Thermoelastic deformation of reinforced chiral cylinders

Ieşan, D.

doi:10.1007/s00707-017-1900-x

Cited by 4 publications

(2 citation statements)

References 14 publications

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“…It was of great significance to study the rule of metal thermal expansion for analyzing the mechanism of mechanical thermal deformation and for improving the practical application technology [6][7][8][9]. The thermal elasticity theory found numerous applications for solving thermal deformation problems of various new materials and complicated mechanical parts.…”

Section: Introductionmentioning

confidence: 99%

Prediction of the Deformation of Aluminum Alloy Drill Pipes in Thermal Assembly Based on a BP Neural Network

et al. 2022

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The connection between the steel joint and aluminum alloy pipe is the weak part of the aluminum alloy drill pipe. Practically, the interference connection between the aluminum alloy rod and the steel joint is usually realized by thermal assembly. In this paper, the relationship between the cooling water flow rate, initial heating temperature and the thermal deformation of the steel joint in interference thermal assembly was studied and predicted. Firstly, the temperature data of each measuring point of the steel joint were obtained by a thermal assembly experiment. Based on the theory of thermoelasticity, the analytical solution of the thermal deformation of the steel joint was studied. The temperature function was fitted by the least square method, and the calculated value of radial thermal deformation of the section was finally obtained. Based on the BP neural network algorithm, the thermal deformation of steel joint section was predicted. Besides, a prediction model was established, which was about the relationship between cooling water flow rate, initial heating temperature and interference. The magnitude of interference fit of steel joint was predicted. The magnitude of the interference fit of the steel joint was predicted. A polynomial model, exponential model and Gaussian model were adopted to predict the sectional deformation so as to compare and analyze the predictive performance of a BP neural network, among which the polynomial model was used to predict the magnitude of the interference fit. Through a comparative analysis of the fitting residual (RE) and sum of squares of the error (SSE), it can be known that a BP neural network has good prediction accuracy. The predicted results showed that the error of the prediction model increases with the increase of the heating temperature in the prediction model of the steel node interference and related factors. When the cooling water velocity hit 0.038 m/s, the prediction accuracy was the highest. The prediction error increases with the increase or decrease of the velocity. Especially when the velocity increases, the trend of error increasing became more obvious. The analysis shows that this method has better prediction accuracy.

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Section: Introductionmentioning

confidence: 99%

Prediction of the Deformation of Aluminum Alloy Drill Pipes in Thermal Assembly Based on a BP Neural Network

et al. 2022

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“…A schematic description of chiral transformations and the changes of the number of symmetry groups from higher dimensions (macroscale chiral layers) to lower dimensions (molecules of chiral line structure) is outlined in [41], backed by various experimental results. Further developments in three-dimensional chiral structures can be found in [10,17,44].…”

Section: Introduction 1backgroundmentioning

confidence: 99%

Chirality in the plane

Böhmer

Lee

Neff

2020

Journal of the Mechanics and Physics of Solids

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It is well-known that many three-dimensional chiral material models become non-chiral when reduced to two dimensions. Chiral properties of the two-dimensional model can then be restored by adding appropriate two-dimensional chiral terms. In this paper we show how to construct a three-dimensional chiral energy function which can achieve two-dimensional chirality induced already by a chiral three-dimensional model. The key ingredient to this approach is the consideration of a nonlinear chiral energy containing only rotational parts. After formulating an appropriate energy functional, we study the equations of motion and find explicit soliton solutions displaying two-dimensional chiral properties.

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