The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact and variational principles of a Hamiltonian type. The books will be useful for graduate students in mechanics and applied mathematics, as well as for researchers in these fields.Part 1 of this book presents an introduction to fractional calculus. Chapter 1 briefly gives definitions and notions that are needed later in the book and Chapter 2 presents definitions and some of the properties of fractional integrals and derivatives.Part 2 is the central part of the book. Chapter 3 presents the analysis of waves in fractional viscoelastic materials in infinite and finite spatial domains. In Chapter 4, the problem of oscillations of a translatory moving rigid body, attached to a heavy, or light viscoelastic rod of fractional order type, is studied in detail. In Chapter 5, the authors analyze a specific engineering problem of the impact of a viscoelastic rod against a rigid wall. Finally, in Chapter 6, some results for the optimization of a functional containing fractional derivatives of constant and variable order are presented.
Populaire auteurs
Cram101 Textbook Reviews (948) J.S. Bach (447) Wolfgang Amadeus Mozart (305) Collectif (268) Schrijf als eerste een recensie over dit item (259) Doug Gelbert (238) Princess of Patterns (211) Charles Dickens (209) R.B. Grimm (197) Carolyn Keene (187) Jules Verne (183) Philipp Winterberg (180) William Shakespeare (174) Youscribe (172) Lucas Nicolato (169) Edgar Allan Poe (166) Herman Melville (166) Anonymous (165) Gilad Soffer (164) Robert Louis Stevenson (159)Populaire gewichtsboeken
418 KB 425 KB 435 KB 459 KB 445 KB 439 KB 386 KB 413 KB 493 KB 432 KB 455 KB 471 KB 421 KB 451 KB 485 KB 472 KB 416 KB 369 KB 419 KB 427 KB