Stochastic Dynamics of Structures (PDF)

In Stochastic Dynamics of Structures, Li and Chen present a
unified view of the theory and techniques for stochastic dynamics
analysis, prediction of reliability, and system control of
structures within the innovative theoretical framework of physical
stochastic systems. The authors outline the fundamental concepts of
random variables, stochastic process and random field, and
orthogonal expansion of random functions. Readers will gain insight
into core concepts such as stochastic process models for typical
dynamic excitations of structures, stochastic finite element, and
random vibration analysis. Li and Chen also cover advanced topics,
including the theory of and elaborate numerical methods for
probability density evolution analysis of stochastic dynamical
systems, reliability-based design, and performance control of
structures.

Stochastic Dynamics of Structures presents techniques for
researchers and graduate students in a wide variety of engineering
fields: civil engineering, mechanical engineering, aerospace and
aeronautics, marine and offshore engineering, ship engineering, and
applied mechanics. Practicing engineers will benefit from the
concise review of random vibration theory and the new methods
introduced in the later chapters.

"The book is a valuable contribution to the continuing
development of the field of stochastic structural dynamics,
including the recent discoveries and developments by the authors of
the probability density evolution method (PDEM) and its
applications to the assessment of the dynamic reliability and
control of complex structures through the equivalent extreme-value
distribution."

--A. H-S. Ang, NAE, Hon. Mem. ASCE, Research Professor,
University of California, Irvine, USA

"The authors have made a concerted effort to present a
responsible and even holistic account of modern stochastic
dynamics. Beyond the traditional concepts, they also discuss
theoretical tools of recent currency such as the Karhunen-Loeve
expansion, evolutionary power spectra, etc. The theoretical
developments are properly supplemented by examples from earthquake,
wind, and ocean engineering. The book is integrated by also
comprising several useful appendices, and an exhaustive list of
references; it will be an indispensable tool for students,
researchers, and practitioners endeavoring in its thematic
field."

--Pol Spanos, NAE, Ryon Chair in Engineering, Rice
University, Houston, USA