A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed,...
A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used fo...
Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and results of the process. The study of the interplay of growth and convection flow during the solidification has been an important subject in the broad fields of materials science, condensed matter physics, fluid physics, micro-gravity science, etc. The present book is concerned with the dynamics of free dendritic growth with convective flow in the melt. It systematically presents the results obtained in terms of a unified asymptotic approach in the...
Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and res...
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms...
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in hono...
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton. A probable reason for this is that the painstaking de ciphering of this author's paper in the Philosophical Magazine (Vol. 33, pp. 191-204, 1891) seems to reveal a notion that was introduced in math ematical form much later, that of local structural rearrangement. This notion obviously takes place on the material manifold of modern con tinuum mechanics. It is more or less clear that seemingly different phe nomena - phase transition, local...
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton...
Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through the centuries, particularly in mathematics and science. The Proceedings of IUTAM Symposium on Complementarity, Duality, and Symmetry in Nonlinear Mechanics brings together some of world's leading researchers in both mathematics and mechanics to provide an interdisciplinary but engineering flavoured exploration of the field's foundation and state of the art developments. Topics addressed in this book deal with fundamental theory, methods,...
Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through ...
This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art.
This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelasti...
As any human activity needs goals, mathematical research needs problems. David Hilbert Mechanics is the paradise of mathematical sciences. Leonardo da Vinci Mechanics and mathematics have been complementary partners since N- ton s time, and the history of science shows much evidence of the bene?cial in?uence of these disciplines on each other. Driven by increasingly ela- rate modern technological applications, the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a duality gap between...
As any human activity needs goals, mathematical research needs problems. David Hilbert Mechanics is the paradise of mathematical sciences. Leonardo da...
Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical models and can thereby serve as an excellent resource for students and researchers in various scientific and mathematical disciplines.
This self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis.
Unique features of the Handbook of Applied...
Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemist...
In their 1909 publication Theorie des corps deformables, Eugene and Francois Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers.
The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics. The diverse topics covered include: the properties of Cosserat...
In their 1909 publication Theorie des corps deformables, Eugene and Francois Cosserat made a historic contribution to materials science by...
The first of two volumes dealing with mathematical methods for earth data processing, this volume describes the generalization of various approaches to analyzing nonlinear models. Readers will find a toolbox for problems in geophysics and earth sciences.
The first of two volumes dealing with mathematical methods for earth data processing, this volume describes the generalization of various approache...
