GB605822A - Improvements in and relating to apparatus for solving physical problems - Google Patents
Improvements in and relating to apparatus for solving physical problemsInfo
- Publication number
- GB605822A GB605822A GB49246A GB49246A GB605822A GB 605822 A GB605822 A GB 605822A GB 49246 A GB49246 A GB 49246A GB 49246 A GB49246 A GB 49246A GB 605822 A GB605822 A GB 605822A
- Authority
- GB
- United Kingdom
- Prior art keywords
- boundary
- network
- resistances
- node
- nodes
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06G—ANALOGUE COMPUTERS
- G06G7/00—Devices in which the computing operation is performed by varying electric or magnetic quantities
- G06G7/12—Arrangements for performing computing operations, e.g. operational amplifiers
- G06G7/32—Arrangements for performing computing operations, e.g. operational amplifiers for solving of equations or inequations; for matrices
- G06G7/38—Arrangements for performing computing operations, e.g. operational amplifiers for solving of equations or inequations; for matrices of differential or integral equations
- G06G7/40—Arrangements for performing computing operations, e.g. operational amplifiers for solving of equations or inequations; for matrices of differential or integral equations of partial differential equations of field or wave equations
- G06G7/46—Arrangements for performing computing operations, e.g. operational amplifiers for solving of equations or inequations; for matrices of differential or integral equations of partial differential equations of field or wave equations using discontinuous medium, e.g. resistance network
Landscapes
- Physics & Mathematics (AREA)
- Mathematical Physics (AREA)
- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Algebra (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Software Systems (AREA)
- Computer Hardware Design (AREA)
- Measurement Of Resistance Or Impedance (AREA)
Abstract
605,822. Electrical calculating apparatus. BOULTON PAUL AIRCRAFT, Ltd., and REDSHAW, S. C. Jan. 7, 1946, No. 492. [Class 106 (i)] Apparatus for solving physical problems comprises a network of resistances having a short-circuited boundary representing the physical boundary of the problem, means for feeding in at the nodes of the network an electric current representing in magnitude the independent variable, and an instrument adapted to measure the potential difference between the boundary and each of the nodes of the network. The invention is applied to the determination of the pattern of a loaded body, a system satisfying Poisson's equation, #<2>#/#x<2> + #<2>#/y<2> =f(x,y), which can be expressed in finite difference form as 4#0- #1- #2 - #3 - - #4+a<2>f(x,y)=0, if the area considered is divided by an imaginary square network so that #0, #1 ... #4 are the displacements at a central node and the four adjacent nodes, at a distance of a from the central node. This network is represented electrically by nodes 2 short-circuited on the boundary and connected by a square network of equal resistances 3. The boundary is connected to a battery 5, while the inner nodes are connected by large variable resistances 6 through switches 14 to the other side of the battery. For solving Poisson's equation, the switches 14 are closed and the resistances 6 are adjusted to feed in at each node a current proportional to the value f(x, y) at that node. A galvanometer 11 and potentiometer 12 are used with a wander plug to determine the potential difference between each node and the boundary short-circuit to give the value of # tor that node. As an example, for a uniformly loaded membrane, represented by the equation, where c is a constant, the resistances 6 are all equal. A further example is a membrane loaded only at its centre, represented by Laplace's equation, In this case, the switches 14 are opened except that leading to the centre of the network. Networks other than square may be used. In the case of a boundary not conforming to the shape of the network, the resistances adjacent the boundary may be adjusted.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| GB49246A GB605822A (en) | 1946-01-07 | 1946-01-07 | Improvements in and relating to apparatus for solving physical problems |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| GB49246A GB605822A (en) | 1946-01-07 | 1946-01-07 | Improvements in and relating to apparatus for solving physical problems |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| GB605822A true GB605822A (en) | 1948-07-30 |
Family
ID=9705294
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| GB49246A Expired GB605822A (en) | 1946-01-07 | 1946-01-07 | Improvements in and relating to apparatus for solving physical problems |
Country Status (1)
| Country | Link |
|---|---|
| GB (1) | GB605822A (en) |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US2802624A (en) * | 1951-08-17 | 1957-08-13 | Carl F Kayan | Apparatus for calculating heat exchanger performance |
| US2884193A (en) * | 1952-08-28 | 1959-04-28 | Sunvic Controls Ltd | Electrical analogue-computing apparatus |
| US3093731A (en) * | 1959-09-10 | 1963-06-11 | Walter J Karplus | Transient field simulator |
-
1946
- 1946-01-07 GB GB49246A patent/GB605822A/en not_active Expired
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US2802624A (en) * | 1951-08-17 | 1957-08-13 | Carl F Kayan | Apparatus for calculating heat exchanger performance |
| US2884193A (en) * | 1952-08-28 | 1959-04-28 | Sunvic Controls Ltd | Electrical analogue-computing apparatus |
| DE1079865B (en) * | 1952-08-28 | 1960-04-14 | Sunvic Controls Ltd | Electrical computing device for solving mathematical differential equations |
| US3093731A (en) * | 1959-09-10 | 1963-06-11 | Walter J Karplus | Transient field simulator |
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