Kinematically triggered nonlinear vibrations of Hencky-type pantographic sheets
From MaRDI portal
Publication:2107566
DOI10.2140/memocs.2021.9.311zbMath1503.74046OpenAlexW4210834777MaRDI QIDQ2107566
Emilio Turco, Emilio Barchiesi
Publication date: 2 December 2022
Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/memocs.2021.9.311
time integration schemerotational springdiscrete metamaterial modelextensible Euler-Bernoulli beamextensional spring
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical and other methods in solid mechanics (74S99)
Related Items (3)
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables ⋮ The effect of local random defects on the response of pantographic sheets ⋮ Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets
Cites Work
- Geometrically nonlinear higher-gradient elasticity with energetic boundaries
- A second gradient formulation for a 2D fabric sheet with inextensible fibres
- Non-standard coupled extensional and bending bias tests for planar pantographic lattices. I: Numerical simulations
- Non-standard coupled extensional and bending bias tests for planar pantographic lattices. II: Comparison with experimental evidence
- Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
- Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures
- On the derivation of thermomechanical balance equations for continuous systems with a nonmaterial interface
- Two-dimensional strain gradient damage modeling: a variational approach
- Longitudinal and transverse elastic waves in 1D granular materials modeled as micromorphic continua
- Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials
- Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence
- Time evolutional analysis of nonlinear structures
- Dynamics of solids with microperiodic nonconnected fluid inclusions
- Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices
- A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results
- Wave dynamics and composite mechanics for microstructured materials and metamaterials
- Advances in mechanics of microstructured media and structures
- Linear pantographic sheets: existence and uniqueness of weak solutions
- A Ritz approach for the static analysis of planar pantographic structures modeled with nonlinear Euler-Bernoulli beams
- Equilibrium paths of Hencky pantographic beams in a three-point bending problem
- On generalized Cosserat-type theories of plates and shells: a short review and bibliography
- Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements
- Pantographic beam: a complete second gradient 1D-continuum in plane
- A new direct time integration method for the equations of motion in structural dynamics
- Time discontinuous Galerkin methods with energy decaying correction for non-linear elastodynamics
- A high-continuity finite element model for two-dimensional elastic problems
- Three-point bending test of pantographic blocks: numerical and experimental investigation
- Stepwise analysis of pantographic beams subjected to impulsive loads
- Peridynamics review
- Stiffness optimization in nonlinear pantographic structures
- Mechanical metamaterials: a state of the art
- Euromech 563 Cisterna di Latina 17–21 March 2014 Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions
- The Application of Newton’s Method to the Problem of Elastic Stability
- Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis
- A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams
- Cauchy tetrahedron argument applied to higher contact interactions
This page was built for publication: Kinematically triggered nonlinear vibrations of Hencky-type pantographic sheets
