TY - BOOK ID - 15993935 TI - Theory of elastic oscillations : equations and methods PY - 2018 SN - 9811047863 9811047855 PB - Singapore : Springer Singapore : Imprint: Springer, DB - UniCat KW - Engineering. KW - Computer mathematics. KW - Continuum mechanics. KW - Vibration. KW - Dynamical systems. KW - Dynamics. KW - Vibration, Dynamical Systems, Control. KW - Computational Science and Engineering. KW - Continuum Mechanics and Mechanics of Materials. KW - Elasticity KW - Mathematics. KW - Elastic properties KW - Young's modulus KW - Mathematical physics KW - Matter KW - Statics KW - Rheology KW - Strains and stresses KW - Strength of materials KW - Properties KW - Computer science. KW - Mechanics. KW - Mechanics, Applied. KW - Solid Mechanics. KW - Applied mechanics KW - Engineering, Mechanical KW - Engineering mathematics KW - Classical mechanics KW - Newtonian mechanics KW - Physics KW - Dynamics KW - Quantum theory KW - Cycles KW - Mechanics KW - Sound KW - Informatics KW - Science KW - Computer mathematics KW - Electronic data processing KW - Mathematics KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy UR - https://www.unicat.be/uniCat?func=search&query=sysid:15993935 AB - This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variational, projection and iterative gradient methods, which, when applied to nonlinear problems, use the procedure of linearization of the original non-linear equations. These methods are not universal and require a different solution for each problem or class of problems.However, in many cases the combination of the methods shown in this book leads to more efficient algorithms for solving important applied problems.To record these algorithms in a unified form, the first part of the book and its appendix devote considerable attention to compiling the general operator equations, which include (as particular cases) equations for vibrations in rods, plates, shells and three-dimensional bodies. They are mainly considered to be periodic or nearly periodic oscillations, which correspond to stationary or nearly stationary regimes of machinery operation. In turn, the second part of the book presents a number of solutions for selected applications. . ER -