Nonlinear radial breathing vibrations of CFRP laminated cylindrical shell with non-normal boundary conditions subjected to axial pressure and radial line load at two ends

Zhang, W.; Yang, S.W.; Mao, Jiajia

doi:10.1016/j.compstruct.2018.01.091

Cited by 43 publications

(11 citation statements)

References 50 publications

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“…The solution to the problem is to find an expression for the potential energy of the system in terms of A the constant of the equations that describe the beam strain, differentiate this equation concerning A and equal to zero, according to the boundary conditions ( Table 2 ) [ 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 ].…”

Section: Literature Reviewmentioning

confidence: 99%

Bioengineering Tools Applied to Dentistry: Validation Methods for In Vitro and In Silico Analysis

et al. 2022

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This study aimed to evaluate the use of bioengineering tools, finite element analysis, strain gauge analysis, photoelastic analysis, and digital image correlation, in computational studies with greater validity and reproducibility. A bibliographic search was performed in the main health databases PUBMED and Scholar Google, in which different studies, among them, laboratory studies, case reports, systematic reviews, and literature reviews, which were developed in living individuals, were included. Therefore, articles that did not deal with the use of finite element analysis, strain gauge analysis, photoelastic analysis, and digital image correlation were excluded, as well as their use in computational studies with greater validity and reproducibility. According to the methodological analysis, it is observed that the average publication of articles in the Pubmed database was 2.03 and with a standard deviation of 1.89. While in Google Scholar, the average was 0.78 and the standard deviation was 0.90. Thus, it is possible to verify that there was a significant variation in the number of articles in the two databases. Modern dentistry finds in finite element analysis, strain gauge, photoelastic and digital image correlation a way to analyze the biomechanical behavior in dental materials to obtain results that assist to obtain rehabilitations with favorable prognosis and patient satisfaction.

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Section: Literature Reviewmentioning

confidence: 99%

Bioengineering Tools Applied to Dentistry: Validation Methods for In Vitro and In Silico Analysis

et al. 2022

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“…Based on the von Kármán geometric nonlinear strain-displacement relationship and the first-order shear deformation theory, Zhang et al [13] studied the nonlinear radial breathing vibration of a carbon fiber reinforced polymer laminated cylindrical shell with different temperatures under both axial pressure and radial line load. Yang et al [14] studied the nonlinear vibration of a carbon fiber reinforced polymer laminated cylindrical shell with 1:2 internal resonance, primary parametric resonance and 1/2 subharmonic resonance.…”

Section: Introductionmentioning

confidence: 99%

Internal resonance of hyperelastic thin-walled cylindrical shells under harmonic axial excitation and time-varying temperature field

Yuan

Zhang

et al. 2022

Thin-Walled Structures

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“…Zhang et al (2018b) and Yang et al (2019) explored and presented the nonlinear radial breathing oscillations of a carbon fiber reinforced polymer (CFRP) in a laminated cylindrical shell under the axial excitation and radial line load with different temperature through 1:2 internal resonances, primary parametric resonance, and 1/2 subharmonic resonances. The bifurcation diagrams, maximum Lyapunov exponent diagrams, phase portraits, time history diagrams, three-dimensional phase portraits, and Poincare maps are all obtained by numerical calculations.…”

Section: Introductionmentioning

confidence: 99%

“…At that point, Zhang et al (2018a) focused on the chaotic dynamics and the resonant responses of a composite laminated circular cylindrical shell with radially pre-stretched layers at both ends and clamped along a generatrix inside the primary parametric, 1/2 subharmonic, and 1:1 internal resonances via perturbation methodology. Zhang et al (2018b) and Yang et al (2019) explored and presented the nonlinear radial breathing oscillations of a carbon fiber reinforced polymer (CFRP) in a laminated cylindrical shell under the axial excitation and radial line load with different temperature through 1:2 internal resonances, primary parametric resonance, and 1/2 subharmonic resonances. The bifurcation diagrams, maximum Lyapunov exponent diagrams, phase portraits, time history diagrams, three-dimensional phase portraits, and Poincare maps are all obtained by numerical calculations.…”

Section: Introductionmentioning

confidence: 99%

A beam–ring circular truss antenna restrained by means of the negative speed feedback procedure

EL-Sayed

Bauomy

2021

Journal of Vibration and Control

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The present article contemplates the nonlinear powerful exhibitions of affecting dynamic vibration controller over a beam–ring structure for demonstrating the circular truss antenna exposed to mixed excitations. The dynamic controller comprises the included negative speed input added to the framework’s idea. By using the statue, Hamilton, the nonlinear fractional differential administering conditions of movement and the limit conditions have inferred for the shaft ring structure. Through Galerkin’s method, the nonlinear partial differential equations referred to overseeing the movement of the shaft ring structure have diminished to a coupled normal differential equations extending the nonlinearities square terms. Multiple time scales have helped in acquiring (getting) the four-dimensional averaged equations for measuring the primary and 1:2 internal resonances. This article’s controlled assessment is useful for controlling the nonlinear vibrations of the considered framework. Likewise, the controller dispenses with the framework’s oscillations in a brief time frame. The demonstrations of the numerous coefficients and the framework directed at the examined resonance case have been determined. Using MATLAB 7.0 programs has aided in completing the simulation results. At last, the numerical outcomes displayed an admirable concurrence with the methodical ones. A comparison with recently available articles has also indicated good results through using the presented controller.

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Nonlinear radial breathing vibrations of CFRP laminated cylindrical shell with non-normal boundary conditions subjected to axial pressure and radial line load at two ends

Cited by 43 publications

References 50 publications

Bioengineering Tools Applied to Dentistry: Validation Methods for In Vitro and In Silico Analysis

Bioengineering Tools Applied to Dentistry: Validation Methods for In Vitro and In Silico Analysis

Internal resonance of hyperelastic thin-walled cylindrical shells under harmonic axial excitation and time-varying temperature field

A beam–ring circular truss antenna restrained by means of the negative speed feedback procedure

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