Add to ORKGThe Lyapunov exponent and moment Lyapunov exponents of two degrees-of-freedom linear systems subjected to white noise parametric excitation are investigated. The method of regular perturbation is used to determine the explicit asymptotic expressions for these exponents in the presence of small intensity noises. The Lyapunov exponent and mo-ment Lyapunov exponents are important characteristics for determining the almost-sure and moment stability of a stochastic dynamic system. As an example, we study the almost-sure and moment stability of a thin-walled beam subjected to an eccentric stochastic axial load. The validity of the approximate results for moment Lyapunov exponents is checked by the numerical Monte Carlo simulation method for this ...
The dynamic stability of a two-dimensional system under bounded noise excitation with a narrow band ...
Much effort has been devoted to the stability analysis of stationary points for linear autonomous sy...
The stability and bifurcation behavior of mechanical systems parametrically excited by small periodi...
In this paper, the Lyapunov exponent and moment Lyapunov exponents of two degrees-of-freedom linear ...
AbstractThe Lyapunov exponent and moment Lyapunov exponents of two degrees-of-freedom linear systems...
AbstractThe Lyapunov exponent and moment Lyapunov exponents of Hill’s equation with frequency and da...
The moment stochastic stability and almost-sure stochastic stability of two-degree-of-freedom couple...
AbstractThe transverse vibrations of an Euler–Bernoulli beam with axial tension P and axial white no...
The dynamic stability problem of the thin-walled beams subjected to end moments is studied. Each mom...
Two numerical methods for the determination of the pth moment Lyapunov exponents of a two-dimensiona...
Nonviscously damped structural system has been raised in many engineering fields, in which the dampi...
fi nite elements method, probability theory, M onte C arlo simulation ABSTRACT: This paper shows an ...
This paper investigates the almost-sure and moment stability of a double nanobeam system under stoch...
The paper analyzes a stochastic stability problem of a multi-nanobeam system subjected to compressiv...
Dynamic stability of elastic and viscoelastic mechanical systems and nanostructures under the influe...
The dynamic stability of a two-dimensional system under bounded noise excitation with a narrow band ...
Much effort has been devoted to the stability analysis of stationary points for linear autonomous sy...
The stability and bifurcation behavior of mechanical systems parametrically excited by small periodi...
In this paper, the Lyapunov exponent and moment Lyapunov exponents of two degrees-of-freedom linear ...
AbstractThe Lyapunov exponent and moment Lyapunov exponents of two degrees-of-freedom linear systems...
AbstractThe Lyapunov exponent and moment Lyapunov exponents of Hill’s equation with frequency and da...
The moment stochastic stability and almost-sure stochastic stability of two-degree-of-freedom couple...
AbstractThe transverse vibrations of an Euler–Bernoulli beam with axial tension P and axial white no...
The dynamic stability problem of the thin-walled beams subjected to end moments is studied. Each mom...
Two numerical methods for the determination of the pth moment Lyapunov exponents of a two-dimensiona...
Nonviscously damped structural system has been raised in many engineering fields, in which the dampi...
fi nite elements method, probability theory, M onte C arlo simulation ABSTRACT: This paper shows an ...
This paper investigates the almost-sure and moment stability of a double nanobeam system under stoch...
The paper analyzes a stochastic stability problem of a multi-nanobeam system subjected to compressiv...
Dynamic stability of elastic and viscoelastic mechanical systems and nanostructures under the influe...
The dynamic stability of a two-dimensional system under bounded noise excitation with a narrow band ...
Much effort has been devoted to the stability analysis of stationary points for linear autonomous sy...
The stability and bifurcation behavior of mechanical systems parametrically excited by small periodi...