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A new approach to the geometrically non-linear dynamic

A new approach to the geometrically non-linear dynamic ab 48.99 € als Taschenbuch: Explicite analytical solutions Part II : Glare 3 hybrid composite panel Part III: Rectangular isotropic plates. Aus dem Bereich: Bücher, Wissenschaft, Physik,

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Price: 48.99 EUR excl. shipping

FE Large Amplitude Free Flexural Vibration Analysis of Plates

FE Large Amplitude Free Flexural Vibration Analysis of Plates ab 48.99 € als Taschenbuch: In this study isotropic plates have been analyzed with an eye on including the laminated composite plates in future. Aus dem Bereich: Bücher, Taschenbücher, Naturwissenschaft,

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Price: 48.99 EUR excl. shipping

Transport equation. Methods of resolution

Transport equation. Methods of resolution ab 48.99 € als Taschenbuch: An efficient method to proof the convergence as well as an estimative of the spectral solution of the isotropic two-dimenssional discrete ordinates problem. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

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Geometrical Optics of Inhomogeneous Media

This monograph is concerned with the fundamentals of up-to-date geo metrical optics treated as an approximate method of wave theory. Geometrical optics has changed dramatically over the last two decades. Primarily, it has acquired a number of novel disciplines: space-time geo metrical optics, the quasi-isotropic approximation, the modern theory of caustics related to catastrophe theory, and perturbation techniques for rays, to name only a few. Another acquisition is the reliable boundaries of appli cability for geometrical optics, based upon the concept of the Fresnel volume for a ray. These recent additions to the field are the focus of dis cussion in the book. We did not attempt to separate study-oriented and illustrative material from that intended for professionals, but rather we spread it throughout the text to facilitate for the reader the mastering of this attractive, intuitively appealing and efficient ray method. In preparing the manuscript we used a set of lecture notes devised for All-Union Schools on Diffraction and Wave Propagation, published in Rus sian. Sections 2.1-4,6 and 10 result from joint efforts of both authors. The other material of the book we wrote separately. I contributed Sects. 2.5,9 and 3.17 and Chap.4; Yu.l. Orlov prepared the rest. Unfortunately, he could not take part in the preparation of the English edition, as he died in 1982 at the age of 41, on the verge of what would have been great achieve ments considering his strong and original talent.

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Price: 60.99 EUR excl. shipping

Introduction to Sonar Transducer Design

A comprehensive intro to sonar transducer design, complete with real world examples, step-by-step instruction, and detailed mathematical reviewIn Introduction to Sonar Transducer Design, renowned sensor engineer Dr. John C. Cochran delivers an instructive and comprehensive exploration of the foundations of sonar transducer design perfect for beginning and experienced professional transducer designers. The book offers a detailed mathematical review of the subject, as well as fulsome design examples.Beginning with a description of acoustic wave propagation, along with a review of radiation from a variety of sources, the book moves on to discuss equivalent circuit models that explain wave propagation in solids and liquids. The book reviews examples of projectors and hydrophones accompanied by complete mathematical solutions. All included math is developed from first principles to a final solution using an intuitive, step-by-step approach.Introduction to Sonar Transducer Design offers professionals and students the analytical tools and assumptions required for start-to-finish transducer design. It also provides:* A thorough introduction to acoustic waves and radiation, including small signals, linear acoustics, the equations of continuity, motion, and the wave equation in a fluid media, and integral formulations* Comprehensive explorations of the elements of transduction, including various forms of impedance, and mechanical and acoustical equivalent circuits, as well as their combination* Practical discussions of waves in solid media, including homogeneous, isotropic, elastic, and solid media, piezo-electricity and piezo-electric ceramic materials, and waves in non-homogeneous, piezo-electric media* In-depth examinations of sonar projectors and sonar hydrophones, including the elements and tools of sonar projector and sonar hydrophone design, as well as their applicationsPerfect for sonar system engineers, particularly those involved in defense, Introduction to Sonar Transducer Design will also earn a place in the libraries of acoustic, audio, underwater communication, and naval engineers.

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Price: 161.99 EUR excl. shipping

Molding Simulation: Theory and Practice

This practical introductory guide to injection molding simulation is aimed at both practicing engineers and students. It will help the reader to innovate and improve part design and molding processes, essential for efficient manufacturing.A user-friendly, case-study-based approach is applied, enhanced by many illustrations in full color. The book is conceptually divided into three parts:Chapters 1-5 introduce the fundamentals of injection molding, focusing the factors governing molding quality and how molding simulation methodology is developed. As they are essential to molding quality, the rheological, thermodynamic, thermal, mechanical, kinetic properties of plastics are fully elaborated in this part, as well as curing kinetics for thermoset plastics.Chapters 6-11 introduce CAE verification of design, a valuable tool for both part and mold designers toward avoiding molding problems in the design stage and to solve issues encountered in injection molding. This part covers design guidelines of part, gating, runner, and cooling channel systems. Temperature control in hot runner systems, prediction and control of warpage, and fiber orientation are also discussed.Chapters 12-17 introduce research and development in innovative molding, illustrating how CAE is applied to advanced molding techniques, including co-/bi-Injection molding, gas-/water-assisted injection molding, foam injection molding, powder injection molding, resin transfer molding, and integrated circuit packaging.The authors come from the creative simulation team at CoreTech System (Moldex3D), winner of the PPS James L. White Innovation Award 2015. Several CAE case study exercises for execution in the Moldex3D software are included to allow readers to practice what they have learned and test their understanding.In the 2nd edition, the concept of Cyber-Physical Systems (CPS) in injection molding is introduced. In order to integrate molding simulation and injection machines, the workflow of machine response characterization is illustrated. By taking into account the real-world machine response, users can more accurately reflect the real-world manufacturing conditions in simulations. The optimized processing conditions obtained from the simulation can then be directly applied on the shop floor, bridging the gap between simulation and manufacturing. In addition, a new flow-fiber coupling model, i.e., the informed-isotropic (IISO) viscosity developed by Dr. Favaloro and Prof. Pipes of Purdue University, to simulate the anisotropic flow for fiber-reinforced thermoplastics is introduced. The IISO coupling is available to simulate some peculiar, irregular filling patterns for fiber-reinforced melts at high fiber concentrations: the free surface advances faster along the side cavity walls.

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Price: 106.99 EUR excl. shipping

Optimal Design of Multi-Phase Materials (eBook, PDF)

This book aims the optimal design of a material (thermic or electrical) obtained as the mixture of a finite number of original materials, not necessarily isotropic. The problem is to place these materials in such a way that the solution of the corresponding state equation minimizes a certain functional that can depend nonlinearly on the gradient of the state function. This is the main novelty in the book. It is well known that this type of problems has no solution in general and therefore that it is needed to work with a relaxed formulation. The main results in the book refer to how to obtain such formulation, the optimality conditions, and the numerical computation of the solutions. In the case of functionals that do not depend on the gradient of the state equation, it is known that a relaxed formulation consists of replacing the original materials with more general materials obtained via homogenization. This includes materials with different properties of the originals but whose behavior can be approximated by microscopic mixtures of them. In the case of a cost functional depending nonlinearly on the gradient, it is also necessary to extend the cost functional to the set of these more general materials. In general, we do not dispose of an explicit representation, and then, to numerically solve the problem, it is necessary to design strategies that allow the functional to be replaced by upper or lower approximations. The book is divided in four chapters. The first is devoted to recalling some classical results related to the homogenization of a sequence of linear elliptic partial differential problems. In the second one, we define the control problem that we are mainly interested in solving in the book. We obtain a relaxed formulation and their main properties, including an explicit representation of the new cost functional, at least in the boundary of its domain. In the third chapter, we study the optimality conditions of the relaxed problem, and we describe some algorithms to numerically solve the problem. We also provide some numerical experiments carried out using such algorithms. Finally, the fourth chapter is devoted to briefly describe some extensions of the results obtained in Chapters 2 and 3 to the case of dealing with several state equations and the case of evolutive problems. The problems covered in the book are interesting for mathematicians and engineers whose work is related to mathematical modeling and the numerical resolution of optimal design problems in material sciences. The contents extend some previous results obtained by the author in collaboration with other colleagues.

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Price: 36.95 EUR excl. shipping