Abstract: New methods of analysis are developed to study characteristics of the response of linear systems to nonstationary stochastic input. An envelope of the response based on the Hilbert transformation of the process is used, ...

Abstract: In the companion paper new methods were developed to obtain exact and approximate second‐order statistics of the response of linear systems to modulated white‐noise excitation. In this paper the methods are used to evaluate ...

Abstract: Dynamic analysis of primary‐secondary systems with consideration of inelastic response has recently become an important issue in the design of civil engineering structures. The purpose of this paper is to develop a fundamental ...

Abstract: The response statistics are examined for linear structures subjected to nonstationary stochastic input. Modal expansions are used and attention is on the mean square, mean zero‐upcrossing rate, and bandwidth of the response. ...

Abstract: A two‐degree‐of‐freedom equipment‐structure system is studied to find its intrinsic properties which are needed for analysis of more general secondary systems. Perturbation theory is used to find closed form expressions ...

Abstract: An accurate and efficient method for analysis of multiply supported, multi‐degree‐of‐freedom secondary systems is developed. The method accounts for the effects of tuning, interaction, nonclassical damping, and spatial ...

Abstract: An efficient and accurate method is presented for dynamic analysis of tertiary subsystems mounted on primary‐secondary systems, such as control devices attached to piping in nuclear power plants. Modal properties, such as ...

Abstract: The reliability of structural systems with time‐invariant, uncertain parameters subjected to stochastic excitation is investigated. The properties of the system, such as stiffness, mass, and damping, are uncertain, and are ...