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arXiv 2401.07092physics.class-phcond-mat.mtrl-scimath.DSphysics.ins-det
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固体与结构中的颤振不稳定性,及其在生物力学和超材料方面的展望

Flutter instability in solids and structures, with a view on biomechanics and metamaterials

Davide Bigoni, Francesco Dal Corso, Oleg N. Kirillov, Diego Misseroni, Giovanni Noselli, Andrea Piccolroaz

AI总结:

本文综述了从纳米力学到空间结构及生物力学中非保守弹性体系颤振不稳定性和Hopf分岔的理论与实验进展,并指出开放问题与未来方向。

摘要:

被称为“颤振”的振荡不稳定性现象大约在一个世纪前就在气动弹性力学和转子动力学中被观察到。在一系列涉及非保守弹性理论应用的推动下,研究尺度从纳米力学到大尺度空间结构力学,并包括运动性与生长等生物力学问题,颤振研究正在经历一场新的复兴。本文综述了颤振不稳定性和Hopf分岔在基础理论方面最值得注意的应用和最新进展,涵盖理论和实验两个方面。文中还指出了开放问题、研究空白以及未来研究的新视角。

英文摘要:

The phenomenon of oscillatory instability called \lq flutter' was observed in aeroelasticity and rotor dynamics about a century ago. Driven by a series of applications involving nonconservative elasticity theory at different physical scales, ranging from nanomechanics to the mechanics of large space structures and including biomechanical problems of motility and growth, research on flutter is experiencing a new renaissance. A review is presented of the most notable applications and recent advances in fundamentals, both theoretical and experimental aspects, of flutter instability and Hopf bifurcation. Open problems, research gaps, and new perspectives for investigations are indicated.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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