Supervisor: Prof. Dr.-Ing. Michael Beer

Keywords: stochastic dynamics, singular matrices, combined excitation, statistical linearization, stochastic averaging, vibration energy harvester, design spectrum, fractional derivative elements, incremental dynamics analysis, imprecise probability, first-excursion probability, interval stochastic process

The determination of response statistics of multi-degree-of-freedom nonlinear systems with singular matrices subject to combined deterministic and stochastic excitations. The application of the proposed method in piezoelectric vibration energy harvesting devices. Code-compliant stochastic dynamic analysis of nonlinear structural systems with fractional derivative elements. Stochastic incremental dynamical analysis for nonlinear structural systems with fractional derivative elements exposed to stochastic excitations aligned with contemporary aseismic codes. First excursion probability of nonlinear dynamic systems subject to imprecisely defined stochastic Gaussian loads.

More information on Peihua's work:

References:

• Ni, Peihua: Response statistics and failure probability determination of nonlinear stochastic structural dynamical system. Hannover : Gottfried Wilhelm Leibniz Universität, Diss., 2023, xiii, 244 S., DOI: https://doi.org/10.15488/14599,
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