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Titlebook: Dynamic Analysis of Non-Linear Structures by the Method of Statistical Quadratization; M. G. Donley,P. D. Spanos Book 1990 Springer-Verlag

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0176-5035 ns of these systems can be quite large. The low natural frequency characteristic of compliant systems creates new analytical challenges for engineers. This is b978-3-540-52743-5978-3-642-46715-8Series ISSN 0176-5035
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Summary and Conclusions,pe nonlinearities. The results are compared to simulation to verify their reliability. The proposed method offers a notable improvement over linearization when the nonlinearity is non-symmetric and the excitation frequencies are banded in a range outside the natural frequency of the system. In this
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Book 1990 of a compliant platfonn is achieved by designing systems which inherently have low stiffness. Consequently, the maximum horizontal excursions of these systems can be quite large. The low natural frequency characteristic of compliant systems creates new analytical challenges for engineers. This is b
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Equivalent Stochastic Quadratization for Single-Degree-of-Freedom Systems,nlinear systems. This method was introduced by Krylov and Bogoliubov(1947) for nonlinear systems subject to deterministic excitation. It was first applied to nonlinear stationary systems with random excitations by Booton(1954) and later Caughey(1963). Later investigators generalized the method to mu
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Equivalent Stochastic Quadratization for Multi-Degree-of-Freedom Systems,of-freedom systems. The method is first developed for a system with a general nonlinearity. The computational effort involved in analyzing this kind of system, however, can be quite expensive. Therefore, a simplified version of the method is also developed for systems which have simpler nonlineariti
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