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Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume
This book is a collection of papers on the subject of nonlinear dynamics and its applications written by experts in this field. It offers the reader a sampling of exciting research areas in this fast-growing field. The topics covered include chaos, tools to analyze motions, fractal boundaries, dynamics of the Fitzhugh-Nagumo equation, structural control, separation of contaminations from signal of interest, parametric excitation, stochastic bifurcation, mode localization in repetitive structures, Toda lattice, transition from soliton to chaotic motion, nonlinear normal modes, noise perturbations of nonlinear dynamical systems, and phase locking of coupled limit cycle oscillators. Mathematica...
Nonconservative Stability Problems of Modern Physics
This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.
Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems
The functionality of modern structural, mechanical and electrical or electronic systems depends on their ability to perform under uncertain conditions. Consideration of uncertainties and their effect on system behavior is an essential and integral part of defining systems. In eleven chapters, leading experts present an overview of the current state of uncertainty modeling, analysis and design of large systems in four major areas: finite and boundary element methods (common structural analysis techniques), fatigue, stability analysis, and fault-tolerant systems. The content of this book is unique; it describes exciting research developments and challenges in emerging areas, and provide a sophisticated toolbox for tackling uncertainty modeling in real systems.
Structronic Systems: Systems and control
Pt. 1. Materials and structures. ch. 1. The piezoelectric vibration absorber systems / Joseph Hollkamp and Thomas Starchville, Jr. -- ch. 2. Self-sensing control applied to smart material systems / Ephrahim Garcia and Lowell Dale Jones -- ch. 3. An introduction to active constrained layer damping treatments / Steve Shen -- ch. 4. Static and dynamic behavior of adaptive wings carrying externally mounted stores / Liviu Librescu and Ohseop Song -- ch. 5. Adaptive design and active composite material systems / Junji Tani and Jinhao Qiu -- ch. 6. Microelectromechanics and functionality of segmented cylindrical transducers / Horn-Sen Tzou, Yumin Bao and V.B. Venkayya -- ch. 7. Thermomechanical mod...
Structronic Systems: Materials and structures
Pt. 1. Materials and structures. ch. 1. The piezoelectric vibration absorber systems / Joseph Hollkamp and Thomas Starchville, Jr. -- ch. 2. Self-sensing control applied to smart material systems / Ephrahim Garcia and Lowell Dale Jones -- ch. 3. An introduction to active constrained layer damping treatments / Steve Shen -- ch. 4. Static and dynamic behavior of adaptive wings carrying externally mounted stores / Liviu Librescu and Ohseop Song -- ch. 5. Adaptive design and active composite material systems / Junji Tani and Jinhao Qiu -- ch. 6. Microelectromechanics and functionality of segmented cylindrical transducers / Horn-Sen Tzou, Yumin Bao and V.B. Venkayya -- ch. 7. Thermomechanical mod...
Architectural Technicities
This book poses a simple question: how is this architecture possible? To respond, it will embark on a captivating journey through many singular architectural concepts. The entasis of Doric columns, Ulysses and desert islands will outline an architectural act that moves beyond representation. A ferryman who stutters will present two different types of architectural minds. A stilus and a theory of signs will reconsider the ways architects can develop a particular kind of intuition, while architectural technicities will bring forth a membranic and territorial understanding of architecture. Finally, as a melody that sings itself, a larval architecture will be introduced, bringing space and time ...
Solved Exercises in Fractional Calculus
This textbook provides a comprehensive exploration of special functions and fractional calculus, offering a structured approach through solved and proposed exercises. Covering key mathematical concepts such as Mittag-Leffler functions, Kilbas-Saigo functions, and the Erdélyi-Kober fractional integral, it balances theoretical insights with practical applications. Appendices introduce Barnes G-functions and demonstrate the use of Mathematica for fractional calculus, expanding the book’s accessibility. With an updated index and extensive references, this edition serves as a valuable resource for researchers, graduate students, and professionals in applied mathematics and related fields.
Structronic Systems: Smart Structures, Devices And Systems (In 2 Parts)
This book is concerned with electrostructural systems, particularly the interaction between the control of the structural and electrical (electronic) components. Structronics is a new emerging area with many potential applications in the design of high-performance structures, adaptive structures, high-precision systems, and micro-systems. As structures are increasingly being controlled by electronics, the problems of structural engineering can be separated less and less from those of electronic engineering and control engineering. This graduate-level book fills a gap in the literature by considering these problems while giving an overview of the current state of analysis, modelling and contr...
Stability of Gyroscopic Systems
The motion of mechanical systems undergoing rotation about a fixed axis has been the subject of extensive studies over a few centuries. These systems are generally subject to gyroscopic forces which are associated with coriolis accelerations or mass transport and render complex dynamics.The unifying theme among topics presented in this book is the gyroscopic nature of the system equations of motion. The book represents comprehensive and detailed reviews of the state of art in four diverse application areas: flow-induced oscillations in structures, oscillations in rotating systems or rotor dynamics, dynamics of axially moving material systems, and dynamics of gyroelastic systems. The book als...
