Display Method：

Accepted Manuscript , doi: 10.1016/j.taml.2022.100385
[Abstract] (69) [PDF 955KB] (7)
Abstract:
The center manifold method has been widely used in the field of stochastic dynamics as a dimensionality reduction method. This paper studied the angular motion stability of a projectile system under random disturbances. The random bifurcation of the projectile is studied using the idea of the Routh-Hurwitz stability criterion, the center manifold reduction, and the polar coordinates transformation. Then, an approximate analytical presentation for the stationary probability density function is found from the related Fokker–Planck equation. From the results, the random dynamical system of projectile generates three different dynamical behaviors with the changes of the bifurcation parameter and the noise strength, which can be a reference for projectile design.

Display Method:          |

Theoretical and Applied Mechanics Letters  12 (2022) 100363.   doi: 10.1016/j.taml.2022.100363
[Abstract] (73) [PDF 4581KB] (0)
Abstract:
Theoretical and Applied Mechanics Letters  12 (2022) 100369.   doi: 10.1016/j.taml.2022.100369
[Abstract] (61) [PDF 9175KB] (2)
Abstract:
This paper examines the influence of physical parameters on the collapse dynamics of a spherical bubble filled with diatomic gas (κ = 7/5). The problem is formulated by the Rayleigh-Plesset dynamical equation, whose numerical solutions are carried out by Maple. Our studies show that each physical parameter affects the bubble collapse dynamics in different degree, which reveals that bubble collapse dynamics must considers all the parameters including liquid viscosity, surface tension, etc, else the outcome cannot be trusted.
Theoretical and Applied Mechanics Letters  12 (2022) 100378.   doi: 10.1016/j.taml.2022.100378
[Abstract] (57) [PDF 3032KB] (0)
Abstract:
A streamlined shape of the best swimmers removes the boundary-layer separation and ensures a laminar flow pattern. The fastest fish have a very sharp convex nose (rostrum), the purpose of which remains unclear. The bodies of revolution similar to their shapes are analyzed in steady underwater and floating motion. The sources and sinks were located on the axis of symmetry and above the water surface to estimate the pressure on the body and the vertical velocities on the water surface. It was shown that the flow patterns on a special shaped body with concave nose has no stagnation points and ensure small values of the water surface elevation. These fact allow diminishing the maximum pressure on the surface and wave drag. Special shapes with the sharp concave nose and negative pressure gradients on their surface could be parts of the low drag underwater and floating hulls.
Theoretical and Applied Mechanics Letters  12 (2022) 100380.   doi: 10.1016/j.taml.2022.100380
[Abstract] (52) [PDF 12869KB] (0)
Abstract:
The quantitative characterization of the full-field stress and displacement is significant for analyzing the failure and instability of engineering materials. Various optical measurement techniques such as photoelasticity, moiré and digital image correlation methods have been developed to achieve this goal. However, these methods are difficult to incorporate to determine the stress and displacement fields simultaneously because the tested models must contain particles and grating for displacement measurement; however, these elements will disturb the light passing through the tested models using photoelasticity. In this study, by combining photoelasticity and the sampling moiré method, we developed a method to determine the stress and displacement fields simultaneously in a three-dimensional (3D)-printed photoelastic model with orthogonal grating. Then, the full-field stress was determined by analyzing 10 photoelastic patterns, and the displacement fields were calculated using the sampling moiré method. The results indicate that the developed method can simultaneously determine the stress and displacement fields.
Theoretical and Applied Mechanics Letters  12 (2022) 100383.   doi: 10.1016/j.taml.2022.100383
[Abstract] (67) [PDF 1794KB] (3)
Abstract:
The present study is focused on the constitutive modeling for the mechanical behavior of rubber reinforced with filler particles. A filler-dependent energy density function is proposed with all the continuum mechanics-based necessities of an effective hyperelastic material model. The proposed invariant-based energy function comprises a single set of material parameters for a material subjected to several modes of loading conditions. The model solution agrees well with existing experimental results. Later, the effect of varying concentrations of filler particles in the rubber matrix is also studied.
Theoretical and Applied Mechanics Letters  12 (2022) 100384.   doi: 10.1016/j.taml.2022.100384
[Abstract] (57) [PDF 6186KB] (0)
Abstract:
Prediction of Lotka-Volterra equations has always been a complex problem due to their dynamic properties. In this paper, we present an algorithm for predicting the Lotka-Volterra equation and investigate the prediction for both the original system and the system driven by noise. This demonstrates that deep learning can be applied in dynamics of population. This is the first study that uses deep learning algorithms to predict Lotka-Volterra equations. Several numerical examples are presented to illustrate the performances of the proposed algorithm, including Predator nonlinear breeding and prey competition systems, one prey and two predator competition systems, and their respective systems. All the results suggest that the proposed algorithm is feasible and effective for predicting Lotka-Volterra equations. Furthermore, the influence of the optimizer on the algorithm is discussed in detail. These results indicate that the performance of the machine learning technique can be improved by constructing the neural networks appropriately.
Theoretical and Applied Mechanics Letters  12 (2022) 100388.   doi: 10.1016/j.taml.2022.100388
[Abstract] (0) [PDF 361KB] (0)
Abstract:
$v.abstractInfoEn Theoretical and Applied Mechanics Letters 12 (2022) 100389. doi: 10.1016/j.taml.2022.100389 [Abstract] (0) [PDF 5777KB] (0) Abstract:$v.abstractInfoEn
Theoretical and Applied Mechanics Letters  12 (2022) 100392.   doi: 10.1016/j.taml.2022.100392
[Abstract] (0) [PDF 333KB] (0)
Abstract:
$v.abstractInfoEn Theoretical and Applied Mechanics Letters 12 (2022) 100398. doi: 10.1016/j.taml.2022.100398 [Abstract] (0) [PDF 5682KB] (0) Abstract:$v.abstractInfoEn
2019, 9(6): 339-352   doi: 10.1016/j.taml.2019.06.001
[Abstract](1524) [FullText HTML](866) [PDF 3845KB](98)
2020, 10(4): 262-269   doi: 10.1016/j.taml.2020.01.034
[Abstract](1340) [FullText HTML](642) [PDF 3192KB](91)
2020, 10(3): 141-142   doi: 10.1016/j.taml.2020.01.041
[Abstract](9211) [FullText HTML](798) [PDF 3081KB](89)
2019, 9(4): 236-245   doi: 10.1016/j.taml.2019.03.004
[Abstract](1058) [FullText HTML](624) [PDF 2579KB](81)
2020, 10(3): 207-212   doi: 10.1016/j.taml.2020.01.039
[Abstract](1365) [FullText HTML](612) [PDF 4183KB](75)
2020, 10(5): 327-332   doi: 10.1016/j.taml.2020.01.051
[Abstract](1145) [FullText HTML](700) [PDF 2862KB](67)
2020, 10(2): 116-119   doi: 10.1016/j.taml.2020.01.015
[Abstract](1157) [FullText HTML](618) [PDF 2494KB](64)
11 (2021) 100238   doi: 10.1016/j.taml.2021.100238
[Abstract](635) [FullText HTML](529) [PDF 2196KB](63)
2018, 8(4): 252-256   doi: 10.1016/j.taml.2018.04.006
[Abstract](1512) [FullText HTML](971) [PDF 2725KB](63)
2020, 10(6): 377-381   doi: 10.1016/j.taml.2020.01.055
[Abstract](807) [FullText HTML](511) [PDF 2541KB](61)