Characterization of Frequency Response Functions for Nonlinear Convergent Systems

被引:1
|
作者
Alcorta-Garcia, E. [1 ]
Rodriguez-Alfaro, L. H. [1 ]
Diaz-Romero, D. A. [1 ]
Posadas-Castillo, C. [1 ]
机构
[1] Autonomous Univ Nuevo Leon, Fac Mech & Elect Engn, San Nicolas De Los Garza, Mexico
关键词
D O I
10.1109/SYSTOL.2010.5676016
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The characterization of frequency response functions for convergent systems is considered in this paper. Besides a couple of approaches available in the literature, this paper is focused on the frequency response function proposed recently for a class of non-linear systems which are called convergent. Using some properties of convergent systems a characterization of a frequency response function based on Fourier series is obtained. This result expands a known result from linear to nonlinear systems and complements the existing results about frequency response functions of nonlinear systems. An example is utilized to show the proposed approach.
引用
收藏
页码:630 / 635
页数:6
相关论文
共 50 条
  • [41] Frequency response functions: Validity and usefulness in nonlinear system identification
    Tomlinson, GR
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2001, 81 : S119 - S120
  • [42] Estimation of Nonlinear Contributions in Human Controller Frequency Response Functions
    Wagenaar, Saskia E.
    Pool, Daan M.
    Damveld, Herman J.
    van Paassen, Marinus M.
    Mulder, Max
    2018 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2018, : 3434 - 3439
  • [43] Crack detection using nonlinear output frequency response functions
    Peng, Z. K.
    Lang, Z. Q.
    Billings, S. A.
    JOURNAL OF SOUND AND VIBRATION, 2007, 301 (3-5) : 777 - 788
  • [44] A new method for the accurate measurement of higher-order frequency response functions of nonlinear structural systems
    Lin, R. M.
    Ng, T. Y.
    ISA TRANSACTIONS, 2018, 81 : 270 - 285
  • [45] Fault diagnosis of rotor systems with breathing slant cracks based on nonlinear output frequency response functions
    Li, Zhi-nong
    Li, Yun-long
    Xia, Heng-heng
    Chen, Shi-yao
    Wang, Fei
    JOURNAL OF VIBRATION AND CONTROL, 2024, 30 (21-22) : 4752 - 4763
  • [46] UNWRAPPING THE PHASE RESPONSE FUNCTIONS FOR NONLINEAR-SYSTEMS
    ZHANG, H
    BILLINGS, SA
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1995, 9 (06) : 657 - 673
  • [47] Response and correlation functions of nonlinear systems in equilibrium states
    Xu, Lubo
    Wang, Lei
    PHYSICAL REVIEW E, 2017, 96 (05)
  • [48] Linear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions
    Peng, Z. K.
    Lang, Z. Q.
    Billings, S. A.
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2007, 21 (08) : 3108 - 3122
  • [49] Output frequency response function of nonlinear Volterra systems
    Lang, Z. Q.
    Billings, S. A.
    Yue, R.
    Li, J.
    AUTOMATICA, 2007, 43 (05) : 805 - 816
  • [50] FREQUENCY RESPONSE OF PIEZOELECTRIC AND MAGNETOSTRICTIVE HYSTERETIC NONLINEAR SYSTEMS
    Stuebner, Michael
    Atulasimha, Jayasimha
    Smith, Ralph C.
    SMASIS2008: PROCEEDINGS OF THE ASME CONFERENCE ON SMART MATERIALS, ADAPTIVE STRUCTURES AND INTELLIGENT SYSTEMS - 2008, VOL 1, 2009, : 559 - 566