 internal resonance

Liu, Yun Fei; Qin, Zhaoye; Chu, Fulei

doi:10.1007/s10483-021-2740-7

Cited by 51 publications

(4 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Naveenkumar et al [ 16 ] studied the analytical formulations and solutions for the flexural analysis of FGM sandwich plates with the available high-order fine-grained computational models and presented numerous numerical results for in-plane, transverse displacements, and stresses. Liu et al [ 17 ] studied the nonlinear dynamic response of porous FG sandwich cylindrical shells embedded in elastic media using modified Donnell nonlinear shell theory and Hamilton’s principle.…”

Section: Introductionmentioning

confidence: 99%

Bending Analysis of Asymmetric Functionally Graded Material Sandwich Plates in Thermal Environments

Han

Huang

et al. 2023

Materials

View full text Add to dashboard Cite

This paper investigates the bending of asymmetric functionally graded material (FGM) sandwich plates subjected to thermo-mechanical loads in thermal environments. In this paper, a thermo-mechanical analysis model for asymmetric FGM sandwich plates is proposed, which contains only four control equations and four unknown variables. The governing equation is obtained through refined shear theory and the principle of virtual work, and the Navier method is used to solve it. Numerical examples of simply supported FGM sandwich plates under thermo-mechanical loads are given to verify the accuracy of the model. Finally, detailed studies are conducted on the bending of asymmetric FGM sandwich plates under thermo-mechanical loads, exploring the effects of various parameter changes on their bending behavior, and providing strong guidance for the application of asymmetric FGM sandwich plates in industrial production practice.

show abstract

Section: Introductionmentioning

confidence: 99%

Bending Analysis of Asymmetric Functionally Graded Material Sandwich Plates in Thermal Environments

Han

Huang

et al. 2023

Materials

View full text Add to dashboard Cite

show abstract

“…Naveenkumar et al [ 15 ] studied the analytical formulations and solutions for the flexural analysis of functionally graded material sandwich plates with available high-order fine-grained computational models and presented numerous numerical results for in-plane, transverse displacements, and stresses. Liu et al [ 16 ] studied the nonlinear dynamic response of porous functionally graded sandwich cylindrical shells embedded in elastic media by using modified Donnell nonlinear shell theory and Hamilton’s principle. Hirane et al [ 17 ] proposed a fixed C 0 high-order layered finite element model to analyze the static and free vibration of FGM sandwich plates under different boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Thermal Mechanical Bending Response of Symmetrical Functionally Graded Material Plates

Han

Huang

et al. 2023

Materials

View full text Add to dashboard Cite

This paper investigates the thermal mechanical bending response of symmetric functionally graded material (FGM) plates. This article proposes a thermodynamic analysis model of both the FGM plate and FGM sandwich plate, and the model only involves four control equations and four unknown variables. The control equation is based on the refined shear deformation theory and the principle of minimum potential energy. The Navier method is used to solve the control equation. According to the method, numerical examples are provided for the thermo-mechanical bending of the symmetric FGM plate and FGM sandwich plate under a simply supported boundary condition, and the accuracy of the model is verified. Finally, parameter analysis is conducted to investigate the effects of the volume fraction index, side-to-thickness ratio, thermal load, and changes in core thickness on the thermal mechanical bending behavior of the symmetric FGM plate and FGM sandwich plate in detail. It was found that the deflection of the FGM plate is greater than that of the FGM sandwich plate, while the normal stress of the FGM plate is smaller than that of the FGM sandwich plate. Moreover, the FGM plate and FGM sandwich plate are sensitive to nonlinear temperature changes.

show abstract

“…When mechanical systems such as rotor systems generate vibrations, the resonances of the structures such as rotating shells can be caused by appropriate geometrical parameters or rotation effect, and thus the large amplitude vibrations of these structures may occur under the transverse loads [13][14][15] . It affects the normal operation of the rotating structures seriously.…”

Section: Introductionmentioning

confidence: 99%

Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields

Liu

Wang

et al. 2022

Appl. Math. Mech.-Engl. Ed.

Self Cite

View full text Add to dashboard Cite

Composite cylindrical shells, as key components, are widely employed in large rotating machines. However, due to the frequency bifurcations and dense frequency spectra caused by rotation, the nonlinear vibration usually has the behavior of complex multiple internal resonances. In addition, the varying temperature fields make the responses of the system further difficult to obtain. Therefore, the multiple internal resonances of composite cylindrical shells with porosities induced by rotation with varying temperature fields are studied in this paper. Three different types of the temperature fields, the Coriolis forces, and the centrifugal force are considered here. The Hamilton principle and the modified Donnell nonlinear shell theory are used to obtain the equilibrium equations of the system, which are transformed into the ordinary differential equations (ODEs) by the multi-mode Galerkin technique. Thereafter, the pseudo-arclength continuation method, which can identify the regions of instability, is introduced to obtain the numerical results. The detailed parametric analysis of the rotating composite shells is performed. Multiple internal resonances caused by the interaction between backward and forward wave modes and the energy transfer phenomenon are detected. Besides, the nonlinear amplitude-frequency response curves are different under different temperature fields.

show abstract

Nonlinear dynamic responses of sandwich functionally graded porous cylindrical shells embedded in elastic media under 1:1 internal resonance

Cited by 51 publications

References 29 publications

Bending Analysis of Asymmetric Functionally Graded Material Sandwich Plates in Thermal Environments

Bending Analysis of Asymmetric Functionally Graded Material Sandwich Plates in Thermal Environments

Thermal Mechanical Bending Response of Symmetrical Functionally Graded Material Plates

Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields

Contact Info

Product

Resources

About