工程可靠性与随机力学国际联合研究中心

2025年第22期（总第114期）学术报告

工程力学研究中心第69期学术报告

文远讲坛337期

报告主题

TOPIC

结构大振幅振动中的非线性阻尼及人体主动脉组织中的粘弹性耗散

Nonlinear damping in large-amplitude vibrations of structures and
viscoelastic dissipation in human aortic tissue

报告人

SPEAKER

Prof. Marco Amabili

-Full professor, School of Engineering, Westlake University

-Member of the US National Academy of Engineering

-New Editor-in-Chief of IJNM

报告时间

TIME

2025年12月8日（周一）上午10:00-11:00

报告地点

VENUE

同济大学土木大楼 A305

主持人

CHAIR

陈建兵教授、彭勇波教授

联系人：牛立志

报告内容

Abstract

An increase in damping is relevant for the passive control of vibrations and noise; therefore, it is very relevant in design. Experimental data show a strong and nonlinear dependence of damping on the vibration amplitude for beams, plates, and shells of different sizes and made of different materials (metal, composite materials, silicone rubber, and graphene). While the frequency shift of resonances due to stiffness nonlinearity is commonly 10 to 25 % at most for common structural elements, a damping value up to several times larger than the linear one can be obtained for vibrations of thin plates when the vibration amplitude is about twice the thickness. This is a huge change in the damping value! Therefore, the nonlinear nature of damping affects structural vibrations much more than stiffness nonlinearity. Despite this experimental evidence, nonlinear damping has not yet been sufficiently studied. A model of nonlinear damping was derived from linear viscoelasticity for single-degree-of-freedom systems and rectangular plates by taking into account geometric nonlinearity. The resulting damping model was nonlinear, and the model parameters were identified from experiments. Numerical results for forced vibration responses of different structural elements in large-amplitude (nonlinear) regimes were obtained and successfully compared to experimental results, validating the nonlinear damping model. Then, the identification of dissipation in the case of hyperelastic and viscoelastic materials was introduced and applied to soft biological tissues. Loss factors and damping from cyclic loads were obtained from hysteresis loops at different force levels and frequencies for human aortic tissue.

报告人简介

Speaker Bio

Prof. Marco Amabili is a Chair professor at Westlake University, Hangzhou, China, and Emeritus Distinguished professor at McGill University, Montreal, Canada. He is a Member of the National Academy of Engineering of the USA, a Fellow of the Royal Society of Canada and Canadian Academy of Engineering, member of Academia Europaea, European Academy of Sciences and Arts, and European Academy of Sciences. He received the 2020 Worcester Reed Medal of the ASME, the 2022 Guggenheim Fellowship in Engineering, the 2021 Mindlin medal of the ASCE, the 2021 Gili-Agostinelli International prize of the Italian National Academy of Sciences, the 2022 Blaise Pascal medal of the European Academy of Sciences and the 2022 Rayleigh Lecture Award of ASME. He was elected Honorary Member of the ASME in 2024. Amabili was the chair of the Executive Committee of the Applied Mechanics Division of ASME, and chair of the Canadian National Committee for IUTAM. He is the new Editor-in-Chief of the International Journal of Non-linear Mechanics (Elsevier).