A mesh-free analysis method of structural elements of engineering structures based on B-spline wavelet basis function

Chen, Jianping; Tang, Wenyong; Huang, Peng‐Ju; Xu, Li

doi:10.12989/sem.2016.57.2.281

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…Oke Wasiu and Khulief Yehia [9] proposed a finite element model based on B-spline wavelets on the interval and constructed the finite pipe element in the wavelet space, and the developed wavelet-based finite element discretization scheme used less elements compared to the conventional finite element method for modeling composite pipes, and the accuracy of the new element was verified through numerical analysis. Chen et al [10] proposed a mesh-free method of structural elements of engineering structures based on B-spline wavelet basis function, and the displacement field model of the structure was constructed by using the m-order B-spline wavelet basis function as a mass function, and accuracy of the proposed method was verified by numerical analysis. Feng et al [11] proposed the 2D Daubechies wavelet finite element GPR equation, which could reduce the amount of calculation.…”

Section: Related Research Progressmentioning

confidence: 99%

Heat transfer analysis of fast response sensor for internal combustion engine based on Coiflet wavelet finite element method

Zhao

Han

Shi

et al. 2017

J Therm Anal Calorim

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The fast response temperature sensor is an effective tool for measuring the temperature of internal combustion engine, in order to improve the performance of fast response temperature sensor, and the Coiflet wavelet finite element method is applied in analyzing the heat transfer rules of fast response temperature sensor. Firstly, the related research progress on the performance analysis of fast response and wavelet finite element method is summarized, respectively, and research significance of heat transfer of fast response sensor based on Coiflet wavelet finite element method is summarized in detail. Secondly, the basic theory of fast response sensor is studied, and the new structure of the fast response temperature sensor is analyzed. Thirdly, the Coiflet wavelet finite element model of analyzing heat transfer of fast response sensor is constructed by combing the Coiflet wavelet scale function with traditional finite element method, and the theoretical models are deduced. Finally, the heat transfer simulation of fast response temperature sensor based on Coiflet wavelet finite element method is carried out, and simulation results show that the Coiflet finite element has higher computing precision and efficiency than traditional finite element method, and the heat transfer rules of fast response temperature sensor are also obtained.Keywords Coiflet wavelet finite element Á Heat transfer Á Fast response temperature sensor During the working process of the internal combustion engine, the temperature and pressure of the low-temperature working media can increase through the combustion of mixture refrigerant concluding air and petroleum fuels, and then the working media can do expansion work. In the process of combustion, the temperature of the working medium will suddenly increase, and the process time should be measured in seconds. Because temperature changes rapidly, the general temperature sensor has difficulty measuring the temperature of the working medium accurately, and therefore the fast response temperature sensor should be used. Currently, there are many sensors; however, these sensors have many disadvantages when they are used to measure the temperature of the internal combustion engine; for example, the platinum resistance thermometer has low response speed and big volume, the thermistor is volatile in high temperature, and the radiation thermometer is not suitable for measuring the temperature of closed cavity. Therefore, the new fast speed sensor should be used to measure the temperature of internal combustion engine, which has fast response when it is used to measure temperature of internal combustion engine. However, the temperature change in fast response sensor has strong nonlinearity when it is used to measure temperature of internal combustion engine, and therefore the advanced numerical analysis method should be used to analyze the temperature of fast response sensor. The wavelet finite element method has the characteristic of multi-resolution analysis, and the complex degree of nonlinear analys...

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Section: Related Research Progressmentioning

confidence: 99%

Heat transfer analysis of fast response sensor for internal combustion engine based on Coiflet wavelet finite element method

Zhao

Han

Shi

et al. 2017

J Therm Anal Calorim

View full text Add to dashboard Cite

show abstract

“…The weak form includes the element-free Galerkin (EFG) method [12], the reproducing kernel particle method [13,14], the meshless local Petrov-Galerkin method [15], the radial point interpolation method (RPIM) [5,16,17] and the moving Kriging interpolation (MKI) method [18,19]. The last one which is mostly considered, is the meshless weak-strong form (MWS) method [20,21]. Meshless methods based on the Galerkin weak form require a background mesh to compute the quadrature integrations [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue

Vakili

Shahabian

Rad

2021

NMCE

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Although the finite element method (FEM) is a well-established method for modelling the thick plates, in some cases FEM encounters some difficulties such as shear locking and decrease in the accuracy of results caused by stress concentration around the openings. In this paper for the first time, the EFG method based on the higher-order shear deformation theories is developed for analysis of thick plates with cutout to overcome these drawbacks. It should be mentioned that the EFG method does not need any mesh generation in problem domain and its boundaries. The Radial Point Interpolation method (RPIM) is used to discrete the problem domain. Several numerical examples are analyzed using proposed method and effects of aspect ratios, boundary conditions and location of cutout are discussed in details. Results show that by choosing the appropriate shape functions for the deflection and rotations, the presented EFG method has successfully overcome the shear-locking problem. Based on numerical results, the best position of circular cutout, which minimizes the maximum deflection is determined. The approximate equations for determination of maximum deflection are presented using the cubic polynomial method. Numerical implementations show that the presented method has high efficiency, good accuracy and easy implementation.

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A mesh-free analysis method of structural elements of engineering structures based on B-spline wavelet basis function

Cited by 2 publications

References 12 publications

Heat transfer analysis of fast response sensor for internal combustion engine based on Coiflet wavelet finite element method

Heat transfer analysis of fast response sensor for internal combustion engine based on Coiflet wavelet finite element method

Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue

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