A Complex Mode Superposition Method Based on Hysteretic Damping Model for Mode Static Correction
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Published:2023-08-30
Issue:09
Volume:15
Page:
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ISSN:1758-8251
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Container-title:International Journal of Applied Mechanics
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language:en
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Short-container-title:Int. J. Appl. Mechanics
Author:
Sun Panxu1ORCID,
Zhang Senpei1ORCID,
Yan Yadan1ORCID,
Wang Dongwei1ORCID
Affiliation:
1. School of Civil Engineering, Zhengzhou University, Zhengzhou 450001, P. R. China
Abstract
Due to modal truncation, the dynamic responses calculated by the mode superposition method have some errors. In this paper, the source of truncation error of the complex mode superposition method for hysteretic damped systems with non-proportional characteristics is analyzed. It includes truncation errors of external excitation load and Hilbert transform term. With the increase of mode order, the ratio of excitation frequency to natural frequency gradually approaches zero. Combined with the expression of structural modal response caused by harmonic wave, the corresponding approximate expression of high-order modal response is obtained. Through quasi-static analysis, a complex mode superposition method of non-proportionally damped systems for mode static correction is proposed. Numerical examples show that when the ratios of the domain frequencies of the external excitation to the natural frequency of some high-order modes are small, the complex mode superposition method for mode static correction has a good effect.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Henan Province
Postdoctoral Research Foundation of China
Key Research Projects of Henan Higher Education Institutions
Publisher
World Scientific Pub Co Pte Ltd
Subject
Mechanical Engineering,Mechanics of Materials,General Materials Science