6 results on '"Non-linear dynamic behaviour"'
Search Results
2. Experimental investigation for non-linear vibrations of free supported and cantilever FFF rectangular plates.
- Author
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Abdeddine, E., Majid, A., Beidouri, Z., and Zarbane, Kh.
- Subjects
POLYMERS ,RAW materials ,ALUMINUM ,FUSED deposition modeling ,TENSILE tests - Abstract
Purpose: The aim of this paper is to investigate experimentally the effect of large vibration of a cantilever and a fully free rectangular plate made by a Fused Filament Fabrication process. Furthermore, this investigation attempts to compare our measurements and those obtained in the literature experimentally. Design/methodology/approach: For this purpose, a test rig was designed and manufactured for all experimental trials. The plate was excited randomly and harmonically at large displacement respectively, to obtain the linear and non-linear frequencies parameter. Findings: The non-linear dynamic behaviour of our structure at forced vibration is figured by exciting the plate at large displacement. The dependence of frequency and amplitude vibration are examined for the first, second, and third mode shapes. The non-linear dynamic behaviour of cantilever plates is compared with literature to illustrate the convergence of our results by using our specific mechanical properties, printing parameters, and process. Furthermore, the non-dimensional comparison is shown by 33.38%, 5.83%, and 20.58% for the first, second, and third mode shapes, respectively. Research limitations/implications: Experimental tests will be performed on a 3D-printed metal plate to improve the present work. Practical implications: This work is intended to determine the dynamic proprieties of our parts in order to manufacture a safe and comfort machine. Originality/value: Actually, the dynamic behaviour of our 3D printing plates is compared with the obtained in the case of the isotropic plate for the aim to predict the convergence of both structures. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
3. Effect of static offsets on the nonlinear dynamic mechanical properties of human brain tissue
- Author
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Giorgio Ramorino, Anna Gobetti, Giovanna Cornacchia, and Elena Roca
- Subjects
Loss modulus ,Viscosity ,Non-linear dynamic behaviour ,Dynamic characterization ,Biomedical Engineering ,Storage modulus ,Brain ,Brain tissue ,Stress ,Mechanical ,Cellular environment ,Payne effect ,Superimposed static load ,Elasticity ,Humans ,Kinetics ,Stress, Mechanical ,Nonlinear Dynamics ,Biomaterials ,Mechanics of Materials - Abstract
This study focuses on the variations in the brain tissue dynamic behaviour pointing out new insight into the material nonlinear viscoelasticity. Shear dynamic response curves are obtained in different working conditions in terms of strain sweep and superimposed static compression offsets (SCO) applied in orthogonal direction to the shear. The strain sweep mode is used to study the storage and loss moduli dependence on the amplitude of the applied strain. It is found that the material exhibits linear viscoelastic behaviour up to about 0.1% strain amplitude. Above this critical threshold, the storage modulus G' decreases rapidly with increasing dynamic strain amplitude and this effect is gradually intensified as the SCO are increased. In addition, it is observed that the loss factor (G''/G') increases by increasing the SCO applied to the specimens. The dynamic strain amplitude results of the storage modulus reveal that the elastic component of the brain tissue's stiffness (G') evaluated at low strain strongly increases with increasing static superimposed compression strain while the loss factor in the same strain range appears to be SCO independent. Finally, dynamic stiffness recovery after a large strain deformation is considered. The reduction in low amplitude dynamic modulus and subsequent recovery kinetics due to a perturbation is found to be independent of the level of the SCO. The same assessments were carried out on 5 consecutive strain sweep cycle loading. It has been noticed that at the last cycle, the dissipation peak is reduced, and the non-linearity of the curve begins earlier. This could be explained by the effects of cerebral edema on cells and their surrounding environment.
- Published
- 2022
4. Effect of static offsets on the nonlinear dynamic mechanical properties of human brain tissue.
- Author
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Ramorino, Giorgio, Gobetti, Anna, Cornacchia, Giovanna, and Roca, Elena
- Subjects
STRAINS & stresses (Mechanics) ,DYNAMIC stiffness ,CEREBRAL edema ,CEREBROSPINAL fluid ,TISSUES - Abstract
This study focuses on the variations in the brain tissue dynamic behaviour pointing out new insight into the material nonlinear viscoelasticity. Shear dynamic response curves are obtained in different working conditions in terms of strain sweep and superimposed static compression offsets (SCO) applied in orthogonal direction to the shear. The strain sweep mode is used to study the storage and loss moduli dependence on the amplitude of the applied strain. It is found that the material exhibits linear viscoelastic behaviour up to about 0.1% strain amplitude. Above this critical threshold, the storage modulus G′ decreases rapidly with increasing dynamic strain amplitude and this effect is gradually intensified as the SCO are increased. In addition, it is observed that the loss factor (G"/G′) increases by increasing the SCO applied to the specimens. The dynamic strain amplitude results of the storage modulus reveal that the elastic component of the brain tissue's stiffness (G′) evaluated at low strain strongly increases with increasing static superimposed compression strain while the loss factor in the same strain range appears to be SCO independent. Finally, dynamic stiffness recovery after a large strain deformation is considered. The reduction in low amplitude dynamic modulus and subsequent recovery kinetics due to a perturbation is found to be independent of the level of the SCO. The same assessments were carried out on 5 consecutive strain sweep cycle loading. It has been noticed that at the last cycle, the dissipation peak is reduced, and the non-linearity of the curve begins earlier. This could be explained by the effects of cerebral edema on cells and their surrounding environment. [Display omitted] • Brain tissue shows Payne effect similarly to filled elastomers. • Payne effect could be related to proteins and cerebrospinal fluid rearrangement. • Storage modulus at low strain increases with increasing static offset. • Recovery kinetics could be considered pure-elastic and static offset independent. • On 5 strain sweep cycles the accumulation of intra -extracellular fluids is supposed. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
5. Fast reduced model of non-linear dynamic Euler–Bernoulli beam behaviour
- Author
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Ordaz-Hernandez, Keny and Fischer, Xavier
- Subjects
- *
BERNOULLI numbers , *NUMERICAL functions , *ARTIFICIAL neural networks , *ARTIFICIAL intelligence - Abstract
Abstract: This paper introduces a new way to obtain the dynamical response of Euler–Bernoulli beams under large deflections. They are simulated with parsimonious models based on a two integrated neural networks. Our article proves that neural network based-reduced modelling allows mechanical simulations to benefit shorter time processing without a great loss of accuracy. Our model reduction technique ensures a good error-speed compromise. It rapidly leads to algebraic generic model matching interactive simulation or high-realistic multi-sensorial virtual protoyping requirements. The originality of our solution consists in the linking of two neural networks. They are integrated in a conditional loop. First, the article presents a systematic numerical technique that enables users to efficiently build an optimal neural network. This approach is based on the handling of discrete optimization evolutionary technique. Our optimization process is applied to the construction of the two neural networks. From an exhaustive learning base created from non-linear finite element analysis series, we secondly clearly describe our two neural network-based reduced models. The first neural network that enables nodal displacements to be determined from boundary conditions is linked to the second one that aims to set boundary conditions from a deformation state. The new relationship is finally analysed for justifying the successes of our proposal. The article completely details a new numerical process supervising the making of an integrated neural network loop being a new from of model for beam non-linear behaviour representation. [Copyright &y& Elsevier]
- Published
- 2008
- Full Text
- View/download PDF
6. Are there Goodwin employment-distribution cycles? International empirical evidence
- Author
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García Molina, M. and Eleonora Herrera-Medina
- Subjects
E19 ,ciclos de crecimiento ,modèle prédateur-proie ,ciclos de demanda ,non-linear dynamic behaviour ,jel:C10 ,modelo depredador-presa ,lcsh:Economic history and conditions ,lcsh:Social Sciences ,lcsh:H ,comportamiento no lineal ,O47 ,growth cycles ,predator-prey model ,lcsh:HC10-1085 ,comportement dynamique non linéaire ,demand cycles ,cycles de demande ,cycles de croissance ,E32 - Abstract
Goodwin´s predator-prey model predicts clockwise cycles in the employment-distribution space. Qualitative evidence is provided in favour of nonlinear dynamic behaviour for a sample of 67 countries, some of which have cycles similar to those predicted by the model. Predicted centres lie outside actual circles. The kind of cycle (clockwise, counter clockwise or atypical) appears to be related to the kind of capitalism of the country. Countries with Market or European capitalism, as well as transition economies, do not tend to have demand cycles; developing countries with a Mediterranean capitalism do not tend to have Goodwin cycles. El modelo depredador-presa de Goodwin predice ciclos en el sentido del reloj en el plano empleo-distribución. Se presenta evidencia cualitativa de comportamiento no lineal para una muestra de 67 países, algunos con ciclos como los de Goodwin. Los centros estimados yacen por fuera de los ciclos observados. El tipo de ciclo (en el sentido del reloj, contrario o atípico) parece relacionarse con el tipo de capitalismo del país. Economías con capitalismo de mercado o europeo, y las economías en transición no presentan ciclos de demanda; los países en desarrollo con capitalismo mediterráneo no presentan ciclos de Goodwin. Le modèle prédateur-proie de Goodwin prédit des cycles dans le sens des aiguilles de la montre par rapport dans l´espace emploi-distribution. Ce papier propose de l évidence qualitative supportant un possible comportement dynamique non linéaire pour un échantillon de 67 pays, dont certains ont des cycles semblables à ceux prédits par le modèle. Le type de cycle (dans le sens des aiguilles d´une montre, inverse ou atypique) semble être rattaché au type de capitalisme du pays analysé. Les pays caractérisés par une forme de capitalisme de marché ou européen et les économies de transition n´évidence pas de tendance à avoir des cycles de demande; les pays en développement caractérisés par une forme de capitalisme méditerranéenne ne montre pas des cycles de type Goodwin.
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