Boundary Element Method and its Application for Measuring Moisture Content in Woody Materials

2009 ◽  
Vol 419-420 ◽  
pp. 781-784
Author(s):  
Jue Wang ◽  
Yue Sheng Luo ◽  
Shao Gang Liu
Keyword(s):  
Differential Equation ◽  
Boundary Element Method ◽  
Moisture Content ◽  
Boundary Element ◽  
Capacitance Sensor ◽  
Wood Moisture ◽  
Complex Boundary ◽  
The Mathematical Model ◽  
The Relationship ◽  
Element Method

The main aim of this paper is to study the mathematical model of the single planar capacitance sensor by boundary element method. This numerical method is used to compute the solution of the partial differential equation with complex boundary conditions which was established as the model of the single planar capacitance sensor. We find out the relationship between dielectric constant of the measured object and the capacitance value of capacitance sensors. A single planar capacitance sensor, which was set its specific size, is taken as an example, numerical example shows that this method is effective. The method and results can be applied to the practice of engineering, such as measuring wood moisture content and soil moisture contant, etc.

The Boundary Element Method to Solve the 2D Elastic Stress and Displacement Problem

2011 ◽  
Vol 117-119 ◽  
pp. 1774-1778
Author(s):  
Zhong Ping Yang ◽  
Nan Cong
Keyword(s):  
Differential Equation ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Elastic Stress ◽  
Basic Solution ◽  
Displacement Problem ◽  
Numerical Example ◽  
Elastic Mechanics ◽  
Element Method

With the balance of elastic mechanics differential equation and basic solution(Kelvin solution) As the foundation introduced the boundary element method for calculating the stress and displacement of elastomer. With a numerical example of the algorithm proved. The results show that the method can be more accurate solving 2 D elastic stress and displacement problem.

Relationship Among Coefficient Matrices in Symmetric Galerkin Boundary Element Method for Two-Dimensional Scalar Problems

2003 ◽  
Vol 70 (4) ◽  
pp. 479-486 ◽  
Author(s):  
G. Y. Yu
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Time Domain ◽  
Current Method ◽  
Present Formulation ◽  
Weakly Singular ◽  
Potential Problems ◽  
Galerkin Boundary Element Method ◽  
The Relationship ◽  
Element Method

Based on the assumption that solutions from different methods should be the same, the relationship among weakly singular, strongly singular and hypersingular matrices associated with symmetric Galerkin boundary element method (SGBEM) is derived in this paper. Hypersingularity is avoided through matrix manipulations so that only weakly and strongly singularities need to be solved. Compared with the advantages brought about by symmetry, the additional computation caused by matrix manipulations is not so important in many cases, especially for time-domain problems or when one wants to couple BEM with other symmetric schemes. Simplicity is the advantage of the current method over the traditional SGBEM. Both steady-state and time-domain potential problems have been studied, and two numerical examples are included to show the effectiveness and accuracy of the present formulation.

Model and Algorithm for Wood Moisture Content Detection by Capacitance Sensor

2013 ◽  
Vol 753-755 ◽  
pp. 2396-2399
Author(s):  
Cui Guo ◽  
Yue Sheng Luo ◽  
Yang Gao ◽  
Shao Gang Liu
Keyword(s):  
Dielectric Constant ◽  
Moisture Content ◽  
Numerical Method ◽  
Wood Moisture Content ◽  
Capacitance Sensor ◽  
Wood Moisture ◽  
The Relationship

In this article, a model which was used to measure wood moisture content(MC) was presented. It was founded under non-uniform and asymmetric conditions and there was no any need for wood shape. It can work out the relationship between capacitance value( ) and dielectric constant( ). Compared with previous methods, it not only can greatly lessened measuring work, but also avoided the waste of media resources, such as wood. At the same time, a new kind of numerical method was given for this problem. The number of unknown variables significantly are reduced by doing this.

Boundary element method for average pressure calculation of complex boundary reservior

2006 ◽  
Vol 18 (S1) ◽  
pp. 274-278 ◽  
Author(s):  
Hong-jun Yin ◽  
Zhen-lin Liu ◽  
Chun-quan Fu ◽  
Jin Wang
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Average Pressure ◽  
Pressure Calculation ◽  
Complex Boundary ◽  
Element Method
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