Dynamics of graphene origami-enabled auxetic metamaterial beams via various shear deformation theories

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 203, P. 104123 - 104123

Published: July 27, 2024

Although auxetic metamaterials exhibit unique and unusual mechanical properties, such as a negative Poisson's ratio, their mechanics remains poorly understood. In this study, we model graded beam fabricated from graphene origami-enabled investigate its dynamics the perspective of different shear deformation theories. The metamaterial is composed multiple layers metamaterials, where content origami varies through layered thickness; both property other properties are varied in manner, which effectively be approximated via micromechanical models. Euler-Bernoulli, third-order, higher-order deformable refined theories adopted to continuous system. Following this, governing motion equations derived using Hamiltonian principle then numerically solved weighted residual method. obtained results provide comprehensive understanding how distribution pattern, folding degree, utilisation influence dynamic behaviour beam.

Language: Английский

---

Dynamical modeling and response analysis of multi-folded beam structures with nonlinear joints

Nonlinear Dynamics, Journal Year: 2025, Volume and Issue: unknown

Published: Feb. 17, 2025

Language: Английский

---

Dynamics of One-Directional Functionally Graded Plates with Different Sizes of Microstructure: Theoretical Tolerance Modelling

Materials, Journal Year: 2025, Volume and Issue: 18(2), P. 328 - 328

Published: Jan. 13, 2025

The dynamics of thin elastic one-directional non-periodic plates are considered in this paper. structure these is, at a macro level, functionally graded along the x1-axis, but micro level it is (tolerance-periodic). In plates, effect microstructure size on their behaviour can play crucial role. tolerance modelling method allows for to be taken into account. This paper mainly proposes that leads model equations two different models with kinds tolerance-periodic microstructures, i.e., (a) those having an order plate thickness, d~l, and (b) thickness smaller than size, d << l. Derived characterised by slowly varying coefficients. A subset coefficients contingent size. presented herein determine formulas both fundamental lower-order vibration frequencies higher-order frequencies, which related microstructure. These such implemented rudimentary example free vibrations. Using Ritz method, obtained.

Language: Английский

---

Non-linear mechanics of geometrically imperfect graphene origami-enabled auxetic metamaterial third-order beam structures

International Journal of Non-Linear Mechanics, Journal Year: 2025, Volume and Issue: unknown, P. 105047 - 105047

Published: Feb. 1, 2025

Language: Английский

---

Dynamic stability of the Mindlin-Reissner plate using a time-modulated axial force

Mechanics Based Design of Structures and Machines, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 18

Published: June 14, 2024

A time-periodic axial force acting on a continuous structure can be destabilized by parametric excitation. Moreover, it is capable of increasing the equivalent damping and shortening transient vibrations. In this work, concept extended, dynamic stability Mindlin-Reissner plate analyzed. The FE formulation for four-node element derived employing variational approach including action an force. system evaluated both numerically analytically, using Floquet theory first-order approximation based averaging method, respectively. influence length, thickness, aspect ratio highlighted. It demonstrated that instability tongue at combination resonance frequency summation type shifted toward higher amplitudes width decreasing length. Alternatively, in vicinity difference shows antiresonance which maximized exactly opposite tuning design. This guideline important when design under harmonic considered.

Language: Английский

---

Experimental and numerical analysis of nonlinear velocity response for a cantilever

International Journal of Non-Linear Mechanics, Journal Year: 2025, Volume and Issue: unknown, P. 105067 - 105067

Published: Feb. 1, 2025

Language: Английский

---

Enhanced strategies for hybrid honeycomb structures: improving bending properties through geometric modifications of cell ratios and foam integration

Applied Physics A, Journal Year: 2025, Volume and Issue: 131(5)

Published: April 16, 2025

Language: Английский

---

Numerical investigation on effect of different parameters on nonlinear vibration response of fully geometrically exact Timoshenko beams

Applied Physics A, Journal Year: 2024, Volume and Issue: 130(9)

Published: Aug. 9, 2024

Language: Английский

---

An isogemetric analysis formulation for the dynamics of geometrically exact viscoelastic beams and beam systems with arbitrarily curved initial geometry

Computer Methods in Applied Mechanics and Engineering, Journal Year: 2024, Volume and Issue: 431, P. 117261 - 117261

Published: Aug. 2, 2024

We present a novel formulation for the dynamics of geometrically exact Timoshenko beams and beam structures made viscoelastic material featuring complex, arbitrarily curved initial geometries. An SO(3)-consistent second-order accurate time integration scheme accelerations, velocities rate-dependent strain measures is adopted. To achieve high efficiency geometrical flexibility, spatial discretization carried out with isogemetric collocation (IGA-C) method, which permits bypassing elements keeping all advantages isogeometric analysis (IGA) in terms high-order space accuracy geometry representation. Moreover, primal guarantees minimal kinematic unknowns. The generalized Maxwell model deployed directly to one-dimensional stress measures. This allows express internal variables same unknowns, as case linear elastic rate-independent materials complexities introduced by material. As result, existing linearizations governing equations strong form (and associated updating formulas) can straightforwardly be used. Through series numerical tests, attributes potentialities proposed are demonstrated. In particular, we show capability accurately simulate systems complex topology, opening interesting perspectives inverse design programmable mechanical meta-materials objects.

Language: Английский

---

Non-Linear Elastic Beam Deformations with Four-Parameter Timoshenko Beam Element Considering Through-the-Thickness Stretch Parameter and Reduced Integration

Symmetry, Journal Year: 2024, Volume and Issue: 16(8), P. 984 - 984

Published: Aug. 2, 2024

In this work, non-linear elastic deformations of beams are investigated. The kinematics the beam is derived based on an element with four-parameter containing a through-the-thickness stretch parameter to avoid Poisson locking. Moreover, Kirchhoff-Saint Venant model used derive kinetic quantities. Next, FE formula in Total Lagrangian form obtained, and three-node two-node reduced integration employed shear Finally, evaluate performance formulations, some examples provided. results prove that current formulation very good agreement those available literature. More importantly, capable predicting experimental high accuracy.

Language: Английский

---