欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
提出了高斯白噪声激励的线性及非线性结构动力学系统的首次穿越失效概率的估计方法．对于线性结构动力学系统，失效区域被分解为互斥的基本失效域之和，每个基本失效域可用其设计点完全描述，并以正态分布代替卡方分布估计失效概率中的参数．对于非线性结构动力学系统，基于Rice穿越理论，将非线性方程转化为与之具有相同平均上穿率的线性化方程，然后利用文中方法对等效线性化方程估计首穿失效概率．最后给出了线性及非线性结构动力学系统的数值例子，并将所提方法与蒙特卡罗法及重要样本法相比较，模拟结果显示了方法的正确性与有效性．
英文摘要：
The first passage problems of linear and nonlinear dynamical systems excited by Gauss white noise are considered. For linear dynamical system, the failure domain can be described as a union of mutually exclusive events, and every event is completely described by a local design point. The paper uses standard Gaussian distribution instead of chi-square distribution to estimate the parameter of first passage probability. For nonlinear dynamical system, the equivalent linear system is carried out based on the out-crossing theory. The linearization principle is that nonlinear and linear systems have the same up-crossing rate for a specified threshold. Finally the paper gives two examples. The results show that the method of the paper suggested is correct and effective by comparing with the Monte Carlo method.
同期刊论文项目
同项目期刊论文
Parameter dependence of stochastic resonance in the FitzHugh-Nagumo neuron model driven by trichotom
Stochastic responses of viscoelastic system with real-power stiffness under randomly disordered peri
Response probability density functions of Duffing-Van der Pol vibro-impact system under correlated G
Stochastic responses of Duffing-Van der Pol vibro-impact system under additive colored noise excitat
Stochastic response of smooth and discontinuous oscillator under additive and multiplicative Poisson
Extinction Effects of Multiplicative Non-Gaussian Levy Noise in a Tumor Growth System with Immunizat
First-passage time statistics in a bistable system subject to Poisson white noise by the generalized
Principal resonance response of a stochastic elastic impact oscillator under nonlinear delayed state
Response of a Duffing-Rayleigh system with a fractional derivative under Gaussian white noise excita
Stationary response of nonlinear system with Caputo-type fractional derivative damping under Gaussia
Stochastic resonance in coupled underdamped bistable systems driven by symmetric trichotomous noises
Stochastic Response of a Vibro-Impact System by Path Integration Based on Generalized Cell Mapping M
Stationary response of strongly non-linear oscillator with fractional derivative damping under bound
Stochastic resonance in a bias monostable system driven by a periodic rectangular signal and uncorre
Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shall
Stochastic response of an axially moving viscoelastic beam with fractional order constitutive relati
Fluctuations induced extinction and stochastic resonance effect in a model of tumor growth with peri
Stochastic bifurcations in the SD (smooth and discontinuous) oscillator under bounded noise excitati
Global bifurcation analysis of Rayleigh-Duffing oscillator through the composite cell coordinate sys
Nonstationary probability densities of a class of nonlinear system excited by external colored noise
Melnikov chaos in Duffing-Rayleigh oscillator subjected to combined bounded noise and harmonic excit
First-passage failure of harmonically and stochastically excited Duffing oscillator with delayed fee
Feedback control of nonlinear stochastic systems for targeting a specified stationary probability de
Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems Under Poisson White Noise Excitation
Stochastic response of a oscillator subjected to combined harmonic and Poisson white noise excitatio
Asymptotic stability with probability one of MDOF nonlinear oscillators with fractional derivative d
Stabilization of Quasi Integrable Hamiltonian Systems With Fractional Derivative Damping by Using Fr
Stochastic averaging of n-dimensional non-linear dynamical systems subject to non-Gaussian wide-band
Stochastic fractional optimal control of quasi-integrable Hamiltonian system with fractional derivat
A bounded optimal control for maximizing the reliability of randomly excited nonlinear oscillators w
Design of feedback control of a nonlinear stochastic system for targeting a pre-specified stationary
Control of stationary probability density of nonlinear systems subject to Poisson white noise excita
Robustness of feedback stabilization of quasi non-integrable Hamiltonian systems with parametric unc
A minimax stochastic optimal semi-active control strategy for uncertain quasi-integrable Hamiltonian
A semi-analytical direct optimal control solution for strongly excited and dissipative Hamiltonian s
Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary pertur
Stochastic Hopf bifurcation of quasi-integrable Hamiltonian systems with multi-time-delayed feedback
Stochastic Hopf bifurcation of quasi-integrable Hamiltonian systems with fractional derivative dampi
Stochastic stability of the harmonically and randomly excited Duffing oscillator with damping modele
Stochastic jump and bifurcation of Duffing oscillator with fractional derivative damping under combi
期刊信息
位置：