Engineering Mechanics Volume 2 Dynamics

[Candi Ruman]

DrVasant Matsagar is currently serving as an Associate Professor in the Department of Civil Engineering at Indian Institute of Technology (IIT) Delhi. He obtained his doctorate degree from Indian Institute of Technology (IIT) Bombay in 2005 in the area of seismic base isolation of structures. He performed post-doctoral research at the Lawrence Technological University (LTU), USA in the area of carbon fibre reinforced polymers (CFRP) in bridge structures for more than three years. His current research interests include structural dynamics and vibration control; multi-hazard protection of structures from earthquake, blast, fire, and wind; finite element methods; fibre reinforced polymers (FRP) in prestressed concrete structures; and bridge engineering. He has guided students at both undergraduate and postgraduate levels in their bachelors and masters projects and doctoral research. Besides student guidance, he is actively engaged in sponsored research and consultancy projects at national and international levels. He has published around forty international journal papers, sixty international conference manuscripts, a book, and has filed for patents. He is also involved in teaching courses in structural engineering, e.g. structural analysis, finite element methods, numerical methods, structural stability, structural dynamics, design of steel and concrete structures to name a few. He has organised several short- and long-term courses as quality improvement programme (QIP) and continuing education programme (CEP), and delivered invited lectures in different educational and research organisations.

Dr. Matsagar is the recipient of numerous national and international awards including "Erasmus Mundus Award" in 2013; "DST Young Scientist Award" by the Department of Science and Technology (DST) in 2012; "DAAD Awards" by the Deutscher Akademischer Austausch Dienst (DAAD) in 2009 and 2012; "DAE Young Scientist Award" by the Department of Atomic Energy (DAE) in 2011; "IBC Award for Excellence in Built Environment" by the Indian Buildings Congress (IBC) in 2010; "IEI Young Engineer Award" by the Institution of Engineers (India) in 2009; and "Outstanding Young Faculty Fellowship" by the Indian Institute of Technology (IIT) Delhi in 2009. He has also been appointed as "DAAD Research Ambassador" by the German Academic Exchange Programme since the academic session 2010.

A key objective of these volumes, which present a vector treatment of the principles of mechanics, is to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results. In the first volume, the elements of vector calculus and the matrix algebra are reviewed in appendices. Unusual mathematical topics, such as singularity functions and some elements of tensor analysis, are introduced within the text. A logical and systematic building of well-known kinematic concepts, theorems, and formulas, illustrated by examples and problems, is presented offering insights into both fundamentals and applications. Problems amplify the material and pave the way for advanced study of topics in mechanical design analysis, advanced kinematics of mechanisms and analytical dynamics, mechanical vibrations and controls, and continuum mechanics of solids and fluids.

Volume I of Principles of Engineering Mechanics provides the basis for a stimulating and rewarding one-term course for advanced undergraduate and first-year graduate students specializing in mechanics, engineering science, engineering physics, applied mathematics, materials science, and mechanical, aerospace, and civil engineering. Professionals working in related fields of applied mathematics will find it a practical review and a quick reference for questions involving basic kinematics.

This book is the second of two volumes intended for use in courses in classical mechanics. This volume deals with dynamics. The symbolic language used is vector analysis. More than 100 illustrative examples and problems are presented, and practice problems are provided as problem sets.

Before joining San Diego State University, Dr. Peiman Naseradinmousavi was a Visiting Assistant Professor of Purdue University. He received his Ph.D and B.Sc. degrees in mechanical engineering (dynamics and control) from Villanova and Tabriz universities, in 2012 and 2002, respectively.

52. Bo Wang, Sergey Nersesov, Hashem Ashrafiuon, Peiman Naseradinmousavi, and Miroslav Krstic, "Source Seeking for Planar Underactuated Vehicles by Surge Force Tuning", The IEEE Conference on Decision and Control, 2022.

Reddy is known worldwide for his significant contributions to the field of applied mechanics through his pioneering works on the development of shear deformation theories (that bear his name in the literature as the Reddy third-order plate theory and the Reddy layerwise theory) and the authorship of widely used textbooks on the linear and nonlinear finite element analysis, variational methods, composite materials and structures, applied functional analysis, and continuum mechanics. His writings have had a major impact on engineering education and technological advances around the world.

The current research of Dr. Reddy and his group deals with 7- and 12-parameter shell theories and non-local and non-classical mechanics theories using the ideas of Eringen, Mindlin, Koiter, and others. Dr. Reddy and Dr. Srinivasa have conceived a transformative non-parametric network based methodology (called GraFEA) to study damage and fracture in elastic and viscoelastic solids, including composite structures.

The present edition incorporates a number of revisions and additions which should improve its usefulness as a textbook without changing the basic organization or the general philosophy of presentation of the subject matter. The experience of the past few years at the California Institute of Technology and other schools indicates that the book has been useful to engineering students who wish to prepare for more advanced studies and applications of dynamics, and hence a new edition was felt to be justified. Among the additions and modifications the following may be mentioned to indicate the scope of the revision. The section on dimensional analysis has been rewritten and a brief treatment of the theory of models has been added. The section on impact problems has been revised, and a more extensive treatment of variable mass systems has been included. A more general discussion of the moment of momentum equations for systems of particles has been added, and the general momentum and energy equations for rigid bodies have been more completely developed. The discussion of rotation about a fixed point and gyroscopic motion has been expanded and somewhat more complex systems have been considered, including problems on the stability of rolling motion. The problem of longitudinal waves in an elastic bar is discussed, and a comparison is made between wave propagation techniques and vibration methods for such problems. The discussion of generalized coordinates and Lagrange's equations has been revised, and a general treatment of the problem of small oscillations of a conservative system has been added. The sections on the Calculus of Variations and Hamilton's Principle have been rewritten with some expansion. Over one hundred new problems have been added to increase the total number to some four hundred. All of the new problems have been thoroughly tested in classroom use. The number of illustrative examples has been increased and many of the original examples have been modified. As in the first edition, the main emphasis of the book is on particle and rigid-body dynamics, although some other aspects of the subject have been included to show how the methods of classical mechanics are applied to the various branches of engineering science. Some of these topics, such as fluid dynamics and the kinetics of gases, have been treated in a very brief fashion. Although the student will make a more complete analysis of these subjects in specialized courses, it is believed that the brief discussions will help him to acquire a broader view of the applied sciences. In all such instances care has been taken to use methods that can be extended later for more complete treatments, and the student has been informed of the limitations of the analyses. As a textbook the main emphasis has been on method and on development of fundamental principles. The problems form an essential part of the presentation, and important conclusions are sometimes given in problems and illustrative examples. The student should examine such problems and note the results, even if the details of the proofs are not carried through.

Advances and Trends in Structural Engineering, Mechanics and Computation features over 300 papers classified into 21 sections, which were presented at the Fourth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2010, Cape Town, South Africa, 6-8 September 2010). The SEMC conferences have been held every 3 years in Cape Town, and since then brought together academics, researchers and practitioners active in structural mechanics, associated computation and structural engineering. The main purpose of the conferences was to review recent achievements in the advancement of knowledge and understanding in these areas, share the latest developments, and address the challenges that the present and the future pose.

All major aspects of structural mechanics, associated computation and structural engineering are addressed in the present volume, including: structural mechanics (dynamics, vibration, impact, buckling, seismic response, fluid-structure interaction, soil-structure interaction); mechanics of materials (plasticity, fracture, fatigue, creep, shrinkage, damage, deterioration); numerical/computational modelling (numerical methods, formulations, finite-element modelling, structural modelling, material modelling, simulations); structural engineering and construction in the various materials (steel, concrete, timber, masonry, glass, steel-concrete composite, fibre-reinforced composite, laminated composite); design, construction and operational considerations (fire resistance, seismic resistance, loading, safety and reliability, codification, design optimisation, construction, assembly, monitoring, maintenance, repair, retrofitting). The structures dealt with include all sorts of buildings, sports facilities, bridges, viaducts, tunnels, underground structures, foundation structures, coastal structures, dams, industrial towers and masts, containment structures (silos, tanks and pressure vessels), ship and aircraft structures, motor-vehicle structures, mechanical components and biological structures.

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