Radial vibration analysis of pseudoelastic shape memory alloy thin cylindrical shells by the differential quadrature method

Forouzesh, Farinaz; Jafari, Ali

doi:10.1016/j.tws.2015.03.022

Cited by 20 publications

(4 citation statements)

References 19 publications

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“…They [16] also employed this method into FGM cylindrical shell with rings support under symmetric uniform interior pressure distribution and ten different boundary conditions were discussed to study the natural characteristics. Based on Donnell-type classical shell theory, Forouzesh and Jafari [17] used The Hamilton's principle, differential quadrature, and Newmark method to solve the radial vibration problem of simply supported pseudoelastic shape memory alloy cylindrical shells under time-dependant internal pressure.…”

Section: Instructionmentioning

confidence: 99%

Nonlinear Dynamic Behavior Analysis of Pressure Thin-Wall Pipe Segment with Supported Clearance at Both Ends

Tang

Wen

2016

Mathematical Problems in Engineering

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An analysis of nonlinear behaviors of pressure thin-wall pipe segment with supported clearance at both ends was presented in this paper. The model of pressure thin-wall pipe segment with supported clearance was established by assuming the restraint condition as the work of springs in the deformation directions. Based on Sanders shell theory, Galerkin method was utilized to discretize the energy equations, external excitation, and nonlinear restraint forces. And the nonlinear governing equations of motion were derived by using Lagrange equation. The displacements in three directions were represented by the characteristic orthogonal polynomial series and trigonometric functions. The effects of supporting stiffness and supported clearance on dynamic behavior of pipe wall were discussed. The results show that the existence of supported clearance may lead to the changing of stiffness of the pipe vibration system and the dynamic behaviors of the pipe system show nonlinearity and become more complex; for example, the amplitude-frequency curve of the foundation frequency showed hard nonlinear phenomenon. The chaos and bifurcation may emerge at some region of the values of stiffness and clearance, which means that the responses of the pressure thin-wall pipe segment would be more complex, including periodic motion, times periodic motion, and quasiperiodic or chaotic motions.

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Section: Instructionmentioning

confidence: 99%

Nonlinear Dynamic Behavior Analysis of Pressure Thin-Wall Pipe Segment with Supported Clearance at Both Ends

Tang

Wen

2016

Mathematical Problems in Engineering

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“…Tong et al [11] devised a semi-analytical approach to determine the vibration response of laminated shells at any angle by applying the DQM and the state space technique (SST). Jafari et al [12,13] investigated the vibration characteristics of composite cylindrical shells with clamped-free boundary conditions based on the FSDT. Based on the Jacobi-Ritz method, Li and his team [14][15][16] extended a unified analytical formulation to study the vibration characteristics of composite rotary structures, in which the effectiveness and accuracy of the method were proven by experiments and the literature.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Time Domain Vibro-Acoustic Response of Conical Shells Using Jacobi–Ritz Boundary Element Method

Gao,

Zheng,

Pang

et al. 2024

Acoustics

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Considering the lack of studies on the transient vibro-acoustic properties of conical shell structures, a Jacobi–Ritz boundary element method for forced vibro-acoustic behaviors of structure is proposed based on the Newmark-β integral method and the Kirchhoff time domain boundary integral equation. Based on the idea of the differential element method and the first-order shear deformation theory (FSDT), the vibro-acoustic model of conical shells is established. The axial and circumferential displacement tolerance functions are expressed using Jacobi polynomials and the Fourier series. The time domain response of the forced vibration of conical shells is calculated based on the Rayleigh–Ritz method and Newmark-β integral method. On this basis, the time domain response of radiated noise is solved based on the Kirchhoff integral equation, and the acoustic radiation characteristics of conical shells from forced vibration are analyzed. Compared with the coupled FEM/BEM method, the numerical results demonstrate the high accuracy and great reliability of this method. Furthermore, the semi-vertex angle, load characteristics, and boundary conditions related to the vibro-acoustic response of conical shells are examined.

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“…Forouzesh and Jafari 18 investigated the forced vibration of a cylindrical shell made of SMA. They studied the effects of internal pressure on its strength and phase change.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of an annular circular plate made of shape memory alloy using differential quadrature method

Barati

Jafari

Haghighi

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This study investigates the dynamic response of an annular circular plate with clamped edges under harmonic load. The circular plate is analyzed based on the first-order shear deformation theory (FSDT). The Boyd-Lagoudas constitutive model is used to simulate the pseudoelastic behavior, and Hamilton’s principle is used to obtain the equations of motion. Also, differential quadrature and Newmark methods are utilized to obtain the time and frequency responses of the plate. The phase transformation effects are studied on the time and frequency responses of the plate. Then, the accuracy of these results is checked with the available literature and ABAQUS software. Results indicate that the alloy phase transformation leads to reduced material strength and the nonlinear behavior of the alloy.

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Radial vibration analysis of pseudoelastic shape memory alloy thin cylindrical shells by the differential quadrature method

Cited by 20 publications

References 19 publications

Nonlinear Dynamic Behavior Analysis of Pressure Thin-Wall Pipe Segment with Supported Clearance at Both Ends

Nonlinear Dynamic Behavior Analysis of Pressure Thin-Wall Pipe Segment with Supported Clearance at Both Ends

Prediction of Time Domain Vibro-Acoustic Response of Conical Shells Using Jacobi–Ritz Boundary Element Method

Dynamic response of an annular circular plate made of shape memory alloy using differential quadrature method

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