Advances in Applied Mechanics

Advances in Applied Mechanics
Author:
Publisher: Elsevier
Total Pages: 355
Release: 2007-04-04
Genre: Technology & Engineering
ISBN: 0080474942

The major developments in the fields of fluid and solid mechanics are scattered throughout an array of technical journals, often making it difficult to find what the real advances are, especially for a researcher new to the field or an individual interested in discovering the state-of-the-art in connection with applications. The Advances in Applied Mechanics book series draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics, but also of interest to the many who use the results of investigations in mechanics in various application areas such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering. Advances in Applied Mechanics continues to be a publication of high visibility and impact. Review articles are provided by active, leading scientists in the field by invitation of the editors. Many of the articles published have become classics within their fields. Volume 41 in the series contains articles on topological fluid mechanics, electrospinning, vortex dynamics and self-assembly. - Covers all fields of the mechanical sciences - Highlights classical and modern areas of mechanics that are ready for review - Provides comprehensive coverage of the field in question

Rotating Shell Dynamics

Rotating Shell Dynamics
Author: Hua Li
Publisher: Elsevier
Total Pages: 283
Release: 2005-01-19
Genre: Technology & Engineering
ISBN: 0080455697

There are numerous engineering applications for high-speed rotating structures which rotate about their symmetric axes. For example, free-flight sub-munition projectiles rotate at high speeds in order to achieve an aerodynamically-stable flight. This is the first book of its kind to provide a comprehensive and systematic description of rotating shell dynamics. It not only provides the basic derivation of the dynamic governing equations for rotating shells, but documents benchmark results for free vibration, critical speed and parametric resonance. It is written in a simple and clear manner making it accessible both the expert and graduate student. The first monograph to provide a detailed description of rotating shell dynamics Dynamic problems such as free vibration and dynamic stability are examined in detail, for basic shells of revolutions

Rational and Applied Mechanics

Rational and Applied Mechanics
Author: Nikolai Nikolaevich Polyakhov
Publisher: Springer Nature
Total Pages: 526
Release: 2021-08-30
Genre: Technology & Engineering
ISBN: 3030640612

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

Duality System in Applied Mechanics and Optimal Control

Duality System in Applied Mechanics and Optimal Control
Author: Wan-Xie Zhong
Publisher: Springer Science & Business Media
Total Pages: 467
Release: 2004-05-31
Genre: Mathematics
ISBN: 1402078803

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, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.

Porous Media

Porous Media
Author: Wolfgang Ehlers
Publisher: Springer Science & Business Media
Total Pages: 459
Release: 2013-03-09
Genre: Technology & Engineering
ISBN: 3662049996

The present volume offers a state-of-the-art report on the various recent sci entific developments in the Theory of Porous Media (TPM) comprehending the basic theoretical concepts in continuum mechanics on porous and mul tiphasic materials as well as the wide range of experimental and numerical applications. Following this, the volume does not only address the sophisti cated reader but also the interested beginner in the area of Porous Media by presenting a collection of articles. These articles written by experts in the field concern the fundamental approaches to multiphasic and porous materials as well as various applications to engineering problems. In many branches of engineering just as in applied natural sciences like bio- and chemomechanics, one often has to deal with continuum mechanical problems which cannot be uniquely classified within the well-known disci plines of either "solid mechanics" or "fluid mechanics". These problems, characterized by the fact that they require a unified treatment of volumetri cally coupled solid-fluid aggregates; basically fall into the categories of either mixtures or porous media. Following this, there is a broad variety of problems ranging in this category as for example the investigation of reacting fluid mix tures or solid-fluid suspensions as well as the investigation of the coupled solid deformation and pore-fluid flow behaviour of liquid- and gas-saturated porous solid skeleton materials like geomaterials (soil, rock, concrete, etc. ), polymeric and metallic foams or biomaterials (hard and soft tissues, etc).

Holographic Nondestructive Testing

Holographic Nondestructive Testing
Author: Robert Erf
Publisher: Elsevier
Total Pages: 461
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0323149502

Holographic Nondestructive Testing presents a unified discussion of the principles and methods of holography and its application holographic nondestructive testing. The book discusses in detail the basic theoretical concepts, the experimental methods for recording holograms, and different specialized holographic techniques. Several kinds of holography are discussed in the beginning chapters such as continuous-wave holography, pulsed holography, and interferometric holography. Other topics covered in the book are holographic surface contouring, holographic correlation, and holographic vibration analysis. Microwave and acoustical holography are the major areas of interest in Chapters 9 and 10. The text serves as an important reference to both engineers and optical scientists.

The Virtual Crack Closure Technique: History, Approach and Applications

The Virtual Crack Closure Technique: History, Approach and Applications
Author: Ronald Krueger
Publisher:
Total Pages: 66
Release: 2002
Genre:
ISBN:

An overview of the virtual crack closure technique is presented. The approach used is discussed, the history summarized, and insight into its applications provided. Equations for two-dimensional quadrilateral elements with linear and quadratic shape functions are given. Formula for applying the technique in conjuction with three-dimensional solid elements as well as plate/shell elements are also provided. Necessary modifications for the use of the method with geometrically nonlinear finite element analysis and corrections required for elements at the crack tip with different lengths and widths are discussed. The problems associated with cracks or delaminations propagating between different materials are mentioned briefly, as well as a strategy to minimize these problems. Due to an increased interest in using a fracture mechanics based approach to assess the damage tolerance of composite structures in the design phase and during certification, the engineering problems selected as examples and given as references focus on the application of the technique to components made of composite materials.

Applied Mechanics and Civil Engineering II

Applied Mechanics and Civil Engineering II
Author: Li Quan Xie
Publisher: Trans Tech Publications Ltd
Total Pages: 346
Release: 2012-06-26
Genre: Technology & Engineering
ISBN: 3038138665

Selected, peer reviewed papers from the Second SREE Workshop on Applied Mechanics and Civil Engineering (AMCE 2012), September 15-16, 2012, Hong Kong