Analysis of MDOF nonlinear systems using associatedlinear equations

J.A. Vazquez Feijoo; rnK. Worden; rnP. Montes Garcia; rnL. Lagunez Rivera; rnN. Juarez Rodriguez; rnA. Pech Perez

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Analysis of MDOF nonlinear systems using associatedlinear equations

机译：使用关联的线性方程分析MDOF非线性系统

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摘要

Until now, the recently developed associated linear equations (ALEs) have been used for the analysis, identification and control of only single-degree-of-freedom (SDOF) systems. This form of the theory has proved adequate for the analysis of certain cases of interest in actuator/sensor technology; however, it is more common to find the multi-degree-of-freedom (MDOF) case in structural dynamics and this paper extends the theory of ALEs to this latter case.

机译：到目前为止，最近开发的关联线性方程式（ALE）已用于仅单自由度（SDOF）系统的分析，识别和控制。这种形式的理论已被证明足以分析致动器/传感器技术中的某些特定情况。然而，在结构动力学中发现多自由度（MDOF）情况更为普遍，本文将ALE的理论扩展到后一种情况。

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来源
《Mechanical systems and signal processing》 |2010年第8期|p.2824-2843|共20页
作者
J.A. Vazquez Feijoo; rnK. Worden; rnP. Montes Garcia; rnL. Lagunez Rivera; rnN. Juarez Rodriguez; rnA. Pech Perez;
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作者单位

Crupo de Procesos de Transformation de Recursos Naturales, Centro Interdisciplinary de Investigation para el Desarwllo Integral Regional, Instituto Politecnico National, Oaxaca, Mexico;

rnDynamics Research Croup, Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK;

rnCrupo de Procesos de Transformation de Recursos Naturales, Centro Interdisciplinary de Investigation para el Desarwllo Integral Regional, Instituto Politecnico National, Oaxaca, Mexico;

rnCrupo de Procesos de Transformation de Recursos Naturales, Centro Interdisciplinary de Investigation para el Desarwllo Integral Regional, Instituto Politecnico National, Oaxaca, Mexico;

rnCrupo Academico en Ing. Mecatronica, Instituto Tecnoldgico de Tuxtla Gutierrez, Chiapas, Mexico;

rnCrupo de Procesos de Transformation de Recursos Naturales, Centro Interdisciplinary de Investigation para el Desarwllo Integral Regional, Instituto Politecnico National, Oaxaca, Mexico;

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正文语种 eng
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关键词
volterra systems; multi-degree-of-freedom systems; nonlinear systems; associated linear equations; higher-order frequency response functions;

机译：沃尔泰拉系统;多自由度系统;非线性系统相关的线性方程;高阶频率响应函数;

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1. A novel modal superposition method with response dependent nonlinear modes for periodic vibration analysis of large MDOF nonlinear systems [J] . Erhan Ferhatoglu, Ender Cigeroglu, H. Nevzat Özgüven Mechanical systems and signal processing . 2020,第Jana期

机译：响应依赖非线性模式的新型模态叠加方法用于大型MDOF非线性系统的周期振动分析
2. Analysis of Locally Nonlinear MDOF Systems Using Nonlinear Output Frequency Response Functions [J] . Z. K. Peng, Z. Q. Lang, S. A. Billings Journal of Vibration and Acoustics . 2009,第5期

机译：基于非线性输出频率响应函数的局部非线性MDOF系统分析
3. Stochastic cumulant analysis of MDOF systems with polynomial-type nonlinearities [J] . C. Papadimitriou, L. D. Lutes Probabilistic engineering mechanics . 1996,第1期

机译：具有多项式非线性的MDOF系统的随机累积量分析
4. Identification of MDOF nonlinear systems using Associated Linear Equations (ALEs) part 1: Obtaining the ALEs from a MDOF continuous nonlinear system [C] . J. A. Vazquez Feijoo, K.Worden, R. Stanway 2002 international conference on noise and vibration engineering (ISMA2002) . 2002

机译：使用关联线性方程（ALE）识别MDOF非线性系统的第1部分：从MDOF连续非线性系统获得ALE
5. Branching Particle Systems, Stochastic Partial Differentiable Equations and Nonlinear Rough Path Analysis [D] . Xia, Panqiu. 2020

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6. Convolutionless Nakajima–Zwanzig equations for stochastic analysis in nonlinear dynamical systems [O] . D. Venturi, G. E. Karniadakis -1

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7. Identification of weak nonlinearities in MDOF systems based on reconstructed constant response tests [O] . Genbei Zhang, Chaoping Zang, Michael I. Friswell 2019

机译：基于重建恒定响应试验的MDOF系统弱非线性的识别
8. Qualitative Analysis of Certain Nonlinear Differential Equations: QuadraticSystems and Delay Equations (Kwalitatieve Analyse van Enkele Niet Lineaire Differentiaal Vergelijkingen: Kwadratische Systemen en Systemen met Tijdsvertraging) [R] . Huang, X. 1996

机译：某些非线性微分方程的定性分析：二次系统和延迟方程（Kwalitatieve analyze van Enkele Niet Lineaire Differentiaal Vergelijkingen：Kwadratische systemen en systemen met Tijdsvertraging）

Analysis of MDOF nonlinear systems using associatedlinear equations

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