An Introduction to the Theory of Aeroelasticity


Book Description

Geared toward advanced undergraduates and graduate students, this outstanding text surveys aeroelastic problems, their historical background, basic physical concepts, and the principles of analysis.










Aeroelastic Vibrations and Stability of Plates and Shells


Book Description

Back-action of aerodynamics onto structures such as wings cause vibrations and may resonantly couple to them, thus causing instabilities (flutter) and endangering the whole structure. By careful choices of geometry, materials and damping mechanisms, hazardous effects on wind engines, planes, turbines and cars can be avoided. Besides an introduction into the problem of flutter, new formulations of flutter problems are given as well as a treatise of supersonic flutter and of a whole range of mechanical effects. Numerical and analytical methods to study them are developed and applied to the analysis of new classes of flutter problems for plates and shallow shells of arbitrary plane form. Specific problems discussed in the book in the context of numerical simulations are supplemented by Fortran code examples (available on the website).




An Introduction to the Theory of Canonical Matrices


Book Description

Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. 1952 edition. 275 problems.




Biomechanics


Book Description

Biomechanics aims to explain the mechanics oflife and living. From molecules to organisms, everything must obey the laws of mechanics. Clarification of mechanics clarifies many things. Biomechanics helps us to appreciate life. It sensitizes us to observe nature. It is a tool for design and invention of devices to improve the quality of life. It is a useful tool, a simple tool, a valuable tool, an unavoidable tool. It is a necessary part of biology and engineering. The method of biomechanics is the method of engineering, which consists of observation, experimentation, theorization, validation, and application. To understand any object, we must know its geometry and materials of construc tion, the mechanical properties of the materials involved, the governing natural laws, the mathematical formulation of specific problems and their solutions, and the results of validation. Once understood, one goes on to develop applications. In my plan to present an outline of biomechanics, I followed the engineering approach and used three volumes. In the first volume, Biomechanics: Mechanical Properties of Living Tissues, the geometrical struc ture and the rheological properties of various materials, tissues, and organs are presented. In the second volume, Biodynamics: Circulation, the physiology of blood circulation is analyzed by the engineering method.




Principles of Aeroelasticity


Book Description

Geared toward professional engineers, this volume will be helpful for students, too. Topics include methods of constructing static and dynamic equations, heated elastic solids, forms of aerodynamic operators, structural operators, and more. 1962 edition.







The Analytical Theory of Heat


Book Description

This unabridged republication of Fourier's Théorie Analytique de la Chaleur offers modern readers access to a landmark of modern science. With this work, the great mathematician first showed how any discontinuous function could be represented by a trigonometric series and advanced other concepts of modern mathematical physics. 1878 English translation.




A Treatise on the Theory of Determinants


Book Description

One of the few comprehensive single-volume treatments of determinants, this compilation features nearly all of the known facts about determinants up to the early 1930s. The text begins with the basic elements of permutations and combinations and sets down the notation and general principles of simple determinants, with a full discussion of such topics as row and column transformation, expansion, multiplication, minors, and symmetry. Additional topics include compound determinants, co-factors, adjugates, rectangular arrays and matrices, linear dependence, and many more subjects. Although its primary focus is upon answering reference and research needs, this book's 485 problems (plus scores of numerical examples) make it extremely useful to students and teachers.