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RISStochastic Averaging Methods in Random Vibration
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A survey of stochastic averaging methods in random vibration is given. After a brief introduction to the basic ideas, the advantages and the history of the methods, three kinds of stochastic ...
Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The significant advances in nonlinear stochastic dynamics and control in Hamiltonian formulation during the past decade are reviewed. The exact stationary solutions and equivalent nonlinear system ...
Equivalent Nonlinear System Method for Stochastically Excited and Dissipated Integrable Hamiltonian Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An equivalent nonlinear system method is proposed to obtain the approximate probability density for the stationary response of multi-degree-of-freedom integrable Hamiltonian systems with linear and ...
Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stationary response of multi-degree-of-freedom dissipated Hamiltonian systems to random pulse trains is studied. The random pulse trains are modeled as Poisson white noises. The approximate ...
Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems Under Poisson White Noise Excitation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A stochastic averaging method for predicting the response of multi-degree-of-freedom quasi-nonintegrable-Hamiltonian systems (nonintegrable-Hamiltonian systems with lightly linear and (or) nonlinear ...
Safety Assessment of Antiliquefaction Performance of a Constructed Reservoir Embankment. II: Numerical Assessment
Publisher: American Society of Civil Engineers
Abstract: This study focuses on the safety assessment of antiliquefaction performance of an embankment of a reservoir, which is an important infrastructure located in Shanghai, China. The performance-based design (PBD) philosophy ...
Safety Assessment of Antiliquefaction Performance of a Constructed Reservoir Embankment. I: Experimental Assessment
Publisher: American Society of Civil Engineers
Abstract: Earthquake-induced liquefaction is a major threat to the safety of earth embankments. This paper presents an experiment-based safety assessment of antiliquefaction performance of a constructed reservoir embankment. This ...
Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: It is shown that the structure and property of the exact stationary solution of a stochastically excited and dissipated n -degree-of-freedom Hamiltonian system depend upon the integrability and ...
Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The averaged equations of integrable and nonresonant Hamiltonian systems of multi-degree-of-freedom subject to light damping and real noise excitations of small intensities are first derived. Then, ...
Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A stochastic averaging method is proposed to predict approximately the response of multi-degree-of-freedom quasi-nonintegrable-Hamiltonian systems (nonintegrable Hamiltonian systems with lightly linear ...