contributor author | D. C. Chiang | |
contributor author | S. S. H. Chen | |
date accessioned | 2017-05-09T01:19:07Z | |
date available | 2017-05-09T01:19:07Z | |
date copyright | June, 1972 | |
date issued | 1972 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-25961#577_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/158301 | |
description abstract | Simplified nonlinear governing differential equations proposed by Berger and extended by Nash and Modeer are applied to obtain natural frequencies of a circular plate with concentric rigid part at its center in large amplitude vibrations. A modified Galerkin technique is used to derive a nonlinear differential equation of which the solution is given in terms of elliptic functions. The small amplitude vibration is treated as a special case of large amplitude vibration, while the free, large amplitude vibration of a flat circular plate is studied as a special case of large amplitude vibration of a circular plate with a concentric mass. The numerical results show that the effect of added concentric rigid mass to a circular plate is significant. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Large Amplitude Vibration of a Circular Plate With Concentric Rigid Mass | |
type | Journal Paper | |
journal volume | 39 | |
journal issue | 2 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3422720 | |
journal fristpage | 577 | |
journal lastpage | 583 | |
identifier eissn | 1528-9036 | |
keywords | Vibration | |
keywords | Frequency | |
keywords | Functions | |
keywords | Nonlinear differential equations AND Differential equations | |
tree | Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002 | |
contenttype | Fulltext | |