A FSDT meshfree method for free vibration analysis of arbitrary laminated composite shells and spatial structures

Chen, W.; Luo, W.M.; Chen, S.Y.; Peng, Lixin

doi:10.1016/j.compstruct.2021.114763

Cited by 30 publications

(5 citation statements)

References 104 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Miao et al [21] investigated the effect of dimensional parameters and volume fraction of the material on the free vibration characteristics of dual-functional graded nano-composite laminated shells. Chen et al [22] studied the free vibration behavior of laminated composite shells with different shapes based on the firstorder shear deformation theory (FSDT). Li et al [23] investigated the effect of the power law index of the material, pore volume fraction, and temperature variation on the free vibration, steady state, and transient response of functionally graded porous-stepped cylindrical shells based on higher-order shear deformation theory (HSDT).…”

Section: Of 24mentioning

confidence: 99%

See 1 more Smart Citation

Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory

Deng

et al. 2023

Applied Sciences

View full text Add to dashboard Cite

The cylindrical shell made of metal rubber has a strong ability to reduce and absorb vibration, which widens its application in the industrial field. Therefore, it is of great significance to study the vibration characteristics of metal-rubber cylindrical shells (MRCSs). However, there is relatively little research on this aspect. Based on this, the dynamic properties of MRCS are investigated in this paper based on viscoelastic theory, the Rayleigh–Ritz method, and the Gram–Schmidt orthogonal polynomials. The correctness of the proposed model was verified by comparison with the literature and experimental verification. The results show that the preloading state and boundary conditions have significant effects on the natural frequency and modal loss factor of MRCS. The effect of the Pasternak elastic foundation on the natural frequency and modal loss factor of MRCS varies with the change of the axial half wave number m. The effect of the Pasternak elastic foundation on higher-order vibrations is similar to that of the artificial spring technique.

show abstract

Section: Of 24mentioning

confidence: 99%

“…The first term of the Gram-Schmidt orthogonal polynomials is determined by the boundary function. The boundary functions expressing the different types of boundary conditions are as follows [22,32,33]:…”

Section: The Motion Equation Of the Shellmentioning

confidence: 99%

Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory

Deng

et al. 2023

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…The typical locking treatment approaches, which may not be restricted to solid-shell elements, include assumed natural strains (ANS), 18,19 enhanced assumed strain (EAS), 20 discrete strain gap (DSG), 21 B-method, [22][23][24][25] mixed formulations, 22,[26][27][28] selective/reduced integration, 26,[29][30][31] and projection techniques based on the moving least square (MLS). 32 Extensive literatures have reported that shells are studied by kinds of numerical methods: the finite element method (FEM), [33][34][35] the meshfree method, [36][37][38][39] and analytical 40,41 or semianalytical 42,43 methods and so forth. Apart from these, the approach of isogeometric analysis (IGA) introduced by Hughes et al 44 has also been frequently adopted in the analysis of laminated shells.…”

Section: Introductionmentioning

confidence: 99%

“…Extensive literatures have reported that shells are studied by kinds of numerical methods: the finite element method (FEM), 33–35 the meshfree method, 36–39 and analytical 40,41 or semianalytical 42,43 methods and so forth. Apart from these, the approach of isogeometric analysis (IGA) introduced by Hughes et al 44 has also been frequently adopted in the analysis of laminated shells 9,15,45–47 .…”

Section: Introductionmentioning

confidence: 99%

High‐fidelity tensor‐decomposition based matrix formation for isogeometric buckling analysis of laminated shells with solid‐shell formulation

Fan

Huang

Zeng

et al. 2022

Numerical Meth Engineering

View full text Add to dashboard Cite

The computation cost of matrix formation in isogeometric analysis can be drastically reduced by employing tensor decomposition, but the performance like accuracy and robustness still depends on the approach used to realize the low‐rank approximation for the nonpolynomial integral kernels. In the buckling analysis of laminated shells with solid‐shell model, the integral kernels are not smooth in the thickness direction due to their material and stress distribution and have a high complexity because the curvilinear coordinate systems are involved in the representation of anisotropic constitutive relations, which makes it more difficult to guarantee the decomposition accuracy. This paper proposes a robust high‐fidelity tensor‐decomposition based matrix formation method for stiffness matrix and geometric stiffness matrix of the isogeometric buckling analysis problem. The proposed method avoids using a spline approximation and employs the hierarchical block‐wise decomposition approach (HBD) to obtain a determinate decomposition result, which saves more time without loss of accuracy and produces less canonical ranks with a reliable procedure. Besides, the matrix calculation is partly independent of the number of layers, showing a higher efficiency when the number of layers is larger. Finally, several experiments with various Gaussian curvatures are implemented to validate the proposed method.

show abstract

“…The finite element method is one of the most influential and efficient tools used for the numerical solution of a wide range of problems in structural mechanics [17][18][19][20][21][22][23][24][25][26][27][28][29]. Besides this, several researchers and engineers examine the dynamic response of structures [30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Also, during the last decades, one of the most trend subjects in the research field is composite and FGP materials.…”

Section: Introductionmentioning

confidence: 99%

Influence of Porosity on the Free Vibration Response of Sandwich Functionally Graded Porous Beams

AL-ITBI

Noori

2022

Journal of Sustainable Construction Materials and Technologies

View full text Add to dashboard Cite

Functionally graded materials are composite materials used to build a variety of structures. These structures are used in ships industries, marine, automotive, high building structures, energy engineering applications, and many more. The porosity made in these materials may negatively affect some behavior aspects like stiffness, and strength, but it may provide superior performance in other fields like vibration reduction, thermal isolation, energy absorption, and others. In this paper, we will discuss the effect of porosity on the natural frequencies for functionally graded porous (FGP) sandwich beams. The mechanical properties of the FGP sandwich beams are changing with the porosity in the thickness direction. The free vibration of the beams is examined with the effect of porosity. The analysis is carried out for four different beam supporting types (hinged – hinged, fixed – fixed, fixed – free, fixed – hinged). Various porosity ratios are considered with a range from (0.1 – 0.9). Forty–four samples are analyzed for each type of core material distribution which is the symmetric material constitutive relationships (SMCR) and uniform core material. The results gained from the analysis show that the porosity constant has a significant effect on the natural frequencies of the FGP sandwich beams.

show abstract

A FSDT meshfree method for free vibration analysis of arbitrary laminated composite shells and spatial structures

Cited by 30 publications

References 104 publications

Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory

Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory

High‐fidelity tensor‐decomposition based matrix formation for isogeometric buckling analysis of laminated shells with solid‐shell formulation

Influence of Porosity on the Free Vibration Response of Sandwich Functionally Graded Porous Beams

Contact Info

Product

Resources

About