Meng‐Ze Lyu

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

Meng‐Ze Lyu, Jianbing Chen · Structural Safety · 2022 · 83 citations

Natural Sciences, Computational Engineering, Mathematics +12

A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method

Meng‐Ze Lyu, De‐Cheng Feng, Jianbing Chen et al. · Computer Methods in Applied Mechanics and Engineering · 2023 · 62 citations

Engineering, Systems Engineering, Dynamical Systems +15

First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation

Meng‐Ze Lyu, Jianbing Chen · Probabilistic Engineering Mechanics · 2021 · 52 citations

Natural Sciences, Mathematics, Computational Physics +12

Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation

Meng‐Ze Lyu, Jianbing Chen, Jiaxu Shen · Acta Mechanica · 2023 · 47 citations

Engineering, Civil Engineering, Earthquake Engineering +16

Globally-evolving-based generalized density evolution equation for nonlinear systems involving randomness from both system parameters and excitations

Jianbing Chen, Meng‐Ze Lyu · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2022 · 36 citations

Engineering, Mathematics, Systems Engineering +15