Push Bound
George Trapp and Bohe Wang
Computer Science and Electrical Engineering Department,
West Virginia University, Morgantown WV 26506
Abstract
The push bound problem is a very interesting one. When we push at a plate, sometime all plate goes ahead, sometime some place bounds. C. V. Coffman and R. J. Duffin[1], R. J. Duffin[2] and P. R. Garabedian[3] did good job in this field. Here, what we are considering is, for square plates, when we push at a given point, which points will bound. Using difference method and MATLAB, we deal with common material (like galss, steel, ...) and composite material square plates. The position where the load P acts on is from corner to center. The results are shown in case 1 and case 2.
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
References
[1] C. V. Coffman and R. J. Duffin, On the structure of biharmonic functions
satisfying the clamed plate conditions on a right angle, Adv. In appl. Math.
1(1980), 373-389.
[2] R. J. Duffin, Some problems of mathematics and science, Bull Amer. Math.
Soc. 80(1974), 1053-1070.
[3] P. R. Garabedian, A Partial Differential Equation arising in Conformal
Mapplig, Pacific J. Math 1(1951), 485-524