Nonlinear Dynamic Analysis of Axisymmetric Solids by the Finite Element MethodSource: Journal of Pressure Vessel Technology:;1974:;volume( 096 ):;issue: 002::page 103Author:M. Hartzman
DOI: 10.1115/1.3454148Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A method for calculating the dynamic response of deformable axisymmetric solids, subjected to time-dependent axisymmetric loads is described. The nonlinearities considered in this analysis include material nonlinearity (elastic-plastic behavior) and geometric nonlinearity, which includes finite deformation. The finite-element method is applied to approximate the continuum by a lumped-mass system connected by axisymmetric elements. The equations of motion are solved by applying a step-by-step numerical technique. The analysis is illustrated by application to the collapse of a built-in spherical dome with varying thickness and to the impact of a cylinder against a rigid wall. Close agreement is obtained between the results from the present technique and results obtained from the literature.
keyword(s): Solids , Finite element methods , Dynamic analysis , Collapse , Cylinders , Dynamic response , Thickness , Domes (Structural elements) , Stress , Equations of motion AND Deformation ,
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| contributor author | M. Hartzman | |
| date accessioned | 2017-05-09T01:38:56Z | |
| date available | 2017-05-09T01:38:56Z | |
| date copyright | May, 1974 | |
| date issued | 1974 | |
| identifier issn | 0094-9930 | |
| identifier other | JPVTAS-28107#103_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/165215 | |
| description abstract | A method for calculating the dynamic response of deformable axisymmetric solids, subjected to time-dependent axisymmetric loads is described. The nonlinearities considered in this analysis include material nonlinearity (elastic-plastic behavior) and geometric nonlinearity, which includes finite deformation. The finite-element method is applied to approximate the continuum by a lumped-mass system connected by axisymmetric elements. The equations of motion are solved by applying a step-by-step numerical technique. The analysis is illustrated by application to the collapse of a built-in spherical dome with varying thickness and to the impact of a cylinder against a rigid wall. Close agreement is obtained between the results from the present technique and results obtained from the literature. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Nonlinear Dynamic Analysis of Axisymmetric Solids by the Finite Element Method | |
| type | Journal Paper | |
| journal volume | 96 | |
| journal issue | 2 | |
| journal title | Journal of Pressure Vessel Technology | |
| identifier doi | 10.1115/1.3454148 | |
| journal fristpage | 103 | |
| journal lastpage | 112 | |
| identifier eissn | 1528-8978 | |
| keywords | Solids | |
| keywords | Finite element methods | |
| keywords | Dynamic analysis | |
| keywords | Collapse | |
| keywords | Cylinders | |
| keywords | Dynamic response | |
| keywords | Thickness | |
| keywords | Domes (Structural elements) | |
| keywords | Stress | |
| keywords | Equations of motion AND Deformation | |
| tree | Journal of Pressure Vessel Technology:;1974:;volume( 096 ):;issue: 002 | |
| contenttype | Fulltext |