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Actuators made of dielectric elastomers are used in soft robotics for a variety of applications. However, due to their mechanical properties, they exhibit viscoelastic behaviour, especially in the initial phase of their performance, which can be observed in the first cycles of dynamic excitation. A fully fractional generalised Maxwell model was der...
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Soft robotic and medical devices will greatly benefit from stretchable and compliant pressure sensors that can detect deformation and contact forces for control and task safety. In addition to traditional 2D buckling via planar substrates, 3D buckling via curved substrates has emerged as an alternative approach to generate tunable and highly convol...
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... Mathematical models in science and technology have recently attracted an increased amount of research attention with the aim to understand, describe, and predict the future behaviors of natural phenomena. Recent studies on fractional calculus have been particularly popular among researchers due to their favorable properties when analyzing real-world models associated with properties such as anomalous diffusion, non-Markovian processes, random walk, long range, and, most importantly, heterogeneous behaviors [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. The concept of local differential operators along with power law settings and non-local differential operators were suggested in order to accurately replicate the above-cited natural processes. ...
The essence of mathematical tools used to exemplify the practical problems that exist in daily life is as old as the world itself [...]
This article reported an extensive review of computational modelling and analysis on damping and vibrational behaviors of viscoelastic structures, including experimental techniques. viscoelastic materials have emerged as an effective technology for enhancing damping characteristics in composite structures because of their ability to damp vibration and the ability to conserve the geometry of the material after deformation. In structural design viscoelastic material is never employed alone, it is always adhered to the thin-walled structure to form a damping layer of different structural configurations such as sandwich structure configurations and reinforced configurations. It is worth mentioning that viscoelastic materials are quite frequency-dependent meaning that the vibrational properties keep varying with the excitation frequency, accordingly, yielding complex natural frequencies of vibration. This paper provides a primary discussion on the basic forming principles of linear viscoelastic material providing comparisons of different viscoelastic material mathematical models, and applications of viscoelastic material including their effects on composite structure damping and vibrational behaviors. Moreover, different computational methods for dynamic behaviors of viscoelastic sandwich structures including analytical method, finite element method, and mixed method were assessed to provide insights into the limitations of each approach. The drawbacks of each calculation theory for various traditional and recent configurations are systematically presented in engineering structures containing viscoelastic followed by a detailed description and comparison of different modeling methods, their applicability, and their respective comparisons.
