A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: clamped rectangular incompressible elastic plates

FF Wang, HH Dai, I Giorgio - Mathematics and Mechanics of …, 2022 - journals.sagepub.com
In this paper, we derive the weak form for clamped plates composed of incompressible neo-
Hookean material from the uniformly valid asymptotic plate theory. By using the finite …

Free vibration analysis of viscoelastic plates with simultaneous calculation of natural frequency and viscous damping

N Jafari, M Azhari - Mathematics and Computers in Simulation, 2021 - Elsevier
This paper presents a new solution for the free vibration analysis of moderately thick
viscoelastic plates with different shapes, based on free vibration analysis of elastic plates …

Nonlinear periodic response of viscoelastic laminated composite plates using shooting technique

D Kumar, BP Patel - International Journal of Non-Linear Mechanics, 2024 - Elsevier
The nonlinear periodic response of viscoelastic laminated composite plates subjected to
harmonic excitation is carried out in time domain using the generalized Maxwell model in …

Time-dependent p-delta analysis of Timoshenko viscoelastic beams and Mindlin viscoelastic plates with different shapes

N Jafari - Structures, 2022 - Elsevier
This research introduces a closed-form solution for the time-dependent p-delta analysis of a
viscoelastic plate based on the linear static analysis of an elastic plate for the first time, by …

Time-dependent static analysis of viscoelastic Mindlin plates by defining a time function

N Jafari, M Azhari - Mechanics of Time-Dependent Materials, 2021 - Springer
This paper presents a new method for bending analysis of moderately thick viscoelastic
plates using elasticity responses at asymptotic times. The displacement vector is …

Geometrically nonlinear analysis of time-dependent composite plates using time function optimization

N Jafari, M Azhari, B Boroomand - International Journal of Non-Linear …, 2019 - Elsevier
In this paper, a novel approximation method is presented for the large deformation analysis
of moderately thick fiber-reinforced composite plates based on elasticity responses at …

Effect of in-plane compression on the non-harmonic resonance of moderately thick time-dependent plates

A Hatefniya, N Jafari, M Azhari - Thin-Walled Structures, 2023 - Elsevier
This study investigates the nonlinear p-delta analysis and introduces a viscoelastic plate
non-harmonic resonance in which the critical displacement will be several times more than …

Analysis of Geometric Nonlinear Problems Using Hermite Interpolation Meshless Method

X Ma, L Sun, B Li, M Yang, Y Zhang, X Cui… - Benkai and Yang, Min … - papers.ssrn.com
Geometric nonlinear problems are common in engineering, and it is very difficult to obtain an
analytical solution. Furthermore, mesh-based numerical methods suffer from high …