BOUNDS ON MOTIONS OF SOME LUMPED AND CONTINUOUS DYNAMIC-SYSTEMS

被引：9
作者：
PLAUT, RH
INFANTE, EF
机构：
[1] Division of Applied Mathematics, Brown University, Providence, RI, United States
来源：
JOURNAL OF APPLIED MECHANICS | 1972年 / 39卷 / 01期
关键词：
Continuous dynamic systems - Continuous system - Elastic columns - Forcing terms - General dynamics - Snap-through - Time varying - Upper Bound;
D O I：
10.1115/1.3422621
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Lumped and continuous systems subjected to general dynamic loads or perturbations are considered. The motions of these systems are assumed to be described by ordinary or partial differential equations with time-varying forcing terms. Upper bounds on the motions are derived with a Liapunov type of approach. The results are applied to some structural dynamics problems. Displacement bounds are determined for elastic columns, plates, and arches, and sufficient conditions for stability of arches against dynamic snap-through are obtained. © 1972 by ASME.
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页码：251 / &
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