those topics in vector analysis which are most commonly used in dynamics. The introductory chapter reviews some of the basic concepts of Newtonian mechanics and gives a short discussion of units and the ir definitions. Nevertheless, an effort has been lllade to treat the subject of dynalllics in a rather general context with the liberal use of idealizations such as particles, massless rods, uniform disks, and so on, without requiring that the ,configurations approximate practical designs in any particular area of present-day technology. The nature of this sequence explains the presence of several rocket and satellite problems among the illustrative examples. This textbook has evolved from a set of notes which accompany the first of three courses forming a sequence in the general area of flight mechanics. Through the study of the general theory and its application in these exanlples, and by the solution of a variety of problems of comparable difficulty, Inost students can attain a real competence in dynalnics. The greater Inaturity of these students pennits the presentation of the subject from a nlore advanced viewpoint, with additional Inathematical knowledge assunled, and with the inclusion of illustrative examples having more than the usual cOlnplexity. A course at this level is normally taken by first-year graduate students or by undergraduate seniors. Englewood Cliffs, New JerseyĪlthough there has been a steady inlprovelnent in the depth of most introductory courses in dynamics during recent years, the place of an additional course at the intermediate level relnains an important one. opment.of ~ven in the f dynamics troduction rocket and ~, an effort :ral context :is, uniform pproximate y. Most intron additional )urse at this dergraduate ~entation of lathematical Iples having I theory and of problems lpetence In lny the first mechanics. Greenwood Professor, Department of Aeronautical and Astronautical Engineering University of Michigan An annotated bibliography at the end of each chapter, a detailed table of contents and index, and selected end-of-chapter answers complete this highly instructive text.PRINCIPLES OF DYNAMICS by Donald T. Problems included at the end of each chapter will help the student greatly in solidifying his grasp of the principal concepts of classical dynamics. Topics include d'Alembert's principle and the idea of virtual work, the derivation of Langrange's equation of motion, special applications of Lagrange's equations, Hamilton's equations, the Hamilton-Jacobi theory, canonical transformations and an introduction to relativity. It is assumed that students are familiar with the principles of vectorial mechanics and have some facility in the use of this theory for analysis of systems of particles and for rigid-body rotation in two and three dimensions.Īfter a concise review of basic concepts in Chapter 1, the author proceeds from Lagrange's and Hamilton's equations to Hamilton-Jacobi theory and canonical transformations. This text proposes to give graduate students in science and engineering a strong background in the more abstract and intellectually satisfying areas of dynamical theory. This text proposes to give graduate students in science and engineering a strong background in the more abstract and int Since Lagrange laid the foundation of analytical dynamics some two centuries ago, the discipline has continued to evolve and develop, embracing the theories of Hamilton and Jacobi, Einstein's relativity theory and advanced theories of classical mechanics. Since Lagrange laid the foundation of analytical dynamics some two centuries ago, the discipline has continued to evolve and develop, embracing the theories of Hamilton and Jacobi, Einstein's relativity theory and advanced theories of classical mechanics.
0 kommentar(er)
