朱位秋论文选集 内容简介

　　《朱位秋论文选集（英文版）/中国科学院院士文集》精选了朱位秋先生的近四十篇代表性论文，所涉及的研究历程主要分为如下两个阶段。　　二十世纪八十年代，朱先生及其合作者将标量随机场的局部平均理论推广于矢量随机场，提出了基于矢量随机场局部平均的随机有限元法；提出将随机载荷作用下结构疲劳破坏看成疲劳累积损伤的首次穿越问题和随机载荷作用下的疲劳裂纹尺寸的首次穿越问题，得到随机载荷作用下结构的可靠性和疲劳寿命的概率密度等。　　《朱位秋论文选集（英文版）/中国科学院院士文集》较为系统地汇总了朱位秋先生长期从事随机动力学与控制研究过程中所形成的学术思想和取得的学术成果。

朱位秋论文选集 目录

1 综述
Random vibration： a survey of recent developments
Stochastic averaging methods in random vibration
Recent developments and applications of the stochastic averaging method in random vibration
Nonlinear stochastic dynamics and control in Hamiltonian formulation

2 精确平稳解
On exact stationary solutions of stochastically perturbed Hamiltonian systems
Exact stationary solutions of stochastically excited and dissipated integrable Hamiltonian systems
Exact stationary solutions of stochastically excited and dissipated partially integrable Hamiltonian systems
Exact stationary solutions of stochastically excited and dissipated gyroscopic systems

3 等效非线性系统法
The equivalent non-linear system method
Equivalent nonlinear system method for stochastically excited and dissipated integrable Hamiltonian systems
Equivalent non-linear system method for stochastically excited and dissipated partially integrable Hamiltonian systems

4 随机平均法
Stochastic averaging of quasi-nonintegrable-Hamiltonian systems
Stochastic averaging of quasi-integrable Hamiltonian systems
Response and stability of strongly non-linear oscillators under wide-band random excitation
Stochastic averaging of quasi-generalized Hamiltonian systems
Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations
Stochastic averaging of quasi-nonintegrable-Hamiltonian systems under Poisson white noise excitation
Stochastic averaging of quasi-non-integrable Hamiltonian systems under fractional Gaussian noise excitation

5 随机稳定性与随机分岔
Stochastic stability of quasi-non-integrable-Hamiltonian systems
Lyapunov exponents and stochastic stability of quasi-integrable-Hamiltonian systems
Stochastic jump and bifurcation of a duffing oscillator under narrow-band excitation
Stochastic Hopfbifurcation ofquasi-nonintegrable-Hamiltonian systems
Effect of bounded noise on chaotic motion of duffing oscillator under parametric excitation

6 可靠性
First-passage failure of quasi-non-integrable-Hamiltonian systems
First-passage failure of quasi-integrable Hamiltonian systems
A stochastic theory of cumulative fatigue damage
On fatigue crack growth under random loading

7 随机*优控制
An optimal nonlinear feedback control strategy for randomly excited structural systems
Feedback stabilization of quasi-integrable Hamiltonian systems
Stabilization of quasi integrable Hamiltonian systems with fractional derivative damping by using fractional optimal control
First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems
Feedback control of nonlinear stochastic systems for targeting a specified stationary probability density
A stochastic optimal semi-active control strategy for ER/MR dampers
A stochastically averaged optimal control strategy for quasi-Hamiltonian systems with actuator saturation
Asymptotic Lyapunov stability with probability one of quasi-integrable Hamiltonian systems with delayed feedback control
A stochastic optimal control strategy for partially observable nonlinear quasi-Hamiltonian systems
Stochastic minimax control for stabilizing uncertain quasi-integrable Hamiltonian systems

8 其他
Stochastic FEM based on local averages of random vector fields
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