Stochastic Dynamics of Structures

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

在《結構隨機動力學》一書中，李和陳提出了結構隨機動力學分析、可靠性預測和系統控制的理論和技術的統一觀點，並在物理隨機系統的創新理論框架下進行了介紹。作者概述了隨機變量、隨機過程和隨機場的基本概念，以及隨機函數的正交展開。讀者將深入了解結構典型動力激勵的隨機過程模型、隨機有限元和隨機振動分析等核心概念。李和陳還涵蓋了高級主題，包括概率密度演化分析隨機動力系統的理論和詳細數值方法、基於可靠性的設計和結構性能控制。《結構隨機動力學》提供了研究人員和研究生在各種工程領域的技術，包括土木工程、機械工程、航空航天、海洋和離岸工程、船舶工程和應用力學。實踐工程師將受益於對隨機振動理論的簡明回顧以及後面章節中介紹的新方法。

「這本書對結構隨機動力學領域的持續發展做出了寶貴的貢獻，包括作者對概率密度演化方法（PDEM）及其在評估複雜結構的動態可靠性和控制方面的應用的最新發現和發展。」
— A. H-S. Ang, NAE, Hon. Mem. ASCE, 加州大學爾灣分校研究教授，美國

「作者們努力呈現了一個負責任且全面的現代隨機動力學描述。除了傳統概念外，他們還討論了最近流行的理論工具，如Karhunen-Loeve展開、演化功率譜等。理論發展得到了地震、風和海洋工程的實例補充。該書還包括幾個有用的附錄和詳盡的參考文獻列表；對於在該主題領域進行研究和實踐的學生、研究人員和從業人員來說，它將是一個不可或缺的工具。」
— Pol Spanos, NAE, Ryon Chair in Engineering, 萊斯大學，休士頓，美國