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Vibration of Functionally Graded Beams and Plates
Vibration of Functionally Graded Beams and Plates uses numerically efficient computational techniques to analyze vibration problems associated with FG beams and plates. Introductory material on FG materials and structural members, as well as a range of vibration and shear deformation theories are discussed, providing a valuable summary of these broader themes. The latest research and analysis of vibration in FG materials is presented in an application-oriented manner, linking the research to its importance in fields such as aerospace, nuclear power, and automotive engineering. The book also features research on the complicating effects of thermal environments, piezoelectricity, and elastic f...
Computational Structural Mechanics
Computational Structural Mechanics: Static and Dynamic Behaviors provides a cutting-edge treatment of functionally graded materials and the computational methods and solutions of FG static and vibration problems of plates. Using the Rayleigh-Ritz method, static and dynamic problems related to behavior of FG rectangular, Levy, elliptic, skew and annular plates are discussed in detail. A thorough review of the latest research results, computational methods and applications of FG technology make this an essential resource for researchers in academia and industry. Explains application-oriented treatments of the functionally graded materials used in industry Addresses relevant algorithms and key computational techniques Provides numerical solutions of static and vibration problems associated with functionally graded beams and plates of different geometries
Vibration of Plates
Plates are integral parts of most engineering structures and their vibration analysis is required for safe design. Vibration of Plates provides a comprehensive, self-contained introduction to vibration theory and analysis of two-dimensional plates. Reflecting the author's more than 15 years of original research on plate vibration, this book present
Computational Wave Dynamics
Computational Wave Dynamics explains the analytical, semi-analytical and numerical methods for finding exact or approximate solutions to various linear and nonlinear differential equations governing wave-like flows. Waves exist almost everywhere in nature. Different types include water, sound, electromagnetic, seismic, and shock. This book explores the latest and most efficient linear and nonlinear differential equations that govern all waves with particular emphasis on water waves, helping the reader to incorporate a more profound numerical understanding of waves in a range of engineering solutions. Procedures, algorithms, and solutions are presented in a simple step-by-step style, helping readers with different backgrounds at various levels to engage with this topic. The breadth of different methods addressed in this one book creates a uniquely valuable resource for the comparison of equations, and acts as a very useful summary of recent research into computational wave dynamics.
Computational Nanostructural Dynamics
Nanomaterials possess special mechanical, electrical, and electronic properties. As a result, nanomaterials play a significant role in various nanoelectromechanical systems. Some of these materials include nanoparticles, nanowires, nanotubes, nanotube resonators, and nanoactuators. These structures are broadly utilized in civil, mechanical, and aerospace engineering. The dynamic analysis of nanostructures is important, because one must have knowledge about the mechanical behaviours to get an accurate prediction of dynamic characteristics. Conducting experiments at the nanoscale size is both complicated and expensive. Therefore, the development of appropriate mathematical models for the study...
Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems
"This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and applications"--Provided by publisher.
Fuzzy Differential Equations and Applications for Engineers and Scientists
Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and ini...
Numerical Analysis in Engineering
Deals with methods of obtaining numerical solutions to engineering problems. Topics discussed include an introduction to digital computers, function representation using Taylor's series, error considerations in iterative type computations, searching for roots of equations in a single variable, and the solution of simultaneous equations.
Computational Interval Methods for Engineering Applications
Computational Interval Methods for Engineering Applications explains how to use classical and advanced interval arithmetic to solve differential equations for a wide range of scientific and engineering problems. In mathematical models where there are variables and parameters of uncertain value, interval methods can be used as an efficient tool for handling this uncertainty. In addition, it can produce rigorous enclosures of solutions of practical problems governed by mathematical equations. Other topics discussed in the book include linear differential equations in areas such as robotics, control theory, and structural dynamics, and in nonlinear oscillators, such as Duffing and Van der Pol. ...
Computational Radon Transport Mechanisms
Computational Radon Transport Mechanisms considers various mathematical modeling techniques for understanding radon transport mechanisms across various mediums, including soil, concrete, and water. Organized clearly by types of problems, including steady and unsteady states, inverse problems, and uncertainty, the book provides clear solutions to understanding and analyzing radon transport mechanisms. Generally, radon transport mechanisms are modeled by corresponding equations of flux represented by ordinary and/or partial differential equations and may also be governed by linear/nonlinear differential equations. Recent advances have proposed different analytical, semi-analytical, and numeric...
