THE STEADY-STATE RESPONSE OF A CLASS OF DYNAMICAL-SYSTEMS TO STOCHASTIC EXCITATION

被引:35
|
作者
CAUGHEY, TK
MA, F
机构
[1] California Institute of Technology, Pasadena, CA, 91125, United States
关键词
Excited states - Dynamical systems - Probability density function - Gas turbines - Stochastic systems;
D O I
10.1115/1.3162538
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper a class of coupled nonlinear dynamical systems subjected to stochastic excitation is considered. It is shown how the exact steady-state probability density function for this class of systems can be constructed. The result is then applied to some classical oscillator problems. © 1982 by ASME.
引用
收藏
页码:629 / 632
页数:4
相关论文
共 50 条
  • [21] STEADY-STATE RESPONSE OF LINEAR STATIONARY SYSTEMS
    ROBINSON, P
    PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1966, 54 (08): : 1116 - &
  • [22] Steady-state frequency response for periodic systems
    Sule, VR
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (01): : 1 - 20
  • [23] STEADY-STATE RESPONSE OF SYSTEMS WITH HARDENING HYSTERESIS
    MILLER, RK
    MECHANICAL ENGINEERING, 1978, 100 (01) : 109 - 109
  • [24] Comment on "Adaptive steady-state stabilization for nonlinear dynamical systems"
    Lin, Wei
    PHYSICAL REVIEW E, 2010, 81 (03):
  • [25] STEADY-STATE RESPONSE TO PERIODIC EXCITATION IN FRACTIONAL VIBRATION SYSTEM
    Huang, C.
    Duan, J. -S.
    JOURNAL OF MECHANICS, 2016, 32 (01) : 25 - 33
  • [26] Steady-state response of fractional vibration system with harmonic excitation
    Huang, Can
    Duan, Jun-Sheng
    PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON MECHANICS AND MECHATRONICS (ICMM 2015), 2016, : 267 - 275
  • [27] STOCHASTIC STABILITY IN SOME CHAOTIC DYNAMICAL-SYSTEMS
    KELLER, G
    MONATSHEFTE FUR MATHEMATIK, 1982, 94 (04): : 313 - 333
  • [28] Steady-State Optimal State and Input Observer for Discrete Stochastic Systems
    Park, Y.
    Stein, J. L.
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1989, 111 (02): : 121 - 127
  • [29] BIFURCATIONS IN STOCHASTIC DYNAMICAL-SYSTEMS WITH SIMPLE SINGULARITIES
    JANECZKO, S
    WAJNRYB, E
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1989, 31 (01) : 71 - 88
  • [30] ELECTRICAL DESIGN AND STEADY-STATE PERFORMANCE OF GENERREX EXCITATION SYSTEMS
    COTZAS, GM
    HESSE, MH
    LANE, LJ
    IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1979, 98 (06): : 2251 - 2261