/DR-PDEE-MATLAB

A Matlab toolbox for stochastic response analysis by DR-PDEE/GE-GDEE

Primary LanguageMATLABGNU General Public License v3.0GPL-3.0

DR-PDEE-MATLAB

A Matlab toolbox for stochastic response analysis by DR-PDEE/GE-GDEE

References:

  1. Chen JB, Lyu MZ, 2022. "Globally-evolving-based generalized density evolution equation for nonlinear systems involving randomness from both system parameters and excitations." Proceedings of the Royal Society A - Mathematical Physical & Engineering Sciences, 478 (2264): 20220356.
  2. Luo Y, Chen JB, Spanos PD, 2022. "Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure." Probabilistic Engineering Mechanics, 67: 103197.
  3. Luo Y, Spanos PD, Chen JB, 2022. "Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE." International Journal of Non-Linear Mechanics, 147: 104247.
  4. Luo Y, Lyu MZ, Chen JB, Spanos PD, 2023. "Equation governing the probability density evolution of multi-dimensional linear fractional differential systems subject to Gaussian white noise." Theoretical & Applied Mechanics Letters, 13: 100436.
  5. Lyu MZ, Chen JB, 2022. "A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations." Structural Safety, 98: 102233.
  6. Lyu MZ, Chen JB, Shen JX, 2023. "Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation." Acta Mechanica (online).
  7. Sun TT, Chen JB, 2022. "Physically driven exact dimension-reduction of a class of nonlinear multi-dimensional systems subjected to additive white noise." Journal of Risk & Uncertainty in Engineering Systems, Part A - Civil Engineering, 8 (2): 04022012.
  8. 律梦泽, 2022. "高维随机动力系统响应和可靠度分析的广义概率密度全局演化方程." 博士学位论文. 导师: 陈建兵. 上海: 同济大学.