Three-dimensional free vibration analysis of hyperelastic structures under bending load using the VDQ-transformed method
type: Item
instance of: scholarly article
title: Three-dimensional free vibration analysis of hyperelastic structures under bending load using the VDQ-transformed method
zbMATH Open document ID: 1537.74081
author: R. Ansari
author: Ramtin Hassani
author: Yousef Gholami
author: H. Rouhi
published in: International Journal of Structural Stability and Dynamics
publication date: 2024-05-14T00:00:00Z
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 7847753
zbMATH Keywords: three-dimensional hyperelasticity
zbMATH Keywords: compressible and nearly-incompressible
zbMATH Keywords: variational differential quadrature
zbMATH Keywords: mapping of position field
zbMATH Keywords: free vibration
zbMATH Keywords: bending
MaRDI profile type: Publication
cites work: Nonlinear large-amplitude oscillations of PFG composite rectangular microplates based upon the modified strain gradient elasticity theory
cites work: Geometrically nonlinear study of functionally graded saturated porous plates based on refined shear deformation plate theory and Biot's theory
cites work: Q3126791
cites work: A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a posteriori error estimate
cites work: A novel mixed finite element for finite anisotropic elasticity: the SKA-element simplified kinematics for anisotropy
cites work: Compatible-strain mixed finite element methods for incompressible nonlinear elasticity
cites work: Numerical modelling of compressible hyperelasticity via smoothed state-based peridynamics
cites work: From statistical mechanics to nonlocal theory
cites work: Hyperelastic constitutive modeling under finite strain
cites work: Nonlinear frequency response analysis of structural vibrations
cites work: Nonlinear free vibration of hyperelastic beams based on neo-Hookean model
cites work: Variational modeling of plane-strain hyperelastic thin beams with thickness-stretching effect
cites work: Mathematical modeling of anisotropic hyperelastic cylindrical thick shells by incorporating thickness deformation and compressibility with application to arterial walls
cites work: A VDQ-based multifield approach to the 2D compressible nonlinear elasticity
cites work: Nonlinear bending analysis of hyperelastic Mindlin plates: a numerical approach
cites work: Variational differential quadrature: a technique to simplify numerical analysis of structures
DOI: 10.1142/S0219455423501195
description: scientific article; zbMATH DE number 7847753