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钱钟书在《围城》写过,中国学者在外国,往往自以为讲学,听众以为他在学讲--讲不来外国话借此学学。因此,我到国外交流时特别小心,自己不要自称“讲学”,也不要让听众有“学讲”的错觉。我的presentation,邀请方称为seminar。
这次出访,计划安排两次seminar。我个人偏爱的是讲内共振能量采集和超临界轴向运动。只是后个题目在ICDVC-2014报告过,系主任Brian Mace教授参会时已经听过,新工作有限,再重复讲也不合适。结合对方的研究兴趣,决定分别讲内共振能量采集和非线性隔振。非线性吸振也有些工作,但隔振和吸振放在一起讲比较难组织。
听的人有Brian Mace等四位机械系的教师,还有位数学系做非线性动力学的教授。另有七、八名研究生。我觉得人已经不少了。新西兰只有四百万人,奥克兰是最大城市有一百五十万。这样近全国人口的三十万分之一,超过最大城市人口的十五万分之一出席。Seminar由邀请我的LihuaTang博士主持。
按Tang博士的建议,我先介绍一下上海大学。用了五分钟,介绍些关键性数据,以及展现校园风景的照片。报告三十五分钟,具体内容见所附摘要。正好在第45分钟结束,因为按那边的惯例,晚开始5分钟。讨论的十五分钟基本没有冷场。教师和参与了讨论。我都努力进行了解释至少是说了自己的看法,只有一个学生的问题我没有太听懂,他声音比较小,我听不清。Tang博士直接回答了。比较有意思的问题是数学系那位教师所问,纵向的激励会不会激发横向或侧向的运动。我想由于存在非线性有这种可能,但需要特别的频率条件下才能出现。Brian问这种针对简谐和随机激励的隔振,对冲击激励是不是也适用。我想持续的和非持续的激励,还是有本质区别的。这些以后都也可以研究。
这个领域近来才有些兴趣,工作积累有限。能有这种效果我自己很满意。
附:报告摘要
Some Advances in Nonlinear Vibration Isolation (seminar 1)
An isolation mount between a source and a receiver is widely adopted to reduce the level of transmitted vibrations. Recently, nonlinear vibration isolation has attracted significant attention. Nonlinearity could be intentionally introduced to extend the isolation range and to reduce transmitted vibration dramatically. Such nonlinearity can be implemented by a combination of positive and negative stiffness, which are arranged to achieve a low dynamic stiffness and hence lownatural frequency, but at the same time having a small static deflection. The negative stiffness could be realized by using horizontal springs, magnets, bi-stable composite plates subject to transverse center loading or comprising a post-buckled beam with an axial end constraint. The presentation focuses on recent developments in the area of nonlinear vibration isolation with high static low dynamic stiffness and demonstrates the analytical, the numerical and the experimental results of single/double-stage nonlinear vibration isolation prototype device. Both harmonic and random excitations are considered. The presentation emphasizes four strategies to improve the existing vibration isolation systems, namely, two-stage nonlinear vibration isolation, nonlinear damping, application of stochastic resonance, and negative stiffness produced by a bistable composite plate.
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