Path integral solution of vibratory energy harvesting systems

DOI10.1007/S10483-019-2467-8zbMath1416.70016OpenAlexW2905681105WikidataQ128777031 ScholiaQ128777031MaRDI QIDQ2313235

Yanyan Li

Publication date: 18 July 2019

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-019-2467-8

zbMATH Keywords

path integrationprobability density function (PDF)nonlinear energy harvester

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fokker-Planck equations (35Q84)

Related Items (6)

Nonlinear dynamics and performance analysis of modified snap-through vibration energy harvester with time-varying potential function ⋮ Probabilistic response and performance predict of nonlinear vibration energy harvesting systems based on partial information ⋮ Probabilistic solutions of a variable-mass system under random excitations ⋮ Novel method for random vibration analysis of single-degree-of-freedom vibroimpact systems with bilateral barriers ⋮ Approximate Fokker–Planck–Kolmo-gorov equation analysis for asymmetric multistable energy harvesters excited by white noise ⋮ Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise

Cites Work

• Modeling and analysis of piezoelectric beam with periodically variable cross-sections for vibration energy harvesting
• A path integration algorithm for stochastic structural dynamic systems
• Numerical path integration of a non-homogeneous Markov process
• Response probability density functions of strongly non-linear systems by the path integration method
• A new path integration procedure based on Gauss-Legendre scheme
• Probabilistic response analysis of nonlinear vibration energy harvesting system driven by Gaussian colored noise
• Probabilistic response of nonsmooth nonlinear systems under Gaussian white noise excitations
• Study of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations by path integration
• Estimation of Critical Conditions for Noise-Induced Bifurcation in Nonautonomous Nonlinear Systems by Stochastic Sensitivity Function
• A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis
• A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part II: Examples of Application

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