A5044026089- Probabilistic and Robust Engineering Design
- stochastic dynamics and bifurcation
- Structural Health Monitoring Techniques
- Statistical Mechanics and Entropy
- Vibration and Dynamic Analysis
- Acoustic Wave Phenomena Research
- Wind and Air Flow Studies
- Wave and Wind Energy Systems
- Scientific Research and Discoveries
- Seismic and Structural Analysis of Tall Buildings
- Fractional Differential Equations Solutions
- Ship Hydrodynamics and Maneuverability
- Fluid Dynamics and Vibration Analysis
- Statistical Distribution Estimation and Applications
- Seismic Performance and Analysis
- Advanced Thermodynamics and Statistical Mechanics
- Coastal and Marine Dynamics
- Composite Structure Analysis and Optimization
- Geotechnical Engineering and Underground Structures
- Fluid Dynamics Simulations and Interactions
- Advanced Adaptive Filtering Techniques
- Fluid Dynamics and Turbulent Flows
- Chaos control and synchronization
- Elasticity and Wave Propagation
- Bladed Disk Vibration Dynamics
University of Macau
2014-2024
City University of Macau
2014-2019
Macau University of Science and Technology
1999-2000
American Society of Civil Engineers
1999
Southwest Jiaotong University
1999
Abstract In this paper, a new methodology is formulated for solving the reduced Fokker‐Planck (FP) equations in high dimensions based on idea that state space of large‐scale nonlinear stochastic dynamic system split into two subspaces. The FP equation relevant to then integrated over one joint probability density function variables another subspace with some techniques. Therefore, high‐dimensional low‐dimensional spaces, which are solvable exponential polynomial closure method. Numerical...
The state-space-split method for solving the Fokker-Planck-Kolmogorov equations in high dimensions is extended to generalized stochastic dynamical systems with a polynomial type of nonlinearity and excited by Poissonian white noise. probabilistic solution motion stretched Euler-Bernoulli beam cubic uniformly distributed noise analyzed presented procedure. numerical analysis shows that results obtained together exponential closure are close those Monte Carlo simulation when relative value...
The probability density function of the responses nonlinear random vibration a multi-degree-of-freedom system is formulated in defined domain as an exponential polynomials state variables. assumed to be governed by Fokker-Planck-Kolmogorov (FPK) equation. Special measure taken satisfy FPK equation average sense integration with and quadratic algebraic equations are obtained for determining unknown function. Two-degree-of-freedom systems analyzed proposed method validate systems. functions...
The multi-degree-of-freedom system is formulated from the typical problem of stretched nonlinear Euler-Bernoulli beam excited by filtered white noise. probabilistic solution stochastic dynamic systems similar to that and noise obtained state- space-split method exponential polynomial closure method. way for selecting sub-state vectors in procedure with state-space-split given discussed problem. state-space- split presented Numerical results are presented. compared those Monte Carlo...
The probabilistic solutions of the responses shallow cable are studied when is excited by filtered Gaussian white noise. nonlinear multi-degree-of-freedom system formulated which governs random vibration cable. state-space-split (SSS) method and exponential polynomial closure (EPC) adopted to analyze systems in order study effectiveness computational efficiency SSS-EPC procedure analyzing under excitation Numerical results obtained method, Monte Carlo simulation, equivalent linearization...