Stochastic Dynamics of Structures

Stochastic Dynamics of Structures presents 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. Li and Chen first outline the basic concepts of random variable, stochastic processes and random field, and orthogonal expansion of random functions. The authors then elaborate on other core concepts, such as stochastic process models for typical dynamic excitations of structures as well as response analysis of deterministic structures subjected to stochastic dynamic excitations. The later chapters cover more advanced topics, including probability density evolution analysis of stochastic dynamical systems, reliability-based design and performance control of structures, and classical dynamic control of structures. Features methodologies for all linear or nonlinear systems Provides methods to analyze nonlinear multi-degree-of-freedom systems Introduces new methodologies, such as probability density evolution (PDE) analysis Numerical methods for solving the corresponding PDE Applications to reliability and control Self contained - can be used for a full course or for independent study Companion website with code downloads

Jie Li is a Professor of Civil Engineering at Tongji University, specializing in the area of earthquake engineering and stochastic mechanics. He has worked on uncertainty quantification, response analysis, and reliability evaluation of structural systems involving randomness -- integrating both for system parameters and excitations -- for more than 15 years. He has authored six monographs and published over 200 papers in peer reviewed journals. Li holds executive positions in China's major architectural, vibration engineering, and disaster prevention societies and laboratories. He is the Editor-in-Chief of the Journal of Tongji University (Natural Science Series) and is on the editorial board of over 10 international and Chinese journals, including the International Journal of Nonlinear Mechanics and Earthquake Engineering and Engineering Vibrations. He has received a variety of national and provincial-level awards for Advancement in Science and Technology. Li holds a Ph.D. in Civil Engineering from Tongji University.

Jianbing Chen is an Associate Professor of Civil Engineering at Tongji University and serves at the State Key Laboratory in Disaster Reduction in Civil Engineering. He specializes in earthquake engineering and stochastic mechanics. Awards include the MOE's National Science Award, National Excellent Doctoral Thesis, Shanghai City's Excellent Young Teacher Award, and acceptance into the MOE's Excellent Scholars Program. He holds a B.S. from Northeastern University and a Ph.D. from Tongji University, both in Civil Engineering.