NONLINEAR NORMAL MODES AND THEIR APPLICATION IN STRUCTURAL DYNAMICS

CHRISTOPHE PIERRE; DONGYING JIANG; STEVEN SHAW

首页> 外文期刊>Mathematical Problems in Engineering >NONLINEAR NORMAL MODES AND THEIR APPLICATION IN STRUCTURAL DYNAMICS

【24h】

NONLINEAR NORMAL MODES AND THEIR APPLICATION IN STRUCTURAL DYNAMICS

机译：非线性正态模及其在结构动力学中的应用

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Recent progress in the area of nonlinear modal analysis for structural systems is reported. Systematic methods are developed for generating minimally sized reduced-order models that accurately describe the vibrations of large-scale nonlinear engineering structures. The general approach makes use of nonlinear normal modes that are defined in terms of invariant manifolds in the phase space of the system model. An efficient Galerkin projection method is developed, which allows for the construction of nonlinear modes that are accurate out to large amplitudes of vibration. This approach is successfully extended to the generation of nonlinear modes for systems that are internally resonant and for systems subject to external excitation. The effectiveness of the Galerkin-based construction of the nonlinear normal modes is also demonstrated for a realistic model of a rotating beam.

机译：报告了结构系统非线性模态分析领域的最新进展。开发了用于生成最小尺寸的降阶模型的系统方法，该模型可精确描述大型非线性工程结构的振动。通用方法利用非线性法线模式，该法线模式是根据系统模型相空间中的不变流形定义的。开发了一种有效的Galerkin投影方法，该方法可以构造出精确到大振幅振动的非线性模式。该方法已成功扩展到内部共振系统和受外部激励的系统的非线性模式的生成。对于旋转梁的真实模型，也证明了基于Galerkin的非线性法线模式的构造的有效性。

著录项

来源
《Mathematical Problems in Engineering》 |2006年第5期|p.1.1-1.15|共15页
作者
CHRISTOPHE PIERRE; DONGYING JIANG; STEVEN SHAW;
展开▼
作者单位

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类工程数学;
关键词

相似文献

外文文献
中文文献
专利

1. Nonlinear normal modes and their application in structural dynamics [J] . ChristophePierre, DongyingJiang, StevenShaw Mathematical Problems in Engineering: Theory, Methods and Applications . 2006,第5期

机译：非线性正态模及其在结构动力学中的应用
2. Application of nonlinear normal mode analysis to the nonlinear and coupled dynamics of a floating offshore platform with damping [J] . Falzarano JM., Kota RS., Clague RE. Nonlinear dynamics . 2001,第1a3期

机译：非线性正态分析在具有阻尼的浮式海上平台非线性和耦合动力学中的应用
3. The Standardization of Linear and Nonlinear Effects in Direct and Indirect Applications of Structural Equation Mixture Models for Normal and Nonnormal Data [J] . Holger Br, t, Nora Umbach, Frontiers in Psychology . 2015,第4期

机译：正态和非正态数据结构方程混合模型直接和间接应用中线性和非线性效应的标准化
4. Comparison of Dynamical Responses of an Offshore Riser with Linear and Nonlinear Structural Characteristics Through Nonlinear Normal Modes [C] . Keber, Marko, Wiercigroch, . 2007

机译：通过非线性正态模式比较具有线性和非线性结构特征的海上立管的动力响应
5. Model Correlation and Updating of Geometrically Nonlinear Structural Models Using Nonlinear Normal Modes and the Multi-Harmonic Balance Method [D] . Van Damme, Christopher I. 2019

机译：非线性正常模式与多谐波平衡法的几何非线性结构模型的模型相关性和更新
6. The Standardization of Linear and Nonlinear Effects in Direct and Indirect Applications of Structural Equation Mixture Models for Normal and Nonnormal Data [O] . Holger Brandt, Nora Umbach, Augustin Kelava -1

机译：正态和非正态数据的结构方程混合模型直接和间接应用中线性和非线性效应的标准化
7. NONLINEAR NORMAL MODES AND THEIR APPLICATION IN STRUCTURAL DYNAMICS [O] . Christophe Pierre, Dongying Jiang, Steven Shaw 2015

机译：非线性正态模型及其在结构动力学中的应用
8. Linear and Nonlinear Model Reduction in Structural Dynamics with Application toModel Updating [R] . Rhee, W. 2001

机译：结构动力学中的线性和非线性模型约简及其在模型修正中的应用

NONLINEAR NORMAL MODES AND THEIR APPLICATION IN STRUCTURAL DYNAMICS

摘要

著录项

相似文献

相关主题

期刊订阅