Spatial statistics of plate vibration modes with irregular boundary conditions

1997 ◽  
Vol 101 (5) ◽  
pp. 3063-3063
Author(s):  
Michael J. Bakker ◽  
Richard G. DeJong
Keyword(s):  
Boundary Conditions ◽  
Spatial Statistics ◽  
Plate Vibration ◽  
Vibration Modes ◽  
Irregular Boundary ◽  
Irregular Boundary Conditions

scholarly journals Restructuring surface tessellation with irregular boundary conditions

2014 ◽  
Vol 3 (4) ◽  
pp. 337-347 ◽  
Author(s):  
Tsung-Hsien Wang ◽  
Ramesh Krishnamurti ◽  
Kenji Shimada
Keyword(s):  
Boundary Conditions ◽  
Irregular Boundary ◽  
Irregular Boundary Conditions

Improved Point-Matching Techniques Applied to Multi-Region Heat Transfer Problems

1972 ◽  
Vol 94 (2) ◽  
pp. 203-209 ◽  
Author(s):  
D. M. France ◽  
T. Ginsberg
Keyword(s):  
Temperature Distribution ◽  
Boundary Conditions ◽  
Series Solution ◽  
The Other ◽  
Flow Area ◽  
Irregular Boundary ◽  
Nusselt Numbers ◽  
The Difference ◽  
Irregular Boundary Conditions ◽  
Matching Techniques

An analytical method is presented which extends the series solution of the Laplace and Poisson equations with irregular boundary conditions to multi-cell problems. The method employs a least-squares technique of satisfying the boundary conditions on the irregular boundaries and eliminates the use of a finite number of boundary points to satisfy these conditions. The technique is applied to the calculation of the fully developed temperature distribution of a constant-velocity fluid flowing parallel to a semi-infinite square array of circular nuclear fuel rods. The bounding wall of the array is located such that the flow area of the cell associated with the rod adjacent to the wall is different from the (equal) areas of all the other cells. The series solution is compared to a finite-difference solution for a sample case of two cells. The results for the semi-infinite array indicate that while the array temperature distribution is markedly affected by the difference in flow areas, the Nusselt numbers of the rods are relatively unaffected. Typical results are presented for a pitch-to-diameter of 1.2; the flow area of the first cell is 3.67 percent greater than the area of the other cells.

scholarly journals On Impulsive Boundary Value Problems of Fractional Differential Equations with Irregular Boundary Conditions

2012 ◽  
Vol 2012 ◽  
pp. 1-18
Author(s):  
Guotao Wang ◽  
Bashir Ahmad ◽  
Lihong Zhang
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fixed Point Theorems ◽  
Impulsive Differential Equations ◽  
Irregular Boundary ◽  
Existence And Uniqueness Results ◽  
Impulsive Boundary Value Problems ◽  
Uniqueness Results ◽  
Fractional Differential ◽  
Irregular Boundary Conditions

We study nonlinear impulsive differential equations of fractional order with irregular boundary conditions. Some existence and uniqueness results are obtained by applying standard fixed-point theorems. For illustration of the results, some examples are discussed.

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