Nonlinear dynamic analysis of thermally deformed beams subjected to uniform loading resting on nonlinear viscoelastic foundation

Wang, Yan; Yang, Jinhui; Moradi, Zohre; Safa, Maryam; Khadimallah, Mohamed Amine

doi:10.1016/j.euromechsol.2022.104638

Cited by 21 publications

(4 citation statements)

References 71 publications

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“…Aspect Ratio (AS) 4 0 0 90 0 0 0 /90 0 /0 0 0 0 90 0 0 0 /90 0 /0 0 Present HYSDT 4.912 0.851 9.951 1.711 0.369 3.468 TSDT (8) 4.160 0.734 9.045 1.460 0.340 3.022 HSDT (7) 5.055 0.849 10.562 1.730 0.369 3.533 FSDT (5) 0.226 0.261 0.462 0.208 0.217 0.437 ETB (3) 0.202 0.203 0.429 0.202 0.203 0.429 Table 2. Non-Dimensional Transverse Deflection at (x = L, z = 0.0) for Single Layer, Three Layers and Four Layers of Laminated Simply Supported Beam Subjected to Sinusoidally Distributed Load for Aspect Ratio (AS) 10 and 20.…”

Section: Theory Aspect Ratio (As)mentioning

confidence: 99%

“…Aspect Ratio (AS) 20 0 0 90 0 0 0 /90 0 /0 0 0 0 90 0 0 0 /90 0 /0 0 Present HYSDT 0.465 0.230 0.965 0.269 0.210 0.562 TSDT (8) 0.420 0.225 0.869 0.258 0.210 0.540 HSDT (7) 4.466 0.230 0.960 0.269 0208 0.563 FSDT (5) 0.203 0.205 0.430 0.202 0.210 0.429 ETB (3) 0.202 0.203 0.429 0.202 0.203 0.429…”

Section: Theory Aspect Ratio (As) 10unclassified

“…By taking into account (3) the dual mesh control domain methods were developed for solving deformation with approximate result. The nonlinear vibration of viscoelastic circular microplate based on softening and hardening nonlinear viscoelastic foundation under thermal loading (4) and (5) . The powerful analysis of sandwich nanoplates with a permeable practically evaluated center utilizing isogeometric examine (6) .…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Analysis of Transverse Displacement of Laminated Beam with Thermal Load

Pakhale¹,

Sontakke²,

Gandhe³

et al. 2022

IJST

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Objectives: This research emphasis on developing solution of transverse displacement for simply supported beam subjected to thermal load using hyperbolic shear deformation theory (HYSDT). Moreover, the significant transverse displacement analysis of single, three-layer orthotropic symmetric laminated beams exposed to sinusoidal thermal loads was taken under consideration with the aim to achieve exact solution for the above condition. Methodology: In this solution, we have used hyperbolic function in reference to thickness co-ordinate by considering shear deformation theory. The governing equations, boundary conditions were developed using principle of virtual work and thus exhibiting solution by Navier's theory. Findin g: It is observed that by considering single, triple layer transverse displacement for simply supported beam subjected to thermal loading as well as applying hyperbolic shear deformation theory (HYSDT) has predicted transverse displacement of 0.269, 0.210 and 0.562 for ply angles such as 0 0 , 90 0 , 0 0 /90 0 /0 0 respectively with aspect ratio 20. In accordance with this we observed uniformity among the predicted values. Novelty: In this research we have introduced an advance function such as hyperbolic shear deformation theories (HYSDT) and transverse displacement for variable lengths and thickness of the beam was calculated by using MATLAB coding. Thus, achieving precise solution.

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Section: Theory Aspect Ratio (As)mentioning

confidence: 99%

Section: Theory Aspect Ratio (As) 10unclassified

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical Analysis of Transverse Displacement of Laminated Beam with Thermal Load

Pakhale¹,

Sontakke²,

Gandhe³

et al. 2022

IJST

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show abstract

“…A closing crack is an immediate change in the stiffness structure. This property leads to the nonlinear dynamic behaviour of mechanical systems and nonlinear effects such as the occurrence of subharmonic and superharmonic resonances and the nonlinearity of the vibration response (which includes displacement, velocity, acceleration and deformation) and the main resonance [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration Analysis of Beam and Plate with Closed Crack: A Review

Tewelde

Krawczuk

2022

Acta Mechanica Et Automatica

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The effect of nonlinearity is high sensitivity in damage detection, especially for closed cracks and delamination. This review illustrates the results of several researchers dealing with nonlinear effects caused by the closure of cracks in the structure, i.e., beam and plate structures. Early detection of damage is an important aspect for the structure and, therefore, continuous progress is being made in developing new and effective methods that use nonlinear effects for early detection of damage and barely visible cracks, i.e., closed cracks and delamination, as well as for the determination of crack size and location. After analysing various methods, the merits, drawbacks and prospects of a number of nonlinear vibration methods for structural damage detection are discussed, and recommendations are made for future researchers.

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Application of novel hybrid machine learning approach for estimation of ultimate bond strength between ultra-high performance concrete and reinforced bar

You

Yan

Al-Masoudy

et al. 2023

Advances in Engineering Software

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Nonlinear dynamic analysis of thermally deformed beams subjected to uniform loading resting on nonlinear viscoelastic foundation

Cited by 21 publications

References 71 publications

Mathematical Analysis of Transverse Displacement of Laminated Beam with Thermal Load

Mathematical Analysis of Transverse Displacement of Laminated Beam with Thermal Load

Nonlinear Vibration Analysis of Beam and Plate with Closed Crack: A Review

Application of novel hybrid machine learning approach for estimation of ultimate bond strength between ultra-high performance concrete and reinforced bar

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