Finite Inflation of a Bonded ToroidSource: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002::page 491Author:K. H. Hsu
DOI: 10.1115/1.3422705Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A general approach to the numerical solutions for axially symmetric membrane problem is presented. The formulation of the problem leads to a system of first-order nonlinear differential equations. These equations are formulated such that the numerical integration can be carried out for any form of strain-energy function. Solutions to these equations are feasible for various boundary conditions. In this paper, these equations are applied to the problem of a bonded toroid under inflation. A bonded toroid, which is in the shape of a tubeless tire, has its two circular edges rigidly bonded to a rim. The Runge-Kutta method is employed to solve the system of differential equations, in which Mooney’s form of strain-energy function is adopted.
keyword(s): Inflationary universe , Equations , Membranes , Nonlinear differential equations , Runge-Kutta methods , Shapes , Tires , Differential equations AND Boundary-value problems ,
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| contributor author | K. H. Hsu | |
| date accessioned | 2017-05-09T01:18:35Z | |
| date available | 2017-05-09T01:18:35Z | |
| date copyright | June, 1972 | |
| date issued | 1972 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25961#491_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/158145 | |
| description abstract | A general approach to the numerical solutions for axially symmetric membrane problem is presented. The formulation of the problem leads to a system of first-order nonlinear differential equations. These equations are formulated such that the numerical integration can be carried out for any form of strain-energy function. Solutions to these equations are feasible for various boundary conditions. In this paper, these equations are applied to the problem of a bonded toroid under inflation. A bonded toroid, which is in the shape of a tubeless tire, has its two circular edges rigidly bonded to a rim. The Runge-Kutta method is employed to solve the system of differential equations, in which Mooney’s form of strain-energy function is adopted. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Finite Inflation of a Bonded Toroid | |
| type | Journal Paper | |
| journal volume | 39 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422705 | |
| journal fristpage | 491 | |
| journal lastpage | 494 | |
| identifier eissn | 1528-9036 | |
| keywords | Inflationary universe | |
| keywords | Equations | |
| keywords | Membranes | |
| keywords | Nonlinear differential equations | |
| keywords | Runge-Kutta methods | |
| keywords | Shapes | |
| keywords | Tires | |
| keywords | Differential equations AND Boundary-value problems | |
| tree | Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002 | |
| contenttype | Fulltext |