Nonsmooth Modeling of Vibro-Impacting Euler-Bernoulli Beam

被引:5
作者
Vyasarayani, C. P. [1 ]
Sandhu, Sukhpreet Singh [2 ]
McPhee, John [3 ]
机构
[1] Indian Inst Technol Hyderabad, Dept Mech Engn, Yeddumailaram 502205, India
[2] MSC Software, Santa Ana, CA 91203 USA
[3] Univ Waterloo, Syst Design Engn, Waterloo, ON N2L 3G1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1155/2012/268595
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
A new technique to simulate nonsmooth motions occurring in vibro-impacting continuous systems is proposed. Sticking motions that are encountered during vibro-impact simulation are imposed exactly using a Lagrange multiplier, which represents the normal reaction force between the continuous system and the obstacle. The expression for the Lagrange multiplier is developed in closed form. The developed theory is demonstrated by numerically simulating the forced response of a pinned-pinned beam impacting a point-like rigid obstacle.
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页数:9
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