In this second edition a new chapter has been added covering the buffeting theory in a finite element format. The motivation for this has been that a finite element format is becoming more and more dominant in all areas of structural mechanics. It is streamlined for computer programming, and it facilitates the use of general purpose routines that are applicable in several types of structural engineering problems. In this book the finite element formulation of the problem of dynamic response calculations follows the general principle of virtual work, a general principle which may be found in many other text books. While the buffeting wind load itself has with no trouble been included in a finite element format, the main challenge has been to obtain a consistent formulation that includes all the relevant motion induced forces. This has been important, because, while many structures (e.g. long-span suspension bridges) may suffer greatly and become unstable at high wind velocities, the same structures may also benefit from these effects at the design wind velocity. It is well known that motion induced forces will change the stiffness and damping properties of the combined structure and flow system. If calculations are performed for a suitably close set of increasing mean wind velocities and the changing mechanical properties (stiffness and damping) are updated from one velocity to the next, then the response of the system may be followed up to wind velocities close to the stability limit, i.e. up to response values that are perceived as unduly large. Finite element calculations may be performed in time domain, in frequency domain or converted into a modal format. All these options have been included. Pursuing a time domain solution strategy requires the use of the so-called indicial functions. The theory behind such a formulation is also covered, and the determination of these functions from aerodynamic derivatives has been included in a separate appendix.
Unlock the secrets of bridge stability in high winds with the definitive resource, *Theory of Bridge Aerodynamics, 2nd Edition* by Einar Strmmen. This comprehensive hardcover, published by Springer in 2010, delves into the complex interplay between structural mechanics and fluid dynamics, offering engineers and students a robust understanding of bridge behavior under aerodynamic loads. Spanning 323 pages, this second edition significantly expands on the original, notably with a groundbreaking chapter dedicated to buffeting theory formulated within a finite element framework. Strmmen's expertise shines through as he navigates the challenges of predicting and mitigating wind-induced instability in long-span bridges and other critical structures. Recognizing the increasing dominance of finite element methods in structural analysis, the book provides a streamlined approach to computer programming, facilitating the use of general-purpose routines applicable across various structural engineering problems. This edition distinguishes itself by offering a consistent and comprehensive formulation that incorporates all relevant motion-induced forces. It addresses a crucial aspect often overlooked: that while high winds can destabilize structures, these same forces can also be beneficial at design wind velocities, altering stiffness and damping properties. Strmmen meticulously guides the reader through calculating these effects, enabling engineers to update mechanical properties iteratively across increasing wind speeds, thereby tracking system response up to near-stability limits. The book meticulously explores time domain, frequency domain, and modal format options for finite element calculations. A deep dive into indicial functions is provided, crucial for time-domain solutions, with a separate appendix detailing their determination from aerodynamic derivatives. Beyond the technical depth, *Theory of Bridge Aerodynamics* provides practical applications and insights. Readers gain access to the knowledge needed to perform accurate dynamic response calculations and understand the phenomena that can lead to catastrophic failures or enhance structural performance. The book bridges the gap between theoretical understanding and real-world application, preparing engineers to design safer and more resilient bridges. Whether you are a practicing civil or mechanical engineer, a researcher in applied mechanics, or a student seeking a comprehensive understanding of bridge aerodynamics, this book is an indispensable resource. Its rigorous treatment of engineering mathematics ensures clarity and precision, making complex concepts accessible. The weight of the book is about 1010 grams, which hints at the richness of the content contained within. Invest in your knowledge and ensure structural integrity with *Theory of Bridge Aerodynamics*.