Mathematical Fundamentals of Differential Quadrature Method: Linear Vector Space Analysis and Function Approximation

2000 ◽  
pp. 1-24 ◽  
Author(s):  
Chang Shu
Keyword(s):  
Vector Space ◽  
Function Approximation ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Linear Vector ◽  
Space Analysis ◽  
And Function ◽  
Linear Vector Space

Modeling Interferometric Structures with Birefringent Elements: A Linear Vector-Space Formalism

2013 ◽  
Author(s):  
Nicholas J. Frigo ◽  
Vincent J. Urick ◽  
Frank Bucholtz
Keyword(s):  
Vector Space ◽  
Linear Vector ◽  
Space Formalism ◽  
Linear Vector Space

scholarly journals Cubic Spline Based Differential Quadrature Method: A Numerical Approach for Fractional Burger Equation

2021 ◽  
pp. 104415
Author(s):  
Muhammad Sadiq Hashmi ◽  
Misbah Wajiha ◽  
Shao-Wen Yao ◽  
Abdul Ghaffar ◽  
Mustafa Inc
Keyword(s):  
Burger Equation ◽  
Differential Quadrature Method ◽  
Numerical Approach ◽  
Cubic Spline ◽  
Differential Quadrature ◽  
Quadrature Method

Stability Analysis of Moving Printing Web With Sine Half-Wave Variable Density Based on Differential Quadrature Method

2017 ◽  
Vol 139 (6) ◽  
Author(s):  
Jimei Wu ◽  
Mingyue Shao ◽  
Yan Wang ◽  
Qiumin Wu ◽  
Fan Zhao
Keyword(s):  
Flexible Electronics ◽  
Transverse Vibration ◽  
Differential Quadrature Method ◽  
Variable Density ◽  
Differential Quadrature ◽  
Printing Press ◽  
Quadrature Method ◽  
Half Wave ◽  
The Impact ◽  
Density Coefficient

The moving web is widely used to make printing and packaging products, flexible electronics, cloths, etc. The impact of the variable density on printing web dynamic behavior is considered. The density changes in the form of sine half-wave in the lateral direction. Based on the D'Alembert's principle, the transverse vibration differential equation of moving printing web with variable density is established and is discretized by using the differential quadrature method (DQM). The complex characteristic equation is derived. The impacts of the density coefficient and the dimensionless speed on the web stability and vibration characteristics are discussed. The results show that it is feasible to use the DQM to analyze the problem of transverse vibration of printing web with varying density; the tension ratio and the density coefficient have important impacts on the stability of moving printing web. This study provides theoretical guidance and basis for optimizing the structure of printing press and improving the stable working speed of printing press and web.

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