摘要
这份报纸出现怎么所谓的 von K ? 潶 ??
This paper shows how the so called von Karman model can be obtained as a singular limit of a modified Mindlin-Timoshenko system when the modulus of elasticity in shear κ tends to infinity, provided a regularizing term through a fourth order dispersive operator is added. Introducing damping mechanisms, the authors also show that the energy of solutions for this modified Mindlin-Timoshenko system decays exponentially, uniformly with respect to the parameter k. As κ→∞, the authors obtain the damped von Karman model with associated energy exponentially decaying to zero as well.
基金
supported by INCTMat, FAPESQ-PB, CNPq (Brazil) under Grant Nos. 308150/2008-2 and 620108/2008-8
the MICINN (Spain) under Grant No. MTM2008-03541
the Advanced Grant FP7-246775 NUMERIWAVES of the ERC
the Project PI2010-04 of the Basque Government
关键词
奇异极限
系统
非线性
一维
稳定
剪切弹性模量
阻尼机制
四阶色散
Mindlin-Timoshenko system, singular limit, uniform stabilization, vibrating beams, von Karman system.
