02903nmm a2200337 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002200139245010400161250001700265260004600282300006300328505063600391653004201027653002301069653002001092653002101112653001401133653004201147653001401189710003401203041001901237989003601256490004101292856007201333082000801405520115201413EB001541621EBX0100000000000000093970700000000000000.0cr|||||||||||||||||||||170802 ||| eng a97898110478621 aFridman, Vladimir00aTheory of Elastic OscillationshElektronische RessourcebEquations and Methodscby Vladimir Fridman a1st ed. 2018 aSingaporebSpringer Singaporec2018, 2018 aXIII, 257 p. 11 illus., 3 illus. in colorbonline resource0 aOscillation Equations of a Rod with Rectilinear Axis -- Vibrations of Three-Dimensional Body, Plate and Ring -- Spectral Theory -- Variational and Projection Methods for Solving the Vibration Theory Equations -- Harmonic Analysis -- Discontinuous Functions. Complicated Boundary Conditions -- Exact Solutions of Equations of Oscillation Theory -- Nonlinear Periodic Oscillations.- Part 2. Some Applied Problems: Determination of Elastic-Damping Characteristics of Slide Bearings -- Vibrations of Shafts, Blades and Disks -- Stability of The Equilibrium Position of Rotating Shaft Axis -- Vibrations of Internal Combustion Engine aComputational Science and Engineering aMechanics, Applied aSolid Mechanics aComputer science aVibration aVibration, Dynamical Systems, Control aMechanics2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aFoundations of Engineering Mechanics uhttps://doi.org/10.1007/978-981-10-4786-2?nosfx=yxVerlag3Volltext0 a620 aThis 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.